๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 675

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17 orbits; showing 1โ€“17 ยท JSON

LabelDimTrace formSignCMCurve
675.2.a.a1qโˆ’2q2+2q4+3q7+O(q8)q - 2q^{2} + 2q^{4} + 3q^{7} + O(q^{8})675h1 rank 0
675.2.a.b1qโˆ’q2โˆ’q4+O(q8)q - q^{2} - q^{4} + O(q^{8})675b1 rank 1
675.2.a.c1qโˆ’q2โˆ’q4+O(q8)q - q^{2} - q^{4} + O(q^{8})675d1 rank 0
675.2.a.d1qโˆ’2q4โˆ’4q7+O(q8)q - 2q^{4} - 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})675c1 rank 0
675.2.a.e1qโˆ’2q4+q7+O(q8)q - 2q^{4} + q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})675a1 rank 1
675.2.a.f1qโˆ’2q4+4q7+O(q8)q - 2q^{4} + 4q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})675e1 rank 0
675.2.a.g1q+q2โˆ’q4+O(q8)q + q^{2} - q^{4} + O(q^{8})675i1 rank 1
675.2.a.h1q+q2โˆ’q4+O(q8)q + q^{2} - q^{4} + O(q^{8})675f1 rank 0
675.2.a.i1q+2q2+2q4+3q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{7} + O(q^{8})675g1 rank 0
675.2.a.j22qโˆ’3q2+3q4+O(q8)2q - 3q^{2} + 3q^{4} + O(q^{8})Q(โˆ’15)\mathbb{Q}(\sqrt{-15})
675.2.a.k22qโˆ’q2+3q4โˆ’2q7+O(q8)2q - q^{2} + 3q^{4} - 2q^{7} + O(q^{8})
675.2.a.l22qโˆ’6q7+O(q8)2q - 6q^{7} + O(q^{8})
675.2.a.m22q+6q7+O(q8)2q + 6q^{7} + O(q^{8})
675.2.a.n22q+10q4โˆ’6q7+O(q8)2q + 10q^{4} - 6q^{7} + O(q^{8})
675.2.a.o22q+10q4+6q7+O(q8)2q + 10q^{4} + 6q^{7} + O(q^{8})
675.2.a.p22q+q2+3q4โˆ’2q7+O(q8)2q + q^{2} + 3q^{4} - 2q^{7} + O(q^{8})
675.2.a.q22q+3q2+3q4+O(q8)2q + 3q^{2} + 3q^{4} + O(q^{8})Q(โˆ’15)\mathbb{Q}(\sqrt{-15})