## Results (1-50 of 90 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
2600.1.b.a $2$ $1.298$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-iq^{3}-q^{4}-q^{6}+iq^{7}+iq^{8}+\cdots$$
2600.1.b.b $2$ $1.298$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-iq^{3}-q^{4}+q^{6}-iq^{7}-iq^{8}+\cdots$$
2600.1.o.a $1$ $1.298$ $$\Q$$ $$\Q(\sqrt{-10})$$, $$\Q(\sqrt{-26})$$ $$\Q(\sqrt{65})$$ $$-1$$ $$0$$ $$0$$ $$-2$$ $$q-q^{2}+q^{4}-2q^{7}-q^{8}-q^{9}+q^{13}+\cdots$$
2600.1.o.b $1$ $1.298$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$-1$$ $$1$$ $$0$$ $$1$$ $$q-q^{2}+q^{3}+q^{4}-q^{6}+q^{7}-q^{8}+\cdots$$
2600.1.o.c $1$ $1.298$ $$\Q$$ $$\Q(\sqrt{-10})$$, $$\Q(\sqrt{-26})$$ $$\Q(\sqrt{65})$$ $$1$$ $$0$$ $$0$$ $$2$$ $$q+q^{2}+q^{4}+2q^{7}+q^{8}-q^{9}-q^{13}+\cdots$$
2600.1.o.d $1$ $1.298$ $$\Q$$ $$\Q(\sqrt{-26})$$ None $$1$$ $$1$$ $$0$$ $$-1$$ $$q+q^{2}+q^{3}+q^{4}+q^{6}-q^{7}+q^{8}+\cdots$$
2600.1.o.e $2$ $1.298$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-26})$$ None $$-2$$ $$0$$ $$0$$ $$2$$ $$q-q^{2}-\beta q^{3}+q^{4}+\beta q^{6}+q^{7}-q^{8}+\cdots$$
2600.1.o.f $2$ $1.298$ $$\Q(\sqrt{3})$$ $$\Q(\sqrt{-26})$$ None $$2$$ $$0$$ $$0$$ $$-2$$ $$q+q^{2}-\beta q^{3}+q^{4}-\beta q^{6}-q^{7}+q^{8}+\cdots$$
2600.1.r.a $4$ $1.298$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{10})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{8}^{3}q^{2}+(-\zeta_{8}-\zeta_{8}^{3})q^{3}-\zeta_{8}^{2}q^{4}+\cdots$$
2600.1.u.a $2$ $1.298$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $$q+iq^{3}+(-1+i)q^{7}+(-1-i)q^{11}+\cdots$$
2600.1.u.b $2$ $1.298$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $$q-iq^{3}+(1-i)q^{7}+(-1-i)q^{11}+\cdots$$
2600.1.x.a $2$ $1.298$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-10})$$ None $$-2$$ $$0$$ $$0$$ $$0$$ $$q-q^{2}+q^{4}-q^{8}+iq^{9}+(-1+i+\cdots)q^{11}+\cdots$$
2600.1.x.b $2$ $1.298$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-10})$$ None $$2$$ $$0$$ $$0$$ $$0$$ $$q+q^{2}+q^{4}+q^{8}+iq^{9}+(-1+i+\cdots)q^{11}+\cdots$$
2600.1.bg.a $4$ $1.298$ $$\Q(\zeta_{8})$$ None $$\Q(\sqrt{26})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{8}^{3}q^{2}-\zeta_{8}^{2}q^{4}+\zeta_{8}q^{8}+\zeta_{8}^{2}q^{9}+\cdots$$
2600.1.bk.a $2$ $1.298$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-iq^{2}-q^{4}+iq^{8}-iq^{9}+(-1+i+\cdots)q^{11}+\cdots$$
2600.1.bk.b $2$ $1.298$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{2}-q^{4}-iq^{8}-iq^{9}+(-1+i+\cdots)q^{11}+\cdots$$
2600.1.bl.a $2$ $1.298$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-2$$ $$0$$ $$2$$ $$q-q^{3}+(1+i)q^{7}+(-1-i)q^{11}+q^{13}+\cdots$$
2600.1.bl.b $2$ $1.298$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$2$$ $$0$$ $$-2$$ $$q+q^{3}+(-1-i)q^{7}+(-1-i)q^{11}+\cdots$$
2600.1.br.a $2$ $1.298$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$-1$$ $$0$$ $$0$$ $$1$$ $$q+\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}+\zeta_{6}q^{7}+q^{8}+\zeta_{6}q^{9}+\cdots$$
2600.1.br.b $2$ $1.298$ $$\Q(\sqrt{-3})$$ $$\Q(\sqrt{-10})$$ None $$1$$ $$0$$ $$0$$ $$-1$$ $$q-\zeta_{6}^{2}q^{2}-\zeta_{6}q^{4}-\zeta_{6}q^{7}-q^{8}+\zeta_{6}q^{9}+\cdots$$
2600.1.bt.a $4$ $1.298$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+\zeta_{12}^{5}q^{7}-\zeta_{12}^{3}q^{8}+\cdots$$
2600.1.ck.a $4$ $1.298$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-26})$$ None $$-1$$ $$-2$$ $$4$$ $$-2$$ $$q-\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}+q^{5}+\cdots$$
2600.1.ck.b $4$ $1.298$ $$\Q(\zeta_{10})$$ $$\Q(\sqrt{-26})$$ None $$1$$ $$-2$$ $$-4$$ $$2$$ $$q+\zeta_{10}^{3}q^{2}-\zeta_{10}q^{3}-\zeta_{10}q^{4}-q^{5}+\cdots$$
2600.1.ck.c $8$ $1.298$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-26})$$ None $$-2$$ $$2$$ $$-4$$ $$2$$ $$q-\zeta_{30}^{9}q^{2}+\zeta_{30}^{3}q^{3}-\zeta_{30}^{3}q^{4}+\cdots$$
2600.1.ck.d $8$ $1.298$ $$\Q(\zeta_{15})$$ $$\Q(\sqrt{-26})$$ None $$2$$ $$2$$ $$4$$ $$-2$$ $$q+\zeta_{30}^{9}q^{2}+\zeta_{30}^{3}q^{3}-\zeta_{30}^{3}q^{4}+\cdots$$
2600.1.cp.a $8$ $1.298$ $$\Q(\zeta_{20})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{20}^{7}q^{2}-\zeta_{20}^{4}q^{4}-\zeta_{20}^{5}q^{5}+\cdots$$
2600.1.cp.b $16$ $1.298$ $$\Q(\zeta_{60})$$ $$\Q(\sqrt{-26})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{60}^{27}q^{2}+(-\zeta_{60}^{4}-\zeta_{60}^{14})q^{3}+\cdots$$
2600.1.cy.a $4$ $1.298$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q-\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(\zeta_{12}+\zeta_{12}^{3}+\cdots)q^{7}+\cdots$$
2600.1.cy.b $4$ $1.298$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}q^{2}+\zeta_{12}^{2}q^{4}+(-\zeta_{12}-\zeta_{12}^{3}+\cdots)q^{7}+\cdots$$
2600.1.dl.a $4$ $1.298$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$-2$$ $$0$$ $$0$$ $$6$$ $$q+\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(1-\zeta_{12}^{4}+\cdots)q^{7}+\cdots$$
2600.1.dl.b $4$ $1.298$ $$\Q(\zeta_{12})$$ $$\Q(\sqrt{-10})$$ None $$2$$ $$0$$ $$0$$ $$-6$$ $$q-\zeta_{12}^{4}q^{2}-\zeta_{12}^{2}q^{4}+(-1+\zeta_{12}^{4}+\cdots)q^{7}+\cdots$$
2600.2.a.a $1$ $20.761$ $$\Q$$ None None $$0$$ $$-3$$ $$0$$ $$-2$$ $+$ $$q-3q^{3}-2q^{7}+6q^{9}-2q^{11}+q^{13}+\cdots$$
2600.2.a.b $1$ $20.761$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$-3$$ $+$ $$q-2q^{3}-3q^{7}+q^{9}+3q^{11}-q^{13}+\cdots$$
2600.2.a.c $1$ $20.761$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $+$ $$q-2q^{3}+q^{9}+2q^{11}-q^{13}-2q^{17}+\cdots$$
2600.2.a.d $1$ $20.761$ $$\Q$$ None None $$0$$ $$-2$$ $$0$$ $$3$$ $-$ $$q-2q^{3}+3q^{7}+q^{9}+q^{11}-q^{13}+\cdots$$
2600.2.a.e $1$ $20.761$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$-5$$ $-$ $$q-q^{3}-5q^{7}-2q^{9}-2q^{11}+q^{13}+\cdots$$
2600.2.a.f $1$ $20.761$ $$\Q$$ None None $$0$$ $$-1$$ $$0$$ $$0$$ $+$ $$q-q^{3}-2q^{9}-2q^{11}+q^{13}-2q^{17}+\cdots$$
2600.2.a.g $1$ $20.761$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $-$ $$q-4q^{7}-3q^{9}-2q^{11}-q^{13}-4q^{17}+\cdots$$
2600.2.a.h $1$ $20.761$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $+$ $$q-3q^{9}-4q^{11}+q^{13}+6q^{17}+4q^{19}+\cdots$$
2600.2.a.i $1$ $20.761$ $$\Q$$ None None $$0$$ $$0$$ $$0$$ $$4$$ $-$ $$q+4q^{7}-3q^{9}-2q^{11}+q^{13}+4q^{17}+\cdots$$
2600.2.a.j $1$ $20.761$ $$\Q$$ None None $$0$$ $$1$$ $$0$$ $$0$$ $-$ $$q+q^{3}-2q^{9}-2q^{11}-q^{13}+2q^{17}+\cdots$$
2600.2.a.k $1$ $20.761$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$-3$$ $+$ $$q+2q^{3}-3q^{7}+q^{9}+q^{11}+q^{13}+\cdots$$
2600.2.a.l $1$ $20.761$ $$\Q$$ None None $$0$$ $$2$$ $$0$$ $$3$$ $-$ $$q+2q^{3}+3q^{7}+q^{9}+3q^{11}+q^{13}+\cdots$$
2600.2.a.m $1$ $20.761$ $$\Q$$ None None $$0$$ $$3$$ $$0$$ $$2$$ $-$ $$q+3q^{3}+2q^{7}+6q^{9}-2q^{11}-q^{13}+\cdots$$
2600.2.a.n $2$ $20.761$ $$\Q(\sqrt{73})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q-q^{3}-2q^{9}+(-1+\beta )q^{11}+q^{13}+\cdots$$
2600.2.a.o $2$ $20.761$ $$\Q(\sqrt{5})$$ None None $$0$$ $$-2$$ $$0$$ $$0$$ $-$ $$q+(-1-\beta )q^{3}+(3+2\beta )q^{9}+(3-\beta )q^{11}+\cdots$$
2600.2.a.p $2$ $20.761$ $$\Q(\sqrt{17})$$ None None $$0$$ $$-1$$ $$0$$ $$1$$ $-$ $$q-\beta q^{3}+\beta q^{7}+(1+\beta )q^{9}-2\beta q^{11}+\cdots$$
2600.2.a.q $2$ $20.761$ $$\Q(\sqrt{6})$$ None None $$0$$ $$0$$ $$0$$ $$-4$$ $+$ $$q+\beta q^{3}-2q^{7}+3q^{9}+(-2-\beta )q^{11}+\cdots$$
2600.2.a.r $2$ $20.761$ $$\Q(\sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$-2$$ $+$ $$q+(-1-\beta )q^{7}-3q^{9}+(3+\beta )q^{11}+\cdots$$
2600.2.a.s $2$ $20.761$ $$\Q(\sqrt{10})$$ None None $$0$$ $$0$$ $$0$$ $$2$$ $-$ $$q+(1+\beta )q^{7}-3q^{9}+(3+\beta )q^{11}-q^{13}+\cdots$$