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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 (12 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 3 7
294.6.a.a 294.a 1.a $1$ $47.153$ \(\Q\) None 294.6.a.a \(-4\) \(-9\) \(-26\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-9q^{3}+2^{4}q^{4}-26q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.b 294.a 1.a $1$ $47.153$ \(\Q\) None 42.6.a.d \(-4\) \(-9\) \(-26\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-9q^{3}+2^{4}q^{4}-26q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.c 294.a 1.a $1$ $47.153$ \(\Q\) None 42.6.a.c \(-4\) \(-9\) \(72\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-9q^{3}+2^{4}q^{4}+72q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.k 294.a 1.a $1$ $47.153$ \(\Q\) None 42.6.a.e \(4\) \(9\) \(-76\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}+9q^{3}+2^{4}q^{4}-76q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.m 294.a 1.a $1$ $47.153$ \(\Q\) None 6.6.a.a \(4\) \(9\) \(66\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}+9q^{3}+2^{4}q^{4}+66q^{5}+6^{2}q^{6}+\cdots\)
294.6.a.o 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{505}) \) None 42.6.e.d \(-8\) \(-18\) \(-17\) \(0\) $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-4q^{2}-9q^{3}+2^{4}q^{4}+(-9-\beta )q^{5}+\cdots\)
294.6.a.p 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{505}) \) None 42.6.e.d \(-8\) \(18\) \(17\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{2}+9q^{3}+2^{4}q^{4}+(9+\beta )q^{5}+\cdots\)
294.6.a.q 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{2}) \) None 294.6.a.n \(-8\) \(18\) \(108\) \(0\) $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-4q^{2}+9q^{3}+2^{4}q^{4}+(54+5\beta )q^{5}+\cdots\)
294.6.a.r 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{9601}) \) None 42.6.e.c \(8\) \(-18\) \(-53\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+4q^{2}-9q^{3}+2^{4}q^{4}+(-26-\beta )q^{5}+\cdots\)
294.6.a.t 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{2}) \) None 294.6.a.t \(8\) \(-18\) \(108\) \(0\) $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q+4q^{2}-9q^{3}+2^{4}q^{4}+(54+5\beta )q^{5}+\cdots\)
294.6.a.v 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{4705}) \) None 294.6.a.s \(8\) \(18\) \(18\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}+9q^{3}+2^{4}q^{4}+(9-\beta )q^{5}+\cdots\)
294.6.a.w 294.a 1.a $2$ $47.153$ \(\Q(\sqrt{9601}) \) None 42.6.e.c \(8\) \(18\) \(53\) \(0\) $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q+4q^{2}+9q^{3}+2^{4}q^{4}+(3^{3}-\beta )q^{5}+\cdots\)
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