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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)

  displayed columns for results
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.g 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.i 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.s 7406.a 1.a $2$ $59.137$ \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(-2\) \(-2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1-\beta )q^{5}+\cdots\)
7406.2.a.t 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.w 7406.a 1.a $3$ $59.137$ 3.3.1509.1 None \(3\) \(-1\) \(4\) \(-3\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-\beta _{1}q^{3}+q^{4}+(1+\beta _{1})q^{5}-\beta _{1}q^{6}+\cdots\)
7406.2.a.ba 7406.a 1.a $4$ $59.137$ 4.4.449797.1 None \(4\) \(0\) \(-4\) \(-4\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1})q^{5}+\cdots\)
7406.2.a.bk 7406.a 1.a $6$ $59.137$ 6.6.84770496.1 None \(6\) \(2\) \(-4\) \(-6\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
7406.2.a.bo 7406.a 1.a $10$ $59.137$ 10.10.\(\cdots\).1 None \(10\) \(-9\) \(-3\) \(-10\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(\beta _{1}-\beta _{9})q^{5}+\cdots\)
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