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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
1728.2.a.b 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(-4\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{5}+3q^{7}+4q^{11}-q^{13}-4q^{17}+\cdots\)
1728.2.a.h 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(-2\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-2q^{5}+3q^{7}-6q^{11}+3q^{13}-2q^{17}+\cdots\)
1728.2.a.i 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}-5q^{11}-4q^{13}+8q^{17}+\cdots\)
1728.2.a.j 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(-1\) \(-3\) $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}-3q^{7}+3q^{11}-4q^{17}+6q^{19}+\cdots\)
1728.2.a.m 1728.a 1.a $1$ $13.798$ \(\Q\) \(\Q(\sqrt{-3}) \) \(0\) \(0\) \(0\) \(-5\) $-$ $+$ $N(\mathrm{U}(1))$ \(q-5q^{7}+7q^{13}-q^{19}-5q^{25}+4q^{31}+\cdots\)
1728.2.a.t 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(1\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{5}+3q^{7}+3q^{11}+4q^{17}-6q^{19}+\cdots\)
1728.2.a.x 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(2\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+2q^{5}+3q^{7}+6q^{11}+3q^{13}+2q^{17}+\cdots\)
1728.2.a.z 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(3\) \(1\) $-$ $+$ $\mathrm{SU}(2)$ \(q+3q^{5}+q^{7}+3q^{11}+4q^{13}+2q^{19}+\cdots\)
1728.2.a.bb 1728.a 1.a $1$ $13.798$ \(\Q\) None \(0\) \(0\) \(4\) \(3\) $-$ $+$ $\mathrm{SU}(2)$ \(q+4q^{5}+3q^{7}-4q^{11}-q^{13}+4q^{17}+\cdots\)
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