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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2736.1.b.a \(4\) \(1.365\) \(\Q(\zeta_{8})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{8}+\zeta_{8}^{3})q^{5}+\zeta_{8}^{2}q^{7}+(-\zeta_{8}+\zeta_{8}^{3}+\cdots)q^{11}+\cdots\)
2736.1.b.b \(8\) \(1.365\) \(\Q(\zeta_{24})\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{24}^{5}-\zeta_{24}^{7})q^{5}-\zeta_{24}^{6}q^{7}+\cdots\)
2736.1.o.a \(1\) \(1.365\) \(\Q\) \(\Q(\sqrt{-3}) \), \(\Q(\sqrt{-19}) \) \(\Q(\sqrt{57}) \) \(0\) \(0\) \(0\) \(2\) \(q+2q^{7}+q^{19}-q^{25}-2q^{43}+3q^{49}+\cdots\)
2736.1.o.b \(1\) \(1.365\) \(\Q\) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(1\) \(1\) \(q+q^{5}+q^{7}-q^{11}+q^{17}-q^{19}+2q^{23}+\cdots\)
2736.1.o.c \(2\) \(1.365\) \(\Q(\sqrt{3}) \) \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-\beta q^{5}-q^{7}-\beta q^{11}+\beta q^{17}+q^{19}+\cdots\)
2736.1.bk.a \(2\) \(1.365\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{6}-\zeta_{6}^{2})q^{7}-\zeta_{6}q^{13}-q^{19}+\cdots\)
2736.1.bk.b \(2\) \(1.365\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{6}+\zeta_{6}^{2})q^{7}-\zeta_{6}q^{13}+q^{19}+\zeta_{6}q^{25}+\cdots\)
2736.1.bs.a \(4\) \(1.365\) \(\Q(\zeta_{12})\) None None \(0\) \(0\) \(-2\) \(2\) \(q-\zeta_{12}^{3}q^{3}+\zeta_{12}^{4}q^{5}+\zeta_{12}^{2}q^{7}+\cdots\)
2736.1.cd.a \(2\) \(1.365\) \(\Q(\sqrt{-3}) \) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-2\) \(q-q^{7}+(-1+\zeta_{6}^{2})q^{13}+q^{19}+\zeta_{6}q^{25}+\cdots\)
2736.1.fg.a \(6\) \(1.365\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{18}^{7}+\zeta_{18}^{8})q^{7}+(\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{13}+\cdots\)
2736.1.ga.a \(6\) \(1.365\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{18}^{7}+\zeta_{18}^{8})q^{7}+(-\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{13}+\cdots\)
2736.1.ga.b \(6\) \(1.365\) \(\Q(\zeta_{18})\) \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{18}^{7}-\zeta_{18}^{8})q^{7}+(-\zeta_{18}^{2}-\zeta_{18}^{6}+\cdots)q^{13}+\cdots\)
2736.2.a.a \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-4\) \(-4\) \(-\) \(q-4q^{5}-4q^{7}-4q^{11}-4q^{13}-6q^{17}+\cdots\)
2736.2.a.b \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-4\) \(0\) \(-\) \(q-4q^{5}-6q^{11}+2q^{13}-4q^{17}+q^{19}+\cdots\)
2736.2.a.c \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-3\) \(1\) \(+\) \(q-3q^{5}+q^{7}+3q^{11}-4q^{13}+3q^{17}+\cdots\)
2736.2.a.d \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-2q^{5}-4q^{11}+2q^{13}+6q^{17}+q^{19}+\cdots\)
2736.2.a.e \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-2q^{5}+2q^{13}-2q^{17}+q^{19}-q^{25}+\cdots\)
2736.2.a.f \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) \(+\) \(q-2q^{5}+2q^{11}-4q^{13}+q^{19}+8q^{23}+\cdots\)
2736.2.a.g \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-2\) \(0\) \(-\) \(q-2q^{5}+2q^{11}+2q^{13}-6q^{17}+q^{19}+\cdots\)
2736.2.a.h \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-1\) \(-3\) \(-\) \(q-q^{5}-3q^{7}-3q^{11}-6q^{13}-3q^{17}+\cdots\)
2736.2.a.i \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(-1\) \(3\) \(-\) \(q-q^{5}+3q^{7}-5q^{11}-2q^{13}+q^{17}+\cdots\)
2736.2.a.j \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(0\) \(-4\) \(+\) \(q-4q^{7}+4q^{11}+2q^{17}-q^{19}-2q^{23}+\cdots\)
2736.2.a.k \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(0\) \(-3\) \(-\) \(q-3q^{7}+2q^{11}+q^{13}+5q^{17}-q^{19}+\cdots\)
2736.2.a.l \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-2q^{11}-2q^{13}+4q^{17}-q^{19}-2q^{23}+\cdots\)
2736.2.a.m \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+2q^{11}-2q^{13}-4q^{17}-q^{19}+2q^{23}+\cdots\)
2736.2.a.n \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(0\) \(1\) \(+\) \(q+q^{7}-6q^{11}+5q^{13}-3q^{17}-q^{19}+\cdots\)
2736.2.a.o \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(0\) \(4\) \(+\) \(q+4q^{7}-4q^{13}-6q^{17}-q^{19}-6q^{23}+\cdots\)
2736.2.a.p \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(1\) \(3\) \(+\) \(q+q^{5}+3q^{7}-3q^{11}-4q^{13}-5q^{17}+\cdots\)
2736.2.a.q \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(1\) \(3\) \(-\) \(q+q^{5}+3q^{7}+5q^{11}-4q^{13}+3q^{17}+\cdots\)
2736.2.a.r \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(2\) \(0\) \(+\) \(q+2q^{5}-2q^{11}-4q^{13}+q^{19}-8q^{23}+\cdots\)
2736.2.a.s \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(2\) \(0\) \(-\) \(q+2q^{5}+6q^{13}+6q^{17}+q^{19}+4q^{23}+\cdots\)
2736.2.a.t \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(3\) \(-1\) \(+\) \(q+3q^{5}-q^{7}-5q^{11}-6q^{13}+5q^{17}+\cdots\)
2736.2.a.u \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(3\) \(3\) \(-\) \(q+3q^{5}+3q^{7}-q^{11}-2q^{13}+5q^{17}+\cdots\)
2736.2.a.v \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(3\) \(5\) \(-\) \(q+3q^{5}+5q^{7}+q^{11}+2q^{13}+q^{17}+\cdots\)
2736.2.a.w \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(4\) \(-3\) \(-\) \(q+4q^{5}-3q^{7}+2q^{11}-q^{13}-3q^{17}+\cdots\)
2736.2.a.x \(1\) \(21.847\) \(\Q\) None None \(0\) \(0\) \(4\) \(0\) \(-\) \(q+4q^{5}+6q^{11}+2q^{13}+4q^{17}+q^{19}+\cdots\)
2736.2.a.y \(2\) \(21.847\) \(\Q(\sqrt{33}) \) None None \(0\) \(0\) \(-3\) \(-1\) \(+\) \(q+(-1-\beta )q^{5}+(-1+\beta )q^{7}+(-1+\cdots)q^{11}+\cdots\)
2736.2.a.z \(2\) \(21.847\) \(\Q(\sqrt{17}) \) None None \(0\) \(0\) \(-1\) \(-1\) \(-\) \(q-\beta q^{5}-\beta q^{7}+(4-\beta )q^{11}-2\beta q^{13}+\cdots\)
2736.2.a.ba \(2\) \(21.847\) \(\Q(\sqrt{7}) \) None None \(0\) \(0\) \(0\) \(-6\) \(+\) \(q+\beta q^{5}-3q^{7}-\beta q^{11}+2q^{13}-3\beta q^{17}+\cdots\)
2736.2.a.bb \(2\) \(21.847\) \(\Q(\sqrt{41}) \) None None \(0\) \(0\) \(1\) \(3\) \(-\) \(q+\beta q^{5}+(2-\beta )q^{7}+(2-\beta )q^{11}+6q^{13}+\cdots\)
2736.2.a.bc \(3\) \(21.847\) 3.3.892.1 None None \(0\) \(0\) \(-2\) \(2\) \(-\) \(q+(-1+\beta _{1})q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+\cdots\)
2736.2.a.bd \(3\) \(21.847\) 3.3.961.1 None None \(0\) \(0\) \(-1\) \(-4\) \(+\) \(q-\beta _{1}q^{5}+(-1+\beta _{2})q^{7}+(-2+\beta _{1}+\cdots)q^{11}+\cdots\)
2736.2.a.be \(3\) \(21.847\) 3.3.892.1 None None \(0\) \(0\) \(2\) \(2\) \(-\) \(q+(1-\beta _{1})q^{5}+(1-\beta _{1}-\beta _{2})q^{7}+(3+\cdots)q^{11}+\cdots\)
2736.2.a.bf \(4\) \(21.847\) 4.4.13068.1 None None \(0\) \(0\) \(0\) \(-2\) \(-\) \(q-\beta _{2}q^{5}+(-1-\beta _{1})q^{7}+\beta _{3}q^{11}+\cdots\)
2736.2.d.a \(12\) \(21.847\) \(\mathbb{Q}[x]/(x^{12} - \cdots)\) None None \(0\) \(0\) \(0\) \(0\) \(q+(-\beta _{4}+\beta _{9})q^{5}+(\beta _{1}+\beta _{3}-\beta _{8})q^{7}+\cdots\)
2736.2.d.b \(24\) \(21.847\) None None \(0\) \(0\) \(0\) \(0\)
2736.2.f.a \(2\) \(21.847\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-4\) \(q+\beta q^{5}-2q^{7}-\beta q^{11}+\beta q^{17}+(-1+\cdots)q^{19}+\cdots\)
2736.2.f.b \(2\) \(21.847\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-4\) \(q+\beta q^{5}-2q^{7}-\beta q^{11}+\beta q^{17}+(-1+\cdots)q^{19}+\cdots\)
2736.2.f.c \(2\) \(21.847\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-4\) \(q+\beta q^{5}-2q^{7}+3\beta q^{11}-2\beta q^{13}+\cdots\)
2736.2.f.d \(2\) \(21.847\) \(\Q(\sqrt{-2}) \) None None \(0\) \(0\) \(0\) \(-4\) \(q+\beta q^{5}-2q^{7}+3\beta q^{11}+2\beta q^{13}+\cdots\)
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