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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 5 13
8450.2.a.a \(1\) \(67.474\) \(\Q\) None \(-1\) \(-2\) \(0\) \(-5\) \(+\) \(-\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-5q^{7}-q^{8}+\cdots\)
8450.2.a.b \(1\) \(67.474\) \(\Q\) None \(-1\) \(-2\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-q^{2}-2q^{3}+q^{4}+2q^{6}-q^{8}+q^{9}+\cdots\)
8450.2.a.c \(1\) \(67.474\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-q^{7}-q^{8}+\cdots\)
8450.2.a.d \(1\) \(67.474\) \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) \(+\) \(+\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
8450.2.a.e \(1\) \(67.474\) \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
8450.2.a.f \(1\) \(67.474\) \(\Q\) None \(-1\) \(0\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}-4q^{7}-q^{8}-3q^{9}+4q^{11}+\cdots\)
8450.2.a.g \(1\) \(67.474\) \(\Q\) None \(-1\) \(0\) \(0\) \(3\) \(+\) \(+\) \(+\) \(q-q^{2}+q^{4}+3q^{7}-q^{8}-3q^{9}-3q^{11}+\cdots\)
8450.2.a.h \(1\) \(67.474\) \(\Q\) None \(-1\) \(1\) \(0\) \(3\) \(+\) \(+\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+3q^{7}-q^{8}+\cdots\)
8450.2.a.i \(1\) \(67.474\) \(\Q\) None \(-1\) \(2\) \(0\) \(-4\) \(+\) \(+\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-4q^{7}-q^{8}+\cdots\)
8450.2.a.j \(1\) \(67.474\) \(\Q\) None \(-1\) \(2\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots\)
8450.2.a.k \(1\) \(67.474\) \(\Q\) None \(-1\) \(2\) \(0\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{2}+2q^{3}+q^{4}-2q^{6}-q^{7}-q^{8}+\cdots\)
8450.2.a.l \(1\) \(67.474\) \(\Q\) None \(-1\) \(3\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
8450.2.a.m \(1\) \(67.474\) \(\Q\) None \(1\) \(-3\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}-3q^{3}+q^{4}-3q^{6}+q^{8}+6q^{9}+\cdots\)
8450.2.a.n \(1\) \(67.474\) \(\Q\) None \(1\) \(-2\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}-4q^{7}+q^{8}+\cdots\)
8450.2.a.o \(1\) \(67.474\) \(\Q\) None \(1\) \(-2\) \(0\) \(0\) \(-\) \(+\) \(-\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{8}+q^{9}+\cdots\)
8450.2.a.p \(1\) \(67.474\) \(\Q\) None \(1\) \(-2\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}-2q^{3}+q^{4}-2q^{6}+q^{7}+q^{8}+\cdots\)
8450.2.a.q \(1\) \(67.474\) \(\Q\) None \(1\) \(0\) \(0\) \(-3\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}-3q^{7}+q^{8}-3q^{9}+3q^{11}+\cdots\)
8450.2.a.r \(1\) \(67.474\) \(\Q\) None \(1\) \(0\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+q^{8}-3q^{9}+q^{16}-2q^{17}+\cdots\)
8450.2.a.s \(1\) \(67.474\) \(\Q\) None \(1\) \(0\) \(0\) \(4\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{4}+4q^{7}+q^{8}-3q^{9}-4q^{11}+\cdots\)
8450.2.a.t \(1\) \(67.474\) \(\Q\) None \(1\) \(1\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
8450.2.a.u \(1\) \(67.474\) \(\Q\) None \(1\) \(1\) \(0\) \(-3\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-3q^{7}+q^{8}+\cdots\)
8450.2.a.v \(1\) \(67.474\) \(\Q\) None \(1\) \(1\) \(0\) \(-2\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
8450.2.a.w \(1\) \(67.474\) \(\Q\) None \(1\) \(2\) \(0\) \(1\) \(-\) \(+\) \(+\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+q^{7}+q^{8}+\cdots\)
8450.2.a.x \(1\) \(67.474\) \(\Q\) None \(1\) \(2\) \(0\) \(5\) \(-\) \(+\) \(+\) \(q+q^{2}+2q^{3}+q^{4}+2q^{6}+5q^{7}+q^{8}+\cdots\)
8450.2.a.y \(1\) \(67.474\) \(\Q\) None \(1\) \(3\) \(0\) \(1\) \(-\) \(+\) \(+\) \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{7}+q^{8}+\cdots\)
8450.2.a.z \(2\) \(67.474\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(-2\) \(+\) \(+\) \(+\) \(q-q^{2}+(-1+\beta )q^{3}+q^{4}+(1-\beta )q^{6}+\cdots\)
8450.2.a.ba \(2\) \(67.474\) \(\Q(\sqrt{13}) \) None \(-2\) \(-1\) \(0\) \(-5\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+(-3+\beta )q^{7}+\cdots\)
8450.2.a.bb \(2\) \(67.474\) \(\Q(\sqrt{21}) \) None \(-2\) \(-1\) \(0\) \(1\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+(1-\beta )q^{7}+\cdots\)
8450.2.a.bc \(2\) \(67.474\) \(\Q(\sqrt{10}) \) None \(-2\) \(0\) \(0\) \(2\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+q^{7}-q^{8}+\cdots\)
8450.2.a.bd \(2\) \(67.474\) \(\Q(\sqrt{13}) \) None \(-2\) \(1\) \(0\) \(-5\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+(-3+\beta )q^{7}+\cdots\)
8450.2.a.be \(2\) \(67.474\) \(\Q(\sqrt{21}) \) None \(-2\) \(1\) \(0\) \(1\) \(+\) \(+\) \(+\) \(q-q^{2}+\beta q^{3}+q^{4}-\beta q^{6}+(1-\beta )q^{7}+\cdots\)
8450.2.a.bf \(2\) \(67.474\) \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(6\) \(+\) \(+\) \(-\) \(q-q^{2}+(1+\beta )q^{3}+q^{4}+(-1-\beta )q^{6}+\cdots\)
8450.2.a.bg \(2\) \(67.474\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(2\) \(-\) \(+\) \(+\) \(q+q^{2}+(-1+\beta )q^{3}+q^{4}+(-1+\beta )q^{6}+\cdots\)
8450.2.a.bh \(2\) \(67.474\) \(\Q(\sqrt{21}) \) None \(2\) \(-1\) \(0\) \(-1\) \(-\) \(-\) \(+\) \(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}+(-1+\beta )q^{7}+\cdots\)
8450.2.a.bi \(2\) \(67.474\) \(\Q(\sqrt{13}) \) None \(2\) \(-1\) \(0\) \(5\) \(-\) \(-\) \(+\) \(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}+(3-\beta )q^{7}+\cdots\)
8450.2.a.bj \(2\) \(67.474\) \(\Q(\sqrt{10}) \) None \(2\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}-q^{7}+q^{8}+\cdots\)
8450.2.a.bk \(2\) \(67.474\) \(\Q(\sqrt{21}) \) None \(2\) \(1\) \(0\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(-1+\beta )q^{7}+\cdots\)
8450.2.a.bl \(2\) \(67.474\) \(\Q(\sqrt{13}) \) None \(2\) \(1\) \(0\) \(5\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta q^{3}+q^{4}+\beta q^{6}+(3-\beta )q^{7}+\cdots\)
8450.2.a.bm \(2\) \(67.474\) \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(-6\) \(-\) \(+\) \(-\) \(q+q^{2}+(1+\beta )q^{3}+q^{4}+(1+\beta )q^{6}+\cdots\)
8450.2.a.bn \(3\) \(67.474\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-3\) \(0\) \(4\) \(+\) \(+\) \(+\) \(q-q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(1+\cdots)q^{6}+\cdots\)
8450.2.a.bo \(3\) \(67.474\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-1\) \(0\) \(-5\) \(+\) \(+\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
8450.2.a.bp \(3\) \(67.474\) \(\Q(\zeta_{14})^+\) None \(-3\) \(-1\) \(0\) \(4\) \(+\) \(+\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bq \(3\) \(67.474\) 3.3.2808.1 None \(-3\) \(0\) \(0\) \(-3\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
8450.2.a.br \(3\) \(67.474\) 3.3.2808.1 None \(-3\) \(0\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(-1+\cdots)q^{7}+\cdots\)
8450.2.a.bs \(3\) \(67.474\) 3.3.940.1 None \(-3\) \(0\) \(0\) \(2\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+\beta _{1}q^{6}+(1+\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bt \(3\) \(67.474\) 3.3.148.1 None \(-3\) \(0\) \(0\) \(5\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta _{2}q^{3}+q^{4}+\beta _{2}q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bu \(3\) \(67.474\) 3.3.148.1 None \(-3\) \(0\) \(0\) \(5\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta _{2}q^{3}+q^{4}-\beta _{2}q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bv \(3\) \(67.474\) \(\Q(\zeta_{14})^+\) None \(-3\) \(1\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}-2\beta _{1}q^{7}+\cdots\)
8450.2.a.bw \(3\) \(67.474\) \(\Q(\zeta_{14})^+\) None \(-3\) \(1\) \(0\) \(4\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}-\beta _{1}q^{6}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
8450.2.a.bx \(3\) \(67.474\) \(\Q(\zeta_{14})^+\) None \(3\) \(-3\) \(0\) \(-4\) \(-\) \(+\) \(-\) \(q+q^{2}+(-1+\beta _{1}+\beta _{2})q^{3}+q^{4}+(-1+\cdots)q^{6}+\cdots\)
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