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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 7 11
8624.2.a.a \(1\) \(68.863\) \(\Q\) None \(0\) \(-3\) \(1\) \(0\) \(-\) \(-\) \(-\) \(q-3q^{3}+q^{5}+6q^{9}+q^{11}+4q^{13}+\cdots\)
8624.2.a.b \(1\) \(68.863\) \(\Q\) None \(0\) \(-3\) \(2\) \(0\) \(-\) \(+\) \(-\) \(q-3q^{3}+2q^{5}+6q^{9}+q^{11}-7q^{13}+\cdots\)
8624.2.a.c \(1\) \(68.863\) \(\Q\) None \(0\) \(-3\) \(3\) \(0\) \(+\) \(-\) \(-\) \(q-3q^{3}+3q^{5}+6q^{9}+q^{11}-9q^{15}+\cdots\)
8624.2.a.d \(1\) \(68.863\) \(\Q\) None \(0\) \(-3\) \(4\) \(0\) \(-\) \(-\) \(-\) \(q-3q^{3}+4q^{5}+6q^{9}+q^{11}+q^{13}+\cdots\)
8624.2.a.e \(1\) \(68.863\) \(\Q\) None \(0\) \(-2\) \(-2\) \(0\) \(+\) \(-\) \(-\) \(q-2q^{3}-2q^{5}+q^{9}+q^{11}-4q^{13}+\cdots\)
8624.2.a.f \(1\) \(68.863\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q-2q^{3}+q^{9}+q^{11}-2q^{13}+2q^{17}+\cdots\)
8624.2.a.g \(1\) \(68.863\) \(\Q\) None \(0\) \(-2\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q-2q^{3}+2q^{5}+q^{9}-q^{11}-2q^{13}+\cdots\)
8624.2.a.h \(1\) \(68.863\) \(\Q\) None \(0\) \(-2\) \(4\) \(0\) \(+\) \(-\) \(+\) \(q-2q^{3}+4q^{5}+q^{9}-q^{11}+2q^{13}+\cdots\)
8624.2.a.i \(1\) \(68.863\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(+\) \(-\) \(-\) \(q-q^{3}-2q^{5}-2q^{9}+q^{11}-3q^{13}+\cdots\)
8624.2.a.j \(1\) \(68.863\) \(\Q\) None \(0\) \(-1\) \(-1\) \(0\) \(-\) \(-\) \(+\) \(q-q^{3}-q^{5}-2q^{9}-q^{11}-4q^{13}+\cdots\)
8624.2.a.k \(1\) \(68.863\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-2q^{9}+q^{11}-q^{13}-6q^{17}+\cdots\)
8624.2.a.l \(1\) \(68.863\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q-q^{3}-2q^{9}+q^{11}+5q^{13}+6q^{17}+\cdots\)
8624.2.a.m \(1\) \(68.863\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(+\) \(-\) \(+\) \(q-q^{3}+q^{5}-2q^{9}-q^{11}-q^{15}+2q^{17}+\cdots\)
8624.2.a.n \(1\) \(68.863\) \(\Q\) None \(0\) \(-1\) \(1\) \(0\) \(-\) \(-\) \(+\) \(q-q^{3}+q^{5}-2q^{9}-q^{11}+4q^{13}+\cdots\)
8624.2.a.o \(1\) \(68.863\) \(\Q\) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(-\) \(-\) \(q-2q^{5}-3q^{9}+q^{11}-2q^{13}-2q^{17}+\cdots\)
8624.2.a.p \(1\) \(68.863\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q-3q^{9}+q^{11}+6q^{13}-2q^{19}-4q^{23}+\cdots\)
8624.2.a.q \(1\) \(68.863\) \(\Q\) None \(0\) \(0\) \(2\) \(0\) \(+\) \(-\) \(-\) \(q+2q^{5}-3q^{9}+q^{11}-2q^{13}+2q^{17}+\cdots\)
8624.2.a.r \(1\) \(68.863\) \(\Q\) None \(0\) \(0\) \(4\) \(0\) \(-\) \(-\) \(-\) \(q+4q^{5}-3q^{9}+q^{11}-2q^{13}+4q^{17}+\cdots\)
8624.2.a.s \(1\) \(68.863\) \(\Q\) None \(0\) \(1\) \(-3\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}-3q^{5}-2q^{9}+q^{11}+4q^{13}+\cdots\)
8624.2.a.t \(1\) \(68.863\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{9}+q^{11}-5q^{13}-6q^{17}+\cdots\)
8624.2.a.u \(1\) \(68.863\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{9}+q^{11}+q^{13}+6q^{17}+\cdots\)
8624.2.a.v \(1\) \(68.863\) \(\Q\) None \(0\) \(1\) \(2\) \(0\) \(+\) \(+\) \(-\) \(q+q^{3}+2q^{5}-2q^{9}+q^{11}+3q^{13}+\cdots\)
8624.2.a.w \(1\) \(68.863\) \(\Q\) None \(0\) \(1\) \(3\) \(0\) \(-\) \(-\) \(-\) \(q+q^{3}+3q^{5}-2q^{9}+q^{11}+4q^{13}+\cdots\)
8624.2.a.x \(1\) \(68.863\) \(\Q\) None \(0\) \(2\) \(-4\) \(0\) \(+\) \(-\) \(+\) \(q+2q^{3}-4q^{5}+q^{9}-q^{11}-2q^{13}+\cdots\)
8624.2.a.y \(1\) \(68.863\) \(\Q\) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q+2q^{3}-2q^{5}+q^{9}-q^{11}+2q^{13}+\cdots\)
8624.2.a.z \(1\) \(68.863\) \(\Q\) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q+2q^{3}-2q^{5}+q^{9}-q^{11}+4q^{13}+\cdots\)
8624.2.a.ba \(1\) \(68.863\) \(\Q\) None \(0\) \(2\) \(-2\) \(0\) \(+\) \(-\) \(-\) \(q+2q^{3}-2q^{5}+q^{9}+q^{11}-4q^{15}+\cdots\)
8624.2.a.bb \(1\) \(68.863\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+2q^{3}+q^{9}+q^{11}+2q^{13}-2q^{17}+\cdots\)
8624.2.a.bc \(1\) \(68.863\) \(\Q\) None \(0\) \(2\) \(2\) \(0\) \(-\) \(-\) \(+\) \(q+2q^{3}+2q^{5}+q^{9}-q^{11}-4q^{13}+\cdots\)
8624.2.a.bd \(1\) \(68.863\) \(\Q\) None \(0\) \(3\) \(-4\) \(0\) \(-\) \(+\) \(-\) \(q+3q^{3}-4q^{5}+6q^{9}+q^{11}-q^{13}+\cdots\)
8624.2.a.be \(1\) \(68.863\) \(\Q\) None \(0\) \(3\) \(-2\) \(0\) \(-\) \(-\) \(-\) \(q+3q^{3}-2q^{5}+6q^{9}+q^{11}+7q^{13}+\cdots\)
8624.2.a.bf \(2\) \(68.863\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q+(-1-\beta )q^{3}+(-1-\beta )q^{5}+(3+2\beta )q^{9}+\cdots\)
8624.2.a.bg \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+\beta q^{5}-2\beta q^{9}-q^{11}+\cdots\)
8624.2.a.bh \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(4\) \(0\) \(-\) \(-\) \(+\) \(q+(-1+\beta )q^{3}+(2+\beta )q^{5}-2\beta q^{9}+\cdots\)
8624.2.a.bi \(2\) \(68.863\) \(\Q(\sqrt{17}) \) None \(0\) \(-1\) \(3\) \(0\) \(+\) \(-\) \(+\) \(q-\beta q^{3}+(2-\beta )q^{5}+(1+\beta )q^{9}-q^{11}+\cdots\)
8624.2.a.bj \(2\) \(68.863\) \(\Q(\sqrt{6}) \) None \(0\) \(0\) \(-4\) \(0\) \(-\) \(-\) \(-\) \(q+\beta q^{3}-2q^{5}+3q^{9}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
8624.2.a.bk \(2\) \(68.863\) \(\Q(\sqrt{7}) \) None \(0\) \(0\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(q+\beta q^{3}+(-1+\beta )q^{5}+4q^{9}-q^{11}+\cdots\)
8624.2.a.bl \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+2\beta q^{5}-3q^{9}-q^{11}+3\beta q^{13}-2\beta q^{17}+\cdots\)
8624.2.a.bm \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{5}-3q^{9}-q^{11}-3\beta q^{13}-\beta q^{17}+\cdots\)
8624.2.a.bn \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q-2\beta q^{5}-3q^{9}-q^{11}-\beta q^{13}+2\beta q^{17}+\cdots\)
8624.2.a.bo \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(+\) \(q+\beta q^{5}-3q^{9}-q^{11}-2\beta q^{13}-\beta q^{17}+\cdots\)
8624.2.a.bp \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(-\) \(-\) \(q+\beta q^{5}-3q^{9}+q^{11}+\beta q^{17}-\beta q^{19}+\cdots\)
8624.2.a.bq \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+\beta q^{3}-\beta q^{5}-q^{9}-q^{11}-2q^{15}+\cdots\)
8624.2.a.br \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(+\) \(q+\beta q^{3}+\beta q^{5}-q^{9}-q^{11}-2\beta q^{13}+\cdots\)
8624.2.a.bs \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+\beta q^{3}-3\beta q^{5}-q^{9}+q^{11}-6q^{15}+\cdots\)
8624.2.a.bt \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q+\beta q^{3}-\beta q^{5}-q^{9}+q^{11}-2q^{15}+\cdots\)
8624.2.a.bu \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+\beta q^{3}-q^{9}+q^{11}+\beta q^{13}+5\beta q^{17}+\cdots\)
8624.2.a.bv \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+\beta q^{3}+\beta q^{5}-q^{9}+q^{11}+2q^{15}+\cdots\)
8624.2.a.bw \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+\beta q^{3}+\beta q^{5}-q^{9}+q^{11}+2\beta q^{13}+\cdots\)
8624.2.a.bx \(2\) \(68.863\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+2\beta q^{3}-\beta q^{5}+5q^{9}+q^{11}+\beta q^{13}+\cdots\)
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