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Results (18 matches)

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Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
451.1.b.a 451.b 451.b $1$ $0.225$ \(\Q\) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(-1\) \(-1\) \(q+q^{4}-q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
451.1.b.b 451.b 451.b $1$ $0.225$ \(\Q\) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(-1\) \(1\) \(q+q^{4}-q^{5}+q^{7}+q^{9}-q^{11}-2q^{13}+\cdots\)
1804.1.e.a 1804.e 451.b $3$ $0.900$ \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}-\beta _{2})q^{5}+\beta _{1}q^{7}+q^{9}-q^{11}+\cdots\)
1804.1.e.b 1804.e 451.b $3$ $0.900$ \(\Q(\zeta_{18})^+\) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{1}-\beta _{2})q^{5}-\beta _{1}q^{7}+q^{9}+q^{11}+\cdots\)
2255.1.h.a 2255.h 2255.h $1$ $1.125$ \(\Q\) \(\Q(\sqrt{-451}) \), \(\Q(\sqrt{-2255}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-q^{4}-q^{5}-q^{9}-q^{11}+q^{16}+2q^{19}+\cdots\)
2255.1.h.b 2255.h 2255.h $1$ $1.125$ \(\Q\) \(\Q(\sqrt{-451}) \), \(\Q(\sqrt{-2255}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(-1\) \(0\) \(q-q^{4}-q^{5}-q^{9}+q^{11}+q^{16}-2q^{19}+\cdots\)
2255.1.h.e 2255.h 2255.h $2$ $1.125$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(1\) \(0\) \(q-q^{4}+\zeta_{6}q^{5}+(-\zeta_{6}-\zeta_{6}^{2})q^{7}-q^{9}+\cdots\)
2255.1.h.f 2255.h 2255.h $2$ $1.125$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(1\) \(0\) \(q-q^{4}-\zeta_{6}^{2}q^{5}+(-\zeta_{6}-\zeta_{6}^{2})q^{7}+\cdots\)
3157.1.y.a 3157.y 3157.y $2$ $1.576$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(-2\) \(-1\) \(q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}+\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
3157.1.y.b 3157.y 3157.y $2$ $1.576$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(-2\) \(1\) \(q+\zeta_{6}^{2}q^{4}-\zeta_{6}q^{5}-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{9}+\cdots\)
3157.1.y.c 3157.y 3157.y $2$ $1.576$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(1\) \(-2\) \(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}-q^{7}-\zeta_{6}q^{9}-\zeta_{6}^{2}q^{11}+\cdots\)
3157.1.y.d 3157.y 3157.y $2$ $1.576$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(1\) \(-1\) \(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
3157.1.y.e 3157.y 3157.y $2$ $1.576$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(1\) \(1\) \(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+\zeta_{6}q^{7}-\zeta_{6}q^{9}+\cdots\)
3157.1.y.f 3157.y 3157.y $2$ $1.576$ \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(1\) \(2\) \(q+\zeta_{6}^{2}q^{4}+\zeta_{6}q^{5}+q^{7}-\zeta_{6}q^{9}+\zeta_{6}^{2}q^{11}+\cdots\)
451.3.b.a 451.b 451.b $3$ $12.289$ 3.3.12177.1 \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+(2\beta _{1}-\beta _{2})q^{7}+\cdots\)
451.3.b.b 451.b 451.b $3$ $12.289$ 3.3.12177.1 \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+4q^{4}+(\beta _{1}+\beta _{2})q^{5}+(-2\beta _{1}+\beta _{2})q^{7}+\cdots\)
1804.3.e.a 1804.e 451.b $6$ $49.155$ 6.6.\(\cdots\).2 \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{5}q^{5}+(-\beta _{2}+\beta _{3})q^{7}+9q^{9}-11q^{11}+\cdots\)
1804.3.e.b 1804.e 451.b $6$ $49.155$ 6.6.\(\cdots\).2 \(\Q(\sqrt{-451}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{2}]$ \(q+\beta _{2}q^{5}+(-\beta _{1}+\beta _{4})q^{7}+9q^{9}+11q^{11}+\cdots\)
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