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Note: Search results may be incomplete due to uncomputed quantities: CM/RM discriminant (18154 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 (6 matches)

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Label Char Prim Dim $A$ Field Image CM RM Minimal twist Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2343.1.g.a 2343.g 2343.g $1$ $1.169$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2343}) \) \(\Q(\sqrt{213}) \) 2343.1.g.a \(0\) \(1\) \(0\) \(0\) \(q+q^{3}-q^{4}+q^{9}-q^{11}-q^{12}+q^{16}+\cdots\)
2343.1.g.b 2343.g 2343.g $1$ $1.169$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2343}) \) \(\Q(\sqrt{213}) \) 2343.1.g.a \(0\) \(1\) \(0\) \(0\) \(q+q^{3}-q^{4}+q^{9}+q^{11}-q^{12}+q^{16}+\cdots\)
2343.1.g.c 2343.g 2343.g $2$ $1.169$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-2343}) \) None 2343.1.g.c \(0\) \(2\) \(0\) \(0\) \(q-\beta q^{2}+q^{3}+q^{4}-\beta q^{6}-\beta q^{7}+q^{9}+\cdots\)
2343.1.g.d 2343.g 2343.g $2$ $1.169$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-2343}) \) None 2343.1.g.c \(0\) \(2\) \(0\) \(0\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-\beta q^{7}+q^{9}+\cdots\)
2343.1.g.e 2343.g 2343.g $4$ $1.169$ \(\Q(\zeta_{16})^+\) $D_{8}$ \(\Q(\sqrt{-2343}) \) None 2343.1.g.e \(0\) \(-4\) \(0\) \(0\) \(q-\beta _{3}q^{2}-q^{3}+(1-\beta _{2})q^{4}+\beta _{3}q^{6}+\cdots\)
2343.1.g.f 2343.g 2343.g $4$ $1.169$ \(\Q(\zeta_{16})^+\) $D_{8}$ \(\Q(\sqrt{-2343}) \) None 2343.1.g.e \(0\) \(-4\) \(0\) \(0\) \(q+\beta _{3}q^{2}-q^{3}+(1-\beta _{2})q^{4}-\beta _{3}q^{6}+\cdots\)
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