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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$ 11 13
1859.4.a.c $6$ $109.685$ \(\mathbb{Q}[x]/(x^{6} - \cdots)\) None \(6\) \(-6\) \(8\) \(53\) $+$ $+$ \(q+(1-\beta _{1})q^{2}+(-1-\beta _{4})q^{3}+(4-\beta _{1}+\cdots)q^{4}+\cdots\)
1859.4.a.e $11$ $109.685$ \(\mathbb{Q}[x]/(x^{11} - \cdots)\) None \(-6\) \(6\) \(4\) \(-45\) $+$ $+$ \(q+(-1+\beta _{1})q^{2}+(1-\beta _{5})q^{3}+(6-\beta _{1}+\cdots)q^{4}+\cdots\)
1859.4.a.h $17$ $109.685$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(0\) \(-6\) \(24\) \(62\) $+$ $+$ \(q+\beta _{1}q^{2}-\beta _{6}q^{3}+(3+\beta _{2})q^{4}+(1-\beta _{7}+\cdots)q^{5}+\cdots\)
1859.4.a.i $17$ $109.685$ \(\mathbb{Q}[x]/(x^{17} - \cdots)\) None \(4\) \(-6\) \(16\) \(-6\) $+$ $+$ \(q+\beta _{1}q^{2}-\beta _{8}q^{3}+(5+\beta _{2})q^{4}+(1+\beta _{6}+\cdots)q^{5}+\cdots\)
1859.4.a.k $18$ $109.685$ \(\mathbb{Q}[x]/(x^{18} - \cdots)\) None \(2\) \(0\) \(20\) \(28\) $-$ $-$ \(q+\beta _{1}q^{2}-\beta _{5}q^{3}+(4+\beta _{2})q^{4}+(1+\beta _{11}+\cdots)q^{5}+\cdots\)
1859.4.a.m $36$ $109.685$ None \(4\) \(12\) \(40\) \(56\) $-$ $-$
1859.4.a.p $51$ $109.685$ None \(0\) \(21\) \(-41\) \(-4\) $+$ $+$
1859.4.a.q $51$ $109.685$ None \(0\) \(21\) \(41\) \(4\) $-$ $-$
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