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Level Weight Analytic conductor \(Nk^2\) Dim.
Bad \(p\) Char. Primitive character Character order Coefficient field
Self-twists CM/RM discriminant Inner twist count Is self-dual Analytic rank
Coefficient ring index Coefficient ring gens. Projective image Projective image type
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Results (8 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 3 13
8112.2.a.a 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-4\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-4q^{5}+2q^{7}+q^{9}-2q^{11}+\cdots\)
8112.2.a.e 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(-2\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}-2q^{5}-2q^{7}+q^{9}-4q^{11}+\cdots\)
8112.2.a.k 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(2\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
8112.2.a.p 8112.a 1.a $1$ $64.775$ \(\Q\) None \(0\) \(-1\) \(4\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{5}-2q^{7}+q^{9}+2q^{11}+\cdots\)
8112.2.a.cc 8112.a 1.a $3$ $64.775$ \(\Q(\zeta_{14})^+\) None \(0\) \(-3\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1-2\beta _{1}+\beta _{2})q^{5}+(1-2\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.cq 8112.a 1.a $4$ $64.775$ 4.4.25488.1 None \(0\) \(-4\) \(-4\) \(2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-1+\beta _{1}-\beta _{2})q^{5}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.cs 8112.a 1.a $4$ $64.775$ 4.4.25488.1 None \(0\) \(-4\) \(4\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(1-\beta _{1}+\beta _{2})q^{5}+(-1-\beta _{1}+\cdots)q^{7}+\cdots\)
8112.2.a.cu 8112.a 1.a $6$ $64.775$ 6.6.27700337.1 None \(0\) \(-6\) \(1\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+(-\beta _{1}+\beta _{3})q^{5}+(1-\beta _{2}-\beta _{4}+\cdots)q^{7}+\cdots\)
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