## Results (1-50 of 221 matches)

Label Dim. $$A$$ Field CM RM Traces Fricke sign $q$-expansion
$$a_2$$ $$a_3$$ $$a_5$$ $$a_7$$
3600.1.c.a $$4$$ $$1.797$$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{2}q^{7}+(\zeta_{8}+\zeta_{8}^{3})q^{11}+\zeta_{8}^{2}q^{13}+\cdots$$
3600.1.e.a $$1$$ $$1.797$$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-5})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{29}+2q^{41}+q^{49}-2q^{61}+2q^{89}+\cdots$$
3600.1.e.b $$1$$ $$1.797$$ $$\Q$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+2q^{13}-2q^{37}+q^{49}+2q^{61}+2q^{73}+\cdots$$
3600.1.e.c $$2$$ $$1.797$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(\zeta_{6}+\zeta_{6}^{2})q^{7}-q^{13}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
3600.1.e.d $$2$$ $$1.797$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{6}-\zeta_{6}^{2})q^{7}+q^{13}+(\zeta_{6}+\zeta_{6}^{2}+\cdots)q^{19}+\cdots$$
3600.1.j.a $$2$$ $$1.797$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{3})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{13}-iq^{37}-q^{49}+q^{61}-iq^{73}+\cdots$$
3600.1.j.b $$4$$ $$1.797$$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-\zeta_{12}+\zeta_{12}^{5})q^{7}-\zeta_{12}^{3}q^{13}+\cdots$$
3600.1.l.a $$2$$ $$1.797$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q-q^{7}+\beta q^{11}-q^{13}-\beta q^{17}-q^{19}+\cdots$$
3600.1.l.b $$2$$ $$1.797$$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q+q^{7}-\beta q^{11}+q^{13}-\beta q^{17}-q^{19}+\cdots$$
3600.1.bb.a $$2$$ $$1.797$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}+q^{16}+(-1+i+\cdots)q^{17}+\cdots$$
3600.1.bb.b $$2$$ $$1.797$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{8}+q^{16}+(1-i+\cdots)q^{17}+\cdots$$
3600.1.bf.a $$2$$ $$1.797$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+q^{16}+(1-i)q^{17}+\cdots$$
3600.1.bf.b $$2$$ $$1.797$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-15})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+q^{16}+(-1+i+\cdots)q^{17}+\cdots$$
3600.1.bh.a $$2$$ $$1.797$$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-3})$$, $$\Q(\sqrt{-15})$$ $$\Q(\sqrt{5})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{19}+q^{31}-iq^{49}+q^{61}+iq^{79}+\cdots$$
3600.1.bh.b $$4$$ $$1.797$$ $$\Q(i, \sqrt{6})$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\beta _{1}q^{7}+\beta _{3}q^{13}+\beta _{2}q^{19}-q^{31}+\cdots$$
3600.1.bk.a $$4$$ $$1.797$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+(-1-\zeta_{8}^{2})q^{13}-\zeta_{8}q^{17}+(-\zeta_{8}+\cdots)q^{29}+\cdots$$
3600.1.bo.a $$4$$ $$1.797$$ $$\Q(\zeta_{8})$$ $$\Q(\sqrt{-15})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}q^{2}+\zeta_{8}^{2}q^{4}-\zeta_{8}^{3}q^{8}-q^{16}+\cdots$$
3600.1.cc.a $$2$$ $$1.797$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$-1$$ $$0$$ $$-3$$ $$q-\zeta_{6}q^{3}+(-1-\zeta_{6})q^{7}+\zeta_{6}^{2}q^{9}+\cdots$$
3600.1.cc.b $$2$$ $$1.797$$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$1$$ $$0$$ $$3$$ $$q+\zeta_{6}q^{3}+(1+\zeta_{6})q^{7}+\zeta_{6}^{2}q^{9}+(\zeta_{6}+\cdots)q^{21}+\cdots$$
3600.1.cj.a $$8$$ $$1.797$$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{20}^{9}q^{5}+(\zeta_{20}^{6}-\zeta_{20}^{8})q^{13}+(-\zeta_{20}+\cdots)q^{17}+\cdots$$
3600.1.ct.a $$4$$ $$1.797$$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-1$$ $$0$$ $$q+\zeta_{10}^{4}q^{5}+(-\zeta_{10}+\zeta_{10}^{3})q^{13}+\cdots$$
3600.1.da.a $$8$$ $$1.797$$ $$\Q(\zeta_{24})$$ $$\Q(\sqrt{-5})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{24}^{7}q^{3}+\zeta_{24}^{5}q^{7}-\zeta_{24}^{2}q^{9}+\cdots$$
3600.1.dx.a $$16$$ $$1.797$$ $$\Q(\zeta_{40})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{40}^{7}q^{5}+(-\zeta_{40}^{4}+\zeta_{40}^{18})q^{13}+\cdots$$
3600.2.a.a $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-5$$ $$-$$ $$q-5q^{7}-6q^{11}+3q^{13}-2q^{17}-q^{19}+\cdots$$
3600.2.a.b $$1$$ $$28.746$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-5$$ $$+$$ $$q-5q^{7}+5q^{13}+q^{19}+7q^{31}-10q^{37}+\cdots$$
3600.2.a.c $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}-4q^{11}-4q^{13}+6q^{17}+4q^{19}+\cdots$$
3600.2.a.d $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}-4q^{11}-4q^{17}+4q^{23}+6q^{29}+\cdots$$
3600.2.a.e $$1$$ $$28.746$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}-2q^{13}-8q^{19}+4q^{31}+10q^{37}+\cdots$$
3600.2.a.f $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$+$$ $$q-4q^{7}-2q^{13}+6q^{17}+4q^{19}+6q^{29}+\cdots$$
3600.2.a.g $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}+4q^{11}-4q^{13}-6q^{17}+4q^{19}+\cdots$$
3600.2.a.h $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $$-$$ $$q-4q^{7}+4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots$$
3600.2.a.i $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $$+$$ $$q-3q^{7}+2q^{11}-3q^{13}-6q^{17}+7q^{19}+\cdots$$
3600.2.a.j $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-3$$ $$+$$ $$q-3q^{7}+2q^{11}-q^{13}+2q^{17}+5q^{19}+\cdots$$
3600.2.a.k $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}-4q^{11}+4q^{13}+4q^{19}-2q^{23}+\cdots$$
3600.2.a.l $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-2q^{7}-3q^{11}-4q^{13}+3q^{17}-5q^{19}+\cdots$$
3600.2.a.m $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}+q^{11}+4q^{13}-5q^{17}-q^{19}+\cdots$$
3600.2.a.n $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$+$$ $$q-2q^{7}+2q^{11}-2q^{13}+6q^{17}-8q^{19}+\cdots$$
3600.2.a.o $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$-$$ $$q-2q^{7}+2q^{11}+6q^{13}-2q^{17}-4q^{23}+\cdots$$
3600.2.a.p $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}-4q^{11}-q^{13}+4q^{17}-q^{19}+\cdots$$
3600.2.a.q $$1$$ $$28.746$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$-1$$ $$-$$ $$q-q^{7}+7q^{13}+7q^{19}-11q^{31}+10q^{37}+\cdots$$
3600.2.a.r $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}+4q^{11}-q^{13}-4q^{17}-q^{19}+\cdots$$
3600.2.a.s $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-1$$ $$+$$ $$q-q^{7}+6q^{11}-5q^{13}-6q^{17}-5q^{19}+\cdots$$
3600.2.a.t $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q-4q^{11}-6q^{13}-6q^{17}+4q^{19}+\cdots$$
3600.2.a.u $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$+$$ $$q-4q^{11}+2q^{13}+2q^{17}-4q^{19}+\cdots$$
3600.2.a.v $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$-$$ $$q+4q^{11}+2q^{13}+2q^{17}+4q^{19}+\cdots$$
3600.2.a.w $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}-4q^{11}+q^{13}-4q^{17}-q^{19}+\cdots$$
3600.2.a.x $$1$$ $$28.746$$ $$\Q$$ $$\Q(\sqrt{-3})$$ None $$0$$ $$0$$ $$0$$ $$1$$ $$+$$ $$q+q^{7}-7q^{13}+7q^{19}-11q^{31}-10q^{37}+\cdots$$
3600.2.a.y $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}+4q^{11}+q^{13}+4q^{17}-q^{19}+\cdots$$
3600.2.a.z $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$1$$ $$-$$ $$q+q^{7}+6q^{11}+5q^{13}+6q^{17}-5q^{19}+\cdots$$
3600.2.a.ba $$1$$ $$28.746$$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$-$$ $$q+2q^{7}-6q^{11}+4q^{13}+6q^{17}+4q^{19}+\cdots$$