Learn more

Refine search


Results (1-50 of 58 matches)

Next   displayed columns for results
Label Char Prim Dim $A$ Field CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
729.1.f.a 729.f 27.f $6$ $0.364$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}q^{4}-\zeta_{18}^{8}q^{7}-\zeta_{18}^{4}q^{13}+\cdots\)
1083.1.l.a 1083.l 57.l $6$ $0.540$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(3\) \(q+\zeta_{18}^{8}q^{3}+\zeta_{18}^{4}q^{4}+\zeta_{18}^{3}q^{7}+\cdots\)
1083.1.l.b 1083.l 57.l $6$ $0.540$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{18}^{8}q^{3}+\zeta_{18}^{4}q^{4}+\zeta_{18}^{3}q^{7}+\cdots\)
1444.1.j.a 1444.j 19.f $6$ $0.721$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{18}^{8}q^{5}+\zeta_{18}^{3}q^{7}+\zeta_{18}^{4}q^{9}+\cdots\)
1444.1.j.b 1444.j 19.f $12$ $0.721$ 12.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(-6\) \(q+(-\beta _{5}+\beta _{11})q^{3}+(\beta _{2}-\beta _{8})q^{5}+(-1+\cdots)q^{7}+\cdots\)
1444.1.l.a 1444.l 76.l $12$ $0.721$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{3}+\beta _{9})q^{2}+(-\beta _{5}+\beta _{11})q^{4}+\cdots\)
1444.1.l.b 1444.l 76.l $12$ $0.721$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{3}-\beta _{9})q^{2}+(-\beta _{5}+\beta _{11})q^{4}+(\beta _{1}+\cdots)q^{5}+\cdots\)
2523.1.h.a 2523.h 87.h $6$ $1.259$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-87}) \) None \(-1\) \(1\) \(0\) \(1\) \(q+\zeta_{14}^{6}q^{2}-\zeta_{14}^{2}q^{3}+\zeta_{14}q^{6}-\zeta_{14}^{2}q^{7}+\cdots\)
2523.1.h.b 2523.h 87.h $6$ $1.259$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-87}) \) None \(1\) \(-1\) \(0\) \(1\) \(q-\zeta_{14}^{6}q^{2}+\zeta_{14}^{2}q^{3}+\zeta_{14}q^{6}-\zeta_{14}^{2}q^{7}+\cdots\)
2523.1.j.a 2523.j 87.j $12$ $1.259$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q+\beta _{5}q^{3}+(-1-\beta _{3}-\beta _{5}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
2523.1.j.c 2523.j 87.j $12$ $1.259$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q-\beta _{5}q^{3}+(-1-\beta _{3}-\beta _{5}+\beta _{7}+\beta _{9}+\cdots)q^{4}+\cdots\)
2527.1.x.a 2527.x 133.x $6$ $1.261$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{18}^{2}q^{4}+(-\zeta_{18}-\zeta_{18}^{4})q^{5}+\zeta_{18}^{3}q^{7}+\cdots\)
2527.1.y.b 2527.y 133.y $12$ $1.261$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(-6\) \(q+(-\beta _{1}+\beta _{7}-\beta _{9})q^{2}+(\beta _{4}+\beta _{10}+\cdots)q^{4}+\cdots\)
2527.1.y.c 2527.y 133.y $12$ $1.261$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(-6\) \(q+(\beta _{1}-\beta _{7}+\beta _{9})q^{2}+(\beta _{4}+\beta _{10}-\beta _{11})q^{4}+\cdots\)
2527.1.y.d 2527.y 133.y $12$ $1.261$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{36}^{16}q^{2}-\zeta_{36}q^{3}-\zeta_{36}^{13}q^{5}+\cdots\)
2527.1.y.e 2527.y 133.y $12$ $1.261$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{16}q^{2}-\zeta_{36}q^{3}+\zeta_{36}^{13}q^{5}+\cdots\)
2527.1.z.a 2527.z 133.z $6$ $1.261$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(-6\) \(q-\zeta_{18}^{4}q^{4}+(-\zeta_{18}^{2}+\zeta_{18}^{8})q^{5}+\cdots\)
2527.1.bd.a 2527.bd 133.ad $6$ $1.261$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(-3\) \(q-\zeta_{18}q^{4}-\zeta_{18}^{8}q^{5}+\zeta_{18}^{6}q^{7}-\zeta_{18}q^{9}+\cdots\)
2527.1.be.a 2527.be 133.ae $6$ $1.261$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(6\) \(q+\zeta_{18}^{8}q^{4}+\zeta_{18}q^{5}+q^{7}+\zeta_{18}^{2}q^{9}+\cdots\)
2888.1.s.a 2888.s 152.s $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-38}) \) None \(0\) \(0\) \(0\) \(3\) \(q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.s.b 2888.s 152.s $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-38}) \) None \(0\) \(0\) \(0\) \(3\) \(q+\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.u.c 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{5}q^{2}-\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2888.1.u.d 2888.u 152.u $6$ $1.441$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{5}q^{2}+\zeta_{18}^{2}q^{3}-\zeta_{18}q^{4}+\zeta_{18}^{7}q^{6}+\cdots\)
2916.1.j.d 2916.j 108.j $6$ $1.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}-\zeta_{18}^{2}q^{5}+\cdots\)
2916.1.j.e 2916.j 108.j $6$ $1.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{4}q^{2}+\zeta_{18}^{8}q^{4}+\zeta_{18}^{2}q^{5}+\cdots\)
2916.1.k.a 2916.k 27.f $6$ $1.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{7}+\zeta_{18}^{4}q^{13}+\zeta_{18}^{6}q^{19}+\cdots\)
2916.1.k.b 2916.k 27.f $6$ $1.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{8}q^{7}-\zeta_{18}^{4}q^{13}-\zeta_{18}^{6}q^{19}+\cdots\)
2916.1.k.c 2916.k 27.f $6$ $1.455$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{7}-\zeta_{18}^{4}q^{13}-\zeta_{18}^{6}q^{19}+\cdots\)
3249.1.ba.a 3249.ba 19.f $6$ $1.621$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-3\) \(q-\zeta_{18}^{7}q^{4}-\zeta_{18}^{3}q^{7}+(\zeta_{18}-\zeta_{18}^{7}+\cdots)q^{13}+\cdots\)
3249.1.ba.b 3249.ba 19.f $6$ $1.621$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-3\) \(q-\zeta_{18}^{7}q^{4}-\zeta_{18}^{3}q^{7}+(-\zeta_{18}+\zeta_{18}^{7}+\cdots)q^{13}+\cdots\)
3249.1.bc.a 3249.bc 171.ac $12$ $1.621$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(-6\) \(q+\zeta_{36}^{11}q^{2}+\zeta_{36}^{5}q^{3}+\zeta_{36}^{8}q^{5}+\cdots\)
3249.1.be.a 3249.be 171.ae $12$ $1.621$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(12\) \(q-\zeta_{36}q^{2}+\zeta_{36}q^{3}-\zeta_{36}^{10}q^{5}-\zeta_{36}^{2}q^{6}+\cdots\)
3364.1.h.a 3364.h 116.h $6$ $1.679$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-29}) \) None \(-1\) \(1\) \(1\) \(0\) \(q+\zeta_{14}^{2}q^{2}+\zeta_{14}^{3}q^{3}+\zeta_{14}^{4}q^{4}+\cdots\)
3364.1.h.b 3364.h 116.h $6$ $1.679$ \(\Q(\zeta_{14})\) \(\Q(\sqrt{-29}) \) None \(1\) \(-1\) \(1\) \(0\) \(q-\zeta_{14}^{2}q^{2}-\zeta_{14}^{3}q^{3}+\zeta_{14}^{4}q^{4}+\cdots\)
3645.1.n.d 3645.n 135.n $6$ $1.819$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{18}^{8}q^{2}+\zeta_{18}^{4}q^{5}+\zeta_{18}^{6}q^{8}+\cdots\)
3645.1.n.e 3645.n 135.n $6$ $1.819$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{18}^{8}q^{2}-\zeta_{18}^{4}q^{5}-\zeta_{18}^{6}q^{8}+\cdots\)
3971.1.q.b 3971.q 209.q $12$ $1.982$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{4}q^{3}+\beta _{3}q^{4}+(\beta _{4}+\beta _{10})q^{5}+(\beta _{1}+\cdots)q^{9}+\cdots\)
3971.1.q.c 3971.q 209.q $12$ $1.982$ 12.0.\(\cdots\).1 \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\beta _{4}-\beta _{5})q^{3}+\beta _{3}q^{4}+(-\beta _{4}-\beta _{10}+\cdots)q^{5}+\cdots\)
3971.1.q.d 3971.q 209.q $12$ $1.982$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{11}q^{2}-\zeta_{36}^{8}q^{3}-\zeta_{36}^{14}q^{5}+\cdots\)
3971.1.q.e 3971.q 209.q $12$ $1.982$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{36}^{11}q^{2}+\zeta_{36}^{8}q^{3}-\zeta_{36}^{14}q^{5}+\cdots\)
361.2.e.c 361.e 19.e $6$ $2.883$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(-9\) $\mathrm{U}(1)[D_{9}]$ \(q+2\zeta_{18}^{5}q^{4}-\zeta_{18}^{4}q^{5}+(-3+3\zeta_{18}^{3}+\cdots)q^{7}+\cdots\)
361.2.e.m 361.e 19.e $24$ $2.883$ None None \(0\) \(0\) \(0\) \(24\) $\mathrm{SU}(2)[C_{9}]$
729.2.e.d 729.e 27.e $6$ $5.821$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{9}]$ \(q+2\zeta_{18}^{5}q^{4}+5\zeta_{18}^{4}q^{7}+2\zeta_{18}^{2}q^{13}+\cdots\)
729.2.e.e 729.e 27.e $6$ $5.821$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{9}]$ \(q+2\zeta_{18}^{5}q^{4}-4\zeta_{18}^{4}q^{7}-7\zeta_{18}^{2}q^{13}+\cdots\)
729.2.e.f 729.e 27.e $6$ $5.821$ \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) $\mathrm{U}(1)[D_{9}]$ \(q+2\zeta_{18}^{5}q^{4}-\zeta_{18}^{4}q^{7}+5\zeta_{18}^{2}q^{13}+\cdots\)
729.2.e.n 729.e 27.e $12$ $5.821$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{9}]$ \(q-\zeta_{36}^{8}q^{2}+(-\zeta_{36}^{2}+\zeta_{36}^{7})q^{4}+\cdots\)
729.2.e.o 729.e 27.e $12$ $5.821$ \(\Q(\zeta_{36})\) None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{9}]$ \(q-\zeta_{36}^{8}q^{2}+(-\zeta_{36}^{2}+\zeta_{36}^{7})q^{4}+\cdots\)
729.2.e.p 729.e 27.e $12$ $5.821$ 12.0.\(\cdots\).1 None None \(0\) \(0\) \(0\) \(0\) $\mathrm{SU}(2)[C_{9}]$ \(q+\beta _{4}q^{2}+4\beta _{5}q^{4}+\beta _{11}q^{5}-2\beta _{7}q^{7}+\cdots\)
841.2.d.h 841.d 29.d $12$ $6.715$ 12.0.\(\cdots\).1 None None \(0\) \(0\) \(-6\) \(-4\) $\mathrm{SU}(2)[C_{7}]$ \(q+\beta _{6}q^{2}-\beta _{9}q^{3}+3\beta _{5}q^{4}+3\beta _{3}q^{5}+\cdots\)
841.2.e.g 841.e 29.e $12$ $6.715$ 12.0.\(\cdots\).3 None None \(0\) \(0\) \(6\) \(-4\) $\mathrm{SU}(2)[C_{14}]$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+3\beta _{2}q^{4}-3\beta _{8}q^{5}+\cdots\)
Next   displayed columns for results