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

Search newform orbits

5951 orbits; showing 2701โ€“2800 ยท JSON

LabelDimTrace formSignCMCurve
591.2.a.a1qโˆ’q3โˆ’2q4+q7+O(q8)q - q^{3} - 2q^{4} + q^{7} + O(q^{8})โˆ’1-1591a1 rank 1
591.2.a.b22qโˆ’2q3โˆ’2q7+O(q8)2q - 2q^{3} - 2q^{7} + O(q^{8})โˆ’1-1
591.2.a.c33qโˆ’2q2+3q3+2q4โˆ’6q5โˆ’2q6โˆ’q7+O(q8)3q - 2q^{2} + 3q^{3} + 2q^{4} - 6q^{5} - 2q^{6} - q^{7} + O(q^{8})โˆ’1-1
591.2.a.d1313q+5q2+13q3+17q4+12q5+5q6โˆ’q7+O(q8)13q + 5q^{2} + 13q^{3} + 17q^{4} + 12q^{5} + 5q^{6} - q^{7} + O(q^{8})+1+1
591.2.a.e1414qโˆ’14q3+20q4+7q7+O(q8)14q - 14q^{3} + 20q^{4} + 7q^{7} + O(q^{8})+1+1
592.2.a.a1qโˆ’q3+q7+O(q8)q - q^{3} + q^{7} + O(q^{8})592e1 rank 1
592.2.a.b1q+q3โˆ’4q5+3q7+O(q8)q + q^{3} - 4q^{5} + 3q^{7} + O(q^{8})592d1 rank 1
592.2.a.c1q+q3โˆ’2q5โˆ’q7+O(q8)q + q^{3} - 2q^{5} - q^{7} + O(q^{8})592a1 rank 1
592.2.a.d1q+q3+3q7+O(q8)q + q^{3} + 3q^{7} + O(q^{8})592b1 rank 0
592.2.a.e1q+3q3โˆ’2q5+q7+O(q8)q + 3q^{3} - 2q^{5} + q^{7} + O(q^{8})592c1 rank 0
592.2.a.f22qโˆ’3q3โˆ’q5โˆ’2q7+O(q8)2q - 3q^{3} - q^{5} - 2q^{7} + O(q^{8})
592.2.a.g22q+q3+q5+2q7+O(q8)2q + q^{3} + q^{5} + 2q^{7} + O(q^{8})
592.2.a.h22q+q3+4q5โˆ’q7+O(q8)2q + q^{3} + 4q^{5} - q^{7} + O(q^{8})
592.2.a.i33qโˆ’2q3โˆ’q5โˆ’7q7+O(q8)3q - 2q^{3} - q^{5} - 7q^{7} + O(q^{8})
592.2.a.j44qโˆ’2q3+5q5+q7+O(q8)4q - 2q^{3} + 5q^{5} + q^{7} + O(q^{8})
593.2.a.a1qโˆ’q2โˆ’2q3โˆ’q4+2q5+2q6+2q7+O(q8)q - q^{2} - 2q^{3} - q^{4} + 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1593b1 rank 0
593.2.a.b1q+q2+q3โˆ’q4โˆ’2q5+q6โˆ’q7+O(q8)q + q^{2} + q^{3} - q^{4} - 2q^{5} + q^{6} - q^{7} + O(q^{8})โˆ’1-1593a1 rank 1
593.2.a.c22qโˆ’q2+6q3+3q4โˆ’q5โˆ’3q6+8q7+O(q8)2q - q^{2} + 6q^{3} + 3q^{4} - q^{5} - 3q^{6} + 8q^{7} + O(q^{8})+1+1
593.2.a.d1818qโˆ’6q2โˆ’9q3+10q4โˆ’q5โˆ’5q6โˆ’30q7+O(q8)18q - 6q^{2} - 9q^{3} + 10q^{4} - q^{5} - 5q^{6} - 30q^{7} + O(q^{8})โˆ’1-1
593.2.a.e2727q+6q2+4q3+36q4โˆ’q6+25q7+O(q8)27q + 6q^{2} + 4q^{3} + 36q^{4} - q^{6} + 25q^{7} + O(q^{8})+1+1
594.2.a.a1qโˆ’q2+q4โˆ’3q5โˆ’4q7+O(q8)q - q^{2} + q^{4} - 3q^{5} - 4q^{7} + O(q^{8})594c1 rank 0
594.2.a.b1qโˆ’q2+q4โˆ’2q5โˆ’q7+O(q8)q - q^{2} + q^{4} - 2q^{5} - q^{7} + O(q^{8})594d1 rank 1
594.2.a.c1qโˆ’q2+q4โˆ’2q5+q7+O(q8)q - q^{2} + q^{4} - 2q^{5} + q^{7} + O(q^{8})594a1 rank 1
594.2.a.d1qโˆ’q2+q4+q5+4q7+O(q8)q - q^{2} + q^{4} + q^{5} + 4q^{7} + O(q^{8})594b1 rank 0
594.2.a.e1q+q2+q4โˆ’q5+4q7+O(q8)q + q^{2} + q^{4} - q^{5} + 4q^{7} + O(q^{8})594f1 rank 0
594.2.a.f1q+q2+q4+2q5โˆ’q7+O(q8)q + q^{2} + q^{4} + 2q^{5} - q^{7} + O(q^{8})594e1 rank 0
594.2.a.g1q+q2+q4+2q5+q7+O(q8)q + q^{2} + q^{4} + 2q^{5} + q^{7} + O(q^{8})594g1 rank 0
594.2.a.h1q+q2+q4+3q5โˆ’4q7+O(q8)q + q^{2} + q^{4} + 3q^{5} - 4q^{7} + O(q^{8})594h1 rank 0
594.2.a.i22qโˆ’2q2+2q4โˆ’2q5+4q7+O(q8)2q - 2q^{2} + 2q^{4} - 2q^{5} + 4q^{7} + O(q^{8})
594.2.a.j22q+2q2+2q4+2q5+4q7+O(q8)2q + 2q^{2} + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})
595.2.a.a1qโˆ’2q2+2q3+2q4โˆ’q5โˆ’4q6โˆ’q7+O(q8)q - 2q^{2} + 2q^{3} + 2q^{4} - q^{5} - 4q^{6} - q^{7} + O(q^{8})+1+1595a1 rank 0
595.2.a.b1q+2q2+2q3+2q4โˆ’q5+4q6+q7+O(q8)q + 2q^{2} + 2q^{3} + 2q^{4} - q^{5} + 4q^{6} + q^{7} + O(q^{8})+1+1595b1 rank 0
595.2.a.c1q+2q2+2q3+2q4+q5+4q6+q7+O(q8)q + 2q^{2} + 2q^{3} + 2q^{4} + q^{5} + 4q^{6} + q^{7} + O(q^{8})+1+1595c1 rank 0
595.2.a.d33qโˆ’4q2โˆ’2q3+4q4+3q5+5q6+3q7+O(q8)3q - 4q^{2} - 2q^{3} + 4q^{4} + 3q^{5} + 5q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
595.2.a.e33qโˆ’2q2โˆ’4q3+3q5+5q6โˆ’3q7+O(q8)3q - 2q^{2} - 4q^{3} + 3q^{5} + 5q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
595.2.a.f33qโˆ’2q2โˆ’2q3+4q4โˆ’3q5โˆ’3q6+3q7+O(q8)3q - 2q^{2} - 2q^{3} + 4q^{4} - 3q^{5} - 3q^{6} + 3q^{7} + O(q^{8})โˆ’1-1
595.2.a.g33qโˆ’3q5โˆ’3q6โˆ’3q7+O(q8)3q - 3q^{5} - 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
595.2.a.h33q+2q2โˆ’3q5+7q6โˆ’3q7+O(q8)3q + 2q^{2} - 3q^{5} + 7q^{6} - 3q^{7} + O(q^{8})+1+1
595.2.a.i44q+q2โˆ’2q3+3q4+4q5โˆ’5q6+4q7+O(q8)4q + q^{2} - 2q^{3} + 3q^{4} + 4q^{5} - 5q^{6} + 4q^{7} + O(q^{8})+1+1
595.2.a.j44q+2q2+2q3+2q4+4q5+7q6โˆ’4q7+O(q8)4q + 2q^{2} + 2q^{3} + 2q^{4} + 4q^{5} + 7q^{6} - 4q^{7} + O(q^{8})+1+1
595.2.a.k55q+2q2โˆ’2q3+10q4โˆ’5q5โˆ’5q6+5q7+O(q8)5q + 2q^{2} - 2q^{3} + 10q^{4} - 5q^{5} - 5q^{6} + 5q^{7} + O(q^{8})+1+1
596.2.a.a33qโˆ’3q5โˆ’3q7+O(q8)3q - 3q^{5} - 3q^{7} + O(q^{8})
596.2.a.b1010q+5q5+5q7+O(q8)10q + 5q^{5} + 5q^{7} + O(q^{8})
597.2.a.a22q+2q2โˆ’2q3+2q4โˆ’2q6+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{6} + O(q^{8})+1+1
597.2.a.b33qโˆ’2q2+3q3โˆ’q5โˆ’2q6โˆ’5q7+O(q8)3q - 2q^{2} + 3q^{3} - q^{5} - 2q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
597.2.a.c33qโˆ’3q3+3q5+3q7+O(q8)3q - 3q^{3} + 3q^{5} + 3q^{7} + O(q^{8})+1+1
597.2.a.d1111qโˆ’5q2โˆ’11q3+11q4โˆ’5q5+5q6โˆ’5q7+O(q8)11q - 5q^{2} - 11q^{3} + 11q^{4} - 5q^{5} + 5q^{6} - 5q^{7} + O(q^{8})โˆ’1-1
597.2.a.e1414q+2q2+14q3+20q4+q5+2q6+11q7+O(q8)14q + 2q^{2} + 14q^{3} + 20q^{4} + q^{5} + 2q^{6} + 11q^{7} + O(q^{8})+1+1
598.2.a.a1qโˆ’q2โˆ’3q3+q4โˆ’3q5+3q6+3q7+O(q8)q - q^{2} - 3q^{3} + q^{4} - 3q^{5} + 3q^{6} + 3q^{7} + O(q^{8})โˆ’1-1598b1 rank 1
598.2.a.b1qโˆ’q2+q4+O(q8)q - q^{2} + q^{4} + O(q^{8})โˆ’1-1598a1 rank 1
598.2.a.c1q+q2โˆ’q3+q4โˆ’q5โˆ’q6โˆ’q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} - q^{7} + O(q^{8})โˆ’1-1598d1 rank 1
598.2.a.d1q+q2โˆ’q3+q4+3q5โˆ’q6+3q7+O(q8)q + q^{2} - q^{3} + q^{4} + 3q^{5} - q^{6} + 3q^{7} + O(q^{8})+1+1598c1 rank 0
598.2.a.e22qโˆ’2q2+2q4+2q5+4q7+O(q8)2q - 2q^{2} + 2q^{4} + 2q^{5} + 4q^{7} + O(q^{8})+1+1
598.2.a.f22qโˆ’2q2+q3+2q4+q5โˆ’q6โˆ’3q7+O(q8)2q - 2q^{2} + q^{3} + 2q^{4} + q^{5} - q^{6} - 3q^{7} + O(q^{8})+1+1
598.2.a.g22q+2q2โˆ’2q3+2q4โˆ’2q5โˆ’2q6โˆ’6q7+O(q8)2q + 2q^{2} - 2q^{3} + 2q^{4} - 2q^{5} - 2q^{6} - 6q^{7} + O(q^{8})โˆ’1-1
598.2.a.h22q+2q2+4q3+2q4+4q6+O(q8)2q + 2q^{2} + 4q^{3} + 2q^{4} + 4q^{6} + O(q^{8})+1+1
598.2.a.i44qโˆ’4q2+4q4โˆ’4q5โˆ’2q7+O(q8)4q - 4q^{2} + 4q^{4} - 4q^{5} - 2q^{7} + O(q^{8})โˆ’1-1
598.2.a.j55q+5q2+2q3+5q4โˆ’2q5+2q6+2q7+O(q8)5q + 5q^{2} + 2q^{3} + 5q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+1
599.2.a.a22q+q2โˆ’3q3โˆ’q4โˆ’2q5+q6+O(q8)2q + q^{2} - 3q^{3} - q^{4} - 2q^{5} + q^{6} + O(q^{8})โˆ’1-1
599.2.a.b1111qโˆ’3q2โˆ’q3+5q4โˆ’2q5โˆ’9q6โˆ’8q7+O(q8)11q - 3q^{2} - q^{3} + 5q^{4} - 2q^{5} - 9q^{6} - 8q^{7} + O(q^{8})โˆ’1-1
599.2.a.c3737q+q2+4q3+47q4+6q5+8q6+12q7+O(q8)37q + q^{2} + 4q^{3} + 47q^{4} + 6q^{5} + 8q^{6} + 12q^{7} + O(q^{8})+1+1
600.2.a.a1qโˆ’q3โˆ’4q7+O(q8)q - q^{3} - 4q^{7} + O(q^{8})600f1 rank 0
600.2.a.b1qโˆ’q3โˆ’3q7+O(q8)q - q^{3} - 3q^{7} + O(q^{8})600b1 rank 1
600.2.a.c1qโˆ’q3+O(q8)q - q^{3} + O(q^{8})600a1 rank 1
600.2.a.d1qโˆ’q3+2q7+O(q8)q - q^{3} + 2q^{7} + O(q^{8})600c1 rank 0
600.2.a.e1qโˆ’q3+5q7+O(q8)q - q^{3} + 5q^{7} + O(q^{8})600g1 rank 0
600.2.a.f1q+q3โˆ’5q7+O(q8)q + q^{3} - 5q^{7} + O(q^{8})600e1 rank 1
600.2.a.g1q+q3โˆ’2q7+O(q8)q + q^{3} - 2q^{7} + O(q^{8})600h1 rank 0
600.2.a.h1q+q3+O(q8)q + q^{3} + O(q^{8})600d1 rank 0
600.2.a.i1q+q3+3q7+O(q8)q + q^{3} + 3q^{7} + O(q^{8})600i1 rank 0
601.2.a.a2020qโˆ’5q2โˆ’7q3+11q4โˆ’12q5โˆ’8q6โˆ’11q7+O(q8)20q - 5q^{2} - 7q^{3} + 11q^{4} - 12q^{5} - 8q^{6} - 11q^{7} + O(q^{8})โˆ’1-1
601.2.a.b2929q+4q2+5q3+34q4+10q5โˆ’4q6+7q7+O(q8)29q + 4q^{2} + 5q^{3} + 34q^{4} + 10q^{5} - 4q^{6} + 7q^{7} + O(q^{8})+1+1
602.2.a.a1qโˆ’q2โˆ’q3+q4+2q5+q6โˆ’q7+O(q8)q - q^{2} - q^{3} + q^{4} + 2q^{5} + q^{6} - q^{7} + O(q^{8})+1+1602b1 rank 0
602.2.a.b1qโˆ’q2+q4โˆ’4q5โˆ’q7+O(q8)q - q^{2} + q^{4} - 4q^{5} - q^{7} + O(q^{8})+1+1602a1 rank 0
602.2.a.c1qโˆ’q2+3q3+q4+2q5โˆ’3q6โˆ’q7+O(q8)q - q^{2} + 3q^{3} + q^{4} + 2q^{5} - 3q^{6} - q^{7} + O(q^{8})+1+1602c1 rank 0
602.2.a.d22q+2q2โˆ’3q3+2q4โˆ’3q5โˆ’3q6โˆ’2q7+O(q8)2q + 2q^{2} - 3q^{3} + 2q^{4} - 3q^{5} - 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
602.2.a.e33qโˆ’3q2โˆ’3q3+3q4+q5+3q6โˆ’3q7+O(q8)3q - 3q^{2} - 3q^{3} + 3q^{4} + q^{5} + 3q^{6} - 3q^{7} + O(q^{8})โˆ’1-1
602.2.a.f33q+3q2+3q4+3q5+3q7+O(q8)3q + 3q^{2} + 3q^{4} + 3q^{5} + 3q^{7} + O(q^{8})+1+1
602.2.a.g33q+3q2+q3+3q4+q6+3q7+O(q8)3q + 3q^{2} + q^{3} + 3q^{4} + q^{6} + 3q^{7} + O(q^{8})+1+1
602.2.a.h33q+3q2+2q3+3q4+6q5+2q6โˆ’3q7+O(q8)3q + 3q^{2} + 2q^{3} + 3q^{4} + 6q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1
602.2.a.i44qโˆ’4q2+5q3+4q4โˆ’q5โˆ’5q6+4q7+O(q8)4q - 4q^{2} + 5q^{3} + 4q^{4} - q^{5} - 5q^{6} + 4q^{7} + O(q^{8})+1+1
603.2.a.a1qโˆ’2q2+2q4โˆ’2q5โˆ’2q7+O(q8)q - 2q^{2} + 2q^{4} - 2q^{5} - 2q^{7} + O(q^{8})603f1 rank 1
603.2.a.b1qโˆ’q2โˆ’q4+2q5+4q7+O(q8)q - q^{2} - q^{4} + 2q^{5} + 4q^{7} + O(q^{8})603b1 rank 0
603.2.a.c1qโˆ’q2โˆ’q4+3q5โˆ’3q7+O(q8)q - q^{2} - q^{4} + 3q^{5} - 3q^{7} + O(q^{8})603c1 rank 0
603.2.a.d1q+q2โˆ’q4โˆ’2q5+4q7+O(q8)q + q^{2} - q^{4} - 2q^{5} + 4q^{7} + O(q^{8})603a1 rank 0
603.2.a.e1q+q2โˆ’q4+q5โˆ’5q7+O(q8)q + q^{2} - q^{4} + q^{5} - 5q^{7} + O(q^{8})603e1 rank 1
603.2.a.f1q+2q2+2q4+O(q8)q + 2q^{2} + 2q^{4} + O(q^{8})603d1 rank 0
603.2.a.g22q+q2โˆ’q4โˆ’4q5+q7+O(q8)2q + q^{2} - q^{4} - 4q^{5} + q^{7} + O(q^{8})
603.2.a.h22q+3q2+3q4+6q5โˆ’q7+O(q8)2q + 3q^{2} + 3q^{4} + 6q^{5} - q^{7} + O(q^{8})
603.2.a.i33qโˆ’3q2+5q4โˆ’q5+q7+O(q8)3q - 3q^{2} + 5q^{4} - q^{5} + q^{7} + O(q^{8})
603.2.a.j44qโˆ’8q7+O(q8)4q - 8q^{7} + O(q^{8})
603.2.a.k55q+6q4+3q5+7q7+O(q8)5q + 6q^{4} + 3q^{5} + 7q^{7} + O(q^{8})
603.2.a.l66q+12q4+O(q8)6q + 12q^{4} + O(q^{8})
604.2.a.a33qโˆ’3q3โˆ’3q5โˆ’3q7+O(q8)3q - 3q^{3} - 3q^{5} - 3q^{7} + O(q^{8})
604.2.a.b33qโˆ’3q5+O(q8)3q - 3q^{5} + O(q^{8})
604.2.a.c66q+3q3+6q5+5q7+O(q8)6q + 3q^{3} + 6q^{5} + 5q^{7} + O(q^{8})
605.2.a.a1qโˆ’q2โˆ’3q3โˆ’q4+q5+3q6โˆ’3q7+O(q8)q - q^{2} - 3q^{3} - q^{4} + q^{5} + 3q^{6} - 3q^{7} + O(q^{8})605c1 rank 1
605.2.a.b1qโˆ’q2โˆ’q4+q5+O(q8)q - q^{2} - q^{4} + q^{5} + O(q^{8})605b1 rank 1
605.2.a.c1q+q2โˆ’3q3โˆ’q4+q5โˆ’3q6+3q7+O(q8)q + q^{2} - 3q^{3} - q^{4} + q^{5} - 3q^{6} + 3q^{7} + O(q^{8})605a1 rank 1
605.2.a.d22qโˆ’2q2+2q4โˆ’2q5+8q6+4q7+O(q8)2q - 2q^{2} + 2q^{4} - 2q^{5} + 8q^{6} + 4q^{7} + O(q^{8})

โ† previous ยท next โ†’