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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 11
1386.2.a.a 1386.a 1.a $1$ $11.067$ \(\Q\) None 462.2.a.g \(-1\) \(0\) \(-2\) \(-1\) $+$ $-$ $+$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}-2q^{5}-q^{7}-q^{8}+2q^{10}+\cdots\)
1386.2.a.c 1386.a 1.a $1$ $11.067$ \(\Q\) None 462.2.a.f \(-1\) \(0\) \(0\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+q^{7}-q^{8}+q^{11}+2q^{13}+\cdots\)
1386.2.a.e 1386.a 1.a $1$ $11.067$ \(\Q\) None 462.2.a.e \(-1\) \(0\) \(4\) \(1\) $+$ $-$ $-$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+4q^{5}+q^{7}-q^{8}-4q^{10}+\cdots\)
1386.2.a.i 1386.a 1.a $1$ $11.067$ \(\Q\) None 462.2.a.b \(1\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}-2q^{13}+\cdots\)
1386.2.a.j 1386.a 1.a $1$ $11.067$ \(\Q\) None 462.2.a.d \(1\) \(0\) \(0\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}-q^{7}+q^{8}+q^{11}+6q^{13}+\cdots\)
1386.2.a.k 1386.a 1.a $1$ $11.067$ \(\Q\) None 462.2.a.a \(1\) \(0\) \(2\) \(1\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
1386.2.a.l 1386.a 1.a $1$ $11.067$ \(\Q\) None 154.2.a.a \(1\) \(0\) \(4\) \(-1\) $-$ $-$ $+$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+4q^{5}-q^{7}+q^{8}+4q^{10}+\cdots\)
1386.2.a.n 1386.a 1.a $2$ $11.067$ \(\Q(\sqrt{10}) \) None 1386.2.a.n \(-2\) \(0\) \(0\) \(-2\) $+$ $+$ $+$ $-$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+\beta q^{5}-q^{7}-q^{8}-\beta q^{10}+\cdots\)
1386.2.a.o 1386.a 1.a $2$ $11.067$ \(\Q(\sqrt{10}) \) None 1386.2.a.n \(2\) \(0\) \(0\) \(-2\) $-$ $+$ $+$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots\)
1386.2.a.p 1386.a 1.a $2$ $11.067$ \(\Q(\sqrt{3}) \) None 462.2.a.h \(2\) \(0\) \(0\) \(2\) $-$ $-$ $-$ $+$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+\beta q^{5}+q^{7}+q^{8}+\beta q^{10}+\cdots\)
1386.2.a.q 1386.a 1.a $3$ $11.067$ 3.3.1304.1 None 1386.2.a.q \(-3\) \(0\) \(-2\) \(3\) $+$ $+$ $-$ $+$ $\mathrm{SU}(2)$ \(q-q^{2}+q^{4}+(-1-\beta _{2})q^{5}+q^{7}-q^{8}+\cdots\)
1386.2.a.r 1386.a 1.a $3$ $11.067$ 3.3.1304.1 None 1386.2.a.q \(3\) \(0\) \(2\) \(3\) $-$ $+$ $-$ $-$ $\mathrm{SU}(2)$ \(q+q^{2}+q^{4}+(1+\beta _{2})q^{5}+q^{7}+q^{8}+\cdots\)
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