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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 13
6864.2.a.a \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-5\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}-3q^{5}-5q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
6864.2.a.b \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-3\) \(-3\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-3q^{5}-3q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
6864.2.a.c \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-2\) \(-4\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{5}-4q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
6864.2.a.d \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}-2q^{5}+q^{9}-q^{11}-q^{13}+2q^{15}+\cdots\)
6864.2.a.e \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-2\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}-2q^{5}+q^{9}+q^{11}+q^{13}+2q^{15}+\cdots\)
6864.2.a.f \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-2\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{5}+2q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
6864.2.a.g \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}-q^{5}-q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.h \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}-2q^{7}+q^{9}+q^{11}+q^{13}+6q^{17}+\cdots\)
6864.2.a.i \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+q^{9}-q^{11}-q^{13}-4q^{17}+\cdots\)
6864.2.a.j \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(0\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+4q^{7}+q^{9}+q^{11}+q^{13}+4q^{19}+\cdots\)
6864.2.a.k \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.l \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(2\) \(-4\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.m \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(2\) \(-4\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}+2q^{5}-4q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
6864.2.a.n \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(2\) \(0\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+2q^{5}+q^{9}+q^{11}+q^{13}-2q^{15}+\cdots\)
6864.2.a.o \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(3\) \(1\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}+3q^{5}+q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
6864.2.a.p \(1\) \(54.809\) \(\Q\) None \(0\) \(-1\) \(4\) \(4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+4q^{5}+4q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.q \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(-3\) \(-1\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}-3q^{5}-q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
6864.2.a.r \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(-2\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-2q^{5}+q^{9}-q^{11}+q^{13}-2q^{15}+\cdots\)
6864.2.a.s \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}-2q^{5}+q^{9}-q^{11}+q^{13}-2q^{15}+\cdots\)
6864.2.a.t \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(-1\) \(-3\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}-q^{5}-3q^{7}+q^{9}-q^{11}+q^{13}+\cdots\)
6864.2.a.u \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(-1\) \(3\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}-q^{5}+3q^{7}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.v \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(0\) \(-4\) \(+\) \(-\) \(-\) \(+\) \(q+q^{3}-4q^{7}+q^{9}+q^{11}-q^{13}+8q^{17}+\cdots\)
6864.2.a.w \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+q^{9}-q^{11}+q^{13}-4q^{17}+\cdots\)
6864.2.a.x \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(0\) \(2\) \(-\) \(-\) \(-\) \(-\) \(q+q^{3}+2q^{7}+q^{9}+q^{11}+q^{13}-2q^{17}+\cdots\)
6864.2.a.y \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(2\) \(-4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+2q^{5}-4q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
6864.2.a.z \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(2\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}+2q^{5}+q^{9}-q^{11}-q^{13}+2q^{15}+\cdots\)
6864.2.a.ba \(1\) \(54.809\) \(\Q\) None \(0\) \(1\) \(4\) \(0\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+4q^{5}+q^{9}-q^{11}+q^{13}+4q^{15}+\cdots\)
6864.2.a.bb \(2\) \(54.809\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(0\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}+(-2+\beta )q^{5}+2\beta q^{7}+q^{9}+\cdots\)
6864.2.a.bc \(2\) \(54.809\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(-4\) \(4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+(-2+\beta )q^{5}+(2+2\beta )q^{7}+q^{9}+\cdots\)
6864.2.a.bd \(2\) \(54.809\) \(\Q(\sqrt{41}) \) None \(0\) \(-2\) \(-1\) \(-3\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}-\beta q^{5}+(-2+\beta )q^{7}+q^{9}+q^{11}+\cdots\)
6864.2.a.be \(2\) \(54.809\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(4\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}+\beta q^{5}+2q^{7}+q^{9}+q^{11}+q^{13}+\cdots\)
6864.2.a.bf \(2\) \(54.809\) \(\Q(\sqrt{41}) \) None \(0\) \(-2\) \(4\) \(0\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+2q^{5}+q^{9}+q^{11}+q^{13}-2q^{15}+\cdots\)
6864.2.a.bg \(2\) \(54.809\) \(\Q(\sqrt{6}) \) None \(0\) \(2\) \(-4\) \(4\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}+(-2+\beta )q^{5}+2q^{7}+q^{9}-q^{11}+\cdots\)
6864.2.a.bh \(2\) \(54.809\) \(\Q(\sqrt{17}) \) None \(0\) \(2\) \(-3\) \(1\) \(-\) \(-\) \(+\) \(-\) \(q+q^{3}+(-1-\beta )q^{5}+(1-\beta )q^{7}+q^{9}+\cdots\)
6864.2.a.bi \(2\) \(54.809\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(0\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}+(-1+\beta )q^{5}+q^{9}-q^{11}-q^{13}+\cdots\)
6864.2.a.bj \(2\) \(54.809\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(-2\) \(0\) \(+\) \(-\) \(-\) \(+\) \(q+q^{3}+(-1-\beta )q^{5}+q^{9}+q^{11}-q^{13}+\cdots\)
6864.2.a.bk \(2\) \(54.809\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(-2\) \(4\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+(-1+\beta )q^{5}+2q^{7}+q^{9}+q^{11}+\cdots\)
6864.2.a.bl \(2\) \(54.809\) \(\Q(\sqrt{33}) \) None \(0\) \(2\) \(1\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+\beta q^{5}+\beta q^{7}+q^{9}+q^{11}-q^{13}+\cdots\)
6864.2.a.bm \(2\) \(54.809\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(2\) \(0\) \(+\) \(-\) \(+\) \(-\) \(q+q^{3}+(1+\beta )q^{5}-2\beta q^{7}+q^{9}-q^{11}+\cdots\)
6864.2.a.bn \(3\) \(54.809\) 3.3.404.1 None \(0\) \(-3\) \(-4\) \(6\) \(+\) \(+\) \(+\) \(-\) \(q-q^{3}+(-1-\beta _{2})q^{5}+(2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
6864.2.a.bo \(3\) \(54.809\) 3.3.892.1 None \(0\) \(-3\) \(-1\) \(-5\) \(+\) \(+\) \(-\) \(-\) \(q-q^{3}-\beta _{1}q^{5}+(-2+\beta _{1}-\beta _{2})q^{7}+\cdots\)
6864.2.a.bp \(3\) \(54.809\) 3.3.148.1 None \(0\) \(-3\) \(0\) \(2\) \(-\) \(+\) \(+\) \(-\) \(q-q^{3}-\beta _{2}q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+q^{9}+\cdots\)
6864.2.a.bq \(3\) \(54.809\) 3.3.148.1 None \(0\) \(-3\) \(0\) \(2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}-\beta _{2}q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+q^{9}+\cdots\)
6864.2.a.br \(3\) \(54.809\) 3.3.564.1 None \(0\) \(-3\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(+\) \(q-q^{3}+(1-\beta _{1})q^{5}+(-1+\beta _{2})q^{7}+\cdots\)
6864.2.a.bs \(3\) \(54.809\) 3.3.148.1 None \(0\) \(-3\) \(4\) \(2\) \(-\) \(+\) \(-\) \(+\) \(q-q^{3}+(1+\beta _{1})q^{5}+(1-\beta _{1}+\beta _{2})q^{7}+\cdots\)
6864.2.a.bt \(3\) \(54.809\) 3.3.404.1 None \(0\) \(-3\) \(4\) \(4\) \(-\) \(+\) \(-\) \(-\) \(q-q^{3}+(1+2\beta _{1}-\beta _{2})q^{5}+(2-\beta _{1}+\cdots)q^{7}+\cdots\)
6864.2.a.bu \(3\) \(54.809\) 3.3.564.1 None \(0\) \(3\) \(-2\) \(-2\) \(-\) \(-\) \(+\) \(+\) \(q+q^{3}+(-\beta _{1}+\beta _{2})q^{5}+(-1-\beta _{2})q^{7}+\cdots\)
6864.2.a.bv \(3\) \(54.809\) 3.3.1620.1 None \(0\) \(3\) \(0\) \(0\) \(-\) \(-\) \(-\) \(+\) \(q+q^{3}+\beta _{1}q^{5}-\beta _{2}q^{7}+q^{9}+q^{11}+\cdots\)
6864.2.a.bw \(4\) \(54.809\) 4.4.70164.1 None \(0\) \(-4\) \(1\) \(-1\) \(+\) \(+\) \(+\) \(+\) \(q-q^{3}+(1+\beta _{2}-\beta _{3})q^{5}+\beta _{2}q^{7}+q^{9}+\cdots\)
6864.2.a.bx \(4\) \(54.809\) 4.4.83476.1 None \(0\) \(-4\) \(2\) \(2\) \(+\) \(+\) \(-\) \(+\) \(q-q^{3}+\beta _{3}q^{5}+(1-\beta _{1}-\beta _{3})q^{7}+q^{9}+\cdots\)
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