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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 (18 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 13 103
8034.2.a.a 8034.a 1.a $1$ $64.152$ \(\Q\) None \(-1\) \(-1\) \(-4\) \(1\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}+q^{7}+\cdots\)
8034.2.a.c 8034.a 1.a $1$ $64.152$ \(\Q\) None \(-1\) \(1\) \(1\) \(3\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}+3q^{7}+\cdots\)
8034.2.a.d 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(-1\) \(-2\) \(-5\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}-5q^{7}+\cdots\)
8034.2.a.e 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(-1\) \(-2\) \(4\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-2q^{5}-q^{6}+4q^{7}+\cdots\)
8034.2.a.f 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(-1\) \(4\) \(-5\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+4q^{5}-q^{6}-5q^{7}+\cdots\)
8034.2.a.g 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(1\) \(-2\) \(-4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}-2q^{5}+q^{6}-4q^{7}+\cdots\)
8034.2.a.i 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(1\) \(0\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{8}+q^{9}+\cdots\)
8034.2.a.j 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(1\) \(2\) \(0\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}+q^{8}+\cdots\)
8034.2.a.k 8034.a 1.a $1$ $64.152$ \(\Q\) None \(1\) \(1\) \(4\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+4q^{5}+q^{6}-q^{7}+\cdots\)
8034.2.a.n 8034.a 1.a $4$ $64.152$ 4.4.72329.1 None \(4\) \(4\) \(2\) \(5\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+(1+\beta _{2})q^{5}+q^{6}+\cdots\)
8034.2.a.t 8034.a 1.a $11$ $64.152$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-11\) \(11\) \(4\) \(4\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}-\beta _{8}q^{7}+\cdots\)
8034.2.a.v 8034.a 1.a $11$ $64.152$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(11\) \(11\) \(5\) \(4\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}-\beta _{9}q^{7}+\cdots\)
8034.2.a.x 8034.a 1.a $13$ $64.152$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(-13\) \(13\) \(1\) \(-1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}-q^{6}+\beta _{3}q^{7}+\cdots\)
8034.2.a.y 8034.a 1.a $13$ $64.152$ \(\mathbb{Q}[x]/(x^{13} - \cdots)\) None \(13\) \(-13\) \(3\) \(5\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}+\beta _{8}q^{5}-q^{6}+\beta _{1}q^{7}+\cdots\)
8034.2.a.z 8034.a 1.a $14$ $64.152$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(-14\) \(-3\) \(4\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}+\beta _{6}q^{7}+\cdots\)
8034.2.a.ba 8034.a 1.a $14$ $64.152$ \(\mathbb{Q}[x]/(x^{14} - \cdots)\) None \(-14\) \(-14\) \(-1\) \(5\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}+q^{6}-\beta _{7}q^{7}+\cdots\)
8034.2.a.bc 8034.a 1.a $15$ $64.152$ \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(15\) \(-15\) \(-1\) \(5\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}-q^{3}+q^{4}-\beta _{1}q^{5}-q^{6}-\beta _{12}q^{7}+\cdots\)
8034.2.a.bd 8034.a 1.a $16$ $64.152$ \(\mathbb{Q}[x]/(x^{16} - \cdots)\) None \(16\) \(16\) \(5\) \(4\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{3}+q^{4}+\beta _{1}q^{5}+q^{6}-\beta _{9}q^{7}+\cdots\)
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