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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 (9 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 3 7
4704.2.a.t 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-4q^{11}+2q^{13}+\cdots\)
4704.2.a.v 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-2q^{5}+q^{9}-2q^{13}-2q^{15}+\cdots\)
4704.2.a.w 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}+q^{9}+q^{11}-q^{15}+8q^{17}+\cdots\)
4704.2.a.bd 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+2q^{11}+2q^{15}+\cdots\)
4704.2.a.be 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+4q^{11}+6q^{13}+\cdots\)
4704.2.a.bg 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+q^{9}+2q^{11}+2q^{13}+\cdots\)
4704.2.a.bh 4704.a 1.a $1$ $37.562$ \(\Q\) None \(0\) \(1\) \(4\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}+q^{9}+6q^{11}-5q^{13}+\cdots\)
4704.2.a.br 4704.a 1.a $2$ $37.562$ \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+\beta q^{5}+q^{9}-\beta q^{11}+\beta q^{15}+\cdots\)
4704.2.a.bv 4704.a 1.a $3$ $37.562$ 3.3.621.1 None \(0\) \(3\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta _{2}q^{5}+q^{9}+(\beta _{1}+\beta _{2})q^{11}+\cdots\)
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