๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 249

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9 orbits; showing 1โ€“9 ยท JSON

LabelDimTrace formSignCMCurve
249.2.a.a1qโˆ’q2โˆ’q3โˆ’q4+q5+q6+O(q8)q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + O(q^{8})โˆ’1-1249a1 rank 1
249.2.a.b1q+q2โˆ’q3โˆ’q4โˆ’q5โˆ’q6โˆ’4q7+O(q8)q + q^{2} - q^{3} - q^{4} - q^{5} - q^{6} - 4q^{7} + O(q^{8})โˆ’1-1249b1 rank 1
249.2.a.c22qโˆ’2q2+2q3+2q4โˆ’6q5โˆ’2q6โˆ’4q7+O(q8)2q - 2q^{2} + 2q^{3} + 2q^{4} - 6q^{5} - 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-1
249.2.a.d44q+2q2+4q3+4q4+6q5+2q6+O(q8)4q + 2q^{2} + 4q^{3} + 4q^{4} + 6q^{5} + 2q^{6} + O(q^{8})+1+1
249.2.a.e55qโˆ’3q2โˆ’5q3+7q4โˆ’2q5+3q6+8q7+O(q8)5q - 3q^{2} - 5q^{3} + 7q^{4} - 2q^{5} + 3q^{6} + 8q^{7} + O(q^{8})+1+1
249.4.a.a99qโˆ’7q2+27q3+19q4โˆ’47q5โˆ’21q6โˆ’43q7+O(q8)9q - 7q^{2} + 27q^{3} + 19q^{4} - 47q^{5} - 21q^{6} - 43q^{7} + O(q^{8})โˆ’1-1
249.4.a.b99q+3q2โˆ’27q3+23q4โˆ’q5โˆ’9q6โˆ’43q7+O(q8)9q + 3q^{2} - 27q^{3} + 23q^{4} - q^{5} - 9q^{6} - 43q^{7} + O(q^{8})โˆ’1-1
249.4.a.c1212qโˆ’3q2โˆ’36q3+59q4โˆ’11q5+9q6+41q7+O(q8)12q - 3q^{2} - 36q^{3} + 59q^{4} - 11q^{5} + 9q^{6} + 41q^{7} + O(q^{8})+1+1
249.4.a.d1212q+7q2+36q3+55q4+43q5+21q6+41q7+O(q8)12q + 7q^{2} + 36q^{3} + 55q^{4} + 43q^{5} + 21q^{6} + 41q^{7} + O(q^{8})+1+1