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Results (12 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
3783.1.g.a 3783.g 3783.g $1$ $1.888$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-3783}) \) None \(-1\) \(1\) \(0\) \(-1\) \(q-q^{2}+q^{3}-q^{6}-q^{7}+q^{8}+q^{9}+\cdots\)
3783.1.g.b 3783.g 3783.g $1$ $1.888$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-3783}) \) None \(-1\) \(1\) \(0\) \(1\) \(q-q^{2}+q^{3}-q^{6}+q^{7}+q^{8}+q^{9}+\cdots\)
3783.1.g.c 3783.g 3783.g $1$ $1.888$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3783}) \) \(\Q(\sqrt{1261}) \) \(0\) \(1\) \(0\) \(-2\) \(q+q^{3}-q^{4}-2q^{7}+q^{9}-q^{12}-q^{13}+\cdots\)
3783.1.g.d 3783.g 3783.g $1$ $1.888$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-3783}) \) \(\Q(\sqrt{1261}) \) \(0\) \(1\) \(0\) \(2\) \(q+q^{3}-q^{4}+2q^{7}+q^{9}-q^{12}+q^{13}+\cdots\)
3783.1.g.e 3783.g 3783.g $1$ $1.888$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-3783}) \) None \(1\) \(1\) \(0\) \(-1\) \(q+q^{2}+q^{3}+q^{6}-q^{7}-q^{8}+q^{9}+\cdots\)
3783.1.g.f 3783.g 3783.g $1$ $1.888$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-3783}) \) None \(1\) \(1\) \(0\) \(1\) \(q+q^{2}+q^{3}+q^{6}+q^{7}-q^{8}+q^{9}+\cdots\)
3783.1.g.g 3783.g 3783.g $2$ $1.888$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-3783}) \) None \(0\) \(-2\) \(0\) \(-4\) \(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{6}-2q^{7}+q^{9}+\cdots\)
3783.1.g.h 3783.g 3783.g $2$ $1.888$ \(\Q(\sqrt{2}) \) $D_{4}$ \(\Q(\sqrt{-3783}) \) None \(0\) \(-2\) \(0\) \(4\) \(q-\beta q^{2}-q^{3}+q^{4}+\beta q^{6}+2q^{7}+q^{9}+\cdots\)
3783.1.g.i 3783.g 3783.g $2$ $1.888$ \(\Q(\sqrt{3}) \) $D_{6}$ \(\Q(\sqrt{-3783}) \) None \(0\) \(2\) \(0\) \(-2\) \(q-\beta q^{2}+q^{3}+2q^{4}-\beta q^{6}-q^{7}-\beta q^{8}+\cdots\)
3783.1.g.j 3783.g 3783.g $2$ $1.888$ \(\Q(\sqrt{3}) \) $D_{6}$ \(\Q(\sqrt{-3783}) \) None \(0\) \(2\) \(0\) \(2\) \(q-\beta q^{2}+q^{3}+2q^{4}-\beta q^{6}+q^{7}-\beta q^{8}+\cdots\)
3783.1.g.k 3783.g 3783.g $4$ $1.888$ \(\Q(\zeta_{24})^+\) $D_{12}$ \(\Q(\sqrt{-3783}) \) None \(0\) \(-4\) \(0\) \(-4\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
3783.1.g.l 3783.g 3783.g $4$ $1.888$ \(\Q(\zeta_{24})^+\) $D_{12}$ \(\Q(\sqrt{-3783}) \) None \(0\) \(-4\) \(0\) \(4\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
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