๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 45

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21 orbits; showing 1โ€“21 ยท JSON

LabelDimTrace formSignCMCurve
45.2.a.a1q+q2โˆ’q4โˆ’q5+O(q8)q + q^{2} - q^{4} - q^{5} + O(q^{8})45a1 rank 0
45.4.a.a1qโˆ’5q2+17q4+5q5โˆ’30q7+O(q8)q - 5q^{2} + 17q^{4} + 5q^{5} - 30q^{7} + O(q^{8})
45.4.a.b1qโˆ’3q2+q4+5q5+20q7+O(q8)q - 3q^{2} + q^{4} + 5q^{5} + 20q^{7} + O(q^{8})
45.4.a.c1qโˆ’q2โˆ’7q4โˆ’5q5โˆ’24q7+O(q8)q - q^{2} - 7q^{4} - 5q^{5} - 24q^{7} + O(q^{8})
45.4.a.d1q+4q2+8q4+5q5+6q7+O(q8)q + 4q^{2} + 8q^{4} + 5q^{5} + 6q^{7} + O(q^{8})
45.4.a.e1q+5q2+17q4โˆ’5q5โˆ’30q7+O(q8)q + 5q^{2} + 17q^{4} - 5q^{5} - 30q^{7} + O(q^{8})
45.6.a.a1qโˆ’7q2+17q4+25q5+12q7+O(q8)q - 7q^{2} + 17q^{4} + 25q^{5} + 12q^{7} + O(q^{8})
45.6.a.b1qโˆ’2q2โˆ’28q4โˆ’25q5+192q7+O(q8)q - 2q^{2} - 28q^{4} - 25q^{5} + 192q^{7} + O(q^{8})
45.6.a.c1q+2q2โˆ’28q4+25q5โˆ’132q7+O(q8)q + 2q^{2} - 28q^{4} + 25q^{5} - 132q^{7} + O(q^{8})
45.6.a.d22qโˆ’5q2+21q4โˆ’50q5+80q7+O(q8)2q - 5q^{2} + 21q^{4} - 50q^{5} + 80q^{7} + O(q^{8})
45.6.a.e22q+q2+141q4โˆ’50q5โˆ’112q7+O(q8)2q + q^{2} + 141q^{4} - 50q^{5} - 112q^{7} + O(q^{8})
45.6.a.f22q+5q2+21q4+50q5+80q7+O(q8)2q + 5q^{2} + 21q^{4} + 50q^{5} + 80q^{7} + O(q^{8})
45.8.a.a1qโˆ’10q2โˆ’28q4โˆ’125q5โˆ’1170q7+O(q8)q - 10q^{2} - 28q^{4} - 125q^{5} - 1170q^{7} + O(q^{8})
45.8.a.b1qโˆ’5q2โˆ’103q4+125q5+930q7+O(q8)q - 5q^{2} - 103q^{4} + 125q^{5} + 930q^{7} + O(q^{8})
45.8.a.c1q+5q2โˆ’103q4โˆ’125q5+930q7+O(q8)q + 5q^{2} - 103q^{4} - 125q^{5} + 930q^{7} + O(q^{8})
45.8.a.d1q+10q2โˆ’28q4+125q5โˆ’1170q7+O(q8)q + 10q^{2} - 28q^{4} + 125q^{5} - 1170q^{7} + O(q^{8})
45.8.a.e1q+13q2+41q4+125q5+1380q7+O(q8)q + 13q^{2} + 41q^{4} + 125q^{5} + 1380q^{7} + O(q^{8})
45.8.a.f1q+14q2+68q4โˆ’125q5โˆ’1644q7+O(q8)q + 14q^{2} + 68q^{4} - 125q^{5} - 1644q^{7} + O(q^{8})
45.8.a.g1q+22q2+356q4+125q5โˆ’420q7+O(q8)q + 22q^{2} + 356q^{4} + 125q^{5} - 420q^{7} + O(q^{8})
45.8.a.h22qโˆ’20q2+96q4+250q5โˆ’100q7+O(q8)2q - 20q^{2} + 96q^{4} + 250q^{5} - 100q^{7} + O(q^{8})
45.8.a.i22qโˆ’7q2+69q4โˆ’250q5+1304q7+O(q8)2q - 7q^{2} + 69q^{4} - 250q^{5} + 1304q^{7} + O(q^{8})