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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 23
368.4.a.c 368.a 1.a $1$ $21.713$ \(\Q\) None 184.4.a.a \(0\) \(4\) \(22\) \(-8\) $+$ $+$ $\mathrm{SU}(2)$ \(q+4q^{3}+22q^{5}-8q^{7}-11q^{9}+20q^{11}+\cdots\)
368.4.a.e 368.a 1.a $1$ $21.713$ \(\Q\) None 46.4.a.b \(0\) \(9\) \(-20\) \(-2\) $-$ $-$ $\mathrm{SU}(2)$ \(q+9q^{3}-20q^{5}-2q^{7}+54q^{9}+52q^{11}+\cdots\)
368.4.a.g 368.a 1.a $2$ $21.713$ \(\Q(\sqrt{41}) \) None 46.4.a.c \(0\) \(1\) \(10\) \(-6\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-1+3\beta )q^{3}+(4+2\beta )q^{5}+(-2+\cdots)q^{7}+\cdots\)
368.4.a.j 368.a 1.a $3$ $21.713$ 3.3.761.1 None 184.4.a.c \(0\) \(3\) \(2\) \(28\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(1-\beta _{2})q^{3}+(1-\beta _{1}-\beta _{2})q^{5}+(10+\cdots)q^{7}+\cdots\)
368.4.a.k 368.a 1.a $3$ $21.713$ 3.3.1229.1 None 92.4.a.a \(0\) \(4\) \(-10\) \(46\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(1+\beta _{2})q^{3}+(-4-\beta _{1}+3\beta _{2})q^{5}+\cdots\)
368.4.a.l 368.a 1.a $4$ $21.713$ 4.4.334189.1 None 23.4.a.b \(0\) \(-7\) \(14\) \(-16\) $-$ $-$ $\mathrm{SU}(2)$ \(q+(-2-\beta _{2})q^{3}+(3+\beta _{1}-\beta _{3})q^{5}+\cdots\)
368.4.a.m 368.a 1.a $4$ $21.713$ 4.4.2822449.1 None 184.4.a.f \(0\) \(-5\) \(-2\) \(32\) $+$ $+$ $\mathrm{SU}(2)$ \(q+(-1+\beta _{1})q^{3}+(-1-\beta _{1}+\beta _{3})q^{5}+\cdots\)
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