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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 (10 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.d 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(-1\) \(1\) \(-1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{3}+q^{5}-q^{7}-2q^{9}-q^{11}-q^{13}+\cdots\)
6040.2.a.e 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(0\) \(-1\) \(-1\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{5}-q^{7}-3q^{9}+5q^{11}-q^{13}+\cdots\)
6040.2.a.f 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(0\) \(-1\) \(2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{5}+2q^{7}-3q^{9}+4q^{11}-2q^{13}+\cdots\)
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.h 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(1\) \(1\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}+4q^{7}-2q^{9}-3q^{11}+\cdots\)
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.j 6040.a 1.a $1$ $48.230$ \(\Q\) None \(0\) \(2\) \(-1\) \(2\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+2q^{3}-q^{5}+2q^{7}+q^{9}+4q^{11}+\cdots\)
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