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Results (6 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
899.1.c.a 899.c 899.c $3$ $0.449$ \(\Q(\zeta_{14})^+\) $D_{7}$ \(\Q(\sqrt{-899}) \) None \(0\) \(-1\) \(-1\) \(-1\) \(q-\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
899.1.c.b 899.c 899.c $3$ $0.449$ \(\Q(\zeta_{14})^+\) $D_{7}$ \(\Q(\sqrt{-899}) \) None \(0\) \(1\) \(-1\) \(-1\) \(q+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\beta _{1}+\cdots)q^{7}+\cdots\)
3596.1.h.a 3596.h 899.c $1$ $1.795$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-899}) \) None \(0\) \(-1\) \(2\) \(-1\) \(q-q^{3}+2q^{5}-q^{7}-q^{11}-2q^{15}+\cdots\)
3596.1.h.b 3596.h 899.c $1$ $1.795$ \(\Q\) $D_{3}$ \(\Q(\sqrt{-899}) \) None \(0\) \(1\) \(2\) \(-1\) \(q+q^{3}+2q^{5}-q^{7}+q^{11}+2q^{15}+\cdots\)
3596.1.h.c 3596.h 899.c $6$ $1.795$ \(\Q(\zeta_{21})^+\) $D_{21}$ \(\Q(\sqrt{-899}) \) None \(0\) \(-1\) \(-2\) \(1\) \(q+(-1+\beta _{1}-\beta _{3}+\beta _{5})q^{3}+(-1-\beta _{3}+\cdots)q^{5}+\cdots\)
3596.1.h.d 3596.h 899.c $6$ $1.795$ \(\Q(\zeta_{21})^+\) $D_{21}$ \(\Q(\sqrt{-899}) \) None \(0\) \(1\) \(-2\) \(1\) \(q+\beta _{4}q^{3}+\beta _{3}q^{5}+\beta _{2}q^{7}+(2-\beta _{1}+\cdots)q^{9}+\cdots\)
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