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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 29
464.4.a.c 464.a 1.a $2$ $27.377$ \(\Q(\sqrt{22}) \) None \(0\) \(-10\) \(30\) \(0\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-5+\beta )q^{3}+15q^{5}-2\beta q^{7}+(20+\cdots)q^{9}+\cdots\)
464.4.a.e 464.a 1.a $2$ $27.377$ \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(-10\) \(16\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta )q^{3}+(-5+6\beta )q^{5}+(8+8\beta )q^{7}+\cdots\)
464.4.a.f 464.a 1.a $2$ $27.377$ \(\Q(\sqrt{2}) \) None \(0\) \(10\) \(-10\) \(16\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(5+3\beta )q^{3}+(-5+4\beta )q^{5}+(8-10\beta )q^{7}+\cdots\)
464.4.a.g 464.a 1.a $3$ $27.377$ 3.3.229.1 None \(0\) \(-6\) \(4\) \(-16\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+3\beta _{2})q^{3}+(1+3\beta _{1}-4\beta _{2})q^{5}+\cdots\)
464.4.a.h 464.a 1.a $3$ $27.377$ 3.3.4481.1 None \(0\) \(-3\) \(11\) \(38\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(4+\beta _{1}+\beta _{2})q^{5}+\cdots\)
464.4.a.i 464.a 1.a $3$ $27.377$ 3.3.19816.1 None \(0\) \(-2\) \(20\) \(-24\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(6+2\beta _{1}+\beta _{2})q^{5}+\cdots\)
464.4.a.j 464.a 1.a $3$ $27.377$ 3.3.148344.1 None \(0\) \(10\) \(-20\) \(-8\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(3+\beta _{1})q^{3}+(-7+\beta _{2})q^{5}+(-4+\cdots)q^{7}+\cdots\)
464.4.a.n 464.a 1.a $6$ $27.377$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(0\) \(5\) \(-5\) \(38\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{3})q^{3}+(-1-\beta _{3}-\beta _{4})q^{5}+\cdots\)
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