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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 (8 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 61
1098.2.a.a 1098.a 1.a $1$ $8.768$ \(\Q\) None 366.2.a.f \(-1\) \(0\) \(-1\) \(-2\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
1098.2.a.b 1098.a 1.a $1$ $8.768$ \(\Q\) None 366.2.a.g \(-1\) \(0\) \(-1\) \(1\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-q^{5}+q^{7}-q^{8}+q^{10}+\cdots\)
1098.2.a.d 1098.a 1.a $1$ $8.768$ \(\Q\) None 1098.2.a.d \(-1\) \(0\) \(1\) \(4\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{5}+4q^{7}-q^{8}-q^{10}+\cdots\)
1098.2.a.e 1098.a 1.a $1$ $8.768$ \(\Q\) None 366.2.a.d \(-1\) \(0\) \(3\) \(-3\) $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+3q^{5}-3q^{7}-q^{8}-3q^{10}+\cdots\)
1098.2.a.g 1098.a 1.a $1$ $8.768$ \(\Q\) None 1098.2.a.f \(1\) \(0\) \(-3\) \(0\) $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}-2q^{11}+\cdots\)
1098.2.a.h 1098.a 1.a $1$ $8.768$ \(\Q\) None 122.2.a.a \(1\) \(0\) \(-1\) \(-5\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-5q^{7}+q^{8}-q^{10}+\cdots\)
1098.2.a.i 1098.a 1.a $1$ $8.768$ \(\Q\) None 366.2.a.c \(1\) \(0\) \(-1\) \(-2\) $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{5}-2q^{7}+q^{8}-q^{10}+\cdots\)
1098.2.a.o 1098.a 1.a $3$ $8.768$ 3.3.892.1 None 1098.2.a.o \(-3\) \(0\) \(-4\) \(-2\) $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1-\beta _{1})q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
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