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Results (30 matches)

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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
5148.2.a.a \(1\) \(41.107\) \(\Q\) None \(0\) \(0\) \(-3\) \(2\) \(-\) \(q-3q^{5}+2q^{7}-q^{11}+q^{13}+2q^{19}+\cdots\)
5148.2.a.b \(1\) \(41.107\) \(\Q\) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-2q^{5}+q^{11}+q^{13}+6q^{17}+4q^{23}+\cdots\)
5148.2.a.c \(1\) \(41.107\) \(\Q\) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}+q^{11}+q^{13}+2q^{17}+6q^{19}+\cdots\)
5148.2.a.d \(1\) \(41.107\) \(\Q\) None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+2q^{7}+q^{11}+q^{13}-6q^{17}+2q^{19}+\cdots\)
5148.2.a.e \(1\) \(41.107\) \(\Q\) None \(0\) \(0\) \(2\) \(-2\) \(-\) \(q+2q^{5}-2q^{7}-q^{11}+q^{13}+2q^{19}+\cdots\)
5148.2.a.f \(1\) \(41.107\) \(\Q\) None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+2q^{5}-q^{11}+q^{13}-6q^{17}-4q^{23}+\cdots\)
5148.2.a.g \(2\) \(41.107\) \(\Q(\sqrt{21}) \) None \(0\) \(0\) \(-4\) \(5\) \(-\) \(q-2q^{5}+(2+\beta )q^{7}+q^{11}-q^{13}+4q^{17}+\cdots\)
5148.2.a.h \(2\) \(41.107\) \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(0\) \(-3\) \(+\) \(q+(-1-\beta )q^{7}+q^{11}+q^{13}+2\beta q^{17}+\cdots\)
5148.2.a.i \(2\) \(41.107\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+(1+\beta )q^{5}-q^{11}-q^{13}+(1-3\beta )q^{17}+\cdots\)
5148.2.a.j \(2\) \(41.107\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(4\) \(0\) \(-\) \(q+(2+\beta )q^{5}+2\beta q^{7}+q^{11}-q^{13}+\cdots\)
5148.2.a.k \(2\) \(41.107\) \(\Q(\sqrt{21}) \) None \(0\) \(0\) \(4\) \(3\) \(-\) \(q+2q^{5}+(2-\beta )q^{7}-q^{11}+q^{13}+(-3+\cdots)q^{19}+\cdots\)
5148.2.a.l \(3\) \(41.107\) 3.3.404.1 None \(0\) \(0\) \(-4\) \(-4\) \(+\) \(q+(-1-2\beta _{1}+\beta _{2})q^{5}+(-2+\beta _{1}+\cdots)q^{7}+\cdots\)
5148.2.a.m \(3\) \(41.107\) 3.3.564.1 None \(0\) \(0\) \(-2\) \(4\) \(+\) \(q+(-1+\beta _{1})q^{5}+(1-\beta _{2})q^{7}-q^{11}+\cdots\)
5148.2.a.n \(3\) \(41.107\) 3.3.1620.1 None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-\beta _{1}q^{5}+\beta _{2}q^{7}+q^{11}-q^{13}+(-2+\cdots)q^{17}+\cdots\)
5148.2.a.o \(3\) \(41.107\) 3.3.229.1 None \(0\) \(0\) \(1\) \(-7\) \(+\) \(q+(-\beta _{1}-\beta _{2})q^{5}+(-2-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
5148.2.a.p \(4\) \(41.107\) 4.4.82128.1 None \(0\) \(0\) \(-4\) \(2\) \(+\) \(q+(-1+\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
5148.2.a.q \(4\) \(41.107\) 4.4.90996.1 None \(0\) \(0\) \(-2\) \(2\) \(-\) \(q+\beta _{1}q^{5}+(1+\beta _{2})q^{7}-q^{11}+q^{13}+\cdots\)
5148.2.a.r \(4\) \(41.107\) 4.4.82128.1 None \(0\) \(0\) \(4\) \(2\) \(-\) \(q+(1-\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+q^{11}+\cdots\)
5148.2.a.s \(5\) \(41.107\) 5.5.815952.1 None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(q-\beta _{4}q^{5}+\beta _{3}q^{7}+q^{11}-q^{13}+(-\beta _{1}+\cdots)q^{17}+\cdots\)
5148.2.a.t \(5\) \(41.107\) 5.5.815952.1 None \(0\) \(0\) \(2\) \(-2\) \(-\) \(q+\beta _{4}q^{5}+\beta _{3}q^{7}-q^{11}-q^{13}+(\beta _{1}+\cdots)q^{17}+\cdots\)
5148.2.d.a \(48\) \(41.107\) None \(0\) \(0\) \(0\) \(0\)
5148.2.e.a \(2\) \(41.107\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+4iq^{7}+iq^{11}+(-3+2i)q^{13}+\cdots\)
5148.2.e.b \(4\) \(41.107\) \(\Q(i, \sqrt{21})\) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}-\beta _{2})q^{7}+\beta _{2}q^{11}+(2-3\beta _{2}+\cdots)q^{13}+\cdots\)
5148.2.e.c \(8\) \(41.107\) \(\mathbb{Q}[x]/(x^{8} + \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{1}-\beta _{5}-\beta _{6}+\beta _{7})q^{5}+(\beta _{1}+\beta _{4}+\cdots)q^{7}+\cdots\)
5148.2.e.d \(10\) \(41.107\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{6}q^{5}-\beta _{9}q^{7}-\beta _{3}q^{11}+(\beta _{1}+\beta _{2}+\cdots)q^{13}+\cdots\)
5148.2.e.e \(10\) \(41.107\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{8}q^{5}+(\beta _{8}+\beta _{9})q^{7}+\beta _{7}q^{11}+(-\beta _{4}+\cdots)q^{13}+\cdots\)
5148.2.e.f \(24\) \(41.107\) None \(0\) \(0\) \(0\) \(0\)
5148.2.p.a \(56\) \(41.107\) None \(0\) \(0\) \(0\) \(0\)
5148.2.ba.a \(44\) \(41.107\) None \(0\) \(0\) \(0\) \(0\)
5148.2.ba.b \(44\) \(41.107\) None \(0\) \(0\) \(0\) \(0\)
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