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Note: Search results may be incomplete due to uncomputed quantities: fricke_eigenval (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 (9 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 3 19
912.2.a.c 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(-1\) \(0\) \(4\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+4q^{7}+q^{9}-4q^{13}+6q^{17}+\cdots\)
912.2.a.e 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(-1\) \(2\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+2q^{5}+q^{9}+2q^{13}-2q^{15}+\cdots\)
912.2.a.g 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(1\) \(-3\) \(5\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-3q^{5}+5q^{7}+q^{9}-q^{11}+2q^{13}+\cdots\)
912.2.a.i 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(1\) \(1\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+3q^{7}+q^{9}+5q^{11}-2q^{13}+\cdots\)
912.2.a.j 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}-2q^{11}+2q^{13}+\cdots\)
912.2.a.k 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+2q^{5}+q^{9}+4q^{11}+2q^{13}+\cdots\)
912.2.a.l 912.a 1.a $1$ $7.282$ \(\Q\) None \(0\) \(1\) \(4\) \(-4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+4q^{5}-4q^{7}+q^{9}+4q^{11}+\cdots\)
912.2.a.n 912.a 1.a $2$ $7.282$ \(\Q(\sqrt{33}) \) None \(0\) \(-2\) \(3\) \(-1\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{3}+(1+\beta )q^{5}+(-1+\beta )q^{7}+q^{9}+\cdots\)
912.2.a.o 912.a 1.a $2$ $7.282$ \(\Q(\sqrt{41}) \) None \(0\) \(2\) \(-1\) \(3\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}-\beta q^{5}+(2-\beta )q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots\)
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