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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 Analytic rank Dim.
Bad \(p\) Char. Primitive character Character order Is maximal/largest
Coefficient field Self-twists CM/RM discriminant Inner twist count Is self-dual
Coefficient ring index Coefficient ring gens. Is twist minimal Projective image
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Results (7 matches)

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Label Char Prim Dim $A$ Field CM Minimal twist Traces A-L signs Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 7 11
2156.2.a.b 2156.a 1.a $1$ $17.216$ \(\Q\) None 308.2.a.a \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{3}+q^{5}-2q^{9}+q^{11}+4q^{13}+\cdots\)
2156.2.a.f 2156.a 1.a $2$ $17.216$ \(\Q(\sqrt{2}) \) None 2156.2.a.f \(0\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+2\beta q^{3}+\beta q^{5}+5q^{9}-q^{11}-\beta q^{13}+\cdots\)
2156.2.a.i 2156.a 1.a $3$ $17.216$ 3.3.321.1 None 308.2.i.a \(0\) \(1\) \(-2\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-\beta _{2}q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
2156.2.a.j 2156.a 1.a $3$ $17.216$ 3.3.1016.1 None 308.2.a.c \(0\) \(1\) \(1\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(\beta _{1}+\beta _{2})q^{5}+(1+\beta _{1}+\beta _{2})q^{9}+\cdots\)
2156.2.a.k 2156.a 1.a $3$ $17.216$ 3.3.257.1 None 308.2.i.b \(0\) \(3\) \(2\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+(1-\beta _{1})q^{5}+(1+\beta _{1}+\cdots)q^{9}+\cdots\)
2156.2.a.l 2156.a 1.a $4$ $17.216$ \(\Q(\zeta_{24})^+\) None 2156.2.a.l \(0\) \(0\) \(0\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+(2\beta _{1}+\beta _{3})q^{5}+(-1+\beta _{2}+\cdots)q^{9}+\cdots\)
2156.2.a.m 2156.a 1.a $4$ $17.216$ 4.4.301088.1 None 2156.2.a.m \(0\) \(0\) \(0\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+\beta _{1}q^{3}+\beta _{2}q^{5}+(4+\beta _{3})q^{9}+q^{11}+\cdots\)
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