๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 50

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24 orbits; showing 1โ€“24 ยท JSON

LabelDimTrace formSignCMCurve
50.2.a.a1qโˆ’q2+q3+q4โˆ’q6+2q7+O(q8)q - q^{2} + q^{3} + q^{4} - q^{6} + 2q^{7} + O(q^{8})50a1 rank 0
50.2.a.b1q+q2โˆ’q3+q4โˆ’q6โˆ’2q7+O(q8)q + q^{2} - q^{3} + q^{4} - q^{6} - 2q^{7} + O(q^{8})50b1 rank 0
50.4.a.a1qโˆ’2q2โˆ’7q3+4q4+14q6+34q7+O(q8)q - 2q^{2} - 7q^{3} + 4q^{4} + 14q^{6} + 34q^{7} + O(q^{8})
50.4.a.b1qโˆ’2q2โˆ’2q3+4q4+4q6โˆ’26q7+O(q8)q - 2q^{2} - 2q^{3} + 4q^{4} + 4q^{6} - 26q^{7} + O(q^{8})
50.4.a.c1qโˆ’2q2+8q3+4q4โˆ’16q6+4q7+O(q8)q - 2q^{2} + 8q^{3} + 4q^{4} - 16q^{6} + 4q^{7} + O(q^{8})
50.4.a.d1q+2q2+2q3+4q4+4q6+26q7+O(q8)q + 2q^{2} + 2q^{3} + 4q^{4} + 4q^{6} + 26q^{7} + O(q^{8})
50.4.a.e1q+2q2+7q3+4q4+14q6โˆ’34q7+O(q8)q + 2q^{2} + 7q^{3} + 4q^{4} + 14q^{6} - 34q^{7} + O(q^{8})
50.6.a.a1qโˆ’4q2โˆ’11q3+16q4+44q6โˆ’142q7+O(q8)q - 4q^{2} - 11q^{3} + 16q^{4} + 44q^{6} - 142q^{7} + O(q^{8})
50.6.a.b1qโˆ’4q2โˆ’6q3+16q4+24q6+118q7+O(q8)q - 4q^{2} - 6q^{3} + 16q^{4} + 24q^{6} + 118q^{7} + O(q^{8})
50.6.a.c1qโˆ’4q2+14q3+16q4โˆ’56q6+158q7+O(q8)q - 4q^{2} + 14q^{3} + 16q^{4} - 56q^{6} + 158q^{7} + O(q^{8})
50.6.a.d1q+4q2โˆ’24q3+16q4โˆ’96q6+172q7+O(q8)q + 4q^{2} - 24q^{3} + 16q^{4} - 96q^{6} + 172q^{7} + O(q^{8})
50.6.a.e1q+4q2โˆ’14q3+16q4โˆ’56q6โˆ’158q7+O(q8)q + 4q^{2} - 14q^{3} + 16q^{4} - 56q^{6} - 158q^{7} + O(q^{8})
50.6.a.f1q+4q2+11q3+16q4+44q6+142q7+O(q8)q + 4q^{2} + 11q^{3} + 16q^{4} + 44q^{6} + 142q^{7} + O(q^{8})
50.6.a.g1q+4q2+26q3+16q4+104q6+22q7+O(q8)q + 4q^{2} + 26q^{3} + 16q^{4} + 104q^{6} + 22q^{7} + O(q^{8})
50.8.a.a1qโˆ’8q2โˆ’43q3+64q4+344q6โˆ’974q7+O(q8)q - 8q^{2} - 43q^{3} + 64q^{4} + 344q^{6} - 974q^{7} + O(q^{8})
50.8.a.b1qโˆ’8q2โˆ’28q3+64q4+224q6โˆ’104q7+O(q8)q - 8q^{2} - 28q^{3} + 64q^{4} + 224q^{6} - 104q^{7} + O(q^{8})
50.8.a.c1qโˆ’8q2+57q3+64q4โˆ’456q6โˆ’1174q7+O(q8)q - 8q^{2} + 57q^{3} + 64q^{4} - 456q^{6} - 1174q^{7} + O(q^{8})
50.8.a.d1qโˆ’8q2+87q3+64q4โˆ’696q6+1366q7+O(q8)q - 8q^{2} + 87q^{3} + 64q^{4} - 696q^{6} + 1366q^{7} + O(q^{8})
50.8.a.e1q+8q2โˆ’87q3+64q4โˆ’696q6โˆ’1366q7+O(q8)q + 8q^{2} - 87q^{3} + 64q^{4} - 696q^{6} - 1366q^{7} + O(q^{8})
50.8.a.f1q+8q2โˆ’57q3+64q4โˆ’456q6+1174q7+O(q8)q + 8q^{2} - 57q^{3} + 64q^{4} - 456q^{6} + 1174q^{7} + O(q^{8})
50.8.a.g1q+8q2โˆ’12q3+64q4โˆ’96q6โˆ’1016q7+O(q8)q + 8q^{2} - 12q^{3} + 64q^{4} - 96q^{6} - 1016q^{7} + O(q^{8})
50.8.a.h1q+8q2+43q3+64q4+344q6+974q7+O(q8)q + 8q^{2} + 43q^{3} + 64q^{4} + 344q^{6} + 974q^{7} + O(q^{8})
50.8.a.i22qโˆ’16q2โˆ’56q3+128q4+448q6โˆ’408q7+O(q8)2q - 16q^{2} - 56q^{3} + 128q^{4} + 448q^{6} - 408q^{7} + O(q^{8})
50.8.a.j22q+16q2+56q3+128q4+448q6+408q7+O(q8)2q + 16q^{2} + 56q^{3} + 128q^{4} + 448q^{6} + 408q^{7} + O(q^{8})