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Results (24 matches)

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Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 23
7406.2.a.a 7406.a 1.a $1$ $59.137$ \(\Q\) None \(-1\) \(-2\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{7}-q^{8}+\cdots\)
7406.2.a.b 7406.a 1.a $1$ $59.137$ \(\Q\) None \(-1\) \(0\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{7}-q^{8}-3q^{9}+4q^{11}+\cdots\)
7406.2.a.d 7406.a 1.a $1$ $59.137$ \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-3q^{9}+\cdots\)
7406.2.a.e 7406.a 1.a $1$ $59.137$ \(\Q\) None \(-1\) \(2\) \(0\) \(-1\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots\)
7406.2.a.f 7406.a 1.a $1$ $59.137$ \(\Q\) None \(1\) \(-2\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-2q^{3}+q^{4}+2q^{5}-2q^{6}+q^{7}+\cdots\)
7406.2.a.h 7406.a 1.a $1$ $59.137$ \(\Q\) None \(1\) \(-1\) \(4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}+q^{7}+\cdots\)
7406.2.a.k 7406.a 1.a $2$ $59.137$ \(\Q(\sqrt{13}) \) None \(-2\) \(-1\) \(-1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-\beta q^{3}+q^{4}+(-1+\beta )q^{5}+\beta q^{6}+\cdots\)
7406.2.a.m 7406.a 1.a $2$ $59.137$ \(\Q(\sqrt{6}) \) None \(-2\) \(0\) \(0\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+\beta q^{5}-\beta q^{6}-q^{7}+\cdots\)
7406.2.a.p 7406.a 1.a $2$ $59.137$ \(\Q(\sqrt{5}) \) None \(-2\) \(1\) \(1\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta q^{3}+q^{4}+(1-\beta )q^{5}-\beta q^{6}+\cdots\)
7406.2.a.r 7406.a 1.a $2$ $59.137$ \(\Q(\sqrt{2}) \) None \(-2\) \(4\) \(0\) \(2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+2q^{3}+q^{4}-2\beta q^{5}-2q^{6}+\cdots\)
7406.2.a.u 7406.a 1.a $3$ $59.137$ 3.3.148.1 None \(3\) \(-2\) \(2\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(1-\beta _{2})q^{5}+\cdots\)
7406.2.a.v 7406.a 1.a $3$ $59.137$ 3.3.1509.1 None \(3\) \(-1\) \(-4\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(-1-\beta _{1})q^{5}+\cdots\)
7406.2.a.x 7406.a 1.a $3$ $59.137$ 3.3.316.1 None \(3\) \(2\) \(-4\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta _{2})q^{3}+q^{4}+(-1+\beta _{2})q^{5}+\cdots\)
7406.2.a.z 7406.a 1.a $4$ $59.137$ \(\Q(\zeta_{24})^+\) None \(-4\) \(-4\) \(0\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
7406.2.a.bc 7406.a 1.a $4$ $59.137$ 4.4.4352.1 None \(4\) \(0\) \(4\) \(-4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(-\beta _{1}+\beta _{3})q^{3}+q^{4}+(1-\beta _{2}+\cdots)q^{5}+\cdots\)
7406.2.a.bd 7406.a 1.a $4$ $59.137$ 4.4.449797.1 None \(4\) \(0\) \(4\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{1})q^{5}+\beta _{1}q^{6}+\cdots\)
7406.2.a.bi 7406.a 1.a $6$ $59.137$ 6.6.596217024.1 None \(-6\) \(0\) \(0\) \(-6\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots\)
7406.2.a.bl 7406.a 1.a $6$ $59.137$ 6.6.84770496.1 None \(6\) \(2\) \(4\) \(6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{4})q^{5}+\beta _{1}q^{6}+\cdots\)
7406.2.a.bn 7406.a 1.a $8$ $59.137$ 8.8.6120603648.1 None \(8\) \(0\) \(8\) \(-8\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{2}+\beta _{4}+\cdots)q^{5}+\cdots\)
7406.2.a.br 7406.a 1.a $12$ $59.137$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(-12\) \(0\) \(0\) \(12\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{8}q^{5}-\beta _{1}q^{6}+\cdots\)
7406.2.a.bs 7406.a 1.a $20$ $59.137$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-20\) \(1\) \(-1\) \(-20\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}+\beta _{12}q^{5}-\beta _{1}q^{6}+\cdots\)
7406.2.a.bt 7406.a 1.a $20$ $59.137$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(-20\) \(1\) \(1\) \(20\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{12}q^{5}-\beta _{1}q^{6}+\cdots\)
7406.2.a.bu 7406.a 1.a $20$ $59.137$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(20\) \(11\) \(-1\) \(-20\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}-\beta _{12}q^{5}+\cdots\)
7406.2.a.bv 7406.a 1.a $20$ $59.137$ \(\mathbb{Q}[x]/(x^{20} - \cdots)\) None \(20\) \(11\) \(1\) \(20\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}+\beta _{12}q^{5}+\cdots\)
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