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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 (8 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
360.6.a.b 360.a 1.a $1$ $57.738$ \(\Q\) None \(0\) \(0\) \(-25\) \(-108\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5^{2}q^{5}-108q^{7}+604q^{11}-306q^{13}+\cdots\)
360.6.a.c 360.a 1.a $1$ $57.738$ \(\Q\) None \(0\) \(0\) \(-25\) \(-80\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5^{2}q^{5}-80q^{7}-684q^{11}-978q^{13}+\cdots\)
360.6.a.f 360.a 1.a $1$ $57.738$ \(\Q\) None \(0\) \(0\) \(25\) \(-62\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5^{2}q^{5}-62q^{7}+12^{2}q^{11}-654q^{13}+\cdots\)
360.6.a.h 360.a 1.a $1$ $57.738$ \(\Q\) None \(0\) \(0\) \(25\) \(108\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5^{2}q^{5}+108q^{7}+8q^{11}+162q^{13}+\cdots\)
360.6.a.k 360.a 1.a $2$ $57.738$ \(\Q(\sqrt{2161}) \) None \(0\) \(0\) \(-50\) \(-8\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5^{2}q^{5}+(-4-\beta )q^{7}+(-244-2\beta )q^{11}+\cdots\)
360.6.a.n 360.a 1.a $2$ $57.738$ \(\Q(\sqrt{1489}) \) None \(0\) \(0\) \(50\) \(16\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5^{2}q^{5}+(8+\beta )q^{7}+(-2^{5}+4\beta )q^{11}+\cdots\)
360.6.a.o 360.a 1.a $3$ $57.738$ 3.3.2521041.1 None \(0\) \(0\) \(-75\) \(18\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5^{2}q^{5}+(6+\beta _{1})q^{7}+(-186-\beta _{1}+\cdots)q^{11}+\cdots\)
360.6.a.p 360.a 1.a $3$ $57.738$ 3.3.2521041.1 None \(0\) \(0\) \(75\) \(18\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5^{2}q^{5}+(6+\beta _{1})q^{7}+(186+\beta _{1}+\beta _{2})q^{11}+\cdots\)
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