๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 231

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17 orbits; showing 1โ€“17 ยท JSON

LabelDimTrace formSignCMCurve
231.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’2q5+q6+q7+O(q8)q - q^{2} - q^{3} - q^{4} - 2q^{5} + q^{6} + q^{7} + O(q^{8})+1+1231a1 rank 0
231.2.a.b22qโˆ’q2โˆ’2q3+7q4+6q5+q6+2q7+O(q8)2q - q^{2} - 2q^{3} + 7q^{4} + 6q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
231.2.a.c22q+q2+2q3โˆ’q4+2q5+q6+2q7+O(q8)2q + q^{2} + 2q^{3} - q^{4} + 2q^{5} + q^{6} + 2q^{7} + O(q^{8})+1+1
231.2.a.d33qโˆ’3q3+6q4โˆ’3q7+O(q8)3q - 3q^{3} + 6q^{4} - 3q^{7} + O(q^{8})+1+1
231.2.a.e33q+2q2+3q3+6q4+4q5+2q6โˆ’3q7+O(q8)3q + 2q^{2} + 3q^{3} + 6q^{4} + 4q^{5} + 2q^{6} - 3q^{7} + O(q^{8})+1+1
231.4.a.a1qโˆ’3q2โˆ’3q3+q4โˆ’4q5+9q6โˆ’7q7+O(q8)q - 3q^{2} - 3q^{3} + q^{4} - 4q^{5} + 9q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
231.4.a.b1qโˆ’2q2+3q3โˆ’4q4+q5โˆ’6q6โˆ’7q7+O(q8)q - 2q^{2} + 3q^{3} - 4q^{4} + q^{5} - 6q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
231.4.a.c1q+2q2โˆ’3q3โˆ’4q4+11q5โˆ’6q6โˆ’7q7+O(q8)q + 2q^{2} - 3q^{3} - 4q^{4} + 11q^{5} - 6q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
231.4.a.d1q+3q2+3q3+q4โˆ’14q5+9q6โˆ’7q7+O(q8)q + 3q^{2} + 3q^{3} + q^{4} - 14q^{5} + 9q^{6} - 7q^{7} + O(q^{8})โˆ’1-1
231.4.a.e1q+5q2+3q3+17q4โˆ’6q5+15q6+7q7+O(q8)q + 5q^{2} + 3q^{3} + 17q^{4} - 6q^{5} + 15q^{6} + 7q^{7} + O(q^{8})+1+1
231.4.a.f22qโˆ’3q2+6q3โˆ’3q4โˆ’19q5โˆ’9q6+14q7+O(q8)2q - 3q^{2} + 6q^{3} - 3q^{4} - 19q^{5} - 9q^{6} + 14q^{7} + O(q^{8})โˆ’1-1
231.4.a.g22qโˆ’3q2+6q3โˆ’3q4+25q5โˆ’9q6+14q7+O(q8)2q - 3q^{2} + 6q^{3} - 3q^{4} + 25q^{5} - 9q^{6} + 14q^{7} + O(q^{8})+1+1
231.4.a.h22q+3q2โˆ’6q3โˆ’3q4+q5โˆ’9q6+14q7+O(q8)2q + 3q^{2} - 6q^{3} - 3q^{4} + q^{5} - 9q^{6} + 14q^{7} + O(q^{8})โˆ’1-1
231.4.a.i22q+3q2+6q3+7q4+2q5+9q6+14q7+O(q8)2q + 3q^{2} + 6q^{3} + 7q^{4} + 2q^{5} + 9q^{6} + 14q^{7} + O(q^{8})+1+1
231.4.a.j55qโˆ’q2โˆ’15q3+21q4+7q5+3q6โˆ’35q7+O(q8)5q - q^{2} - 15q^{3} + 21q^{4} + 7q^{5} + 3q^{6} - 35q^{7} + O(q^{8})+1+1
231.4.a.k55qโˆ’q2โˆ’15q3+21q4+21q5+3q6+35q7+O(q8)5q - q^{2} - 15q^{3} + 21q^{4} + 21q^{5} + 3q^{6} + 35q^{7} + O(q^{8})+1+1
231.4.a.l55q+5q2+15q3+21q4+7q5+15q6โˆ’35q7+O(q8)5q + 5q^{2} + 15q^{3} + 21q^{4} + 7q^{5} + 15q^{6} - 35q^{7} + O(q^{8})+1+1