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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 19
2394.2.a.f $1$ $19.116$ \(\Q\) None \(-1\) \(0\) \(4\) \(-1\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-4q^{10}+\cdots\)
2394.2.a.k $1$ $19.116$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $+$ $-$ $-$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+2q^{13}+q^{14}+\cdots\)
2394.2.a.l $1$ $19.116$ \(\Q\) None \(1\) \(0\) \(0\) \(1\) $-$ $+$ $-$ $-$ \(q+q^{2}+q^{4}+q^{7}+q^{8}+6q^{11}+2q^{13}+\cdots\)
2394.2.a.m $1$ $19.116$ \(\Q\) None \(1\) \(0\) \(2\) \(-1\) $-$ $-$ $+$ $-$ \(q+q^{2}+q^{4}+2q^{5}-q^{7}+q^{8}+2q^{10}+\cdots\)
2394.2.a.n $1$ $19.116$ \(\Q\) None \(1\) \(0\) \(2\) \(1\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
2394.2.a.o $1$ $19.116$ \(\Q\) None \(1\) \(0\) \(4\) \(1\) $-$ $+$ $-$ $-$ \(q+q^{2}+q^{4}+4q^{5}+q^{7}+q^{8}+4q^{10}+\cdots\)
2394.2.a.q $2$ $19.116$ \(\Q(\sqrt{13}) \) None \(-2\) \(0\) \(-1\) \(2\) $+$ $-$ $-$ $-$ \(q-q^{2}+q^{4}-\beta q^{5}+q^{7}-q^{8}+\beta q^{10}+\cdots\)
2394.2.a.r $2$ $19.116$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(0\) \(2\) $+$ $-$ $-$ $-$ \(q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots\)
2394.2.a.s $2$ $19.116$ \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(2\) \(-2\) $+$ $+$ $+$ $-$ \(q-q^{2}+q^{4}+(1+\beta )q^{5}-q^{7}-q^{8}+\cdots\)
2394.2.a.t $2$ $19.116$ \(\Q(\sqrt{2}) \) None \(-2\) \(0\) \(4\) \(2\) $+$ $+$ $-$ $+$ \(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
2394.2.a.w $2$ $19.116$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-1\) \(2\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{4}+(1-3\beta )q^{5}+q^{7}+q^{8}+\cdots\)
2394.2.a.x $2$ $19.116$ \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(0\) \(-2\) $-$ $-$ $+$ $-$ \(q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots\)
2394.2.a.y $2$ $19.116$ \(\Q(\sqrt{29}) \) None \(2\) \(0\) \(1\) \(-2\) $-$ $-$ $+$ $-$ \(q+q^{2}+q^{4}+\beta q^{5}-q^{7}+q^{8}+\beta q^{10}+\cdots\)
2394.2.a.z $2$ $19.116$ \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(2\) \(2\) $-$ $-$ $-$ $+$ \(q+q^{2}+q^{4}+(1+\beta )q^{5}+q^{7}+q^{8}+\cdots\)
2394.2.a.ba $3$ $19.116$ 3.3.469.1 None \(-3\) \(0\) \(-5\) \(-3\) $+$ $-$ $+$ $+$ \(q-q^{2}+q^{4}+(-2+\beta _{1})q^{5}-q^{7}-q^{8}+\cdots\)
2394.2.a.bc $3$ $19.116$ 3.3.148.1 None \(3\) \(0\) \(2\) \(-3\) $-$ $+$ $+$ $+$ \(q+q^{2}+q^{4}+(1+\beta _{1})q^{5}-q^{7}+q^{8}+\cdots\)
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