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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 7 23
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.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.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.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.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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