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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
4900.2.a.a \(1\) \(39.127\) \(\Q\) None \(0\) \(-3\) \(0\) \(0\) \(+\) \(q-3q^{3}+6q^{9}-2q^{11}-6q^{13}+2q^{17}+\cdots\)
4900.2.a.b \(1\) \(39.127\) \(\Q\) None \(0\) \(-3\) \(0\) \(0\) \(-\) \(q-3q^{3}+6q^{9}+3q^{11}-q^{13}+5q^{17}+\cdots\)
4900.2.a.c \(1\) \(39.127\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-2q^{3}+q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots\)
4900.2.a.d \(1\) \(39.127\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(q-2q^{3}+q^{9}-q^{11}-2q^{13}+4q^{17}+\cdots\)
4900.2.a.e \(1\) \(39.127\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-2q^{3}+q^{9}+2q^{13}-6q^{17}+4q^{19}+\cdots\)
4900.2.a.f \(1\) \(39.127\) \(\Q\) None \(0\) \(-2\) \(0\) \(0\) \(+\) \(q-2q^{3}+q^{9}+3q^{11}-4q^{13}-2q^{19}+\cdots\)
4900.2.a.g \(1\) \(39.127\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{3}-2q^{9}-3q^{11}-2q^{13}-3q^{17}+\cdots\)
4900.2.a.h \(1\) \(39.127\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q-q^{3}-2q^{9}-q^{11}+5q^{13}-q^{17}+\cdots\)
4900.2.a.i \(1\) \(39.127\) \(\Q\) None \(0\) \(-1\) \(0\) \(0\) \(-\) \(q-q^{3}-2q^{9}+6q^{11}-2q^{13}+6q^{17}+\cdots\)
4900.2.a.j \(1\) \(39.127\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-3q^{9}-5q^{11}-6q^{13}+4q^{17}+6q^{19}+\cdots\)
4900.2.a.k \(1\) \(39.127\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q-3q^{9}-5q^{11}+6q^{13}-4q^{17}+6q^{19}+\cdots\)
4900.2.a.l \(1\) \(39.127\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-3q^{9}-4q^{13}-4q^{17}-4q^{19}+8q^{23}+\cdots\)
4900.2.a.m \(1\) \(39.127\) \(\Q\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q-3q^{9}+4q^{13}+4q^{17}-4q^{19}-8q^{23}+\cdots\)
4900.2.a.n \(1\) \(39.127\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}-2q^{9}-3q^{11}+2q^{13}+3q^{17}+\cdots\)
4900.2.a.o \(1\) \(39.127\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}-2q^{9}-q^{11}-5q^{13}+q^{17}+\cdots\)
4900.2.a.p \(1\) \(39.127\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}-2q^{9}+3q^{11}-q^{13}-3q^{17}+\cdots\)
4900.2.a.q \(1\) \(39.127\) \(\Q\) None \(0\) \(1\) \(0\) \(0\) \(+\) \(q+q^{3}-2q^{9}+6q^{11}+2q^{13}-6q^{17}+\cdots\)
4900.2.a.r \(1\) \(39.127\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(+\) \(q+2q^{3}+q^{9}-q^{11}+2q^{13}-4q^{17}+\cdots\)
4900.2.a.s \(1\) \(39.127\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(q+2q^{3}+q^{9}-q^{11}+2q^{13}-4q^{17}+\cdots\)
4900.2.a.t \(1\) \(39.127\) \(\Q\) None \(0\) \(2\) \(0\) \(0\) \(-\) \(q+2q^{3}+q^{9}+3q^{11}+4q^{13}-2q^{19}+\cdots\)
4900.2.a.u \(1\) \(39.127\) \(\Q\) None \(0\) \(3\) \(0\) \(0\) \(+\) \(q+3q^{3}+6q^{9}-5q^{11}-3q^{13}-q^{17}+\cdots\)
4900.2.a.v \(1\) \(39.127\) \(\Q\) None \(0\) \(3\) \(0\) \(0\) \(-\) \(q+3q^{3}+6q^{9}-2q^{11}+6q^{13}-2q^{17}+\cdots\)
4900.2.a.w \(1\) \(39.127\) \(\Q\) None \(0\) \(3\) \(0\) \(0\) \(-\) \(q+3q^{3}+6q^{9}+3q^{11}+q^{13}-5q^{17}+\cdots\)
4900.2.a.x \(2\) \(39.127\) \(\Q(\sqrt{2}) \) None \(0\) \(-2\) \(0\) \(0\) \(-\) \(q+(-1+\beta )q^{3}-2\beta q^{9}+(-1-2\beta )q^{11}+\cdots\)
4900.2.a.y \(2\) \(39.127\) \(\Q(\sqrt{2}) \) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+2\beta q^{3}+5q^{9}+4q^{11}-3\beta q^{13}+\cdots\)
4900.2.a.z \(2\) \(39.127\) \(\Q(\sqrt{2}) \) None \(0\) \(2\) \(0\) \(0\) \(-\) \(q+(1+\beta )q^{3}+2\beta q^{9}+(-1+2\beta )q^{11}+\cdots\)
4900.2.a.ba \(3\) \(39.127\) 3.3.257.1 None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q+\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.bb \(3\) \(39.127\) 3.3.257.1 None \(0\) \(-1\) \(0\) \(0\) \(+\) \(q+\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.bc \(3\) \(39.127\) 3.3.257.1 None \(0\) \(1\) \(0\) \(0\) \(-\) \(q-\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.bd \(3\) \(39.127\) 3.3.257.1 None \(0\) \(1\) \(0\) \(0\) \(-\) \(q-\beta _{2}q^{3}+(2-\beta _{1}-\beta _{2})q^{9}+(1-\beta _{2})q^{11}+\cdots\)
4900.2.a.be \(4\) \(39.127\) \(\Q(\sqrt{3}, \sqrt{19})\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta _{2}q^{3}+(-2-\beta _{3})q^{11}+(2\beta _{1}-2\beta _{2}+\cdots)q^{13}+\cdots\)
4900.2.a.bf \(4\) \(39.127\) \(\Q(\sqrt{3}, \sqrt{19})\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+\beta _{2}q^{3}+(-2-\beta _{3})q^{11}+(2\beta _{1}-2\beta _{2}+\cdots)q^{13}+\cdots\)
4900.2.a.bg \(4\) \(39.127\) \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta _{1}q^{3}+\beta _{3}q^{9}+(-1-2\beta _{3})q^{11}+\cdots\)
4900.2.a.bh \(4\) \(39.127\) \(\Q(\zeta_{24})^+\) None \(0\) \(0\) \(0\) \(0\) \(+\) \(q+\beta _{1}q^{3}-q^{11}+\beta _{1}q^{13}-3\beta _{1}q^{17}+\cdots\)
4900.2.a.bi \(4\) \(39.127\) \(\Q(\sqrt{2}, \sqrt{5})\) None \(0\) \(0\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{3}+\beta _{3}q^{9}+(-1-2\beta _{3})q^{11}+\cdots\)
4900.2.a.bj \(4\) \(39.127\) \(\Q(\sqrt{5}, \sqrt{21})\) \(\Q(\sqrt{-35}) \) \(0\) \(0\) \(0\) \(0\) \(-\) \(q+\beta _{1}q^{3}+(4+\beta _{3})q^{9}+(1-\beta _{3})q^{11}+\cdots\)
4900.2.e.a \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+3iq^{3}-6q^{9}-5q^{11}-3iq^{13}+\cdots\)
4900.2.e.b \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+3iq^{3}-6q^{9}-2q^{11}+6iq^{13}+\cdots\)
4900.2.e.c \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+3iq^{3}-6q^{9}-2q^{11}+6iq^{13}+\cdots\)
4900.2.e.d \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{3}-q^{9}-q^{11}+2iq^{13}+4iq^{17}+\cdots\)
4900.2.e.e \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{3}-q^{9}-q^{11}+2iq^{13}+4iq^{17}+\cdots\)
4900.2.e.f \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}-q^{9}-iq^{13}-3iq^{17}-4q^{19}+\cdots\)
4900.2.e.g \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+2iq^{3}-q^{9}+3q^{11}+4iq^{13}+2q^{19}+\cdots\)
4900.2.e.h \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}-3q^{11}+2iq^{13}-3iq^{17}+\cdots\)
4900.2.e.i \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}-3q^{11}+2iq^{13}-3iq^{17}+\cdots\)
4900.2.e.j \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}-q^{11}-5iq^{13}-iq^{17}+\cdots\)
4900.2.e.k \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}-q^{11}-5iq^{13}-iq^{17}+\cdots\)
4900.2.e.l \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}+3q^{11}-iq^{13}+3iq^{17}+\cdots\)
4900.2.e.m \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}+6q^{11}+2iq^{13}+6iq^{17}+\cdots\)
4900.2.e.n \(2\) \(39.127\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{3}+2q^{9}+6q^{11}+2iq^{13}+6iq^{17}+\cdots\)
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