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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 7 11
4851.2.a.e 4851.a 1.a $1$ $38.735$ \(\Q\) None \(-1\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{4}+3q^{8}+q^{11}+4q^{13}+\cdots\)
4851.2.a.n 4851.a 1.a $1$ $38.735$ \(\Q\) None \(1\) \(0\) \(-4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-4q^{5}-3q^{8}-4q^{10}+\cdots\)
4851.2.a.r 4851.a 1.a $1$ $38.735$ \(\Q\) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{2}+2q^{4}+q^{11}-5q^{13}-4q^{16}+\cdots\)
4851.2.a.bc 4851.a 1.a $2$ $38.735$ \(\Q(\sqrt{2}) \) None \(2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{4}-\beta q^{5}-3q^{8}-\beta q^{10}+\cdots\)
4851.2.a.bo 4851.a 1.a $3$ $38.735$ 3.3.257.1 None \(0\) \(0\) \(2\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{2}+(1+\beta _{1}-\beta _{2})q^{4}+(1-\beta _{1}+\cdots)q^{5}+\cdots\)
4851.2.a.br 4851.a 1.a $4$ $38.735$ 4.4.2624.1 None \(-2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+\beta _{2}q^{4}+(1-\beta _{1}-\beta _{2}+\cdots)q^{5}+\cdots\)
4851.2.a.bs 4851.a 1.a $4$ $38.735$ 4.4.2624.1 None \(-2\) \(0\) \(0\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{2}+\beta _{2}q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
4851.2.a.bt 4851.a 1.a $4$ $38.735$ 4.4.11344.1 None \(-2\) \(0\) \(-4\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-\beta _{1}q^{2}+(1+\beta _{1}+\beta _{2})q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
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