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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 11 13
1859.4.a.c 1859.a 1.a $6$ $109.685$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(6\) \(-6\) \(8\) \(53\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(-1-\beta _{4})q^{3}+(4-\beta _{1}+\cdots)q^{4}+\cdots\)
1859.4.a.e 1859.a 1.a $11$ $109.685$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-6\) \(6\) \(4\) \(-45\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+(1-\beta _{5})q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots\)
1859.4.a.h 1859.a 1.a $17$ $109.685$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(0\) \(-6\) \(24\) \(62\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(3+\beta _{2})q^{4}+(1-\beta _{7}+\cdots)q^{5}+\cdots\)
1859.4.a.i 1859.a 1.a $17$ $109.685$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(4\) \(-6\) \(16\) \(-6\) $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(5+\beta _{2})q^{4}+(1+\beta _{6}+\cdots)q^{5}+\cdots\)
1859.4.a.k 1859.a 1.a $18$ $109.685$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(2\) \(0\) \(20\) \(28\) $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(4+\beta _{2})q^{4}+(1+\beta _{11}+\cdots)q^{5}+\cdots\)
1859.4.a.m 1859.a 1.a $36$ $109.685$ None \(4\) \(12\) \(40\) \(56\) $-$ $-$ $\mathrm{SU}(2)$
1859.4.a.p 1859.a 1.a $51$ $109.685$ None \(0\) \(21\) \(-41\) \(-4\) $+$ $+$ $\mathrm{SU}(2)$
1859.4.a.q 1859.a 1.a $51$ $109.685$ None \(0\) \(21\) \(41\) \(4\) $-$ $-$ $\mathrm{SU}(2)$
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