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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 11
6534.2.a.a \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(-3\) \(0\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}-3q^{5}-q^{8}+3q^{10}-3q^{13}+\cdots\)
6534.2.a.b \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(-3\) \(1\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}-3q^{5}+q^{7}-q^{8}+3q^{10}+\cdots\)
6534.2.a.c \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(-3\) \(4\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-3q^{5}+4q^{7}-q^{8}+3q^{10}+\cdots\)
6534.2.a.d \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(-2\) \(1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-2q^{5}+q^{7}-q^{8}+2q^{10}+\cdots\)
6534.2.a.e \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-4\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-q^{5}-4q^{7}-q^{8}+q^{10}+\cdots\)
6534.2.a.f \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-2\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\cdots\)
6534.2.a.g \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(0\) \(-3\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}-3q^{7}-q^{8}+3q^{14}+q^{16}+\cdots\)
6534.2.a.h \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(0\) \(3\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+3q^{7}-q^{8}-3q^{14}+q^{16}+\cdots\)
6534.2.a.i \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(1\) \(2\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+q^{5}+2q^{7}-q^{8}-q^{10}+\cdots\)
6534.2.a.j \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
6534.2.a.k \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+2q^{5}-q^{7}-q^{8}-2q^{10}+\cdots\)
6534.2.a.l \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(2\) \(1\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+2q^{5}+q^{7}-q^{8}-2q^{10}+\cdots\)
6534.2.a.m \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(3\) \(-4\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+3q^{5}-4q^{7}-q^{8}-3q^{10}+\cdots\)
6534.2.a.n \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(3\) \(0\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+3q^{5}-q^{8}-3q^{10}+3q^{13}+\cdots\)
6534.2.a.o \(1\) \(52.174\) \(\Q\) None \(-1\) \(0\) \(3\) \(4\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+3q^{5}+4q^{7}-q^{8}-3q^{10}+\cdots\)
6534.2.a.p \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-3\) \(-4\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}-3q^{5}-4q^{7}+q^{8}-3q^{10}+\cdots\)
6534.2.a.q \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-3\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}-3q^{5}+q^{8}-3q^{10}+3q^{13}+\cdots\)
6534.2.a.r \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-3\) \(4\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}-3q^{5}+4q^{7}+q^{8}-3q^{10}+\cdots\)
6534.2.a.s \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-2\) \(-1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
6534.2.a.t \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-2\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}-2q^{5}-q^{7}+q^{8}-2q^{10}+\cdots\)
6534.2.a.u \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-2\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}-2q^{5}+q^{7}+q^{8}-2q^{10}+\cdots\)
6534.2.a.v \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(-1\) \(2\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}-q^{5}+2q^{7}+q^{8}-q^{10}+\cdots\)
6534.2.a.w \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(0\) \(-3\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{4}-3q^{7}+q^{8}-3q^{14}+q^{16}+\cdots\)
6534.2.a.x \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(0\) \(3\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+3q^{7}+q^{8}+3q^{14}+q^{16}+\cdots\)
6534.2.a.y \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(1\) \(-4\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+q^{5}-4q^{7}+q^{8}+q^{10}+\cdots\)
6534.2.a.z \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(1\) \(-2\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+q^{5}-2q^{7}+q^{8}+q^{10}+\cdots\)
6534.2.a.ba \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+2q^{5}+q^{7}+q^{8}+2q^{10}+\cdots\)
6534.2.a.bb \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(3\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+3q^{5}+q^{8}+3q^{10}-3q^{13}+\cdots\)
6534.2.a.bc \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(3\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+q^{7}+q^{8}+3q^{10}+\cdots\)
6534.2.a.bd \(1\) \(52.174\) \(\Q\) None \(1\) \(0\) \(3\) \(4\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+3q^{5}+4q^{7}+q^{8}+3q^{10}+\cdots\)
6534.2.a.be \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-4\) \(-2\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+(-1-2\beta )q^{5}-q^{7}-q^{8}+\cdots\)
6534.2.a.bf \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-2\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}-2\beta q^{5}+(1-3\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bg \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-2\) \(4\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}-q^{5}+(1+2\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bh \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-2\) \(7\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-2\beta q^{5}+(3+\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bi \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-1\) \(-2\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-\beta q^{5}-q^{7}-q^{8}+\beta q^{10}+\cdots\)
6534.2.a.bj \(2\) \(52.174\) \(\Q(\sqrt{13}) \) None \(-2\) \(0\) \(-1\) \(0\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}-\beta q^{5}+(1-2\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bk \(2\) \(52.174\) \(\Q(\sqrt{37}) \) None \(-2\) \(0\) \(-1\) \(2\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}-\beta q^{5}+q^{7}-q^{8}+\beta q^{10}+\cdots\)
6534.2.a.bl \(2\) \(52.174\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+\beta q^{5}-2\beta q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bm \(2\) \(52.174\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+2\beta q^{5}-\beta q^{7}-q^{8}-2\beta q^{10}+\cdots\)
6534.2.a.bn \(2\) \(52.174\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+\beta q^{5}+2\beta q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bo \(2\) \(52.174\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+\beta q^{5}-q^{8}-\beta q^{10}+4\beta q^{13}+\cdots\)
6534.2.a.bp \(2\) \(52.174\) \(\Q(\sqrt{37}) \) None \(-2\) \(0\) \(1\) \(-2\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{4}+\beta q^{5}-q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bq \(2\) \(52.174\) \(\Q(\sqrt{13}) \) None \(-2\) \(0\) \(1\) \(0\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+\beta q^{5}+(-1+2\beta )q^{7}+\cdots\)
6534.2.a.br \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(1\) \(2\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+\beta q^{5}+q^{7}-q^{8}-\beta q^{10}+\cdots\)
6534.2.a.bs \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(2\) \(-7\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+2\beta q^{5}+(-3-\beta )q^{7}+\cdots\)
6534.2.a.bt \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(2\) \(-4\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+q^{5}+(-1-2\beta )q^{7}-q^{8}+\cdots\)
6534.2.a.bu \(2\) \(52.174\) \(\Q(\sqrt{10}) \) None \(-2\) \(0\) \(2\) \(-4\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+(1+\beta )q^{5}-2q^{7}-q^{8}+\cdots\)
6534.2.a.bv \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(2\) \(1\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{4}+2\beta q^{5}+(-1+3\beta )q^{7}+\cdots\)
6534.2.a.bw \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(4\) \(2\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+(1+2\beta )q^{5}+q^{7}-q^{8}+\cdots\)
6534.2.a.bx \(2\) \(52.174\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-4\) \(2\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{4}+(-1-2\beta )q^{5}+q^{7}+q^{8}+\cdots\)
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