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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 3 5 11
1815.4.a.a 1815.a 1.a $1$ $107.088$ \(\Q\) None \(-3\) \(-3\) \(-5\) \(-20\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{2}-3q^{3}+q^{4}-5q^{5}+9q^{6}+\cdots\)
1815.4.a.b 1815.a 1.a $1$ $107.088$ \(\Q\) None \(-1\) \(-3\) \(-5\) \(33\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-3q^{3}-7q^{4}-5q^{5}+3q^{6}+\cdots\)
1815.4.a.f 1815.a 1.a $1$ $107.088$ \(\Q\) None \(0\) \(-3\) \(-5\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}-8q^{4}-5q^{5}-2q^{7}+9q^{9}+\cdots\)
1815.4.a.g 1815.a 1.a $1$ $107.088$ \(\Q\) None \(1\) \(-3\) \(-5\) \(-33\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-3q^{3}-7q^{4}-5q^{5}-3q^{6}+\cdots\)
1815.4.a.s 1815.a 1.a $3$ $107.088$ 3.3.23612.1 None \(4\) \(-9\) \(-15\) \(4\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{1})q^{2}-3q^{3}+(7+\beta _{1}+\beta _{2})q^{4}+\cdots\)
1815.4.a.u 1815.a 1.a $4$ $107.088$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(-1\) \(-12\) \(-20\) \(-45\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}-3q^{3}+(6+\beta _{2})q^{4}-5q^{5}+\cdots\)
1815.4.a.w 1815.a 1.a $4$ $107.088$ \(\mathbb{Q}[x]/(x^{4} - \cdots)\) None \(1\) \(-12\) \(-20\) \(45\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(6+\beta _{2})q^{4}-5q^{5}+\cdots\)
1815.4.a.bm 1815.a 1.a $12$ $107.088$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(1\) \(-36\) \(-60\) \(-51\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}-3q^{3}+(5+\beta _{2})q^{4}-5q^{5}+\cdots\)
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