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Label Dim. \(A\) Field CM Traces A-L signs $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\) 3 5 11
9075.2.a.c \(1\) \(72.464\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-4\) \(+\) \(-\) \(+\) \(q-q^{2}-q^{3}-q^{4}+q^{6}-4q^{7}+3q^{8}+\cdots\)
9075.2.a.i \(1\) \(72.464\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}-q^{7}+q^{9}+2q^{12}-q^{13}+\cdots\)
9075.2.a.j \(1\) \(72.464\) \(\Q\) None \(0\) \(-1\) \(0\) \(-1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}-q^{7}+q^{9}+2q^{12}+2q^{13}+\cdots\)
9075.2.a.k \(1\) \(72.464\) \(\Q\) None \(0\) \(-1\) \(0\) \(1\) \(+\) \(+\) \(-\) \(q-q^{3}-2q^{4}+q^{7}+q^{9}+2q^{12}-2q^{13}+\cdots\)
9075.2.a.l \(1\) \(72.464\) \(\Q\) None \(0\) \(1\) \(0\) \(1\) \(-\) \(-\) \(-\) \(q+q^{3}-2q^{4}+q^{7}+q^{9}-2q^{12}+q^{13}+\cdots\)
9075.2.a.o \(1\) \(72.464\) \(\Q\) None \(1\) \(-1\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+q^{2}-q^{3}-q^{4}-q^{6}+4q^{7}-3q^{8}+\cdots\)
9075.2.a.y \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.z \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(-1\) \(-2\) \(0\) \(-6\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.bf \(2\) \(72.464\) \(\Q(\sqrt{15}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-q^{3}-2q^{4}+\beta q^{7}+q^{9}+2q^{12}+\cdots\)
9075.2.a.bg \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bh \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(-2\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+q^{4}-\beta q^{6}+2q^{7}-\beta q^{8}+\cdots\)
9075.2.a.bj \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{8}+\cdots\)
9075.2.a.bk \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q-\beta q^{2}-q^{3}+3q^{4}+\beta q^{6}-\beta q^{7}+\cdots\)
9075.2.a.bl \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}+\beta q^{7}+q^{9}-2q^{12}+\cdots\)
9075.2.a.bm \(2\) \(72.464\) \(\Q(\sqrt{15}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+q^{3}-2q^{4}+\beta q^{7}+q^{9}-2q^{12}+\cdots\)
9075.2.a.bn \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bo \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-2\beta q^{7}+\cdots\)
9075.2.a.bp \(2\) \(72.464\) \(\Q(\sqrt{3}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+q^{4}+\beta q^{6}-\beta q^{8}+q^{9}+\cdots\)
9075.2.a.br \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-\beta q^{2}+q^{3}+3q^{4}-\beta q^{6}-\beta q^{7}+\cdots\)
9075.2.a.bv \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(-2\) \(0\) \(6\) \(+\) \(+\) \(-\) \(q+\beta q^{2}-q^{3}+(-1+\beta )q^{4}-\beta q^{6}+\cdots\)
9075.2.a.by \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(6\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.bz \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(1\) \(2\) \(0\) \(6\) \(-\) \(+\) \(+\) \(q+\beta q^{2}+q^{3}+(-1+\beta )q^{4}+\beta q^{6}+\cdots\)
9075.2.a.cb \(2\) \(72.464\) \(\Q(\sqrt{5}) \) None \(3\) \(2\) \(0\) \(2\) \(-\) \(+\) \(+\) \(q+(1+\beta )q^{2}+q^{3}+3\beta q^{4}+(1+\beta )q^{6}+\cdots\)
9075.2.a.cd \(3\) \(72.464\) 3.3.568.1 None \(-2\) \(3\) \(0\) \(3\) \(-\) \(-\) \(-\) \(q+(-1+\beta _{1})q^{2}+q^{3}+(3+\beta _{2})q^{4}+\cdots\)
9075.2.a.ce \(3\) \(72.464\) 3.3.469.1 None \(-1\) \(-3\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.cf \(3\) \(72.464\) 3.3.148.1 None \(-1\) \(-3\) \(0\) \(0\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{1}+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.cg \(3\) \(72.464\) 3.3.148.1 None \(-1\) \(3\) \(0\) \(-4\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(\beta _{1}+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.ci \(3\) \(72.464\) 3.3.469.1 None \(1\) \(-3\) \(0\) \(3\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.cj \(3\) \(72.464\) 3.3.568.1 None \(2\) \(-3\) \(0\) \(-3\) \(+\) \(+\) \(-\) \(q+(1-\beta _{1})q^{2}-q^{3}+(3+\beta _{2})q^{4}+(-1+\cdots)q^{6}+\cdots\)
9075.2.a.ck \(3\) \(72.464\) 3.3.148.1 None \(3\) \(3\) \(0\) \(8\) \(-\) \(-\) \(-\) \(q+(1+\beta _{2})q^{2}+q^{3}+(2-\beta _{1}+\beta _{2})q^{4}+\cdots\)
9075.2.a.cm \(4\) \(72.464\) 4.4.725.1 None \(-3\) \(-4\) \(0\) \(-6\) \(+\) \(+\) \(-\) \(q+(-1+\beta _{1})q^{2}-q^{3}+(-\beta _{1}+\beta _{2}+\cdots)q^{4}+\cdots\)
9075.2.a.co \(4\) \(72.464\) \(\Q(\zeta_{15})^+\) None \(-1\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+(\beta _{2}+\beta _{3})q^{2}+q^{3}+\beta _{1}q^{4}+(\beta _{2}+\beta _{3})q^{6}+\cdots\)
9075.2.a.cp \(4\) \(72.464\) 4.4.5725.1 None \(-1\) \(4\) \(0\) \(-4\) \(-\) \(+\) \(+\) \(q+(\beta _{1}-\beta _{2})q^{2}+q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)
9075.2.a.cq \(4\) \(72.464\) 4.4.5725.1 None \(-1\) \(4\) \(0\) \(8\) \(-\) \(+\) \(+\) \(q+(\beta _{1}-\beta _{2})q^{2}+q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)
9075.2.a.cr \(4\) \(72.464\) \(\Q(\zeta_{24})^+\) None \(0\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{2}q^{2}-q^{3}-\beta _{2}q^{6}-\beta _{1}q^{7}-2\beta _{2}q^{8}+\cdots\)
9075.2.a.cs \(4\) \(72.464\) \(\Q(\sqrt{3}, \sqrt{7})\) None \(0\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{3}q^{2}-q^{3}-\beta _{2}q^{4}-\beta _{3}q^{6}-2\beta _{3}q^{7}+\cdots\)
9075.2.a.cw \(4\) \(72.464\) \(\Q(\sqrt{3}, \sqrt{11})\) None \(0\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+\beta _{1}q^{2}-q^{3}+(2+\beta _{3})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.cx \(4\) \(72.464\) \(\Q(\sqrt{3}, \sqrt{5})\) None \(0\) \(-4\) \(0\) \(0\) \(+\) \(-\) \(+\) \(q+(\beta _{1}+\beta _{2})q^{2}-q^{3}+(2+\beta _{3})q^{4}+(-\beta _{1}+\cdots)q^{6}+\cdots\)
9075.2.a.db \(4\) \(72.464\) \(\Q(\sqrt{3}, \sqrt{11})\) None \(0\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{3})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.dc \(4\) \(72.464\) 4.4.8112.1 None \(0\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q-\beta _{2}q^{2}+q^{3}+(2-\beta _{3})q^{4}-\beta _{2}q^{6}+\cdots\)
9075.2.a.dd \(4\) \(72.464\) \(\Q(\sqrt{3}, \sqrt{5})\) None \(0\) \(4\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+(\beta _{1}+\beta _{2})q^{2}+q^{3}+(2+\beta _{3})q^{4}+(\beta _{1}+\cdots)q^{6}+\cdots\)
9075.2.a.de \(4\) \(72.464\) 4.4.5725.1 None \(1\) \(-4\) \(0\) \(4\) \(+\) \(-\) \(+\) \(q+(-\beta _{1}+\beta _{2})q^{2}-q^{3}+(3-\beta _{2}-\beta _{3})q^{4}+\cdots\)
9075.2.a.dj \(4\) \(72.464\) 4.4.725.1 None \(5\) \(-4\) \(0\) \(-2\) \(+\) \(+\) \(-\) \(q+(2-\beta _{1}-\beta _{2})q^{2}-q^{3}+(3-\beta _{1}-2\beta _{2}+\cdots)q^{4}+\cdots\)
9075.2.a.dk \(5\) \(72.464\) 5.5.9444552.1 None \(-1\) \(-5\) \(0\) \(4\) \(+\) \(+\) \(-\) \(q-\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.dl \(5\) \(72.464\) 5.5.9444552.1 None \(-1\) \(5\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.dm \(5\) \(72.464\) 5.5.9444552.1 None \(1\) \(-5\) \(0\) \(-4\) \(+\) \(+\) \(-\) \(q+\beta _{1}q^{2}-q^{3}+(1+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.dn \(5\) \(72.464\) 5.5.9444552.1 None \(1\) \(5\) \(0\) \(-4\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(1+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.dp \(6\) \(72.464\) 6.6.860280160.1 None \(-1\) \(6\) \(0\) \(4\) \(-\) \(-\) \(-\) \(q-\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}-\beta _{1}q^{6}+\cdots\)
9075.2.a.dq \(6\) \(72.464\) 6.6.437199552.1 None \(0\) \(6\) \(0\) \(0\) \(-\) \(+\) \(+\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
9075.2.a.ds \(6\) \(72.464\) 6.6.860280160.1 None \(1\) \(6\) \(0\) \(-4\) \(-\) \(-\) \(-\) \(q+\beta _{1}q^{2}+q^{3}+(2+\beta _{2})q^{4}+\beta _{1}q^{6}+\cdots\)
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