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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
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
687.1.d.b 687.d 687.d $1$ $0.343$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-687}) \) \(\Q(\sqrt{229}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}-q^{4}+q^{9}+q^{12}+q^{16}+2q^{19}+\cdots\)
687.1.d.e 687.d 687.d $2$ $0.343$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{229}) \) \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{6}^{2}q^{3}-q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+\cdots\)
1145.1.h.a 1145.h 1145.h $2$ $0.571$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{229}) \) \(0\) \(-2\) \(0\) \(0\) \(q+(-1-i)q^{3}-iq^{4}+iq^{5}+iq^{9}+\cdots\)
1145.1.h.b 1145.h 1145.h $4$ $0.571$ \(\Q(\zeta_{12})\) $D_{12}$ None \(\Q(\sqrt{229}) \) \(0\) \(2\) \(0\) \(0\) \(q+(-\zeta_{12}+\zeta_{12}^{2})q^{3}+\zeta_{12}^{3}q^{4}+\zeta_{12}q^{5}+\cdots\)
2519.1.d.a 2519.d 2519.d $1$ $1.257$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-11}) \), \(\Q(\sqrt{-2519}) \) \(\Q(\sqrt{229}) \) \(0\) \(-2\) \(2\) \(0\) \(q-2q^{3}-q^{4}+2q^{5}+3q^{9}+q^{11}+\cdots\)
2519.1.d.c 2519.d 2519.d $2$ $1.257$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{229}) \) \(0\) \(2\) \(-2\) \(0\) \(q+q^{3}-q^{4}-q^{5}+\zeta_{6}^{2}q^{11}-q^{12}+\cdots\)
3435.1.e.a 3435.e 3435.e $1$ $1.714$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3435}) \) \(\Q(\sqrt{229}) \) \(0\) \(-1\) \(-1\) \(0\) \(q-q^{3}+q^{4}-q^{5}+q^{9}-q^{12}+q^{15}+\cdots\)
3435.1.e.b 3435.e 3435.e $1$ $1.714$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-3435}) \) \(\Q(\sqrt{229}) \) \(0\) \(1\) \(1\) \(0\) \(q+q^{3}+q^{4}+q^{5}+q^{9}+q^{12}+q^{15}+\cdots\)
3435.1.e.d 3435.e 3435.e $2$ $1.714$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{229}) \) \(0\) \(-1\) \(-1\) \(0\) \(q+\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\cdots\)
3435.1.e.e 3435.e 3435.e $2$ $1.714$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{229}) \) \(0\) \(1\) \(1\) \(0\) \(q-\zeta_{6}^{2}q^{3}+q^{4}+\zeta_{6}q^{5}-\zeta_{6}q^{9}+(\zeta_{6}+\cdots)q^{11}+\cdots\)
3664.1.e.a 3664.e 916.c $1$ $1.829$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-229}) \) \(\Q(\sqrt{229}) \) \(0\) \(0\) \(2\) \(0\) \(q+2q^{5}+q^{9}-2q^{17}+3q^{25}+2q^{37}+\cdots\)
3664.1.e.b 3664.e 916.c $2$ $1.829$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{229}) \) \(0\) \(0\) \(-2\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{3}-q^{5}+(-1-\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{9}+\cdots\)
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