Results (1-50 of 297 matches)

Label Dim $A$ Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
256.1.c.a $1$ $0.128$ $$\Q$$ $$\Q(\sqrt{-1})$$, $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{2})$$ $$0$$ $$0$$ $$0$$ $$0$$ $$q+q^{9}-2q^{17}-q^{25}-2q^{41}+q^{49}+\cdots$$
256.2.a.a $1$ $2.044$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-2$$ $$0$$ $$0$$ $+$ $$q-2q^{3}+q^{9}-6q^{11}-6q^{17}-2q^{19}+\cdots$$
256.2.a.b $1$ $2.044$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $+$ $$q-4q^{5}-3q^{9}-4q^{13}-2q^{17}+11q^{25}+\cdots$$
256.2.a.c $1$ $2.044$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+4q^{5}-3q^{9}+4q^{13}-2q^{17}+11q^{25}+\cdots$$
256.2.a.d $1$ $2.044$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$2$$ $$0$$ $$0$$ $-$ $$q+2q^{3}+q^{9}+6q^{11}-6q^{17}+2q^{19}+\cdots$$
256.2.a.e $2$ $2.044$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{3}+5q^{9}-\beta q^{11}+6q^{17}-3\beta q^{19}+\cdots$$
256.2.b.a $2$ $2.044$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$-8$$ $$q+iq^{3}+iq^{5}-4q^{7}-q^{9}+iq^{11}+\cdots$$
256.2.b.b $2$ $2.044$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{5}+3q^{9}+3iq^{13}+2q^{17}+q^{25}+\cdots$$
256.2.b.c $2$ $2.044$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$0$$ $$0$$ $$8$$ $$q+iq^{3}-iq^{5}+4q^{7}-q^{9}+iq^{11}+\cdots$$
256.2.e.a $8$ $2.044$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{2}q^{3}-\zeta_{24}^{7}q^{5}+(\zeta_{24}^{2}-\zeta_{24}^{3}+\cdots)q^{7}+\cdots$$
256.2.e.b $8$ $2.044$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{24}^{2}q^{3}+\zeta_{24}^{7}q^{5}+(-\zeta_{24}^{2}+\zeta_{24}^{3}+\cdots)q^{7}+\cdots$$
256.2.g.a $4$ $2.044$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$-4$$ $$q+(\zeta_{8}+\zeta_{8}^{2})q^{3}+(1+\zeta_{8}+2\zeta_{8}^{2}-2\zeta_{8}^{3})q^{5}+\cdots$$
256.2.g.b $4$ $2.044$ $$\Q(\zeta_{8})$$ None None $$0$$ $$0$$ $$4$$ $$4$$ $$q+(-\zeta_{8}-\zeta_{8}^{2})q^{3}+(1+\zeta_{8}+2\zeta_{8}^{2}+\cdots)q^{5}+\cdots$$
256.2.g.c $8$ $2.044$ 8.0.18939904.2 None None $$0$$ $$-4$$ $$0$$ $$8$$ $$q+(-1+\beta _{1}+\beta _{6}-\beta _{7})q^{3}+(\beta _{4}-\beta _{7})q^{5}+\cdots$$
256.2.g.d $8$ $2.044$ 8.0.18939904.2 None None $$0$$ $$4$$ $$0$$ $$-8$$ $$q+(\beta _{2}+\beta _{6}-\beta _{7})q^{3}+(\beta _{6}+\beta _{7})q^{5}+\cdots$$
256.2.i.a $56$ $2.044$ None None $$0$$ $$8$$ $$-8$$ $$8$$
256.2.m.a $992$ $2.044$ None None $$-32$$ $$-32$$ $$-32$$ $$-32$$
256.3.c.a $1$ $6.975$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-8$$ $$0$$ $$q-8q^{5}+9q^{9}+24q^{13}+30q^{17}+\cdots$$
256.3.c.b $1$ $6.975$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$8$$ $$0$$ $$q+8q^{5}+9q^{9}-24q^{13}+30q^{17}+\cdots$$
256.3.c.c $2$ $6.975$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$-8$$ $$0$$ $$q+\beta q^{3}-4q^{5}+4\beta q^{7}+q^{9}-5\beta q^{11}+\cdots$$
256.3.c.d $2$ $6.975$ $$\Q(\sqrt{-2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\beta q^{3}-23q^{9}+3\beta q^{11}-2q^{17}+\cdots$$
256.3.c.e $2$ $6.975$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+iq^{3}+5q^{9}+7iq^{11}+2q^{17}+17iq^{19}+\cdots$$
256.3.c.f $2$ $6.975$ $$\Q(\sqrt{-2})$$ None None $$0$$ $$0$$ $$8$$ $$0$$ $$q+\beta q^{3}+4q^{5}-4\beta q^{7}+q^{9}-5\beta q^{11}+\cdots$$
256.3.c.g $4$ $6.975$ $$\Q(\zeta_{12})$$ None None $$0$$ $$0$$ $$0$$ $$0$$ $$q+\zeta_{12}^{2}q^{3}-\zeta_{12}q^{5}-\zeta_{12}^{3}q^{7}-3q^{9}+\cdots$$
256.3.d.a $2$ $6.975$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q-4q^{3}+iq^{5}-4iq^{7}+7q^{9}-4q^{11}+\cdots$$
256.3.d.b $2$ $6.975$ $$\Q(\sqrt{-1})$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $$q+3iq^{5}-9q^{9}+5iq^{13}-30q^{17}+\cdots$$
256.3.d.c $2$ $6.975$ $$\Q(\sqrt{-1})$$ None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+4q^{3}+iq^{5}+4iq^{7}+7q^{9}+4q^{11}+\cdots$$
256.3.d.d $4$ $6.975$ $$\Q(\zeta_{8})$$ None None $$0$$ $$-8$$ $$0$$ $$0$$ $$q+(-2-\zeta_{8}^{2})q^{3}+(-\zeta_{8}-\zeta_{8}^{3})q^{5}+\cdots$$
256.3.d.e $4$ $6.975$ $$\Q(\zeta_{8})$$ None None $$0$$ $$8$$ $$0$$ $$0$$ $$q+(2-\zeta_{8}^{2})q^{3}+(\zeta_{8}-\zeta_{8}^{3})q^{5}+(2\zeta_{8}+\cdots)q^{7}+\cdots$$
256.3.f.a $8$ $6.975$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$-16$$ $$0$$ $$q+\zeta_{24}^{2}q^{3}+(-2-2\zeta_{24}+\zeta_{24}^{4}+\cdots)q^{5}+\cdots$$
256.3.f.b $8$ $6.975$ 8.0.8540717056.1 None None $$0$$ $$0$$ $$-16$$ $$0$$ $$q+\beta _{2}q^{3}+(-2-2\beta _{1}-\beta _{6})q^{5}+(-\beta _{2}+\cdots)q^{7}+\cdots$$
256.3.f.c $8$ $6.975$ 8.0.8540717056.1 None None $$0$$ $$0$$ $$16$$ $$0$$ $$q+\beta _{2}q^{3}+(2+2\beta _{1}+\beta _{6})q^{5}+(\beta _{2}+\beta _{4}+\cdots)q^{7}+\cdots$$
256.3.f.d $8$ $6.975$ $$\Q(\zeta_{24})$$ None None $$0$$ $$0$$ $$16$$ $$0$$ $$q+\zeta_{24}^{2}q^{3}+(2+2\zeta_{24}-\zeta_{24}^{4})q^{5}+\cdots$$
256.3.h.a $28$ $6.975$ None None $$0$$ $$-4$$ $$4$$ $$4$$
256.3.h.b $28$ $6.975$ None None $$0$$ $$4$$ $$4$$ $$-4$$
256.3.j.a $120$ $6.975$ None None $$0$$ $$8$$ $$-8$$ $$8$$
256.3.n.a $2016$ $6.975$ None None $$-32$$ $$-32$$ $$-32$$ $$-32$$
256.4.a.a $1$ $15.104$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$-10$$ $$0$$ $$0$$ $-$ $$q-10q^{3}+73q^{9}+18q^{11}+90q^{17}+\cdots$$
256.4.a.b $1$ $15.104$ $$\Q$$ None None $$0$$ $$-8$$ $$-12$$ $$32$$ $-$ $$q-8q^{3}-12q^{5}+2^{5}q^{7}+37q^{9}+8q^{11}+\cdots$$
256.4.a.c $1$ $15.104$ $$\Q$$ None None $$0$$ $$-8$$ $$12$$ $$-32$$ $+$ $$q-8q^{3}+12q^{5}-2^{5}q^{7}+37q^{9}+8q^{11}+\cdots$$
256.4.a.d $1$ $15.104$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$-4$$ $$0$$ $+$ $$q-4q^{5}-3^{3}q^{9}+92q^{13}+94q^{17}+\cdots$$
256.4.a.e $1$ $15.104$ $$\Q$$ $$\Q(\sqrt{-1})$$ None $$0$$ $$0$$ $$4$$ $$0$$ $-$ $$q+4q^{5}-3^{3}q^{9}-92q^{13}+94q^{17}+\cdots$$
256.4.a.f $1$ $15.104$ $$\Q$$ None None $$0$$ $$8$$ $$-12$$ $$-32$$ $-$ $$q+8q^{3}-12q^{5}-2^{5}q^{7}+37q^{9}-8q^{11}+\cdots$$
256.4.a.g $1$ $15.104$ $$\Q$$ None None $$0$$ $$8$$ $$12$$ $$32$$ $+$ $$q+8q^{3}+12q^{5}+2^{5}q^{7}+37q^{9}-8q^{11}+\cdots$$
256.4.a.h $1$ $15.104$ $$\Q$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$10$$ $$0$$ $$0$$ $+$ $$q+10q^{3}+73q^{9}-18q^{11}+90q^{17}+\cdots$$
256.4.a.i $2$ $15.104$ $$\Q(\sqrt{3})$$ None None $$0$$ $$-4$$ $$0$$ $$0$$ $+$ $$q-2q^{3}-\beta q^{5}-2\beta q^{7}-23q^{9}+42q^{11}+\cdots$$
256.4.a.j $2$ $15.104$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$-16$$ $-$ $$q+\beta q^{3}-2\beta q^{5}-8q^{7}+q^{9}+3\beta q^{11}+\cdots$$
256.4.a.k $2$ $15.104$ $$\Q(\sqrt{2})$$ $$\Q(\sqrt{-2})$$ None $$0$$ $$0$$ $$0$$ $$0$$ $-$ $$q+\beta q^{3}-19q^{9}-5^{2}\beta q^{11}-90q^{17}+\cdots$$
256.4.a.l $2$ $15.104$ $$\Q(\sqrt{7})$$ None None $$0$$ $$0$$ $$0$$ $$16$$ $+$ $$q+\beta q^{3}+2\beta q^{5}+8q^{7}+q^{9}+3\beta q^{11}+\cdots$$
256.4.a.m $2$ $15.104$ $$\Q(\sqrt{3})$$ None None $$0$$ $$4$$ $$0$$ $$0$$ $-$ $$q+2q^{3}-\beta q^{5}+2\beta q^{7}-23q^{9}-42q^{11}+\cdots$$