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Results (22 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
183.1.d.a 183.d 183.d $1$ $0.091$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-183}) \) \(\Q(\sqrt{61}) \) \(0\) \(1\) \(0\) \(0\) \(q+q^{3}-q^{4}+q^{9}-q^{12}-2q^{13}+q^{16}+\cdots\)
793.1.m.a 793.m 793.m $2$ $0.396$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{61}) \) \(0\) \(0\) \(2\) \(0\) \(q+iq^{4}+(1+i)q^{5}-q^{9}+q^{13}-q^{16}+\cdots\)
793.1.bn.a 793.bn 793.an $4$ $0.396$ \(\Q(\zeta_{12})\) $D_{12}$ None \(\Q(\sqrt{61}) \) \(0\) \(0\) \(-2\) \(0\) \(q+(-\zeta_{12}-\zeta_{12}^{3})q^{3}+\zeta_{12}q^{4}+(\zeta_{12}^{4}+\cdots)q^{5}+\cdots\)
915.1.e.a 915.e 915.e $1$ $0.457$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-915}) \) \(\Q(\sqrt{61}) \) \(0\) \(-1\) \(1\) \(0\) \(q-q^{3}+q^{4}+q^{5}+q^{9}-q^{12}-q^{15}+\cdots\)
915.1.e.b 915.e 915.e $1$ $0.457$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-15}) \), \(\Q(\sqrt{-915}) \) \(\Q(\sqrt{61}) \) \(0\) \(1\) \(-1\) \(0\) \(q+q^{3}+q^{4}-q^{5}+q^{9}+q^{12}-q^{15}+\cdots\)
976.1.e.a 976.e 244.c $1$ $0.487$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-61}) \) \(\Q(\sqrt{61}) \) \(0\) \(0\) \(-2\) \(0\) \(q-2q^{5}+q^{9}+2q^{13}+3q^{25}+2q^{41}+\cdots\)
1159.1.d.a 1159.d 1159.d $1$ $0.578$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-19}) \), \(\Q(\sqrt{-1159}) \) \(\Q(\sqrt{61}) \) \(0\) \(0\) \(-2\) \(0\) \(q-q^{4}-2q^{5}+q^{9}+q^{16}+q^{19}+2q^{20}+\cdots\)
2196.1.bl.a 2196.bl 549.o $2$ $1.096$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{61}) \) \(0\) \(-1\) \(3\) \(0\) \(q+\zeta_{6}^{2}q^{3}+(1-\zeta_{6}^{2})q^{5}-\zeta_{6}q^{9}-\zeta_{6}q^{13}+\cdots\)
2379.1.e.a 2379.e 2379.e $1$ $1.187$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-2379}) \) \(\Q(\sqrt{61}) \) \(0\) \(-1\) \(-2\) \(0\) \(q-q^{3}+q^{4}-2q^{5}+q^{9}-q^{12}-q^{13}+\cdots\)
2379.1.e.d 2379.e 2379.e $1$ $1.187$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-39}) \), \(\Q(\sqrt{-2379}) \) \(\Q(\sqrt{61}) \) \(0\) \(-1\) \(2\) \(0\) \(q-q^{3}+q^{4}+2q^{5}+q^{9}-q^{12}-q^{13}+\cdots\)
2379.1.be.b 2379.be 2379.ae $2$ $1.187$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{61}) \) \(0\) \(-1\) \(0\) \(0\) \(q-\zeta_{6}q^{3}+\zeta_{6}q^{4}+(\zeta_{6}+\zeta_{6}^{2})q^{5}+\zeta_{6}^{2}q^{9}+\cdots\)
2379.1.be.c 2379.be 2379.ae $2$ $1.187$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{61}) \) \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+\zeta_{6}q^{4}+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+q^{9}+\cdots\)
2379.1.bw.b 2379.bw 2379.aw $2$ $1.187$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{61}) \) \(0\) \(-2\) \(-2\) \(0\) \(q-q^{3}+\zeta_{6}^{2}q^{4}-q^{5}+q^{9}-\zeta_{6}^{2}q^{12}+\cdots\)
2379.1.bw.c 2379.bw 2379.aw $2$ $1.187$ \(\Q(\sqrt{-3}) \) $D_{6}$ None \(\Q(\sqrt{61}) \) \(0\) \(1\) \(2\) \(0\) \(q-\zeta_{6}^{2}q^{3}+\zeta_{6}^{2}q^{4}+q^{5}-\zeta_{6}q^{9}+\cdots\)
2501.1.v.a 2501.v 2501.v $4$ $1.248$ \(\Q(\zeta_{8})\) $D_{8}$ None \(\Q(\sqrt{61}) \) \(0\) \(-4\) \(0\) \(0\) \(q+(-1-\zeta_{8}^{3})q^{3}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{5}+\cdots\)
2867.1.b.a 2867.b 2867.b $1$ $1.431$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-47}) \), \(\Q(\sqrt{-2867}) \) \(\Q(\sqrt{61}) \) \(0\) \(-2\) \(0\) \(0\) \(q-2q^{3}+q^{4}+3q^{9}-2q^{12}+q^{16}+\cdots\)
2928.1.e.a 2928.e 183.d $1$ $1.461$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-183}) \) \(\Q(\sqrt{61}) \) \(0\) \(-1\) \(0\) \(0\) \(q-q^{3}+q^{9}-2q^{13}+2q^{19}+q^{25}+\cdots\)
3904.1.e.c 3904.e 244.c $1$ $1.948$ \(\Q\) $D_{2}$ \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-61}) \) \(\Q(\sqrt{61}) \) \(0\) \(0\) \(2\) \(0\) \(q+2q^{5}+q^{9}-2q^{13}+3q^{25}+2q^{41}+\cdots\)
3965.1.u.a 3965.u 3965.u $2$ $1.979$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{61}) \) \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-iq^{4}+iq^{5}-3q^{9}+2q^{12}+\cdots\)
3965.1.u.b 3965.u 3965.u $2$ $1.979$ \(\Q(\sqrt{-1}) \) $D_{4}$ None \(\Q(\sqrt{61}) \) \(0\) \(0\) \(2\) \(0\) \(q-iq^{3}-iq^{4}+q^{5}-3q^{9}-2q^{12}+\cdots\)
3965.1.gd.a 3965.gd 3965.fd $4$ $1.979$ \(\Q(\zeta_{12})\) $D_{12}$ None \(\Q(\sqrt{61}) \) \(0\) \(0\) \(-2\) \(0\) \(q+\zeta_{12}^{5}q^{3}-\zeta_{12}q^{4}+\zeta_{12}^{4}q^{5}+q^{12}+\cdots\)
3965.1.gd.b 3965.gd 3965.fd $4$ $1.979$ \(\Q(\zeta_{12})\) $D_{12}$ None \(\Q(\sqrt{61}) \) \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{12}^{5}q^{3}-\zeta_{12}q^{4}+\zeta_{12}^{5}q^{5}-q^{12}+\cdots\)
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