๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 61

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8 orbits; showing 1โ€“8 ยท JSON

LabelDimTrace formSignCMCurve
61.2.a.a1qโˆ’q2โˆ’2q3โˆ’q4โˆ’3q5+2q6+q7+O(q8)q - q^{2} - 2q^{3} - q^{4} - 3q^{5} + 2q^{6} + q^{7} + O(q^{8})โˆ’1-161a1 rank 1
61.2.a.b33q+q2+2q3+q4โˆ’q5โˆ’4q6โˆ’3q7+O(q8)3q + q^{2} + 2q^{3} + q^{4} - q^{5} - 4q^{6} - 3q^{7} + O(q^{8})+1+1
61.4.a.a66qโˆ’7q2โˆ’13q3+17q4โˆ’16q5โˆ’29q6โˆ’27q7+O(q8)6q - 7q^{2} - 13q^{3} + 17q^{4} - 16q^{5} - 29q^{6} - 27q^{7} + O(q^{8})โˆ’1-1
61.4.a.b99q+3q2+11q3+53q4+24q5+7q6+q7+O(q8)9q + 3q^{2} + 11q^{3} + 53q^{4} + 24q^{5} + 7q^{6} + q^{7} + O(q^{8})+1+1
61.6.a.a1111qโˆ’9q2โˆ’46q3+117q4โˆ’129q5โˆ’11q6โˆ’87q7+O(q8)11q - 9q^{2} - 46q^{3} + 117q^{4} - 129q^{5} - 11q^{6} - 87q^{7} + O(q^{8})โˆ’1-1
61.6.a.b1414q+11q2+26q3+261q4+71q5+205q6+109q7+O(q8)14q + 11q^{2} + 26q^{3} + 261q^{4} + 71q^{5} + 205q^{6} + 109q^{7} + O(q^{8})+1+1
61.8.a.a1616qโˆ’17q2โˆ’82q3+741q4โˆ’571q5โˆ’1295q6โˆ’355q7+O(q8)16q - 17q^{2} - 82q^{3} + 741q^{4} - 571q^{5} - 1295q^{6} - 355q^{7} + O(q^{8})โˆ’1-1
61.8.a.b1919q+23q2+134q3+1317q4+429q5+q6+1017q7+O(q8)19q + 23q^{2} + 134q^{3} + 1317q^{4} + 429q^{5} + q^{6} + 1017q^{7} + O(q^{8})+1+1