## Results (1-50 of 208 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1764.1.d.a $2$ $0.880$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{13}+(\zeta_{6}+\zeta_{6}^{2})q^{19}+\cdots$$
1764.1.g.a $1$ $0.880$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{7})$$ $$1$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{16}-q^{25}+2q^{29}+\cdots$$
1764.1.g.b $2$ $0.880$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-\beta q^{5}-q^{8}+\beta q^{10}-\beta q^{13}+\cdots$$
1764.1.g.c $2$ $0.880$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-21})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+iq^{11}+q^{16}+\cdots$$
1764.1.g.d $2$ $0.880$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}-\beta q^{5}+q^{8}-\beta q^{10}+\beta q^{13}+\cdots$$
1764.1.h.a $8$ $0.880$ $$\Q(\zeta_{16})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{16}^{4}q^{2}-q^{4}+(\zeta_{16}^{3}-\zeta_{16}^{5})q^{5}+\cdots$$
1764.1.q.a $8$ $0.880$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{9}q^{8}+\cdots$$
1764.1.q.b $16$ $0.880$ $$\Q(\zeta_{48})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{48}^{20}q^{2}-\zeta_{48}^{16}q^{4}+(-\zeta_{48}^{5}+\cdots)q^{5}+\cdots$$
1764.1.y.a $2$ $0.880$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-7})$$ $$\Q(\sqrt{7})$$ $$-1$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{6}q^{2}+\zeta_{6}^{2}q^{4}+q^{8}-\zeta_{6}q^{16}+\cdots$$
1764.1.y.b $4$ $0.880$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots$$
1764.1.y.c $4$ $0.880$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-7})$$, $$\Q(\sqrt{-21})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}-\zeta_{12}^{3}q^{8}+\zeta_{12}^{5}q^{11}+\cdots$$
1764.1.y.d $4$ $0.880$ $$\Q(\sqrt{2}, \sqrt{-3})$$ $$\Q(\sqrt{-1})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-1-\beta _{2})q^{4}+(-\beta _{1}-\beta _{3})q^{5}+\cdots$$
1764.1.z.a $2$ $0.880$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(1+\zeta_{6})q^{19}+\cdots$$
1764.1.co.a $12$ $0.880$ $$\Q(\zeta_{21})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{42}^{16}q^{7}+(-\zeta_{42}^{8}+\zeta_{42}^{10})q^{13}+\cdots$$
1764.2.a.a $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$-3$$ $$0$$ $+$ $$q-3q^{5}+3q^{11}+2q^{13}-3q^{17}-q^{19}+\cdots$$
1764.2.a.b $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-2q^{5}-2q^{11}-4q^{13}-6q^{17}+8q^{19}+\cdots$$
1764.2.a.c $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$-2$$ $$0$$ $-$ $$q-2q^{5}-2q^{11}+3q^{13}+8q^{17}+q^{19}+\cdots$$
1764.2.a.d $1$ $14.086$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-5q^{13}+q^{19}-5q^{25}-11q^{31}+\cdots$$
1764.2.a.e $1$ $14.086$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-2q^{13}-8q^{19}-5q^{25}+4q^{31}+\cdots$$
1764.2.a.f $1$ $14.086$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+5q^{13}-q^{19}-5q^{25}+11q^{31}+\cdots$$
1764.2.a.g $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+6q^{11}-2q^{13}+4q^{19}+6q^{23}+\cdots$$
1764.2.a.h $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $+$ $$q+2q^{5}-2q^{11}-3q^{13}-8q^{17}-q^{19}+\cdots$$
1764.2.a.i $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$2$$ $$0$$ $-$ $$q+2q^{5}-2q^{11}+4q^{13}+6q^{17}-8q^{19}+\cdots$$
1764.2.a.j $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$3$$ $$0$$ $-$ $$q+3q^{5}+3q^{11}-2q^{13}+3q^{17}+q^{19}+\cdots$$
1764.2.a.k $1$ $14.086$ $$\Q$$ None None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+4q^{5}-2q^{11}+6q^{13}-4q^{17}+4q^{19}+\cdots$$
1764.2.a.l $2$ $14.086$ $$\Q(\sqrt{2})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q+\beta q^{5}-4q^{11}-3\beta q^{13}+\beta q^{17}+\cdots$$
1764.2.a.m $4$ $14.086$ $$\Q(\sqrt{2}, \sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta _{2}q^{5}-\beta _{3}q^{11}-3\beta _{1}q^{13}+\beta _{2}q^{17}+\cdots$$
1764.2.b.a $4$ $14.086$ $$\Q(\zeta_{12})$$ None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+(-1+\zeta_{12})q^{2}-2\zeta_{12}q^{4}-\zeta_{12}^{2}q^{5}+\cdots$$
1764.2.b.b $4$ $14.086$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None None $$-2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+(-2-\beta _{2})q^{4}+\beta _{3}q^{5}+(2+\cdots)q^{8}+\cdots$$
1764.2.b.c $4$ $14.086$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{3}q^{2}+(1-\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots$$
1764.2.b.d $4$ $14.086$ $$\Q(\sqrt{-2}, \sqrt{-3})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{3}q^{2}+(1-\beta _{2})q^{4}+(\beta _{1}-\beta _{3})q^{5}+\cdots$$
1764.2.b.e $4$ $14.086$ 4.0.2048.2 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+2q^{4}+(\beta _{1}+2\beta _{3})q^{5}+2\beta _{2}q^{8}+\cdots$$
1764.2.b.f $4$ $14.086$ 4.0.2048.2 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{2}q^{2}+2q^{4}+\beta _{1}q^{5}+2\beta _{2}q^{8}+\cdots$$
1764.2.b.g $4$ $14.086$ 4.0.2048.2 $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+2q^{4}+(\beta _{1}+2\beta _{3})q^{5}-2\beta _{2}q^{8}+\cdots$$
1764.2.b.h $4$ $14.086$ $$\Q(\sqrt{-3}, \sqrt{-7})$$ None None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{2}+(-2-\beta _{2})q^{4}+\beta _{3}q^{5}+(-2+\cdots)q^{8}+\cdots$$
1764.2.b.i $8$ $14.086$ 8.0.562828176.1 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}+(\beta _{2}-\beta _{5})q^{5}+(\beta _{3}+\cdots)q^{8}+\cdots$$
1764.2.b.j $8$ $14.086$ 8.0.562828176.1 None None $$2$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{4}q^{2}+\beta _{6}q^{4}+(\beta _{2}-\beta _{6})q^{5}+(-1+\cdots)q^{8}+\cdots$$
1764.2.b.k $8$ $14.086$ 8.0.$$\cdots$$.10 None None $$4$$ $$0$$ $$0$$ $$0$$ $$q+(1+\beta _{3})q^{2}+(1+\beta _{3}+\beta _{5}-\beta _{6})q^{4}+\cdots$$
1764.2.b.l $12$ $14.086$ 12.0.$$\cdots$$.1 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+(\beta _{5}+\beta _{6})q^{4}+(1-\beta _{1}+\beta _{6}+\cdots)q^{5}+\cdots$$
1764.2.b.m $12$ $14.086$ 12.0.$$\cdots$$.1 None None $$-4$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{4}q^{2}+(-\beta _{2}-\beta _{11})q^{4}+(-1+\beta _{3}+\cdots)q^{5}+\cdots$$
1764.2.b.n $16$ $14.086$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{7}q^{2}+(-1+\beta _{1}-\beta _{10})q^{4}+\beta _{12}q^{5}+\cdots$$
1764.2.e.a $2$ $14.086$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{2}-2q^{4}+3\beta q^{5}-2\beta q^{8}-6q^{10}+\cdots$$
1764.2.e.b $2$ $14.086$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{2}-2q^{4}+\beta q^{5}-2\beta q^{8}-2q^{10}+\cdots$$
1764.2.e.c $2$ $14.086$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta q^{2}-2q^{4}+3\beta q^{5}+2\beta q^{8}+6q^{10}+\cdots$$
1764.2.e.d $4$ $14.086$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{2}-2q^{4}+2\zeta_{8}q^{5}+2\zeta_{8}^{2}q^{8}+\cdots$$
1764.2.e.e $4$ $14.086$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{2}q^{2}-2q^{4}-\zeta_{8}q^{5}-2\zeta_{8}^{2}q^{8}+\cdots$$
1764.2.e.f $8$ $14.086$ 8.0.157351936.1 $$\Q(\sqrt{-7})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}-\beta _{1}q^{4}-\beta _{5}q^{8}+(\beta _{5}+\beta _{6}+\cdots)q^{11}+\cdots$$
1764.2.e.g $12$ $14.086$ 12.0.$$\cdots$$.1 None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{6}q^{2}+(1+\beta _{10})q^{4}-\beta _{4}q^{5}+(\beta _{6}+\cdots)q^{8}+\cdots$$
1764.2.e.h $16$ $14.086$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{5}q^{5}+(\beta _{3}-\beta _{5}+\cdots)q^{8}+\cdots$$
1764.2.e.i $16$ $14.086$ $$\mathbb{Q}[x]/(x^{16} + \cdots)$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{2}+\beta _{2}q^{4}-\beta _{5}q^{5}+(-\beta _{3}+\beta _{5}+\cdots)q^{8}+\cdots$$