๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 89

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9 orbits; showing 1โ€“9 ยท JSON

LabelDimTrace formSignCMCurve
89.2.a.a1qโˆ’q2โˆ’q3โˆ’q4โˆ’q5+q6โˆ’4q7+O(q8)q - q^{2} - q^{3} - q^{4} - q^{5} + q^{6} - 4q^{7} + O(q^{8})โˆ’1-189a1 rank 1
89.2.a.b1q+q2+2q3โˆ’q4โˆ’2q5+2q6+2q7+O(q8)q + q^{2} + 2q^{3} - q^{4} - 2q^{5} + 2q^{6} + 2q^{7} + O(q^{8})+1+189b1 rank 0
89.2.a.c55qโˆ’q2โˆ’3q3+11q4โˆ’q5โˆ’3q6+8q7+O(q8)5q - q^{2} - 3q^{3} + 11q^{4} - q^{5} - 3q^{6} + 8q^{7} + O(q^{8})+1+1
89.4.a.a1qโˆ’4q2โˆ’7q3+8q4+11q5+28q6+8q7+O(q8)q - 4q^{2} - 7q^{3} + 8q^{4} + 11q^{5} + 28q^{6} + 8q^{7} + O(q^{8})โˆ’1-1
89.4.a.b1qโˆ’q2+2q3โˆ’7q4+2q5โˆ’2q6โˆ’4q7+O(q8)q - q^{2} + 2q^{3} - 7q^{4} + 2q^{5} - 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
89.4.a.c66qโˆ’q3+6q4โˆ’27q5โˆ’71q6โˆ’82q7+O(q8)6q - q^{3} + 6q^{4} - 27q^{5} - 71q^{6} - 82q^{7} + O(q^{8})โˆ’1-1
89.4.a.d1414q+3q2+6q3+79q4+6q5+15q6+76q7+O(q8)14q + 3q^{2} + 6q^{3} + 79q^{4} + 6q^{5} + 15q^{6} + 76q^{7} + O(q^{8})+1+1
89.6.a.a1515qโˆ’9q2โˆ’9q3+127q4โˆ’39q5โˆ’177q6โˆ’540q7+O(q8)15q - 9q^{2} - 9q^{3} + 127q^{4} - 39q^{5} - 177q^{6} - 540q^{7} + O(q^{8})โˆ’1-1
89.6.a.b2121q+7q2+27q3+415q4+61q5+183q6+538q7+O(q8)21q + 7q^{2} + 27q^{3} + 415q^{4} + 61q^{5} + 183q^{6} + 538q^{7} + O(q^{8})+1+1