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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 (16 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.a 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.b 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(-32\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-2^{5}q^{7}-60q^{11}-34q^{13}+\cdots\)
720.4.a.c 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(-32\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}-2^{5}q^{7}+6^{2}q^{11}-10q^{13}+\cdots\)
720.4.a.g 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.j 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(4\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+4q^{7}+12q^{11}-58q^{13}+\cdots\)
720.4.a.k 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(16\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+2^{4}q^{7}-60q^{11}+86q^{13}+\cdots\)
720.4.a.m 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.n 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(-5\) \(24\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q-5q^{5}+24q^{7}+52q^{11}+22q^{13}+\cdots\)
720.4.a.q 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-20\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-20q^{7}-56q^{11}-86q^{13}+\cdots\)
720.4.a.s 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-20\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-20q^{7}+2^{4}q^{11}+58q^{13}+\cdots\)
720.4.a.t 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.v 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(-4\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}-4q^{7}+72q^{11}-6q^{13}-38q^{17}+\cdots\)
720.4.a.w 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.ba 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(18\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+18q^{7}-2^{4}q^{11}-6q^{13}+\cdots\)
720.4.a.bc 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.bd 720.a 1.a $1$ $42.481$ \(\Q\) None \(0\) \(0\) \(5\) \(34\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+5q^{5}+34q^{7}+2^{4}q^{11}+58q^{13}+\cdots\)
  displayed columns for results