๐ŸŒฟ Sagebrush Atlas
Atlas โ€บ Modular forms โ€บ Level 225

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21 orbits; showing 1โ€“21 ยท JSON

LabelDimTrace formSignCMCurve
225.2.a.a1qโˆ’2q2+2q4โˆ’3q7+O(q8)q - 2q^{2} + 2q^{4} - 3q^{7} + O(q^{8})225e1 rank 1
225.2.a.b1qโˆ’q2โˆ’q4+O(q8)q - q^{2} - q^{4} + O(q^{8})225c1 rank 0
225.2.a.c1qโˆ’2q4โˆ’5q7+O(q8)q - 2q^{4} - 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})225a1 rank 1
225.2.a.d1qโˆ’2q4+5q7+O(q8)q - 2q^{4} + 5q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})225b1 rank 0
225.2.a.e1q+2q2+2q4+3q7+O(q8)q + 2q^{2} + 2q^{4} + 3q^{7} + O(q^{8})225d1 rank 0
225.2.a.f22q+6q4+O(q8)2q + 6q^{4} + O(q^{8})Q(โˆ’15)\mathbb{Q}(\sqrt{-15})
225.4.a.a1qโˆ’5q2+17q4+30q7+O(q8)q - 5q^{2} + 17q^{4} + 30q^{7} + O(q^{8})
225.4.a.b1qโˆ’4q2+8q4โˆ’6q7+O(q8)q - 4q^{2} + 8q^{4} - 6q^{7} + O(q^{8})
225.4.a.c1qโˆ’q2โˆ’7q4+6q7+O(q8)q - q^{2} - 7q^{4} + 6q^{7} + O(q^{8})
225.4.a.d1qโˆ’8q4โˆ’20q7+O(q8)q - 8q^{4} - 20q^{7} + O(q^{8})Q(โˆ’3)\mathbb{Q}(\sqrt{-3})
225.4.a.e1q+q2โˆ’7q4โˆ’6q7+O(q8)q + q^{2} - 7q^{4} - 6q^{7} + O(q^{8})
225.4.a.f1q+q2โˆ’7q4+24q7+O(q8)q + q^{2} - 7q^{4} + 24q^{7} + O(q^{8})
225.4.a.g1q+3q2+q4โˆ’20q7+O(q8)q + 3q^{2} + q^{4} - 20q^{7} + O(q^{8})
225.4.a.h1q+5q2+17q4+30q7+O(q8)q + 5q^{2} + 17q^{4} + 30q^{7} + O(q^{8})
225.4.a.i22qโˆ’3q2+9q4+6q7+O(q8)2q - 3q^{2} + 9q^{4} + 6q^{7} + O(q^{8})
225.4.a.j22qโˆ’2q2+24q4โˆ’26q7+O(q8)2q - 2q^{2} + 24q^{4} - 26q^{7} + O(q^{8})
225.4.a.k22qโˆ’6q4+O(q8)2q - 6q^{4} + O(q^{8})Q(โˆ’15)\mathbb{Q}(\sqrt{-15})
225.4.a.l22q+4q4โˆ’30q7+O(q8)2q + 4q^{4} - 30q^{7} + O(q^{8})
225.4.a.m22q+4q4+30q7+O(q8)2q + 4q^{4} + 30q^{7} + O(q^{8})
225.4.a.n22q+2q2+24q4+26q7+O(q8)2q + 2q^{2} + 24q^{4} + 26q^{7} + O(q^{8})
225.4.a.o22q+3q2+9q4โˆ’6q7+O(q8)2q + 3q^{2} + 9q^{4} - 6q^{7} + O(q^{8})