๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 115

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9 orbits; showing 1โ€“9 ยท JSON

LabelDimTrace formSignCMCurve
115.2.a.a1q+2q2+2q4โˆ’q5+q7+O(q8)q + 2q^{2} + 2q^{4} - q^{5} + q^{7} + O(q^{8})+1+1115a1 rank 0
115.2.a.b22qโˆ’3q2โˆ’2q3+3q4โˆ’2q5+3q6โˆ’2q7+O(q8)2q - 3q^{2} - 2q^{3} + 3q^{4} - 2q^{5} + 3q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
115.2.a.c44q+2q2โˆ’2q3+4q4+4q5โˆ’q6โˆ’3q7+O(q8)4q + 2q^{2} - 2q^{3} + 4q^{4} + 4q^{5} - q^{6} - 3q^{7} + O(q^{8})+1+1
115.4.a.a1q+q2+4q3โˆ’7q4โˆ’5q5+4q6โˆ’32q7+O(q8)q + q^{2} + 4q^{3} - 7q^{4} - 5q^{5} + 4q^{6} - 32q^{7} + O(q^{8})โˆ’1-1
115.4.a.b1q+2q2โˆ’3q3โˆ’4q4+5q5โˆ’6q6โˆ’2q7+O(q8)q + 2q^{2} - 3q^{3} - 4q^{4} + 5q^{5} - 6q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
115.4.a.c22qโˆ’6q2โˆ’3q3+2q4+10q5+9q6+q7+O(q8)2q - 6q^{2} - 3q^{3} + 2q^{4} + 10q^{5} + 9q^{6} + q^{7} + O(q^{8})โˆ’1-1
115.4.a.d55qโˆ’5q2โˆ’6q3+33q4โˆ’25q5โˆ’36q6โˆ’15q7+O(q8)5q - 5q^{2} - 6q^{3} + 33q^{4} - 25q^{5} - 36q^{6} - 15q^{7} + O(q^{8})โˆ’1-1
115.4.a.e55q+6q2+4q3+22q4โˆ’25q5+19q6โˆ’3q7+O(q8)5q + 6q^{2} + 4q^{3} + 22q^{4} - 25q^{5} + 19q^{6} - 3q^{7} + O(q^{8})+1+1
115.4.a.f88q+6q2+42q4+40q5+11q7+O(q8)8q + 6q^{2} + 42q^{4} + 40q^{5} + 11q^{7} + O(q^{8})+1+1