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Results (33 matches)

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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 \(0\) \(12\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+3q^{3}-\beta _{1}q^{5}+9q^{9}+(-3\beta _{1}+\beta _{3})q^{11}+\cdots\)
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