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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 7 11
7623.2.a.a \(1\) \(60.870\) \(\Q\) None \(-2\) \(0\) \(-1\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{2}+2q^{4}-q^{5}+q^{7}+2q^{10}+\cdots\)
7623.2.a.b \(1\) \(60.870\) \(\Q\) None \(-2\) \(0\) \(-1\) \(1\) \(+\) \(-\) \(-\) \(q-2q^{2}+2q^{4}-q^{5}+q^{7}+2q^{10}+\cdots\)
7623.2.a.c \(1\) \(60.870\) \(\Q\) None \(-2\) \(0\) \(1\) \(-1\) \(+\) \(+\) \(-\) \(q-2q^{2}+2q^{4}+q^{5}-q^{7}-2q^{10}+\cdots\)
7623.2.a.d \(1\) \(60.870\) \(\Q\) None \(-2\) \(0\) \(3\) \(-1\) \(-\) \(+\) \(-\) \(q-2q^{2}+2q^{4}+3q^{5}-q^{7}-6q^{10}+\cdots\)
7623.2.a.e \(1\) \(60.870\) \(\Q\) None \(-1\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(-\) \(q-q^{2}-q^{4}-q^{5}-q^{7}+3q^{8}+q^{10}+\cdots\)
7623.2.a.f \(1\) \(60.870\) \(\Q\) None \(-1\) \(0\) \(2\) \(-1\) \(-\) \(+\) \(-\) \(q-q^{2}-q^{4}+2q^{5}-q^{7}+3q^{8}-2q^{10}+\cdots\)
7623.2.a.g \(1\) \(60.870\) \(\Q\) None \(-1\) \(0\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q-q^{2}-q^{4}+2q^{5}+q^{7}+3q^{8}-2q^{10}+\cdots\)
7623.2.a.h \(1\) \(60.870\) \(\Q\) None \(-1\) \(0\) \(3\) \(1\) \(-\) \(-\) \(-\) \(q-q^{2}-q^{4}+3q^{5}+q^{7}+3q^{8}-3q^{10}+\cdots\)
7623.2.a.i \(1\) \(60.870\) \(\Q\) None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(+\) \(-\) \(q-2q^{4}-3q^{5}-q^{7}+4q^{13}+4q^{16}+\cdots\)
7623.2.a.j \(1\) \(60.870\) \(\Q\) None \(0\) \(0\) \(1\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{4}+q^{5}+q^{7}+4q^{13}+4q^{16}+\cdots\)
7623.2.a.k \(1\) \(60.870\) \(\Q\) None \(0\) \(0\) \(3\) \(-1\) \(-\) \(+\) \(-\) \(q-2q^{4}+3q^{5}-q^{7}+4q^{13}+4q^{16}+\cdots\)
7623.2.a.l \(1\) \(60.870\) \(\Q\) None \(0\) \(0\) \(3\) \(1\) \(-\) \(-\) \(-\) \(q-2q^{4}+3q^{5}+q^{7}-4q^{13}+4q^{16}+\cdots\)
7623.2.a.m \(1\) \(60.870\) \(\Q\) None \(1\) \(0\) \(-1\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}-q^{4}-q^{5}+q^{7}-3q^{8}-q^{10}+\cdots\)
7623.2.a.n \(1\) \(60.870\) \(\Q\) None \(1\) \(0\) \(2\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}-q^{4}+2q^{5}+q^{7}-3q^{8}+2q^{10}+\cdots\)
7623.2.a.o \(1\) \(60.870\) \(\Q\) None \(1\) \(0\) \(3\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}-q^{4}+3q^{5}-q^{7}-3q^{8}+3q^{10}+\cdots\)
7623.2.a.p \(1\) \(60.870\) \(\Q\) None \(2\) \(0\) \(-1\) \(-1\) \(+\) \(+\) \(-\) \(q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots\)
7623.2.a.q \(1\) \(60.870\) \(\Q\) None \(2\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(-\) \(q+2q^{2}+2q^{4}-q^{5}-q^{7}-2q^{10}+\cdots\)
7623.2.a.r \(1\) \(60.870\) \(\Q\) None \(2\) \(0\) \(1\) \(1\) \(+\) \(-\) \(-\) \(q+2q^{2}+2q^{4}+q^{5}+q^{7}+2q^{10}+\cdots\)
7623.2.a.s \(1\) \(60.870\) \(\Q\) None \(2\) \(0\) \(3\) \(1\) \(-\) \(-\) \(-\) \(q+2q^{2}+2q^{4}+3q^{5}+q^{7}+6q^{10}+\cdots\)
7623.2.a.t \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(-2\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1-\beta )q^{2}+3\beta q^{4}-q^{5}-q^{7}+\cdots\)
7623.2.a.u \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(-1\) \(2\) \(-\) \(-\) \(+\) \(q+(-1-\beta )q^{2}+3\beta q^{4}-\beta q^{5}+q^{7}+\cdots\)
7623.2.a.v \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-3\) \(0\) \(2\) \(-2\) \(+\) \(+\) \(-\) \(q+(-1-\beta )q^{2}+3\beta q^{4}+q^{5}-q^{7}+\cdots\)
7623.2.a.w \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(q-q^{2}-q^{4}+(-2+3\beta )q^{5}-q^{7}+3q^{8}+\cdots\)
7623.2.a.x \(2\) \(60.870\) \(\Q(\sqrt{3}) \) None \(-2\) \(0\) \(4\) \(-2\) \(-\) \(+\) \(-\) \(q+(-1+\beta )q^{2}+(2-2\beta )q^{4}+(2-\beta )q^{5}+\cdots\)
7623.2.a.y \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(0\) \(2\) \(-\) \(-\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots\)
7623.2.a.z \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(1\) \(2\) \(-\) \(-\) \(-\) \(q-\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{5}+q^{7}+\cdots\)
7623.2.a.ba \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(3\) \(2\) \(-\) \(-\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}+q^{7}+\cdots\)
7623.2.a.bb \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(-1\) \(0\) \(4\) \(-2\) \(-\) \(+\) \(+\) \(q-\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{5}+\cdots\)
7623.2.a.bc \(2\) \(60.870\) \(\Q(\sqrt{13}) \) None \(-1\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+(1+\beta )q^{4}+(1-2\beta )q^{5}-q^{7}+\cdots\)
7623.2.a.bd \(2\) \(60.870\) \(\Q(\sqrt{13}) \) None \(-1\) \(0\) \(2\) \(2\) \(+\) \(-\) \(-\) \(q-\beta q^{2}+(1+\beta )q^{4}+q^{5}+q^{7}-3q^{8}+\cdots\)
7623.2.a.be \(2\) \(60.870\) \(\Q(\sqrt{17}) \) None \(-1\) \(0\) \(-2\) \(2\) \(-\) \(-\) \(-\) \(q-\beta q^{2}+(2+\beta )q^{4}-q^{5}+q^{7}+(-4+\cdots)q^{8}+\cdots\)
7623.2.a.bf \(2\) \(60.870\) \(\Q(\sqrt{21}) \) None \(-1\) \(0\) \(-6\) \(-2\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+(3+\beta )q^{4}-3q^{5}-q^{7}+(-5+\cdots)q^{8}+\cdots\)
7623.2.a.bg \(2\) \(60.870\) \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q-2q^{4}-\beta q^{5}-q^{7}+2q^{13}+4q^{16}+\cdots\)
7623.2.a.bh \(2\) \(60.870\) \(\Q(\sqrt{13}) \) None \(0\) \(0\) \(0\) \(2\) \(+\) \(-\) \(-\) \(q-2q^{4}-\beta q^{5}+q^{7}-2q^{13}+4q^{16}+\cdots\)
7623.2.a.bi \(2\) \(60.870\) \(\Q(\sqrt{3}) \) None \(0\) \(0\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q+\beta q^{2}+q^{4}+2\beta q^{5}-q^{7}-\beta q^{8}+\cdots\)
7623.2.a.bj \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-1\) \(-2\) \(-\) \(+\) \(-\) \(q+(1-2\beta )q^{2}+3q^{4}-\beta q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots\)
7623.2.a.bk \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(-1\) \(2\) \(-\) \(-\) \(+\) \(q+(1-2\beta )q^{2}+3q^{4}+(-1+\beta )q^{5}+\cdots\)
7623.2.a.bl \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(0\) \(0\) \(4\) \(-2\) \(-\) \(+\) \(-\) \(q-\beta q^{2}+3q^{4}+2q^{5}-q^{7}-\beta q^{8}+\cdots\)
7623.2.a.bm \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(-2\) \(-2\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+(-1+\beta )q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots\)
7623.2.a.bn \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(0\) \(-2\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{4}+(-1+2\beta )q^{5}+\cdots\)
7623.2.a.bo \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(1\) \(-2\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{4}+(1-\beta )q^{5}-q^{7}+\cdots\)
7623.2.a.bp \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(3\) \(-2\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+(-1+\beta )q^{4}+(1+\beta )q^{5}-q^{7}+\cdots\)
7623.2.a.bq \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(1\) \(0\) \(4\) \(2\) \(-\) \(-\) \(+\) \(q+\beta q^{2}+(-1+\beta )q^{4}+(1+2\beta )q^{5}+\cdots\)
7623.2.a.br \(2\) \(60.870\) \(\Q(\sqrt{13}) \) None \(1\) \(0\) \(-2\) \(2\) \(+\) \(-\) \(-\) \(q+\beta q^{2}+(1+\beta )q^{4}-q^{5}+q^{7}+3q^{8}+\cdots\)
7623.2.a.bs \(2\) \(60.870\) \(\Q(\sqrt{13}) \) None \(1\) \(0\) \(0\) \(2\) \(-\) \(-\) \(-\) \(q+\beta q^{2}+(1+\beta )q^{4}+(1-2\beta )q^{5}+q^{7}+\cdots\)
7623.2.a.bt \(2\) \(60.870\) \(\Q(\sqrt{17}) \) None \(1\) \(0\) \(-2\) \(-2\) \(-\) \(+\) \(-\) \(q+\beta q^{2}+(2+\beta )q^{4}-q^{5}-q^{7}+(4+\beta )q^{8}+\cdots\)
7623.2.a.bu \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-1\) \(2\) \(-\) \(-\) \(+\) \(q+q^{2}-q^{4}+(-2+3\beta )q^{5}+q^{7}-3q^{8}+\cdots\)
7623.2.a.bv \(2\) \(60.870\) \(\Q(\sqrt{3}) \) None \(2\) \(0\) \(4\) \(2\) \(-\) \(-\) \(-\) \(q+(1+\beta )q^{2}+(2+2\beta )q^{4}+(2+\beta )q^{5}+\cdots\)
7623.2.a.bw \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(-2\) \(-2\) \(+\) \(+\) \(-\) \(q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}-q^{7}+(1+\cdots)q^{8}+\cdots\)
7623.2.a.bx \(2\) \(60.870\) \(\Q(\sqrt{5}) \) None \(3\) \(0\) \(-2\) \(2\) \(-\) \(-\) \(-\) \(q+(1+\beta )q^{2}+3\beta q^{4}-q^{5}+q^{7}+(1+\cdots)q^{8}+\cdots\)
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