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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 2 11 19
4598.2.a.a \(1\) \(36.715\) \(\Q\) None \(-1\) \(-1\) \(-4\) \(-3\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}-4q^{5}+q^{6}-3q^{7}+\cdots\)
4598.2.a.b \(1\) \(36.715\) \(\Q\) None \(-1\) \(-1\) \(-2\) \(3\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}+q^{4}-2q^{5}+q^{6}+3q^{7}+\cdots\)
4598.2.a.c \(1\) \(36.715\) \(\Q\) None \(-1\) \(-1\) \(2\) \(3\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+2q^{5}+q^{6}+3q^{7}+\cdots\)
4598.2.a.d \(1\) \(36.715\) \(\Q\) None \(-1\) \(0\) \(-1\) \(4\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}-q^{5}+4q^{7}-q^{8}-3q^{9}+\cdots\)
4598.2.a.e \(1\) \(36.715\) \(\Q\) None \(-1\) \(0\) \(0\) \(-3\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}-3q^{7}-q^{8}-3q^{9}-q^{13}+\cdots\)
4598.2.a.f \(1\) \(36.715\) \(\Q\) None \(-1\) \(0\) \(2\) \(-2\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+2q^{5}-2q^{7}-q^{8}-3q^{9}+\cdots\)
4598.2.a.g \(1\) \(36.715\) \(\Q\) None \(-1\) \(0\) \(4\) \(-1\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+4q^{5}-q^{7}-q^{8}-3q^{9}+\cdots\)
4598.2.a.h \(1\) \(36.715\) \(\Q\) None \(-1\) \(1\) \(0\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
4598.2.a.i \(1\) \(36.715\) \(\Q\) None \(-1\) \(2\) \(-2\) \(-4\) \(+\) \(+\) \(-\) \(q-q^{2}+2q^{3}+q^{4}-2q^{5}-2q^{6}-4q^{7}+\cdots\)
4598.2.a.j \(1\) \(36.715\) \(\Q\) None \(-1\) \(3\) \(-2\) \(-1\) \(+\) \(-\) \(+\) \(q-q^{2}+3q^{3}+q^{4}-2q^{5}-3q^{6}-q^{7}+\cdots\)
4598.2.a.k \(1\) \(36.715\) \(\Q\) None \(-1\) \(3\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{2}+3q^{3}+q^{4}-3q^{6}-q^{8}+6q^{9}+\cdots\)
4598.2.a.l \(1\) \(36.715\) \(\Q\) None \(1\) \(-1\) \(2\) \(-3\) \(-\) \(-\) \(+\) \(q+q^{2}-q^{3}+q^{4}+2q^{5}-q^{6}-3q^{7}+\cdots\)
4598.2.a.m \(1\) \(36.715\) \(\Q\) None \(1\) \(0\) \(-1\) \(-4\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}-q^{5}-4q^{7}+q^{8}-3q^{9}+\cdots\)
4598.2.a.n \(1\) \(36.715\) \(\Q\) None \(1\) \(0\) \(0\) \(3\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+3q^{7}+q^{8}-3q^{9}+q^{13}+\cdots\)
4598.2.a.o \(1\) \(36.715\) \(\Q\) None \(1\) \(0\) \(4\) \(1\) \(-\) \(-\) \(-\) \(q+q^{2}+q^{4}+4q^{5}+q^{7}+q^{8}-3q^{9}+\cdots\)
4598.2.a.p \(1\) \(36.715\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
4598.2.a.q \(1\) \(36.715\) \(\Q\) None \(1\) \(1\) \(0\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+q^{7}+q^{8}+\cdots\)
4598.2.a.r \(1\) \(36.715\) \(\Q\) None \(1\) \(2\) \(-2\) \(4\) \(-\) \(+\) \(+\) \(q+q^{2}+2q^{3}+q^{4}-2q^{5}+2q^{6}+4q^{7}+\cdots\)
4598.2.a.s \(1\) \(36.715\) \(\Q\) None \(1\) \(3\) \(0\) \(0\) \(-\) \(-\) \(-\) \(q+q^{2}+3q^{3}+q^{4}+3q^{6}+q^{8}+6q^{9}+\cdots\)
4598.2.a.t \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(-4\) \(1\) \(3\) \(+\) \(-\) \(+\) \(q-q^{2}-2q^{3}+q^{4}+(1-\beta )q^{5}+2q^{6}+\cdots\)
4598.2.a.u \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(-3\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}+q^{6}+\cdots\)
4598.2.a.v \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(-2\) \(1\) \(1\) \(+\) \(-\) \(+\) \(q-q^{2}-2\beta q^{3}+q^{4}+(-1+3\beta )q^{5}+\cdots\)
4598.2.a.w \(2\) \(36.715\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(2\) \(4\) \(+\) \(+\) \(-\) \(q-q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}+q^{6}+\cdots\)
4598.2.a.x \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(-1\) \(-1\) \(-1\) \(+\) \(+\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}-\beta q^{5}+\beta q^{6}+(1+\cdots)q^{7}+\cdots\)
4598.2.a.y \(2\) \(36.715\) \(\Q(\sqrt{21}) \) None \(-2\) \(-1\) \(3\) \(5\) \(+\) \(-\) \(+\) \(q-q^{2}-\beta q^{3}+q^{4}+(2-\beta )q^{5}+\beta q^{6}+\cdots\)
4598.2.a.z \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-1\) \(1\) \(+\) \(-\) \(+\) \(q-q^{2}+q^{4}+(1-3\beta )q^{5}+(1-\beta )q^{7}+\cdots\)
4598.2.a.ba \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(-2\) \(0\) \(-1\) \(1\) \(+\) \(-\) \(+\) \(q-q^{2}+(1-2\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
4598.2.a.bb \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(2\) \(-4\) \(1\) \(-3\) \(-\) \(+\) \(-\) \(q+q^{2}-2q^{3}+q^{4}+\beta q^{5}-2q^{6}-3\beta q^{7}+\cdots\)
4598.2.a.bc \(2\) \(36.715\) \(\Q(\sqrt{13}) \) None \(2\) \(-3\) \(-1\) \(1\) \(-\) \(-\) \(+\) \(q+q^{2}+(-1-\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
4598.2.a.bd \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(-3\) \(1\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(-1-\beta )q^{5}-q^{6}+\cdots\)
4598.2.a.be \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(2\) \(-2\) \(1\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}-2\beta q^{3}+q^{4}+(-1+3\beta )q^{5}+\cdots\)
4598.2.a.bf \(2\) \(36.715\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(2\) \(-4\) \(-\) \(+\) \(+\) \(q+q^{2}-q^{3}+q^{4}+(1+\beta )q^{5}-q^{6}+\cdots\)
4598.2.a.bg \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(2\) \(-1\) \(-1\) \(1\) \(-\) \(+\) \(-\) \(q+q^{2}-\beta q^{3}+q^{4}-\beta q^{5}-\beta q^{6}+(-1+\cdots)q^{7}+\cdots\)
4598.2.a.bh \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}+q^{4}+(1-3\beta )q^{5}+(-1+\beta )q^{7}+\cdots\)
4598.2.a.bi \(2\) \(36.715\) \(\Q(\sqrt{5}) \) None \(2\) \(0\) \(-1\) \(-1\) \(-\) \(+\) \(-\) \(q+q^{2}+(1-2\beta )q^{3}+q^{4}+(-1+\beta )q^{5}+\cdots\)
4598.2.a.bj \(2\) \(36.715\) \(\Q(\sqrt{17}) \) None \(2\) \(1\) \(4\) \(-3\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta q^{3}+q^{4}+2q^{5}+\beta q^{6}+(-2+\cdots)q^{7}+\cdots\)
4598.2.a.bk \(3\) \(36.715\) 3.3.568.1 None \(-3\) \(-2\) \(-1\) \(2\) \(+\) \(-\) \(-\) \(q-q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots\)
4598.2.a.bl \(3\) \(36.715\) 3.3.404.1 None \(-3\) \(1\) \(4\) \(3\) \(+\) \(-\) \(+\) \(q-q^{2}+\beta _{2}q^{3}+q^{4}+(1+2\beta _{1}-\beta _{2})q^{5}+\cdots\)
4598.2.a.bm \(3\) \(36.715\) 3.3.469.1 None \(-3\) \(1\) \(5\) \(-1\) \(+\) \(-\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(2-\beta _{1})q^{5}-\beta _{1}q^{6}+\cdots\)
4598.2.a.bn \(3\) \(36.715\) 3.3.568.1 None \(3\) \(-2\) \(-1\) \(-2\) \(-\) \(-\) \(+\) \(q+q^{2}+(-1+\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+\cdots\)
4598.2.a.bo \(3\) \(36.715\) 3.3.621.1 None \(3\) \(0\) \(-3\) \(6\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(-1-\beta _{1}-\beta _{2})q^{5}+\cdots\)
4598.2.a.bp \(3\) \(36.715\) 3.3.404.1 None \(3\) \(1\) \(4\) \(-3\) \(-\) \(-\) \(-\) \(q+q^{2}+\beta _{2}q^{3}+q^{4}+(1+2\beta _{1}-\beta _{2})q^{5}+\cdots\)
4598.2.a.bq \(4\) \(36.715\) 4.4.7488.1 None \(-4\) \(-2\) \(-2\) \(4\) \(+\) \(+\) \(+\) \(q-q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
4598.2.a.br \(4\) \(36.715\) 4.4.33452.1 None \(-4\) \(1\) \(3\) \(1\) \(+\) \(+\) \(-\) \(q-q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+\cdots\)
4598.2.a.bs \(4\) \(36.715\) 4.4.258228.1 None \(-4\) \(2\) \(-2\) \(-3\) \(+\) \(-\) \(+\) \(q-q^{2}+(1-\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+(-1+\cdots)q^{6}+\cdots\)
4598.2.a.bt \(4\) \(36.715\) 4.4.7488.1 None \(4\) \(-2\) \(-2\) \(-4\) \(-\) \(+\) \(-\) \(q+q^{2}+(-1-\beta _{3})q^{3}+q^{4}+(-1+\beta _{1}+\cdots)q^{5}+\cdots\)
4598.2.a.bu \(4\) \(36.715\) 4.4.33452.1 None \(4\) \(1\) \(3\) \(-1\) \(-\) \(+\) \(+\) \(q+q^{2}+\beta _{1}q^{3}+q^{4}+(1+\beta _{2}+\beta _{3})q^{5}+\cdots\)
4598.2.a.bv \(4\) \(36.715\) 4.4.258228.1 None \(4\) \(2\) \(-2\) \(3\) \(-\) \(-\) \(-\) \(q+q^{2}+(1-\beta _{1})q^{3}+q^{4}-\beta _{1}q^{5}+(1+\cdots)q^{6}+\cdots\)
4598.2.a.bw \(8\) \(36.715\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(-2\) \(-2\) \(14\) \(+\) \(+\) \(-\) \(q-q^{2}-\beta _{1}q^{3}+q^{4}+(-\beta _{1}-\beta _{3}-\beta _{6}+\cdots)q^{5}+\cdots\)
4598.2.a.bx \(8\) \(36.715\) \(\mathbb{Q}[x]/(x^{8} - \cdots)\) None \(-8\) \(0\) \(2\) \(-8\) \(+\) \(-\) \(-\) \(q-q^{2}+(\beta _{2}+\beta _{4}-\beta _{6})q^{3}+q^{4}-\beta _{3}q^{5}+\cdots\)
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