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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
1584.1.j.a \(1\) \(0.791\) \(\Q\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(1\) \(0\) \(q+q^{5}+q^{11}-q^{23}+q^{31}-q^{37}+\cdots\)
1584.1.bf.a \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(-2\) \(0\) \(q-q^{3}+\zeta_{6}^{2}q^{5}+q^{9}+\zeta_{6}q^{11}-2\zeta_{6}^{2}q^{15}+\cdots\)
1584.1.bf.b \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(1\) \(1\) \(0\) \(q-\zeta_{6}^{2}q^{3}-\zeta_{6}^{2}q^{5}-\zeta_{6}q^{9}+\zeta_{6}q^{11}+\cdots\)
1584.1.bf.c \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(1\) \(1\) \(0\) \(q+\zeta_{6}q^{3}-\zeta_{6}^{2}q^{5}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots\)
1584.1.bk.a \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-2\) \(0\) \(0\) \(q-q^{3}+q^{9}-\zeta_{6}q^{11}-\zeta_{6}^{2}q^{23}-\zeta_{6}q^{25}+\cdots\)
1584.1.bk.b \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-1\) \(-3\) \(0\) \(q+\zeta_{6}^{2}q^{3}+(-1-\zeta_{6})q^{5}-\zeta_{6}q^{9}+\cdots\)
1584.1.bk.c \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(-1\) \(3\) \(0\) \(q-\zeta_{6}q^{3}+(1+\zeta_{6})q^{5}+\zeta_{6}^{2}q^{9}+\zeta_{6}q^{11}+\cdots\)
1584.1.bk.d \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(1\) \(-3\) \(0\) \(q-\zeta_{6}^{2}q^{3}+(-1-\zeta_{6})q^{5}-\zeta_{6}q^{9}+\cdots\)
1584.1.bk.e \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(1\) \(3\) \(0\) \(q+\zeta_{6}q^{3}+(1+\zeta_{6})q^{5}+\zeta_{6}^{2}q^{9}-\zeta_{6}q^{11}+\cdots\)
1584.1.bk.f \(2\) \(0.791\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(0\) \(0\) \(q+q^{3}+q^{9}+\zeta_{6}q^{11}+\zeta_{6}^{2}q^{23}-\zeta_{6}q^{25}+\cdots\)
1584.2.a.a \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-4\) \(2\) \(-\) \(q-4q^{5}+2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots\)
1584.2.a.b \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-4\) \(2\) \(+\) \(q-4q^{5}+2q^{7}+q^{11}-2q^{13}+2q^{17}+\cdots\)
1584.2.a.c \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-2\) \(-2\) \(+\) \(q-2q^{5}-2q^{7}-q^{11}+6q^{13}+4q^{17}+\cdots\)
1584.2.a.d \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-2q^{5}+q^{11}+2q^{13}-6q^{17}+4q^{23}+\cdots\)
1584.2.a.e \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-2\) \(2\) \(-\) \(q-2q^{5}+2q^{7}+q^{11}-2q^{13}-4q^{17}+\cdots\)
1584.2.a.f \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-2\) \(4\) \(+\) \(q-2q^{5}+4q^{7}-q^{11}-6q^{13}-2q^{17}+\cdots\)
1584.2.a.g \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(-1\) \(2\) \(-\) \(q-q^{5}+2q^{7}+q^{11}+4q^{13}+2q^{17}+\cdots\)
1584.2.a.h \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}-q^{11}-4q^{13}+6q^{17}+4q^{19}+\cdots\)
1584.2.a.i \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(0\) \(-2\) \(-\) \(q-2q^{7}-q^{11}+2q^{13}+6q^{17}-2q^{19}+\cdots\)
1584.2.a.j \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}+q^{11}+2q^{17}-8q^{19}-2q^{23}+\cdots\)
1584.2.a.k \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(0\) \(-2\) \(+\) \(q-2q^{7}+q^{11}+2q^{13}-6q^{17}-2q^{19}+\cdots\)
1584.2.a.l \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(0\) \(2\) \(+\) \(q+2q^{7}-q^{11}-6q^{13}-6q^{17}+2q^{19}+\cdots\)
1584.2.a.m \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(0\) \(2\) \(-\) \(q+2q^{7}+q^{11}-6q^{13}+6q^{17}+2q^{19}+\cdots\)
1584.2.a.n \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(2\) \(-4\) \(-\) \(q+2q^{5}-4q^{7}-q^{11}+6q^{13}-6q^{17}+\cdots\)
1584.2.a.o \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(2\) \(-4\) \(-\) \(q+2q^{5}-4q^{7}+q^{11}-2q^{13}+2q^{17}+\cdots\)
1584.2.a.p \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(3\) \(-2\) \(+\) \(q+3q^{5}-2q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots\)
1584.2.a.q \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(3\) \(2\) \(-\) \(q+3q^{5}+2q^{7}-q^{11}+6q^{17}-4q^{19}+\cdots\)
1584.2.a.r \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(4\) \(2\) \(-\) \(q+4q^{5}+2q^{7}-q^{11}-2q^{13}-2q^{17}+\cdots\)
1584.2.a.s \(1\) \(12.648\) \(\Q\) None None \(0\) \(0\) \(4\) \(2\) \(-\) \(q+4q^{5}+2q^{7}+q^{11}+4q^{13}+2q^{17}+\cdots\)
1584.2.a.t \(2\) \(12.648\) \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-3\) \(2\) \(-\) \(q+(-1-\beta )q^{5}+(2-2\beta )q^{7}-q^{11}+\cdots\)
1584.2.a.u \(2\) \(12.648\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(-4\) \(+\) \(q+\beta q^{5}+(-2-\beta )q^{7}-q^{11}+(2-\beta )q^{13}+\cdots\)
1584.2.a.v \(2\) \(12.648\) \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(0\) \(-4\) \(-\) \(q+\beta q^{5}+(-2+\beta )q^{7}+q^{11}+(2+\beta )q^{13}+\cdots\)
1584.2.b.a \(2\) \(12.648\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+2\beta q^{5}+(-3-\beta )q^{11}-3\beta q^{13}+\cdots\)
1584.2.b.b \(2\) \(12.648\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}+3\beta q^{7}+(-3+\beta )q^{11}+6q^{17}+\cdots\)
1584.2.b.c \(2\) \(12.648\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}-3\beta q^{7}+(3+\beta )q^{11}-6q^{17}+\cdots\)
1584.2.b.d \(2\) \(12.648\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+2\beta q^{5}+(3-\beta )q^{11}+3\beta q^{13}+6q^{17}+\cdots\)
1584.2.b.e \(4\) \(12.648\) \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{5}+\beta _{3}q^{7}+(2\beta _{1}-\beta _{2})q^{11}+\cdots\)
1584.2.b.f \(6\) \(12.648\) 6.0.12781568.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{5}+(\beta _{2}+\beta _{4})q^{7}+(\beta _{3}+\beta _{4})q^{11}+\cdots\)
1584.2.b.g \(6\) \(12.648\) 6.0.12781568.1 None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{1}q^{5}+(-\beta _{2}-\beta _{4})q^{7}+(-\beta _{3}+\beta _{4}+\cdots)q^{11}+\cdots\)
1584.2.d.a \(2\) \(12.648\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}-2\beta q^{7}-q^{11}+\beta q^{17}-2\beta q^{19}+\cdots\)
1584.2.d.b \(2\) \(12.648\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta q^{5}+2\beta q^{7}+q^{11}+\beta q^{17}+2\beta q^{19}+\cdots\)
1584.2.d.c \(8\) \(12.648\) 8.0.1768034304.5 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{5}-\beta _{4}q^{7}-q^{11}+(-1+\beta _{3}+\cdots)q^{13}+\cdots\)
1584.2.d.d \(8\) \(12.648\) 8.0.1768034304.5 None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{4}q^{5}+\beta _{4}q^{7}+q^{11}+(-1+\beta _{3}+\cdots)q^{13}+\cdots\)
1584.2.o.a \(2\) \(12.648\) \(\Q(\sqrt{-11}) \) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(-6\) \(0\) \(q-3q^{5}-\beta q^{11}+\beta q^{23}+4q^{25}+3\beta q^{31}+\cdots\)
1584.2.o.b \(4\) \(12.648\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{2}q^{5}+\beta _{2}q^{7}+(-3+\beta _{1})q^{11}+\cdots\)
1584.2.o.c \(4\) \(12.648\) \(\Q(\sqrt{6}, \sqrt{-11})\) \(\Q(\sqrt{-33}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{1}q^{7}-\beta _{3}q^{11}+\beta _{2}q^{17}+3\beta _{1}q^{19}+\cdots\)
1584.2.o.d \(4\) \(12.648\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(0\) \(q+\beta _{2}q^{5}+\beta _{2}q^{7}+(3-\beta _{1})q^{11}-3\beta _{1}q^{13}+\cdots\)
1584.2.o.e \(4\) \(12.648\) \(\Q(\sqrt{-3}, \sqrt{-11})\) \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(6\) \(0\) \(q+(1+\beta _{3})q^{5}+(2\beta _{1}-\beta _{2})q^{11}+(\beta _{1}+\cdots)q^{23}+\cdots\)
1584.2.o.f \(4\) \(12.648\) \(\Q(i, \sqrt{10})\) None None \(0\) \(0\) \(8\) \(0\) \(q+2q^{5}+\beta _{3}q^{7}+(-\beta _{1}+\beta _{3})q^{11}+\cdots\)
1584.2.o.g \(8\) \(12.648\) 8.0.454201344.7 None None \(0\) \(0\) \(-8\) \(0\) \(q+(-1-\beta _{1})q^{5}+\beta _{6}q^{7}+(\beta _{3}-\beta _{5}+\cdots)q^{11}+\cdots\)
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