๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Search

Search newform orbits

5951 orbits; showing 4701โ€“4800 ยท JSON

LabelDimTrace formSignCMCurve
855.2.a.f22q+2q4โˆ’2q5โˆ’2q7+O(q8)2q + 2q^{4} - 2q^{5} - 2q^{7} + O(q^{8})
855.2.a.g22q+10q4โˆ’2q5โˆ’2q7+O(q8)2q + 10q^{4} - 2q^{5} - 2q^{7} + O(q^{8})
855.2.a.h33qโˆ’q2+q4โˆ’3q5+O(q8)3q - q^{2} + q^{4} - 3q^{5} + O(q^{8})
855.2.a.i33qโˆ’q2+q4โˆ’3q5+O(q8)3q - q^{2} + q^{4} - 3q^{5} + O(q^{8})
855.2.a.j33qโˆ’q2+q4+3q5โˆ’4q7+O(q8)3q - q^{2} + q^{4} + 3q^{5} - 4q^{7} + O(q^{8})
855.2.a.k33q+q2+q4โˆ’3q5โˆ’4q7+O(q8)3q + q^{2} + q^{4} - 3q^{5} - 4q^{7} + O(q^{8})
855.2.a.l33q+q2+q4+3q5+O(q8)3q + q^{2} + q^{4} + 3q^{5} + O(q^{8})
855.2.a.m44q+2q2+8q4+4q5+4q7+O(q8)4q + 2q^{2} + 8q^{4} + 4q^{5} + 4q^{7} + O(q^{8})
856.2.a.a1qโˆ’q3+O(q8)q - q^{3} + O(q^{8})856c1 rank 1
856.2.a.b1q+q3โˆ’4q5+2q7+O(q8)q + q^{3} - 4q^{5} + 2q^{7} + O(q^{8})856b1 rank 1
856.2.a.c1q+q3โˆ’4q7+O(q8)q + q^{3} - 4q^{7} + O(q^{8})856a1 rank 1
856.2.a.d1q+2q3โˆ’3q5+O(q8)q + 2q^{3} - 3q^{5} + O(q^{8})856d1 rank 1
856.2.a.e22qโˆ’q3โˆ’q5+O(q8)2q - q^{3} - q^{5} + O(q^{8})
856.2.a.f22q+2q3+2q7+O(q8)2q + 2q^{3} + 2q^{7} + O(q^{8})
856.2.a.g33q+2q3+3q5+4q7+O(q8)3q + 2q^{3} + 3q^{5} + 4q^{7} + O(q^{8})
856.2.a.h66qโˆ’7q3โˆ’2q5โˆ’4q7+O(q8)6q - 7q^{3} - 2q^{5} - 4q^{7} + O(q^{8})
856.2.a.i1010qโˆ’q3+5q5โˆ’4q7+O(q8)10q - q^{3} + 5q^{5} - 4q^{7} + O(q^{8})
857.2.a.a2828qโˆ’4q2โˆ’12q3+14q4โˆ’6q5โˆ’6q6โˆ’38q7+O(q8)28q - 4q^{2} - 12q^{3} + 14q^{4} - 6q^{5} - 6q^{6} - 38q^{7} + O(q^{8})โˆ’1-1
857.2.a.b4343q+3q2+12q3+55q4+6q5+44q7+O(q8)43q + 3q^{2} + 12q^{3} + 55q^{4} + 6q^{5} + 44q^{7} + O(q^{8})+1+1
858.2.a.a1qโˆ’q2โˆ’q3+q4+2q5+q6+O(q8)q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} + O(q^{8})+1+1858a1 rank 0
858.2.a.b1qโˆ’q2+q3+q4โˆ’2q5โˆ’q6+4q7+O(q8)q - q^{2} + q^{3} + q^{4} - 2q^{5} - q^{6} + 4q^{7} + O(q^{8})+1+1858c1 rank 0
858.2.a.c1qโˆ’q2+q3+q4โˆ’q6โˆ’4q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1858b1 rank 1
858.2.a.d1qโˆ’q2+q3+q4+3q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} + q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})+1+1858d1 rank 0
858.2.a.e1q+q2โˆ’q3+q4โˆ’3q5โˆ’q6+q7+O(q8)q + q^{2} - q^{3} + q^{4} - 3q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1858f1 rank 1
858.2.a.f1q+q2โˆ’q3+q4โˆ’2q5โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} - 2q^{5} - q^{6} + O(q^{8})+1+1858h1 rank 0
858.2.a.g1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’3q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - 3q^{7} + O(q^{8})โˆ’1-1858g1 rank 1
858.2.a.h1q+q2โˆ’q3+q4+2q5โˆ’q6+4q7+O(q8)q + q^{2} - q^{3} + q^{4} + 2q^{5} - q^{6} + 4q^{7} + O(q^{8})+1+1858e1 rank 0
858.2.a.i1q+q2โˆ’q3+q4+4q5โˆ’q6+O(q8)q + q^{2} - q^{3} + q^{4} + 4q^{5} - q^{6} + O(q^{8})+1+1858i1 rank 0
858.2.a.j1q+q2+q3+q4โˆ’3q5+q6+5q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} + 5q^{7} + O(q^{8})+1+1858j1 rank 0
858.2.a.k1q+q2+q3+q4โˆ’q5+q6+q7+O(q8)q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{7} + O(q^{8})+1+1858k1 rank 0
858.2.a.l1q+q2+q3+q4+2q5+q6+4q7+O(q8)q + q^{2} + q^{3} + q^{4} + 2q^{5} + q^{6} + 4q^{7} + O(q^{8})+1+1858l1 rank 0
858.2.a.m1q+q2+q3+q4+4q5+q6โˆ’4q7+O(q8)q + q^{2} + q^{3} + q^{4} + 4q^{5} + q^{6} - 4q^{7} + O(q^{8})+1+1858m1 rank 0
858.2.a.n22qโˆ’2q2โˆ’2q3+2q4โˆ’3q5+2q6โˆ’q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} - 3q^{5} + 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
858.2.a.o22qโˆ’2q2โˆ’2q3+2q4+q5+2q6โˆ’q7+O(q8)2q - 2q^{2} - 2q^{3} + 2q^{4} + q^{5} + 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
858.2.a.p22qโˆ’2q2+2q3+2q4โˆ’q5โˆ’2q6+3q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - q^{5} - 2q^{6} + 3q^{7} + O(q^{8})+1+1
858.2.a.q22q+2q2+2q3+2q4+4q5+2q6+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 2q^{6} + O(q^{8})+1+1
859.2.a.a2929qโˆ’10q2โˆ’5q3+20q4โˆ’21q5โˆ’7q6โˆ’4q7+O(q8)29q - 10q^{2} - 5q^{3} + 20q^{4} - 21q^{5} - 7q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
859.2.a.b4242q+10q2+q3+48q4+21q5+q6+2q7+O(q8)42q + 10q^{2} + q^{3} + 48q^{4} + 21q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
860.2.a.a33qโˆ’3q3+3q5โˆ’3q7+O(q8)3q - 3q^{3} + 3q^{5} - 3q^{7} + O(q^{8})
860.2.a.b33q+3q3โˆ’3q5+3q7+O(q8)3q + 3q^{3} - 3q^{5} + 3q^{7} + O(q^{8})
860.2.a.c44qโˆ’q3โˆ’4q5โˆ’7q7+O(q8)4q - q^{3} - 4q^{5} - 7q^{7} + O(q^{8})
860.2.a.d44q+q3+4q5+7q7+O(q8)4q + q^{3} + 4q^{5} + 7q^{7} + O(q^{8})
861.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+2q5+q6+q7+O(q8)q - q^{2} - q^{3} - q^{4} + 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1861a1 rank 0
861.2.a.b1qโˆ’q2+q3โˆ’q4โˆ’3q5โˆ’q6+q7+O(q8)q - q^{2} + q^{3} - q^{4} - 3q^{5} - q^{6} + q^{7} + O(q^{8})โˆ’1-1861d1 rank 1
861.2.a.c1qโˆ’q2+q3โˆ’q4+3q5โˆ’q6โˆ’q7+O(q8)q - q^{2} + q^{3} - q^{4} + 3q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1861c1 rank 1
861.2.a.d1q+q2+q3โˆ’q4โˆ’q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} - q^{4} - q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1861b1 rank 1
861.2.a.e22qโˆ’2q2+2q3+2q4โˆ’2q5โˆ’2q6+2q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 2q^{5} - 2q^{6} + 2q^{7} + O(q^{8})โˆ’1-1
861.2.a.f22qโˆ’q2โˆ’2q3+5q4+4q5+q6+2q7+O(q8)2q - q^{2} - 2q^{3} + 5q^{4} + 4q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
861.2.a.g22qโˆ’q2+2q3+5q4โˆ’3q5โˆ’q6โˆ’2q7+O(q8)2q - q^{2} + 2q^{3} + 5q^{4} - 3q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
861.2.a.h33qโˆ’q2โˆ’3q3+q4+q5+q6+3q7+O(q8)3q - q^{2} - 3q^{3} + q^{4} + q^{5} + q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
861.2.a.i44q+q2โˆ’4q3+3q4โˆ’3q5โˆ’q6โˆ’4q7+O(q8)4q + q^{2} - 4q^{3} + 3q^{4} - 3q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
861.2.a.j55qโˆ’3q2โˆ’5q3+7q4+q5+3q6โˆ’5q7+O(q8)5q - 3q^{2} - 5q^{3} + 7q^{4} + q^{5} + 3q^{6} - 5q^{7} + O(q^{8})+1+1
861.2.a.k55q+3q2โˆ’5q3+11q4โˆ’9q5โˆ’3q6+5q7+O(q8)5q + 3q^{2} - 5q^{3} + 11q^{4} - 9q^{5} - 3q^{6} + 5q^{7} + O(q^{8})+1+1
861.2.a.l55q+3q2+5q3+7q4+3q5+3q6โˆ’5q7+O(q8)5q + 3q^{2} + 5q^{3} + 7q^{4} + 3q^{5} + 3q^{6} - 5q^{7} + O(q^{8})+1+1
861.2.a.m77q+4q2+7q3+8q4+q5+4q6+7q7+O(q8)7q + 4q^{2} + 7q^{3} + 8q^{4} + q^{5} + 4q^{6} + 7q^{7} + O(q^{8})+1+1
862.2.a.a1qโˆ’q2โˆ’3q3+q4โˆ’q5+3q6โˆ’2q7+O(q8)q - q^{2} - 3q^{3} + q^{4} - q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1862b1 rank 1
862.2.a.b1qโˆ’q2+q3+q4โˆ’q5โˆ’q6โˆ’2q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1862a1 rank 1
862.2.a.c1q+q2โˆ’q3+q4โˆ’3q5โˆ’q6+2q7+O(q8)q + q^{2} - q^{3} + q^{4} - 3q^{5} - q^{6} + 2q^{7} + O(q^{8})โˆ’1-1862f1 rank 1
862.2.a.d1q+q2โˆ’q3+q4+q5โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} - 2q^{7} + O(q^{8})โˆ’1-1862e1 rank 1
862.2.a.e1q+q2+q4+2q5+4q7+O(q8)q + q^{2} + q^{4} + 2q^{5} + 4q^{7} + O(q^{8})+1+1862c1 rank 0
862.2.a.f1q+q2+q3+q4โˆ’3q5+q6+2q7+O(q8)q + q^{2} + q^{3} + q^{4} - 3q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1862d1 rank 0
862.2.a.g22q+2q2+2q4+2q5+2q7+O(q8)2q + 2q^{2} + 2q^{4} + 2q^{5} + 2q^{7} + O(q^{8})+1+1
862.2.a.h55q+5q2+5q3+5q4+3q5+5q6โˆ’3q7+O(q8)5q + 5q^{2} + 5q^{3} + 5q^{4} + 3q^{5} + 5q^{6} - 3q^{7} + O(q^{8})+1+1
862.2.a.i66qโˆ’6q2โˆ’2q3+6q4โˆ’2q5+2q6+3q7+O(q8)6q - 6q^{2} - 2q^{3} + 6q^{4} - 2q^{5} + 2q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
862.2.a.j66q+6q2โˆ’8q3+6q4โˆ’8q5โˆ’8q6โˆ’9q7+O(q8)6q + 6q^{2} - 8q^{3} + 6q^{4} - 8q^{5} - 8q^{6} - 9q^{7} + O(q^{8})โˆ’1-1
862.2.a.k1010qโˆ’10q2+4q3+10q4+4q5โˆ’4q6โˆ’3q7+O(q8)10q - 10q^{2} + 4q^{3} + 10q^{4} + 4q^{5} - 4q^{6} - 3q^{7} + O(q^{8})+1+1
863.2.a.a44q+q2โˆ’4q3+q4โˆ’9q5+3q6โˆ’4q7+O(q8)4q + q^{2} - 4q^{3} + q^{4} - 9q^{5} + 3q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
863.2.a.b2222qโˆ’6q2โˆ’2q3+16q4โˆ’2q5โˆ’13q6โˆ’20q7+O(q8)22q - 6q^{2} - 2q^{3} + 16q^{4} - 2q^{5} - 13q^{6} - 20q^{7} + O(q^{8})โˆ’1-1
863.2.a.c4646q+4q2+6q3+52q4+11q5+2q6+28q7+O(q8)46q + 4q^{2} + 6q^{3} + 52q^{4} + 11q^{5} + 2q^{6} + 28q^{7} + O(q^{8})+1+1
864.2.a.a1qโˆ’2q5โˆ’3q7+O(q8)q - 2q^{5} - 3q^{7} + O(q^{8})864i1 rank 0
864.2.a.b1qโˆ’2q5โˆ’q7+O(q8)q - 2q^{5} - q^{7} + O(q^{8})864k1 rank 1
864.2.a.c1qโˆ’2q5+q7+O(q8)q - 2q^{5} + q^{7} + O(q^{8})864c1 rank 1
864.2.a.d1qโˆ’2q5+3q7+O(q8)q - 2q^{5} + 3q^{7} + O(q^{8})864l1 rank 1
864.2.a.e1qโˆ’q5โˆ’3q7+O(q8)q - q^{5} - 3q^{7} + O(q^{8})864a1 rank 1
864.2.a.f1qโˆ’q5+3q7+O(q8)q - q^{5} + 3q^{7} + O(q^{8})864d1 rank 0
864.2.a.g1q+q5โˆ’3q7+O(q8)q + q^{5} - 3q^{7} + O(q^{8})864j1 rank 1
864.2.a.h1q+q5+3q7+O(q8)q + q^{5} + 3q^{7} + O(q^{8})864g1 rank 0
864.2.a.i1q+2q5โˆ’3q7+O(q8)q + 2q^{5} - 3q^{7} + O(q^{8})864b1 rank 1
864.2.a.j1q+2q5โˆ’q7+O(q8)q + 2q^{5} - q^{7} + O(q^{8})864e1 rank 0
864.2.a.k1q+2q5+q7+O(q8)q + 2q^{5} + q^{7} + O(q^{8})864h1 rank 0
864.2.a.l1q+2q5+3q7+O(q8)q + 2q^{5} + 3q^{7} + O(q^{8})864f1 rank 0
864.2.a.m22q+O(q8)2q + O(q^{8})
864.2.a.n22q+O(q8)2q + O(q^{8})
865.2.a.a99qโˆ’3q2โˆ’4q3+q4+9q5โˆ’3q6โˆ’6q7+O(q8)9q - 3q^{2} - 4q^{3} + q^{4} + 9q^{5} - 3q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
865.2.a.b1313q+3q2+4q3+9q4โˆ’13q5+5q6+6q7+O(q8)13q + 3q^{2} + 4q^{3} + 9q^{4} - 13q^{5} + 5q^{6} + 6q^{7} + O(q^{8})+1+1
865.2.a.c1616qโˆ’6q2โˆ’8q3+18q4โˆ’16q5โˆ’5q6โˆ’12q7+O(q8)16q - 6q^{2} - 8q^{3} + 18q^{4} - 16q^{5} - 5q^{6} - 12q^{7} + O(q^{8})โˆ’1-1
865.2.a.d1919q+3q2+4q3+27q4+19q5+7q6+4q7+O(q8)19q + 3q^{2} + 4q^{3} + 27q^{4} + 19q^{5} + 7q^{6} + 4q^{7} + O(q^{8})+1+1
866.2.a.a1q+q2โˆ’2q3+q4โˆ’2q6โˆ’q7+O(q8)q + q^{2} - 2q^{3} + q^{4} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1866a1 rank 1
866.2.a.b22q+2q2+2q4โˆ’4q5โˆ’2q7+O(q8)2q + 2q^{2} + 2q^{4} - 4q^{5} - 2q^{7} + O(q^{8})โˆ’1-1
866.2.a.c55qโˆ’5q2+5q4โˆ’2q5โˆ’5q7+O(q8)5q - 5q^{2} + 5q^{4} - 2q^{5} - 5q^{7} + O(q^{8})โˆ’1-1
866.2.a.d1313qโˆ’13q2+2q3+13q4โˆ’2q6+9q7+O(q8)13q - 13q^{2} + 2q^{3} + 13q^{4} - 2q^{6} + 9q^{7} + O(q^{8})+1+1
866.2.a.e1616q+16q2+4q3+16q4+6q5+4q6+3q7+O(q8)16q + 16q^{2} + 4q^{3} + 16q^{4} + 6q^{5} + 4q^{6} + 3q^{7} + O(q^{8})+1+1
867.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+q6โˆ’4q7+O(q8)q - q^{2} - q^{3} - q^{4} + q^{6} - 4q^{7} + O(q^{8})867b1 rank 1
867.2.a.b1qโˆ’q2+q3โˆ’q4โˆ’q6+4q7+O(q8)q - q^{2} + q^{3} - q^{4} - q^{6} + 4q^{7} + O(q^{8})867d1 rank 0
867.2.a.c1qโˆ’q3โˆ’2q4โˆ’3q5+4q7+O(q8)q - q^{3} - 2q^{4} - 3q^{5} + 4q^{7} + O(q^{8})867a1 rank 1
867.2.a.d1q+2q2โˆ’q3+2q4โˆ’3q5โˆ’2q6+2q7+O(q8)q + 2q^{2} - q^{3} + 2q^{4} - 3q^{5} - 2q^{6} + 2q^{7} + O(q^{8})867c1 rank 1
867.2.a.e1q+2q2+q3+2q4+3q5+2q6โˆ’2q7+O(q8)q + 2q^{2} + q^{3} + 2q^{4} + 3q^{5} + 2q^{6} - 2q^{7} + O(q^{8})867e1 rank 0
867.2.a.f22qโˆ’q2+2q3+5q4โˆ’3q5โˆ’q6+O(q8)2q - q^{2} + 2q^{3} + 5q^{4} - 3q^{5} - q^{6} + O(q^{8})
867.2.a.g22q+2q2โˆ’2q3+2q4โˆ’2q6โˆ’6q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} - 6q^{7} + O(q^{8})
867.2.a.h22q+2q2+2q3+2q4+2q6+6q7+O(q8)2q + 2q^{2} + 2q^{3} + 2q^{4} + 2q^{6} + 6q^{7} + O(q^{8})

โ† previous ยท next โ†’