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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 19
4275.2.a.e 4275.a 1.a $1$ $34.136$ \(\Q\) None \(-1\) \(0\) \(0\) \(-2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}-2q^{7}+3q^{8}+4q^{11}+\cdots\)
4275.2.a.p 4275.a 1.a $1$ $34.136$ \(\Q\) None \(1\) \(0\) \(0\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+2q^{7}-3q^{8}+4q^{11}+\cdots\)
4275.2.a.q 4275.a 1.a $1$ $34.136$ \(\Q\) None \(1\) \(0\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}+4q^{7}-3q^{8}-3q^{11}+\cdots\)
4275.2.a.w 4275.a 1.a $2$ $34.136$ \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{7}+\cdots\)
4275.2.a.bh 4275.a 1.a $3$ $34.136$ 3.3.621.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{1}+\beta _{2})q^{4}+\beta _{2}q^{7}+\cdots\)
4275.2.a.bm 4275.a 1.a $3$ $34.136$ 3.3.169.1 None \(2\) \(0\) \(0\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{2}+(2-\beta _{1}+\beta _{2})q^{4}+(-1+\cdots)q^{7}+\cdots\)
4275.2.a.bv 4275.a 1.a $7$ $34.136$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(-3\) \(0\) \(0\) \(8\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(1+\beta _{4})q^{7}+\cdots\)
4275.2.a.bw 4275.a 1.a $7$ $34.136$ \(\mathbb{Q}[x]/(x^{7} - \cdots)\) None \(3\) \(0\) \(0\) \(-8\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{2}+(2+\beta _{2})q^{4}+(-1-\beta _{4})q^{7}+\cdots\)
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