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Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (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 5
5400.2.a.b 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}-q^{11}+q^{13}+3q^{17}+2q^{19}+\cdots\)
5400.2.a.d 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-4q^{7}+4q^{11}+q^{13}+8q^{17}-8q^{19}+\cdots\)
5400.2.a.l 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}-2q^{11}+2q^{13}+3q^{17}-q^{19}+\cdots\)
5400.2.a.p 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-2q^{7}+3q^{11}-3q^{13}-2q^{17}+4q^{19}+\cdots\)
5400.2.a.y 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}-6q^{11}+6q^{13}-2q^{17}+7q^{19}+\cdots\)
5400.2.a.be 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}-5q^{11}+q^{13}+2q^{17}-8q^{19}+\cdots\)
5400.2.a.bj 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+2q^{7}+2q^{11}-2q^{13}+3q^{17}-q^{19}+\cdots\)
5400.2.a.bo 5400.a 1.a $1$ $43.119$ \(\Q\) None \(0\) \(0\) \(0\) \(3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+3q^{7}+4q^{11}-6q^{13}-6q^{17}-q^{19}+\cdots\)
5400.2.a.cc 5400.a 1.a $2$ $43.119$ \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{7}+(-2-\beta )q^{11}+(-1-2\beta )q^{13}+\cdots\)
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