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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 5 151
6040.2.a.a 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(-3\) \(1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-3q^{3}+q^{5}-4q^{7}+6q^{9}-q^{11}+\cdots\)
6040.2.a.b 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(-2\) \(-1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-2q^{3}-q^{5}+q^{9}+4q^{11}-4q^{13}+\cdots\)
6040.2.a.c 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(-1\) \(1\) \(-4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-4q^{7}-2q^{9}-5q^{11}+\cdots\)
6040.2.a.g 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(1\) \(-1\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}-q^{5}-2q^{9}-5q^{11}-q^{13}+\cdots\)
6040.2.a.i 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}-2q^{9}+4q^{11}+\cdots\)
6040.2.a.m 6040.a 1.a $12$ $48.230$ \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None \(0\) \(3\) \(-12\) \(5\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}-q^{5}+\beta _{9}q^{7}+(1-\beta _{3}+\beta _{10}+\cdots)q^{9}+\cdots\)
6040.2.a.o 6040.a 1.a $15$ $48.230$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(0\) \(5\) \(15\) \(7\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+q^{5}-\beta _{4}q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6040.2.a.r 6040.a 1.a $23$ $48.230$ None \(0\) \(2\) \(-23\) \(3\) $-$ $+$ $+$ $\mathrm{SU}(2)$
6040.2.a.s 6040.a 1.a $24$ $48.230$ None \(0\) \(2\) \(24\) \(3\) $-$ $-$ $-$ $\mathrm{SU}(2)$
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