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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (110727 objects)

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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 11 61
1342.2.a.b 1342.a 1.a $1$ $10.716$ \(\Q\) None \(1\) \(-1\) \(-4\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}-2q^{7}+\cdots\)
1342.2.a.d 1342.a 1.a $1$ $10.716$ \(\Q\) None \(1\) \(3\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+2q^{7}+q^{8}+\cdots\)
1342.2.a.e 1342.a 1.a $2$ $10.716$ \(\Q(\sqrt{2}) \) None \(-2\) \(2\) \(0\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(1+\beta )q^{3}+q^{4}+\beta q^{5}+(-1+\cdots)q^{6}+\cdots\)
1342.2.a.f 1342.a 1.a $2$ $10.716$ \(\Q(\sqrt{5}) \) None \(2\) \(3\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(1+\beta )q^{3}+q^{4}+2\beta q^{5}+(1+\cdots)q^{6}+\cdots\)
1342.2.a.i 1342.a 1.a $4$ $10.716$ 4.4.48396.1 None \(-4\) \(-2\) \(0\) \(3\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}+(-\beta _{2}+\cdots)q^{5}+\cdots\)
1342.2.a.j 1342.a 1.a $4$ $10.716$ 4.4.2225.1 None \(4\) \(-2\) \(4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+(-1-\beta _{2})q^{3}+q^{4}+(1+\beta _{3})q^{5}+\cdots\)
1342.2.a.m 1342.a 1.a $6$ $10.716$ 6.6.136632976.1 None \(6\) \(2\) \(2\) \(5\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{2}q^{5}+\beta _{1}q^{6}+\cdots\)
1342.2.a.n 1342.a 1.a $9$ $10.716$ \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(5\) \(6\) \(-2\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}+(1-\beta _{5})q^{5}+\cdots\)
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