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Label Dim. \(A\) Field CM Traces Fricke sign $q$-expansion
\(a_2\) \(a_3\) \(a_5\) \(a_7\)
2850.2.a.a \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-4\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-4q^{7}-q^{8}+\cdots\)
2850.2.a.b \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
2850.2.a.c \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(-2\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-2q^{7}-q^{8}+\cdots\)
2850.2.a.d \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.e \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(2\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.f \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
2850.2.a.g \(1\) \(22.757\) \(\Q\) None \(-1\) \(-1\) \(0\) \(4\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+4q^{7}-q^{8}+\cdots\)
2850.2.a.h \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(-4\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-4q^{7}-q^{8}+\cdots\)
2850.2.a.i \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.j \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.k \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.l \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.m \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{8}+q^{9}+\cdots\)
2850.2.a.n \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(2\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.o \(1\) \(22.757\) \(\Q\) None \(-1\) \(1\) \(0\) \(2\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+2q^{7}-q^{8}+\cdots\)
2850.2.a.p \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(-4\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-4q^{7}+q^{8}+\cdots\)
2850.2.a.q \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.r \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(-2\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.s \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2850.2.a.t \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2850.2.a.u \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(0\) \(+\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+q^{8}+q^{9}+\cdots\)
2850.2.a.v \(1\) \(22.757\) \(\Q\) None \(1\) \(-1\) \(0\) \(4\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+4q^{7}+q^{8}+\cdots\)
2850.2.a.w \(1\) \(22.757\) \(\Q\) None \(1\) \(1\) \(0\) \(-4\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
2850.2.a.x \(1\) \(22.757\) \(\Q\) None \(1\) \(1\) \(0\) \(-4\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-4q^{7}+q^{8}+\cdots\)
2850.2.a.y \(1\) \(22.757\) \(\Q\) None \(1\) \(1\) \(0\) \(-2\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.z \(1\) \(22.757\) \(\Q\) None \(1\) \(1\) \(0\) \(-2\) \(+\) \(q+q^{2}+q^{3}+q^{4}+q^{6}-2q^{7}+q^{8}+\cdots\)
2850.2.a.ba \(1\) \(22.757\) \(\Q\) None \(1\) \(1\) \(0\) \(2\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
2850.2.a.bb \(1\) \(22.757\) \(\Q\) None \(1\) \(1\) \(0\) \(2\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+2q^{7}+q^{8}+\cdots\)
2850.2.a.bc \(2\) \(22.757\) \(\Q(\sqrt{6}) \) None \(-2\) \(-2\) \(0\) \(-4\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+(-2+\beta )q^{7}+\cdots\)
2850.2.a.bd \(2\) \(22.757\) \(\Q(\sqrt{3}) \) None \(-2\) \(-2\) \(0\) \(-2\) \(+\) \(q-q^{2}-q^{3}+q^{4}+q^{6}+(-1+\beta )q^{7}+\cdots\)
2850.2.a.be \(2\) \(22.757\) \(\Q(\sqrt{3}) \) None \(-2\) \(2\) \(0\) \(-2\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+(-1+\beta )q^{7}+\cdots\)
2850.2.a.bf \(2\) \(22.757\) \(\Q(\sqrt{10}) \) None \(-2\) \(2\) \(0\) \(0\) \(+\) \(q-q^{2}+q^{3}+q^{4}-q^{6}+\beta q^{7}-q^{8}+\cdots\)
2850.2.a.bg \(2\) \(22.757\) \(\Q(\sqrt{10}) \) None \(2\) \(-2\) \(0\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+\beta q^{7}+q^{8}+\cdots\)
2850.2.a.bh \(2\) \(22.757\) \(\Q(\sqrt{3}) \) None \(2\) \(-2\) \(0\) \(2\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+(1+\beta )q^{7}+\cdots\)
2850.2.a.bi \(2\) \(22.757\) \(\Q(\sqrt{3}) \) None \(2\) \(2\) \(0\) \(2\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+(1+\beta )q^{7}+\cdots\)
2850.2.a.bj \(2\) \(22.757\) \(\Q(\sqrt{6}) \) None \(2\) \(2\) \(0\) \(4\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+(2+\beta )q^{7}+\cdots\)
2850.2.a.bk \(3\) \(22.757\) 3.3.148.1 None \(-3\) \(-3\) \(0\) \(0\) \(-\) \(q-q^{2}-q^{3}+q^{4}+q^{6}-\beta _{2}q^{7}-q^{8}+\cdots\)
2850.2.a.bl \(3\) \(22.757\) 3.3.148.1 None \(-3\) \(3\) \(0\) \(0\) \(-\) \(q-q^{2}+q^{3}+q^{4}-q^{6}-\beta _{2}q^{7}-q^{8}+\cdots\)
2850.2.a.bm \(3\) \(22.757\) 3.3.148.1 None \(3\) \(-3\) \(0\) \(0\) \(-\) \(q+q^{2}-q^{3}+q^{4}-q^{6}+\beta _{2}q^{7}+q^{8}+\cdots\)
2850.2.a.bn \(3\) \(22.757\) 3.3.148.1 None \(3\) \(3\) \(0\) \(0\) \(-\) \(q+q^{2}+q^{3}+q^{4}+q^{6}+\beta _{2}q^{7}+q^{8}+\cdots\)
2850.2.d.a \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
2850.2.d.b \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{8}-q^{9}+\cdots\)
2850.2.d.c \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
2850.2.d.d \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
2850.2.d.e \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
2850.2.d.f \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+4iq^{7}+\cdots\)
2850.2.d.g \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+iq^{2}+iq^{3}-q^{4}-q^{6}-iq^{8}-q^{9}+\cdots\)
2850.2.d.h \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+2iq^{7}+\cdots\)
2850.2.d.i \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{8}-q^{9}+\cdots\)
2850.2.d.j \(2\) \(22.757\) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-iq^{2}+iq^{3}-q^{4}+q^{6}+2iq^{7}+\cdots\)
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