## Results (29 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 2 3 7 19
6384.2.a.c $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$-4$$ $$1$$ $-$ $+$ $-$ $-$ $$q-q^{3}-4q^{5}+q^{7}+q^{9}+6q^{11}-4q^{13}+\cdots$$
6384.2.a.d $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$-2$$ $$-1$$ $-$ $+$ $+$ $+$ $$q-q^{3}-2q^{5}-q^{7}+q^{9}+2q^{11}-6q^{13}+\cdots$$
6384.2.a.f $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$-2$$ $$-1$$ $+$ $+$ $+$ $-$ $$q-q^{3}-2q^{5}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$$
6384.2.a.i $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $-$ $+$ $+$ $+$ $$q-q^{3}-q^{7}+q^{9}-6q^{11}-4q^{13}+\cdots$$
6384.2.a.j $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$0$$ $$-1$$ $+$ $+$ $+$ $-$ $$q-q^{3}-q^{7}+q^{9}-2q^{13}-8q^{17}+\cdots$$
6384.2.a.n $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$2$$ $$1$$ $-$ $+$ $-$ $-$ $$q-q^{3}+2q^{5}+q^{7}+q^{9}+2q^{13}-2q^{15}+\cdots$$
6384.2.a.o $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$2$$ $$1$$ $+$ $+$ $-$ $+$ $$q-q^{3}+2q^{5}+q^{7}+q^{9}+6q^{11}-2q^{13}+\cdots$$
6384.2.a.p $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$4$$ $$-1$$ $-$ $+$ $+$ $+$ $$q-q^{3}+4q^{5}-q^{7}+q^{9}+2q^{11}-4q^{15}+\cdots$$
6384.2.a.q $1$ $50.976$ $$\Q$$ None $$0$$ $$-1$$ $$4$$ $$1$$ $-$ $+$ $-$ $-$ $$q-q^{3}+4q^{5}+q^{7}+q^{9}+2q^{11}+4q^{13}+\cdots$$
6384.2.a.t $1$ $50.976$ $$\Q$$ None $$0$$ $$1$$ $$-2$$ $$1$$ $-$ $-$ $-$ $+$ $$q+q^{3}-2q^{5}+q^{7}+q^{9}-2q^{11}-6q^{13}+\cdots$$
6384.2.a.w $1$ $50.976$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $+$ $-$ $+$ $+$ $$q+q^{3}-q^{7}+q^{9}-2q^{11}-4q^{13}+\cdots$$
6384.2.a.y $1$ $50.976$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$-1$$ $+$ $-$ $+$ $+$ $$q+q^{3}-q^{7}+q^{9}+4q^{11}+2q^{13}+\cdots$$
6384.2.a.bd $1$ $50.976$ $$\Q$$ None $$0$$ $$1$$ $$0$$ $$1$$ $-$ $-$ $-$ $+$ $$q+q^{3}+q^{7}+q^{9}+2q^{11}+6q^{13}+\cdots$$
6384.2.a.bg $1$ $50.976$ $$\Q$$ None $$0$$ $$1$$ $$2$$ $$1$$ $+$ $-$ $-$ $-$ $$q+q^{3}+2q^{5}+q^{7}+q^{9}+4q^{11}-6q^{13}+\cdots$$
6384.2.a.bh $2$ $50.976$ $$\Q(\sqrt{2})$$ None $$0$$ $$-2$$ $$-4$$ $$2$$ $+$ $+$ $-$ $+$ $$q-q^{3}+(-2+\beta )q^{5}+q^{7}+q^{9}-2\beta q^{11}+\cdots$$
6384.2.a.bj $2$ $50.976$ $$\Q(\sqrt{3})$$ None $$0$$ $$-2$$ $$-2$$ $$2$$ $-$ $+$ $-$ $-$ $$q-q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+2\beta q^{11}+\cdots$$
6384.2.a.bm $2$ $50.976$ $$\Q(\sqrt{5})$$ None $$0$$ $$2$$ $$-2$$ $$-2$$ $-$ $-$ $+$ $-$ $$q+q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+2q^{11}+\cdots$$
6384.2.a.bn $2$ $50.976$ $$\Q(\sqrt{5})$$ None $$0$$ $$2$$ $$-2$$ $$-2$$ $-$ $-$ $+$ $-$ $$q+q^{3}+(-1-\beta )q^{5}-q^{7}+q^{9}+2q^{11}+\cdots$$
6384.2.a.bo $2$ $50.976$ $$\Q(\sqrt{7})$$ None $$0$$ $$2$$ $$-2$$ $$2$$ $-$ $-$ $-$ $+$ $$q+q^{3}+(-1+\beta )q^{5}+q^{7}+q^{9}+2\beta q^{11}+\cdots$$
6384.2.a.br $2$ $50.976$ $$\Q(\sqrt{3})$$ None $$0$$ $$2$$ $$0$$ $$2$$ $-$ $-$ $-$ $+$ $$q+q^{3}+\beta q^{5}+q^{7}+q^{9}+(2-\beta )q^{11}+\cdots$$
6384.2.a.bu $3$ $50.976$ 3.3.404.1 None $$0$$ $$-3$$ $$0$$ $$3$$ $-$ $+$ $-$ $-$ $$q-q^{3}+\beta _{2}q^{5}+q^{7}+q^{9}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$
6384.2.a.bw $3$ $50.976$ 3.3.568.1 None $$0$$ $$3$$ $$0$$ $$3$$ $+$ $-$ $-$ $-$ $$q+q^{3}-\beta _{1}q^{5}+q^{7}+q^{9}+(1+\beta _{1}+\cdots)q^{11}+\cdots$$
6384.2.a.bx $3$ $50.976$ 3.3.148.1 None $$0$$ $$3$$ $$4$$ $$3$$ $-$ $-$ $-$ $+$ $$q+q^{3}+(1+\beta _{1})q^{5}+q^{7}+q^{9}+(\beta _{1}+\cdots)q^{11}+\cdots$$
6384.2.a.by $4$ $50.976$ 4.4.2225.1 None $$0$$ $$-4$$ $$4$$ $$-4$$ $+$ $+$ $+$ $-$ $$q-q^{3}+(1-\beta _{2})q^{5}-q^{7}+q^{9}+(-1+\cdots)q^{11}+\cdots$$
6384.2.a.bz $4$ $50.976$ 4.4.7232.1 None $$0$$ $$-4$$ $$4$$ $$4$$ $+$ $+$ $-$ $+$ $$q-q^{3}+(1-\beta _{1})q^{5}+q^{7}+q^{9}+\beta _{2}q^{11}+\cdots$$
6384.2.a.cb $4$ $50.976$ 4.4.9248.1 None $$0$$ $$4$$ $$0$$ $$4$$ $+$ $-$ $-$ $-$ $$q+q^{3}+\beta _{1}q^{5}+q^{7}+q^{9}+(\beta _{1}-\beta _{2}+\cdots)q^{11}+\cdots$$
6384.2.a.cc $5$ $50.976$ 5.5.1240016.1 None $$0$$ $$-5$$ $$-2$$ $$-5$$ $-$ $+$ $+$ $+$ $$q-q^{3}+\beta _{2}q^{5}-q^{7}+q^{9}+\beta _{1}q^{11}+\cdots$$
6384.2.a.ce $5$ $50.976$ 5.5.135076.1 None $$0$$ $$5$$ $$2$$ $$-5$$ $+$ $-$ $+$ $+$ $$q+q^{3}+\beta _{1}q^{5}-q^{7}+q^{9}+\beta _{4}q^{11}+\cdots$$
6384.2.a.cf $5$ $50.976$ 5.5.368464.1 None $$0$$ $$5$$ $$4$$ $$-5$$ $-$ $-$ $+$ $-$ $$q+q^{3}+(1+\beta _{3})q^{5}-q^{7}+q^{9}+(-2+\cdots)q^{11}+\cdots$$