๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 82

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11 orbits; showing 1โ€“11 ยท JSON

LabelDimTrace formSignCMCurve
82.2.a.a1qโˆ’q2โˆ’2q3+q4โˆ’2q5+2q6โˆ’4q7+O(q8)q - q^{2} - 2q^{3} + q^{4} - 2q^{5} + 2q^{6} - 4q^{7} + O(q^{8})โˆ’1-182a1 rank 1
82.2.a.b22q+2q2+2q4โˆ’4q7+O(q8)2q + 2q^{2} + 2q^{4} - 4q^{7} + O(q^{8})+1+1
82.4.a.a1q+2q2โˆ’4q3+4q4โˆ’18q5โˆ’8q6โˆ’2q7+O(q8)q + 2q^{2} - 4q^{3} + 4q^{4} - 18q^{5} - 8q^{6} - 2q^{7} + O(q^{8})โˆ’1-1
82.4.a.b1q+2q2+10q3+4q4โˆ’6q5+20q6โˆ’10q7+O(q8)q + 2q^{2} + 10q^{3} + 4q^{4} - 6q^{5} + 20q^{6} - 10q^{7} + O(q^{8})+1+1
82.4.a.c22qโˆ’4q2+2q3+8q4+8q5โˆ’4q6+2q7+O(q8)2q - 4q^{2} + 2q^{3} + 8q^{4} + 8q^{5} - 4q^{6} + 2q^{7} + O(q^{8})+1+1
82.4.a.d33qโˆ’6q2โˆ’4q3+12q4โˆ’2q5+8q6โˆ’26q7+O(q8)3q - 6q^{2} - 4q^{3} + 12q^{4} - 2q^{5} + 8q^{6} - 26q^{7} + O(q^{8})โˆ’1-1
82.4.a.e33q+6q2โˆ’2q3+12q4+18q5โˆ’4q6+36q7+O(q8)3q + 6q^{2} - 2q^{3} + 12q^{4} + 18q^{5} - 4q^{6} + 36q^{7} + O(q^{8})+1+1
82.6.a.a33q+12q2โˆ’28q3+48q4โˆ’26q5โˆ’112q6โˆ’158q7+O(q8)3q + 12q^{2} - 28q^{3} + 48q^{4} - 26q^{5} - 112q^{6} - 158q^{7} + O(q^{8})โˆ’1-1
82.6.a.b44qโˆ’16q2+8q3+64q4+12q5โˆ’32q6+158q7+O(q8)4q - 16q^{2} + 8q^{3} + 64q^{4} + 12q^{5} - 32q^{6} + 158q^{7} + O(q^{8})+1+1
82.6.a.c55qโˆ’20q2โˆ’10q3+80q4โˆ’38q5+40q6โˆ’38q7+O(q8)5q - 20q^{2} - 10q^{3} + 80q^{4} - 38q^{5} + 40q^{6} - 38q^{7} + O(q^{8})โˆ’1-1
82.6.a.d66q+24q2+8q3+96q4+124q5+32q6+38q7+O(q8)6q + 24q^{2} + 8q^{3} + 96q^{4} + 124q^{5} + 32q^{6} + 38q^{7} + O(q^{8})+1+1