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Atlas โ€บ Modular forms โ€บ Level 33

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19 orbits; showing 1โ€“19 ยท JSON

LabelDimTrace formSignCMCurve
33.2.a.a1q+q2โˆ’q3โˆ’q4โˆ’2q5โˆ’q6+4q7+O(q8)q + q^{2} - q^{3} - q^{4} - 2q^{5} - q^{6} + 4q^{7} + O(q^{8})+1+133a1 rank 0
33.4.a.a1qโˆ’5q2+3q3+17q4โˆ’14q5โˆ’15q6โˆ’32q7+O(q8)q - 5q^{2} + 3q^{3} + 17q^{4} - 14q^{5} - 15q^{6} - 32q^{7} + O(q^{8})โˆ’1-1
33.4.a.b1qโˆ’q2โˆ’3q3โˆ’7q4โˆ’4q5+3q6โˆ’26q7+O(q8)q - q^{2} - 3q^{3} - 7q^{4} - 4q^{5} + 3q^{6} - 26q^{7} + O(q^{8})โˆ’1-1
33.4.a.c22q+q2โˆ’6q3+33q4โˆ’14q5โˆ’3q6+24q7+O(q8)2q + q^{2} - 6q^{3} + 33q^{4} - 14q^{5} - 3q^{6} + 24q^{7} + O(q^{8})+1+1
33.4.a.d22q+q2+6q3+q4+16q5+3q6+2q7+O(q8)2q + q^{2} + 6q^{3} + q^{4} + 16q^{5} + 3q^{6} + 2q^{7} + O(q^{8})+1+1
33.6.a.a1qโˆ’2q2โˆ’9q3โˆ’28q4+46q5+18q6+148q7+O(q8)q - 2q^{2} - 9q^{3} - 28q^{4} + 46q^{5} + 18q^{6} + 148q^{7} + O(q^{8})+1+1
33.6.a.b1q+q2+9q3โˆ’31q4โˆ’92q5+9q6โˆ’26q7+O(q8)q + q^{2} + 9q^{3} - 31q^{4} - 92q^{5} + 9q^{6} - 26q^{7} + O(q^{8})โˆ’1-1
33.6.a.c22qโˆ’5q2โˆ’18q3+37q4+58q5+45q6โˆ’286q7+O(q8)2q - 5q^{2} - 18q^{3} + 37q^{4} + 58q^{5} + 45q^{6} - 286q^{7} + O(q^{8})โˆ’1-1
33.6.a.d22q+q2โˆ’18q3+93q4โˆ’38q5โˆ’9q6โˆ’18q7+O(q8)2q + q^{2} - 18q^{3} + 93q^{4} - 38q^{5} - 9q^{6} - 18q^{7} + O(q^{8})+1+1
33.6.a.e22q+13q2+18q3+37q4+58q5+117q6+146q7+O(q8)2q + 13q^{2} + 18q^{3} + 37q^{4} + 58q^{5} + 117q^{6} + 146q^{7} + O(q^{8})+1+1
33.8.a.a1q+10q2+27q3โˆ’28q4โˆ’410q5+270q6โˆ’1028q7+O(q8)q + 10q^{2} + 27q^{3} - 28q^{4} - 410q^{5} + 270q^{6} - 1028q^{7} + O(q^{8})โˆ’1-1
33.8.a.b22qโˆ’19q2+54q3+13q4โˆ’34q5โˆ’513q6โˆ’166q7+O(q8)2q - 19q^{2} + 54q^{3} + 13q^{4} - 34q^{5} - 513q^{6} - 166q^{7} + O(q^{8})โˆ’1-1
33.8.a.c22q+q2โˆ’54q3+181q4โˆ’194q5โˆ’27q6โˆ’418q7+O(q8)2q + q^{2} - 54q^{3} + 181q^{4} - 194q^{5} - 27q^{6} - 418q^{7} + O(q^{8})โˆ’1-1
33.8.a.d33q+9q2โˆ’81q3โˆ’15q4โˆ’444q5โˆ’243q6+1614q7+O(q8)3q + 9q^{2} - 81q^{3} - 15q^{4} - 444q^{5} - 243q^{6} + 1614q^{7} + O(q^{8})+1+1
33.8.a.e44q+15q2+108q3+565q4+306q5+405q6+890q7+O(q8)4q + 15q^{2} + 108q^{3} + 565q^{4} + 306q^{5} + 405q^{6} + 890q^{7} + O(q^{8})+1+1
33.10.a.a33qโˆ’51q2+243q3+1425q4โˆ’1362q5โˆ’4131q6โˆ’15090q7+O(q8)3q - 51q^{2} + 243q^{3} + 1425q^{4} - 1362q^{5} - 4131q^{6} - 15090q^{7} + O(q^{8})โˆ’1-1
33.10.a.b33q+3q2โˆ’243q3โˆ’315q4+2388q5โˆ’243q6โˆ’228q7+O(q8)3q + 3q^{2} - 243q^{3} - 315q^{4} + 2388q^{5} - 243q^{6} - 228q^{7} + O(q^{8})โˆ’1-1
33.10.a.c44qโˆ’3q2+324q3+709q4+2388q5โˆ’243q6+5372q7+O(q8)4q - 3q^{2} + 324q^{3} + 709q^{4} + 2388q^{5} - 243q^{6} + 5372q^{7} + O(q^{8})+1+1
33.10.a.d44q+19q2โˆ’324q3+1937q4+1138q5โˆ’1539q6+8122q7+O(q8)4q + 19q^{2} - 324q^{3} + 1937q^{4} + 1138q^{5} - 1539q^{6} + 8122q^{7} + O(q^{8})+1+1