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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
3024.1.f.a \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+(-\zeta_{6}+\cdots)q^{19}+\cdots\)
3024.1.f.b \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) None \(\Q(\sqrt{21}) \) \(0\) \(0\) \(0\) \(2\) \(q+(-\zeta_{6}-\zeta_{6}^{2})q^{5}+q^{7}+(-\zeta_{6}-\zeta_{6}^{2}+\cdots)q^{17}+\cdots\)
3024.1.o.a \(2\) \(1.509\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\beta q^{5}-q^{7}-\beta q^{11}+q^{19}+\beta q^{23}+\cdots\)
3024.1.o.b \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}-q^{19}+\cdots\)
3024.1.o.c \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q-\zeta_{6}^{2}q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+q^{19}+\cdots\)
3024.1.o.d \(2\) \(1.509\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-21}) \) None \(0\) \(0\) \(0\) \(2\) \(q-\beta q^{5}+q^{7}+\beta q^{11}-q^{19}-\beta q^{23}+\cdots\)
3024.1.bk.a \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}+\zeta_{6}q^{19}+\cdots\)
3024.1.bk.b \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}+\zeta_{6}^{2}q^{31}+\cdots\)
3024.1.bk.c \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q-\zeta_{6}^{2}q^{7}-\zeta_{6}q^{19}-\zeta_{6}^{2}q^{25}-\zeta_{6}^{2}q^{31}+\cdots\)
3024.1.bk.d \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+q^{7}+(-\zeta_{6}-\zeta_{6}^{2})q^{13}-\zeta_{6}q^{19}+\cdots\)
3024.1.bw.a \(4\) \(1.509\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(0\) \(q-\zeta_{12}^{2}q^{5}-\zeta_{12}^{3}q^{7}+\zeta_{12}q^{11}+\cdots\)
3024.1.cd.a \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}+q^{13}+\zeta_{6}q^{25}+(1-\zeta_{6}^{2})q^{31}+\cdots\)
3024.1.cd.b \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q-\zeta_{6}q^{7}-q^{13}+(-1-\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots\)
3024.1.cd.c \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q+\zeta_{6}q^{7}-q^{13}+(1+\zeta_{6})q^{19}+\zeta_{6}q^{25}+\cdots\)
3024.1.cd.d \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+q^{7}+q^{13}+\zeta_{6}q^{25}+(-1+\zeta_{6}^{2}+\cdots)q^{31}+\cdots\)
3024.1.cg.a \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+\zeta_{6}^{2}q^{7}+(-1+\zeta_{6}^{2})q^{19}+\zeta_{6}^{2}q^{25}+\cdots\)
3024.1.cg.b \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(2\) \(q+q^{7}+(\zeta_{6}+\zeta_{6}^{2})q^{13}+\zeta_{6}^{2}q^{25}+\cdots\)
3024.1.dc.a \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}-q^{13}-\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots\)
3024.1.dc.b \(2\) \(1.509\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(1\) \(q+\zeta_{6}q^{7}+q^{13}+\zeta_{6}^{2}q^{19}-\zeta_{6}q^{25}+\cdots\)
3024.1.dc.c \(4\) \(1.509\) \(\Q(\sqrt{-2}, \sqrt{-3})\) None None \(0\) \(0\) \(0\) \(2\) \(q+\beta _{1}q^{5}+\beta _{2}q^{7}+(\beta _{1}-\beta _{3})q^{17}+(1+\cdots)q^{19}+\cdots\)
3024.1.dd.a \(4\) \(1.509\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(4\) \(0\) \(q+q^{5}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{11}+\zeta_{12}^{2}q^{13}+\cdots\)
3024.1.eg.a \(8\) \(1.509\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}q^{2}+\zeta_{24}^{2}q^{4}-\zeta_{24}^{7}q^{5}-\zeta_{24}^{6}q^{7}+\cdots\)
3024.1.eg.b \(8\) \(1.509\) \(\Q(\zeta_{24})\) None None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{24}^{7}q^{2}-\zeta_{24}^{2}q^{4}+\zeta_{24}^{10}q^{7}+\cdots\)
3024.2.a.a \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-4\) \(1\) \(+\) \(q-4q^{5}+q^{7}-4q^{11}+3q^{13}+7q^{17}+\cdots\)
3024.2.a.b \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-4\) \(1\) \(+\) \(q-4q^{5}+q^{7}+4q^{11}-q^{13}-3q^{17}+\cdots\)
3024.2.a.c \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(q-3q^{5}-q^{7}-3q^{11}-4q^{13}-6q^{17}+\cdots\)
3024.2.a.d \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) \(+\) \(q-3q^{5}-q^{7}+2q^{13}-3q^{17}+4q^{19}+\cdots\)
3024.2.a.e \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(q-3q^{5}-q^{7}+3q^{11}+2q^{13}+6q^{17}+\cdots\)
3024.2.a.f \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-3\) \(-1\) \(-\) \(q-3q^{5}-q^{7}+6q^{11}-4q^{13}-3q^{17}+\cdots\)
3024.2.a.g \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{5}-q^{7}-6q^{13}+7q^{17}+8q^{19}+\cdots\)
3024.2.a.h \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-1\) \(+\) \(q-q^{5}-q^{7}+3q^{11}-2q^{17}-q^{19}+\cdots\)
3024.2.a.i \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}-2q^{11}-4q^{13}+3q^{17}+\cdots\)
3024.2.a.j \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{5}+q^{7}+q^{11}-4q^{13}+6q^{17}+\cdots\)
3024.2.a.k \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(+\) \(q-q^{5}+q^{7}+2q^{11}-5q^{17}-2q^{19}+\cdots\)
3024.2.a.l \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}+4q^{11}-2q^{13}+3q^{17}+\cdots\)
3024.2.a.m \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}+5q^{11}-2q^{17}+q^{19}+\cdots\)
3024.2.a.n \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(-1\) \(1\) \(-\) \(q-q^{5}+q^{7}+6q^{11}+4q^{13}+3q^{17}+\cdots\)
3024.2.a.o \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) \(+\) \(q-q^{7}+5q^{13}-3q^{17}-2q^{19}-9q^{23}+\cdots\)
3024.2.a.p \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(0\) \(-1\) \(-\) \(q-q^{7}+5q^{13}+3q^{17}-2q^{19}+9q^{23}+\cdots\)
3024.2.a.q \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(+\) \(q+q^{5}-q^{7}-3q^{11}+2q^{17}-q^{19}+\cdots\)
3024.2.a.r \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(-1\) \(-\) \(q+q^{5}-q^{7}-6q^{13}-7q^{17}+8q^{19}+\cdots\)
3024.2.a.s \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-6q^{11}+4q^{13}-3q^{17}+\cdots\)
3024.2.a.t \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(-\) \(q+q^{5}+q^{7}-5q^{11}+2q^{17}+q^{19}+\cdots\)
3024.2.a.u \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-4q^{11}-2q^{13}-3q^{17}+\cdots\)
3024.2.a.v \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(-\) \(q+q^{5}+q^{7}-2q^{11}+5q^{17}-2q^{19}+\cdots\)
3024.2.a.w \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}-q^{11}-4q^{13}-6q^{17}+\cdots\)
3024.2.a.x \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(1\) \(1\) \(+\) \(q+q^{5}+q^{7}+2q^{11}-4q^{13}-3q^{17}+\cdots\)
3024.2.a.y \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) \(+\) \(q+3q^{5}-q^{7}-6q^{11}-4q^{13}+3q^{17}+\cdots\)
3024.2.a.z \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) \(-\) \(q+3q^{5}-q^{7}-3q^{11}+2q^{13}-6q^{17}+\cdots\)
3024.2.a.ba \(1\) \(24.147\) \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) \(-\) \(q+3q^{5}-q^{7}+2q^{13}+3q^{17}+4q^{19}+\cdots\)
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