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## Results (28 matches)

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Label Dim $A$ Field CM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
5796.2.a.a $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$-4$$ $$1$$ $+$ $$q-4q^{5}+q^{7}+2q^{13}-4q^{17}+4q^{19}+\cdots$$
5796.2.a.b $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$-2$$ $$1$$ $-$ $$q-2q^{5}+q^{7}+3q^{11}-4q^{13}-8q^{17}+\cdots$$
5796.2.a.c $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $-$ $$q-q^{7}+5q^{11}-6q^{13}-4q^{17}+7q^{19}+\cdots$$
5796.2.a.d $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}-3q^{11}+2q^{13}+5q^{19}+q^{23}+\cdots$$
5796.2.a.e $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$0$$ $$1$$ $+$ $$q+q^{7}+2q^{11}-3q^{13}+q^{23}-5q^{25}+\cdots$$
5796.2.a.f $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$2$$ $$-1$$ $+$ $$q+2q^{5}-q^{7}+2q^{11}-q^{13}-6q^{19}+\cdots$$
5796.2.a.g $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$2$$ $$1$$ $+$ $$q+2q^{5}+q^{7}-3q^{11}-4q^{13}+8q^{17}+\cdots$$
5796.2.a.h $1$ $46.281$ $$\Q$$ None $$0$$ $$0$$ $$4$$ $$1$$ $-$ $$q+4q^{5}+q^{7}+2q^{13}+4q^{17}+4q^{19}+\cdots$$
5796.2.a.i $2$ $46.281$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$-1$$ $$-2$$ $+$ $$q-\beta q^{5}-q^{7}+(1+2\beta )q^{11}+(1+\beta )q^{13}+\cdots$$
5796.2.a.j $2$ $46.281$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$-1$$ $$2$$ $+$ $$q+(1-3\beta )q^{5}+q^{7}-3q^{11}+(-2+\beta )q^{13}+\cdots$$
5796.2.a.k $2$ $46.281$ $$\Q(\sqrt{13})$$ None $$0$$ $$0$$ $$-1$$ $$2$$ $+$ $$q-\beta q^{5}+q^{7}+(-1+2\beta )q^{11}+(-3+\cdots)q^{13}+\cdots$$
5796.2.a.l $2$ $46.281$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$1$$ $$-2$$ $-$ $$q+\beta q^{5}-q^{7}+3q^{11}+(-1+\beta )q^{13}+\cdots$$
5796.2.a.m $2$ $46.281$ $$\Q(\sqrt{13})$$ None $$0$$ $$0$$ $$5$$ $$-2$$ $-$ $$q+(3-\beta )q^{5}-q^{7}+(-1-2\beta )q^{11}+\cdots$$
5796.2.a.n $2$ $46.281$ $$\Q(\sqrt{5})$$ None $$0$$ $$0$$ $$5$$ $$2$$ $-$ $$q+(3-\beta )q^{5}+q^{7}+q^{11}+(2-5\beta )q^{13}+\cdots$$
5796.2.a.o $3$ $46.281$ 3.3.1101.1 None $$0$$ $$0$$ $$-1$$ $$-3$$ $+$ $$q-\beta _{1}q^{5}-q^{7}-q^{11}+(-1+\beta _{1}-\beta _{2})q^{13}+\cdots$$
5796.2.a.p $3$ $46.281$ 3.3.1509.1 None $$0$$ $$0$$ $$1$$ $$3$$ $-$ $$q+\beta _{1}q^{5}+q^{7}+(-1+2\beta _{1})q^{11}+(1+\cdots)q^{13}+\cdots$$
5796.2.a.q $4$ $46.281$ 4.4.140608.1 None $$0$$ $$0$$ $$-2$$ $$4$$ $+$ $$q+\beta _{2}q^{5}+q^{7}+(-1-\beta _{1})q^{11}+(1+\cdots)q^{13}+\cdots$$
5796.2.a.r $4$ $46.281$ 4.4.140608.1 None $$0$$ $$0$$ $$2$$ $$4$$ $-$ $$q-\beta _{2}q^{5}+q^{7}+(1+\beta _{1})q^{11}+(1+\beta _{2}+\cdots)q^{13}+\cdots$$
5796.2.a.s $5$ $46.281$ 5.5.8580816.1 None $$0$$ $$0$$ $$-4$$ $$5$$ $-$ $$q+(-1-\beta _{4})q^{5}+q^{7}+(\beta _{2}+\beta _{4})q^{11}+\cdots$$
5796.2.a.t $5$ $46.281$ 5.5.6963152.1 None $$0$$ $$0$$ $$-2$$ $$-5$$ $-$ $$q+(-1+\beta _{2}-\beta _{3})q^{5}-q^{7}+(-1+\beta _{1}+\cdots)q^{11}+\cdots$$
5796.2.a.u $6$ $46.281$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$0$$ $$0$$ $$-4$$ $$-6$$ $+$ $$q+(-1+\beta _{1})q^{5}-q^{7}+(-\beta _{3}-\beta _{4}+\cdots)q^{11}+\cdots$$
5796.2.a.v $6$ $46.281$ $$\mathbb{Q}[x]/(x^{6} - \cdots)$$ None $$0$$ $$0$$ $$4$$ $$-6$$ $-$ $$q+(1-\beta _{1})q^{5}-q^{7}+(\beta _{3}+\beta _{4})q^{11}+\cdots$$
5796.2.j.a $56$ $46.281$ None $$0$$ $$0$$ $$0$$ $$8$$
5796.2.k.a $8$ $46.281$ 8.0.$$\cdots$$.1 $$\Q(\sqrt{-483})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta _{1}q^{7}-\beta _{5}q^{11}-\beta _{3}q^{19}+(-\beta _{5}+\cdots)q^{23}+\cdots$$
5796.2.k.b $16$ $46.281$ $$\mathbb{Q}[x]/(x^{16} - \cdots)$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{2}q^{5}+\beta _{8}q^{7}+(-\beta _{1}-\beta _{8}+\beta _{12}+\cdots)q^{11}+\cdots$$
5796.2.k.c $24$ $46.281$ None $$0$$ $$0$$ $$0$$ $$0$$
5796.2.k.d $32$ $46.281$ None $$0$$ $$0$$ $$0$$ $$0$$
5796.2.p.a $48$ $46.281$ None $$0$$ $$0$$ $$0$$ $$0$$
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