## Results (33 matches)

Label Dim. $$A$$ Field CM Traces A-L signs $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$ 2 3 7
2352.4.a.a $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$-18$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}-18q^{5}+9q^{9}+72q^{11}+34q^{13}+\cdots$$
2352.4.a.b $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$-12$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}-12q^{5}+9q^{9}-20q^{11}+84q^{13}+\cdots$$
2352.4.a.d $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$-6$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}-6q^{5}+9q^{9}-6^{2}q^{11}-62q^{13}+\cdots$$
2352.4.a.e $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$-6$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}-6q^{5}+9q^{9}-12q^{11}-38q^{13}+\cdots$$
2352.4.a.g $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$-4$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}-4q^{5}+9q^{9}+20q^{11}+4q^{13}+\cdots$$
2352.4.a.l $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$4$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+4q^{5}+9q^{9}-62q^{11}+62q^{13}+\cdots$$
2352.4.a.m $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$8$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+8q^{5}+9q^{9}-40q^{11}+4q^{13}+\cdots$$
2352.4.a.q $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$15$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+15q^{5}+9q^{9}+9q^{11}+88q^{13}+\cdots$$
2352.4.a.r $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$18$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+18q^{5}+9q^{9}+6^{2}q^{11}+34q^{13}+\cdots$$
2352.4.a.s $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$-3$$ $$18$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+18q^{5}+9q^{9}+50q^{11}-6^{2}q^{13}+\cdots$$
2352.4.a.u $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$3$$ $$-15$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}-15q^{5}+9q^{9}+9q^{11}-88q^{13}+\cdots$$
2352.4.a.w $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$3$$ $$-14$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}-14q^{5}+9q^{9}+28q^{11}+74q^{13}+\cdots$$
2352.4.a.x $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$3$$ $$-12$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}-12q^{5}+9q^{9}+60q^{11}-44q^{13}+\cdots$$
2352.4.a.bb $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$3$$ $$2$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+2q^{5}+9q^{9}-52q^{11}-86q^{13}+\cdots$$
2352.4.a.bh $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$3$$ $$10$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+10q^{5}+9q^{9}+52q^{11}+10q^{13}+\cdots$$
2352.4.a.bj $$1$$ $$138.772$$ $$\Q$$ None $$0$$ $$3$$ $$16$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+2^{4}q^{5}+9q^{9}+18q^{11}+54q^{13}+\cdots$$
2352.4.a.bp $$2$$ $$138.772$$ $$\Q(\sqrt{57})$$ None $$0$$ $$-6$$ $$3$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+(2+\beta )q^{5}+9q^{9}+(26+\beta )q^{11}+\cdots$$
2352.4.a.bv $$2$$ $$138.772$$ $$\Q(\sqrt{177})$$ None $$0$$ $$6$$ $$-14$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+(-7-\beta )q^{5}+9q^{9}+(-9+\cdots)q^{11}+\cdots$$
2352.4.a.bw $$2$$ $$138.772$$ $$\Q(\sqrt{2})$$ None $$0$$ $$6$$ $$-12$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}+(-6+\beta )q^{5}+9q^{9}+(-2+\cdots)q^{11}+\cdots$$
2352.4.a.by $$2$$ $$138.772$$ $$\Q(\sqrt{113})$$ None $$0$$ $$6$$ $$-6$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+(-3-\beta )q^{5}+9q^{9}+(-1+\cdots)q^{11}+\cdots$$
2352.4.a.cb $$2$$ $$138.772$$ $$\Q(\sqrt{57})$$ None $$0$$ $$6$$ $$-3$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}+(-2-\beta )q^{5}+9q^{9}+(26+\beta )q^{11}+\cdots$$
2352.4.a.cd $$2$$ $$138.772$$ $$\Q(\sqrt{2})$$ None $$0$$ $$6$$ $$12$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}+(6+\beta )q^{5}+9q^{9}+(2-6\beta )q^{11}+\cdots$$
2352.4.a.ce $$2$$ $$138.772$$ $$\Q(\sqrt{137})$$ None $$0$$ $$6$$ $$18$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+(9-\beta )q^{5}+9q^{9}+(-29-3\beta )q^{11}+\cdots$$
2352.4.a.cf $$2$$ $$138.772$$ $$\Q(\sqrt{2})$$ None $$0$$ $$6$$ $$20$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}+(10+7\beta )q^{5}+9q^{9}+(10-24\beta )q^{11}+\cdots$$
2352.4.a.cg $$3$$ $$138.772$$ 3.3.57516.1 None $$0$$ $$-9$$ $$-11$$ $$0$$ $$-$$ $$+$$ $$-$$ $$q-3q^{3}+(-4-\beta _{2})q^{5}+9q^{9}+(-11+\cdots)q^{11}+\cdots$$
2352.4.a.ch $$3$$ $$138.772$$ 3.3.58461.1 None $$0$$ $$-9$$ $$-11$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q-3q^{3}+(-4-\beta _{1})q^{5}+9q^{9}+(6-\beta _{1}+\cdots)q^{11}+\cdots$$
2352.4.a.ci $$3$$ $$138.772$$ 3.3.57516.1 None $$0$$ $$9$$ $$11$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}+(4+\beta _{2})q^{5}+9q^{9}+(-11+\cdots)q^{11}+\cdots$$
2352.4.a.cj $$3$$ $$138.772$$ 3.3.58461.1 None $$0$$ $$9$$ $$11$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+(4+\beta _{1})q^{5}+9q^{9}+(6-\beta _{1}+\cdots)q^{11}+\cdots$$
2352.4.a.ck $$4$$ $$138.772$$ 4.4.145408.2 None $$0$$ $$-12$$ $$-8$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q-3q^{3}+(-2+\beta _{2}-3\beta _{3})q^{5}+9q^{9}+\cdots$$
2352.4.a.cm $$4$$ $$138.772$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$0$$ $$-12$$ $$4$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q-3q^{3}+(1+\beta _{1})q^{5}+9q^{9}+(-3-2\beta _{1}+\cdots)q^{11}+\cdots$$
2352.4.a.cn $$4$$ $$138.772$$ 4.4.391168.1 None $$0$$ $$-12$$ $$8$$ $$0$$ $$+$$ $$+$$ $$+$$ $$q-3q^{3}+(2+\beta _{1})q^{5}+9q^{9}+(-10+\cdots)q^{11}+\cdots$$
2352.4.a.cp $$4$$ $$138.772$$ $$\mathbb{Q}[x]/(x^{4} - \cdots)$$ None $$0$$ $$12$$ $$-4$$ $$0$$ $$+$$ $$-$$ $$-$$ $$q+3q^{3}+(-1-\beta _{1})q^{5}+9q^{9}+(-3+\cdots)q^{11}+\cdots$$
2352.4.a.cq $$4$$ $$138.772$$ 4.4.136768.1 None $$0$$ $$12$$ $$0$$ $$0$$ $$-$$ $$-$$ $$+$$ $$q+3q^{3}-\beta _{1}q^{5}+9q^{9}+(-3\beta _{1}+\beta _{3})q^{11}+\cdots$$