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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)

  displayed columns for results
Label Char Prim Dim $A$ Field CM Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 5 19
7600.2.a.i 7600.a 1.a $1$ $60.686$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{7}-3q^{9}+4q^{11}-2q^{13}+4q^{17}+\cdots\)
7600.2.a.l 7600.a 1.a $1$ $60.686$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{7}-3q^{9}+4q^{11}+2q^{13}-4q^{17}+\cdots\)
7600.2.a.bi 7600.a 1.a $3$ $60.686$ 3.3.568.1 None \(0\) \(-2\) \(0\) \(-4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1-\beta _{1})q^{7}+(2+\cdots)q^{9}+\cdots\)
7600.2.a.bk 7600.a 1.a $3$ $60.686$ 3.3.993.1 None \(0\) \(-2\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1+\beta _{2})q^{7}+(2+\cdots)q^{9}+\cdots\)
7600.2.a.bl 7600.a 1.a $3$ $60.686$ 3.3.321.1 None \(0\) \(-2\) \(0\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(-1-\beta _{2})q^{3}+(-1+2\beta _{1}+\beta _{2})q^{7}+\cdots\)
7600.2.a.cc 7600.a 1.a $3$ $60.686$ 3.3.169.1 None \(0\) \(2\) \(0\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
7600.2.a.cd 7600.a 1.a $3$ $60.686$ 3.3.568.1 None \(0\) \(2\) \(0\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{1})q^{3}+(1+\beta _{1})q^{7}+(2+\beta _{2})q^{9}+\cdots\)
7600.2.a.cj 7600.a 1.a $6$ $60.686$ 6.6.56310016.1 None \(0\) \(0\) \(0\) \(0\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{3}q^{3}-\beta _{4}q^{7}+(2-\beta _{1}+\beta _{5})q^{9}+\cdots\)
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