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Results (21 matches)

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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1334.2.a.a \(1\) \(10.652\) \(\Q\) None \(-1\) \(0\) \(0\) \(4\) \(-\) \(q-q^{2}+q^{4}+4q^{7}-q^{8}-3q^{9}+2q^{11}+\cdots\)
1334.2.a.b \(1\) \(10.652\) \(\Q\) None \(-1\) \(1\) \(-3\) \(-4\) \(-\) \(q-q^{2}+q^{3}+q^{4}-3q^{5}-q^{6}-4q^{7}+\cdots\)
1334.2.a.c \(1\) \(10.652\) \(\Q\) None \(-1\) \(1\) \(1\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}+q^{5}-q^{6}-q^{8}+\cdots\)
1334.2.a.d \(4\) \(10.652\) 4.4.37108.1 None \(-4\) \(1\) \(-1\) \(0\) \(+\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{5}+\beta _{2}q^{6}+\cdots\)
1334.2.a.e \(4\) \(10.652\) 4.4.4352.1 None \(4\) \(-4\) \(0\) \(-4\) \(+\) \(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-\beta _{1}+\cdots)q^{5}+\cdots\)
1334.2.a.f \(5\) \(10.652\) 5.5.207184.1 None \(-5\) \(1\) \(-5\) \(-2\) \(+\) \(q-q^{2}-\beta _{3}q^{3}+q^{4}+(-1+\beta _{4})q^{5}+\cdots\)
1334.2.a.g \(5\) \(10.652\) 5.5.978400.1 None \(-5\) \(1\) \(3\) \(4\) \(-\) \(q-q^{2}+(\beta _{1}-\beta _{2})q^{3}+q^{4}+(\beta _{1}+\beta _{4})q^{5}+\cdots\)
1334.2.a.h \(5\) \(10.652\) 5.5.179024.1 None \(5\) \(-3\) \(-5\) \(-6\) \(+\) \(q+q^{2}+(-1+\beta _{3})q^{3}+q^{4}+(-1-\beta _{4})q^{5}+\cdots\)
1334.2.a.i \(8\) \(10.652\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(8\) \(4\) \(0\) \(8\) \(-\) \(q+q^{2}-\beta _{4}q^{3}+q^{4}-\beta _{1}q^{5}-\beta _{4}q^{6}+\cdots\)
1334.2.a.j \(9\) \(10.652\) \(\mathbb{Q}[x]/(x^{9} - \cdots)\) None \(-9\) \(-3\) \(5\) \(6\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(1-\beta _{6})q^{5}+\beta _{1}q^{6}+\cdots\)
1334.2.a.k \(10\) \(10.652\) \(\mathbb{Q}[x]/(x^{10} - \cdots)\) None \(10\) \(5\) \(-1\) \(2\) \(-\) \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}-\beta _{5}q^{5}+(1+\cdots)q^{6}+\cdots\)
1334.2.c.a \(28\) \(10.652\) None \(0\) \(0\) \(-2\) \(16\)
1334.2.c.b \(28\) \(10.652\) None \(0\) \(0\) \(2\) \(-8\)
1334.4.a.a \(15\) \(78.709\) \(\mathbb{Q}[x]/(x^{15} - \cdots)\) None \(30\) \(-18\) \(-25\) \(-55\) \(-\) \(q+2q^{2}+(-1-\beta _{1})q^{3}+4q^{4}+(-2+\cdots)q^{5}+\cdots\)
1334.4.a.b \(17\) \(78.709\) \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(-34\) \(10\) \(-25\) \(-27\) \(-\) \(q-2q^{2}+(1-\beta _{1})q^{3}+4q^{4}+(-1-\beta _{4}+\cdots)q^{5}+\cdots\)
1334.4.a.c \(18\) \(78.709\) \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(36\) \(-3\) \(0\) \(-41\) \(-\) \(q+2q^{2}-\beta _{1}q^{3}+4q^{4}+(\beta _{1}+\beta _{8})q^{5}+\cdots\)
1334.4.a.d \(19\) \(78.709\) \(\mathbb{Q}[x]/(x^{19} - \cdots)\) None \(-38\) \(-5\) \(0\) \(-13\) \(-\) \(q-2q^{2}-\beta _{1}q^{3}+4q^{4}-\beta _{6}q^{5}+2\beta _{1}q^{6}+\cdots\)
1334.4.a.e \(21\) \(78.709\) None \(-42\) \(-5\) \(0\) \(15\) \(+\)
1334.4.a.f \(21\) \(78.709\) None \(-42\) \(-2\) \(25\) \(29\) \(+\)
1334.4.a.g \(21\) \(78.709\) None \(42\) \(18\) \(25\) \(57\) \(+\)
1334.4.a.h \(22\) \(78.709\) None \(44\) \(21\) \(0\) \(43\) \(+\)
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