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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 7 11
6160.2.a.a \(1\) \(49.188\) \(\Q\) None \(0\) \(-2\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q-2q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
6160.2.a.b \(1\) \(49.188\) \(\Q\) None \(0\) \(-2\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(-\) \(q-2q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
6160.2.a.c \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(-1\) \(1\) \(+\) \(+\) \(-\) \(+\) \(q-q^{5}+q^{7}-3q^{9}-q^{11}+2q^{13}+\cdots\)
6160.2.a.d \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(+\) \(-\) \(+\) \(+\) \(q+q^{5}-q^{7}-3q^{9}-q^{11}-6q^{13}+\cdots\)
6160.2.a.e \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(-\) \(q+q^{5}-q^{7}-3q^{9}+q^{11}-6q^{13}+\cdots\)
6160.2.a.f \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(1\) \(-1\) \(+\) \(-\) \(+\) \(-\) \(q+q^{5}-q^{7}-3q^{9}+q^{11}-2q^{13}+\cdots\)
6160.2.a.g \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+q^{5}+q^{7}-3q^{9}-q^{11}-6q^{13}+\cdots\)
6160.2.a.h \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(-\) \(-\) \(-\) \(q+q^{5}+q^{7}-3q^{9}+q^{11}+2q^{13}+\cdots\)
6160.2.a.i \(1\) \(49.188\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(-\) \(-\) \(-\) \(q+q^{5}+q^{7}-3q^{9}+q^{11}+2q^{13}+\cdots\)
6160.2.a.j \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q+2q^{3}-q^{5}-q^{7}+q^{9}+q^{11}-4q^{13}+\cdots\)
6160.2.a.k \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(-1\) \(-1\) \(-\) \(+\) \(+\) \(-\) \(q+2q^{3}-q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
6160.2.a.l \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(-1\) \(1\) \(+\) \(+\) \(-\) \(+\) \(q+2q^{3}-q^{5}+q^{7}+q^{9}-q^{11}-2q^{15}+\cdots\)
6160.2.a.m \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(+\) \(q+2q^{3}+q^{5}-q^{7}+q^{9}-q^{11}-4q^{13}+\cdots\)
6160.2.a.n \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(-\) \(q+2q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+2q^{13}+\cdots\)
6160.2.a.o \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(1\) \(-1\) \(-\) \(-\) \(+\) \(-\) \(q+2q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+4q^{13}+\cdots\)
6160.2.a.p \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(1\) \(1\) \(-\) \(-\) \(-\) \(+\) \(q+2q^{3}+q^{5}+q^{7}+q^{9}-q^{11}+2q^{15}+\cdots\)
6160.2.a.q \(1\) \(49.188\) \(\Q\) None \(0\) \(2\) \(1\) \(1\) \(+\) \(-\) \(-\) \(-\) \(q+2q^{3}+q^{5}+q^{7}+q^{9}+q^{11}+6q^{13}+\cdots\)
6160.2.a.r \(2\) \(49.188\) \(\Q(\sqrt{33}) \) None \(0\) \(-4\) \(2\) \(-2\) \(-\) \(-\) \(+\) \(-\) \(q-2q^{3}+q^{5}-q^{7}+q^{9}+q^{11}+(1+\cdots)q^{13}+\cdots\)
6160.2.a.s \(2\) \(49.188\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(+\) \(q+(-1+\beta )q^{3}-q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
6160.2.a.t \(2\) \(49.188\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(+\) \(q+(-1+\beta )q^{3}-q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
6160.2.a.u \(2\) \(49.188\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(-2\) \(-2\) \(-\) \(+\) \(+\) \(-\) \(q+(-1+\beta )q^{3}-q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
6160.2.a.v \(2\) \(49.188\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(2\) \(-2\) \(-\) \(-\) \(+\) \(+\) \(q+(-1+\beta )q^{3}+q^{5}-q^{7}+(1-2\beta )q^{9}+\cdots\)
6160.2.a.w \(2\) \(49.188\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q-q^{5}-q^{7}-3q^{9}+q^{11}-\beta q^{13}+\cdots\)
6160.2.a.x \(2\) \(49.188\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(+\) \(+\) \(-\) \(q+\beta q^{3}-q^{5}-q^{7}+5q^{9}+q^{11}+(2+\cdots)q^{13}+\cdots\)
6160.2.a.y \(2\) \(49.188\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) \(-\) \(+\) \(-\) \(+\) \(q+\beta q^{3}-q^{5}+q^{7}-q^{9}-q^{11}+(2+\cdots)q^{13}+\cdots\)
6160.2.a.z \(2\) \(49.188\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) \(-\) \(+\) \(-\) \(-\) \(q+\beta q^{3}-q^{5}+q^{7}-q^{9}+q^{11}+(2+\cdots)q^{13}+\cdots\)
6160.2.a.ba \(2\) \(49.188\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(-2\) \(2\) \(-\) \(+\) \(-\) \(-\) \(q+\beta q^{3}-q^{5}+q^{7}+5q^{9}+q^{11}+2q^{13}+\cdots\)
6160.2.a.bb \(2\) \(49.188\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(-\) \(q+\beta q^{3}+q^{5}-q^{7}-q^{9}+q^{11}+(-2+\cdots)q^{13}+\cdots\)
6160.2.a.bc \(2\) \(49.188\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(2\) \(2\) \(+\) \(-\) \(-\) \(+\) \(q+\beta q^{3}+q^{5}+q^{7}-q^{9}-q^{11}+(-2+\cdots)q^{13}+\cdots\)
6160.2.a.bd \(3\) \(49.188\) 3.3.404.1 None \(0\) \(-2\) \(-3\) \(3\) \(+\) \(+\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{3}-q^{5}+q^{7}+(1-\beta _{1}+\cdots)q^{9}+\cdots\)
6160.2.a.be \(3\) \(49.188\) 3.3.316.1 None \(0\) \(-2\) \(3\) \(-3\) \(+\) \(-\) \(+\) \(-\) \(q+(-1-\beta _{2})q^{3}+q^{5}-q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots\)
6160.2.a.bf \(3\) \(49.188\) 3.3.316.1 None \(0\) \(-2\) \(3\) \(3\) \(-\) \(-\) \(-\) \(+\) \(q+(-1-\beta _{2})q^{3}+q^{5}+q^{7}+(3-\beta _{1}+\cdots)q^{9}+\cdots\)
6160.2.a.bg \(3\) \(49.188\) 3.3.148.1 None \(0\) \(0\) \(-3\) \(-3\) \(+\) \(+\) \(+\) \(+\) \(q-\beta _{2}q^{3}-q^{5}-q^{7}+(-\beta _{1}-\beta _{2})q^{9}+\cdots\)
6160.2.a.bh \(3\) \(49.188\) 3.3.148.1 None \(0\) \(0\) \(-3\) \(3\) \(-\) \(+\) \(-\) \(+\) \(q-\beta _{2}q^{3}-q^{5}+q^{7}+(-\beta _{1}-\beta _{2})q^{9}+\cdots\)
6160.2.a.bi \(3\) \(49.188\) 3.3.892.1 None \(0\) \(0\) \(-3\) \(3\) \(-\) \(+\) \(-\) \(+\) \(q-\beta _{1}q^{3}-q^{5}+q^{7}+(4+\beta _{1}+\beta _{2})q^{9}+\cdots\)
6160.2.a.bj \(3\) \(49.188\) 3.3.148.1 None \(0\) \(0\) \(3\) \(-3\) \(-\) \(-\) \(+\) \(+\) \(q-\beta _{2}q^{3}+q^{5}-q^{7}+(-\beta _{1}-\beta _{2})q^{9}+\cdots\)
6160.2.a.bk \(3\) \(49.188\) 3.3.3028.1 None \(0\) \(0\) \(3\) \(-3\) \(-\) \(-\) \(+\) \(-\) \(q-\beta _{1}q^{3}+q^{5}-q^{7}+(4+\beta _{1}+\beta _{2})q^{9}+\cdots\)
6160.2.a.bl \(3\) \(49.188\) 3.3.564.1 None \(0\) \(2\) \(-3\) \(-3\) \(-\) \(+\) \(+\) \(-\) \(q+(1-\beta _{1})q^{3}-q^{5}-q^{7}+(2-2\beta _{1}+\cdots)q^{9}+\cdots\)
6160.2.a.bm \(3\) \(49.188\) 3.3.148.1 None \(0\) \(2\) \(-3\) \(-3\) \(+\) \(+\) \(+\) \(-\) \(q+(1-\beta _{1})q^{3}-q^{5}-q^{7}+(1-\beta _{1}+\beta _{2})q^{9}+\cdots\)
6160.2.a.bn \(3\) \(49.188\) 3.3.148.1 None \(0\) \(2\) \(-3\) \(3\) \(-\) \(+\) \(-\) \(-\) \(q+(1-\beta _{1})q^{3}-q^{5}+q^{7}+(-\beta _{1}+\beta _{2})q^{9}+\cdots\)
6160.2.a.bo \(3\) \(49.188\) 3.3.148.1 None \(0\) \(4\) \(-3\) \(-3\) \(-\) \(+\) \(+\) \(+\) \(q+(1+\beta _{1})q^{3}-q^{5}-q^{7}+(3\beta _{1}+\beta _{2})q^{9}+\cdots\)
6160.2.a.bp \(3\) \(49.188\) 3.3.148.1 None \(0\) \(4\) \(3\) \(-3\) \(+\) \(-\) \(+\) \(+\) \(q+(1+\beta _{1})q^{3}+q^{5}-q^{7}+(3\beta _{1}+\beta _{2})q^{9}+\cdots\)
6160.2.a.bq \(4\) \(49.188\) 4.4.25488.1 None \(0\) \(-4\) \(4\) \(4\) \(+\) \(-\) \(-\) \(+\) \(q+(-1+\beta _{1})q^{3}+q^{5}+q^{7}+(1-2\beta _{1}+\cdots)q^{9}+\cdots\)
6160.2.a.br \(4\) \(49.188\) 4.4.11348.1 None \(0\) \(-2\) \(4\) \(4\) \(-\) \(-\) \(-\) \(-\) \(q+(-1-\beta _{3})q^{3}+q^{5}+q^{7}+(2-\beta _{2}+\cdots)q^{9}+\cdots\)
6160.2.a.bs \(4\) \(49.188\) 4.4.111028.1 None \(0\) \(0\) \(4\) \(4\) \(-\) \(-\) \(-\) \(+\) \(q+\beta _{1}q^{3}+q^{5}+q^{7}+(2+\beta _{2})q^{9}-q^{11}+\cdots\)
6160.2.a.bt \(4\) \(49.188\) 4.4.116404.1 None \(0\) \(0\) \(4\) \(4\) \(+\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{3}+q^{5}+q^{7}+(2+\beta _{2})q^{9}+q^{11}+\cdots\)
6160.2.a.bu \(4\) \(49.188\) 4.4.11348.1 None \(0\) \(2\) \(4\) \(4\) \(+\) \(-\) \(-\) \(-\) \(q-\beta _{2}q^{3}+q^{5}+q^{7}+(-\beta _{2}-\beta _{3})q^{9}+\cdots\)
6160.2.a.bv \(5\) \(49.188\) 5.5.8892720.1 None \(0\) \(-2\) \(-5\) \(-5\) \(+\) \(+\) \(+\) \(+\) \(q-\beta _{1}q^{3}-q^{5}-q^{7}+(1+\beta _{1}+\beta _{2}+\cdots)q^{9}+\cdots\)
6160.2.a.bw \(5\) \(49.188\) 5.5.265504.1 None \(0\) \(-2\) \(-5\) \(5\) \(+\) \(+\) \(-\) \(-\) \(q-\beta _{3}q^{3}-q^{5}+q^{7}+(1+\beta _{1}+\beta _{3}+\cdots)q^{9}+\cdots\)
6160.2.a.bx \(5\) \(49.188\) 5.5.15785648.1 None \(0\) \(-2\) \(5\) \(-5\) \(+\) \(-\) \(+\) \(+\) \(q-\beta _{1}q^{3}+q^{5}-q^{7}+(3+\beta _{2})q^{9}-q^{11}+\cdots\)
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