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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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 7 11
4928.2.a.b 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-2\) \(-4\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-4q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4928.2.a.l 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(-1\) \(1\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}+q^{7}-2q^{9}+q^{11}+4q^{13}+\cdots\)
4928.2.a.bf 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(-2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-2q^{5}+q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
4928.2.a.bi 4928.a 1.a $1$ $39.350$ \(\Q\) None \(0\) \(2\) \(2\) \(1\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}+2q^{5}+q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
4928.2.a.bo 4928.a 1.a $2$ $39.350$ \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(3\) \(2\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-\beta q^{3}+(2-\beta )q^{5}+q^{7}+(1+\beta )q^{9}+\cdots\)
4928.2.a.cf 4928.a 1.a $4$ $39.350$ 4.4.8468.1 None \(0\) \(-1\) \(5\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(1+\beta _{3})q^{5}+q^{7}+\beta _{3}q^{9}+\cdots\)
4928.2.a.ch 4928.a 1.a $4$ $39.350$ 4.4.11348.1 None \(0\) \(1\) \(-5\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{2}q^{3}+(-1+\beta _{1})q^{5}+q^{7}+(2+\beta _{2}+\cdots)q^{9}+\cdots\)
4928.2.a.cl 4928.a 1.a $5$ $39.350$ 5.5.2042356.1 None \(0\) \(3\) \(1\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1-\beta _{2})q^{3}-\beta _{3}q^{5}+q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots\)
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