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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 (14 matches)

  displayed columns for results
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
720.4.a.d 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(-16\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-2^{4}q^{7}+6^{2}q^{11}-42q^{13}+\cdots\)
720.4.a.e 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(-14\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-14q^{7}-6q^{11}+68q^{13}+\cdots\)
720.4.a.f 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(-8\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-8q^{7}+20q^{11}+22q^{13}+\cdots\)
720.4.a.h 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(-2\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-2q^{7}+30q^{11}-4q^{13}-90q^{17}+\cdots\)
720.4.a.i 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+4q^{11}+54q^{13}-114q^{17}+\cdots\)
720.4.a.l 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(16\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+2^{4}q^{7}-28q^{11}-26q^{13}+\cdots\)
720.4.a.o 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(30\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+30q^{7}-50q^{11}-20q^{13}+\cdots\)
720.4.a.p 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-34\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-34q^{7}+18q^{11}+12q^{13}+\cdots\)
720.4.a.r 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-20\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-20q^{7}-24q^{11}+74q^{13}+\cdots\)
720.4.a.u 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-6\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-6q^{7}+2^{5}q^{11}-38q^{13}+\cdots\)
720.4.a.x 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-2\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-2q^{7}+34q^{11}-68q^{13}+\cdots\)
720.4.a.y 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(4\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+4q^{7}-48q^{11}+2q^{13}+114q^{17}+\cdots\)
720.4.a.z 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(18\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+18q^{7}-34q^{11}+12q^{13}+\cdots\)
720.4.a.bb 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(28\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+28q^{7}-24q^{11}-70q^{13}+\cdots\)
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