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Label Dim. \(A\) Field CM RM Traces Fricke sign $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1280.1.e.a $2$ $0.639$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{5}) \) \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{5}+q^{9}-q^{25}-iq^{29}+q^{41}+\cdots\)
1280.1.h.a $2$ $0.639$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q-\beta q^{3}-q^{5}-\beta q^{7}+q^{9}+\beta q^{15}+\cdots\)
1280.1.h.b $2$ $0.639$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \), \(\Q(\sqrt{-10}) \) \(\Q(\sqrt{10}) \) \(0\) \(0\) \(0\) \(0\) $-$ \(q-iq^{5}-q^{9}-iq^{13}-q^{25}-iq^{37}+\cdots\)
1280.1.h.c $2$ $0.639$ \(\Q(\sqrt{2}) \) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q-\beta q^{3}+q^{5}+\beta q^{7}+q^{9}-\beta q^{15}+\cdots\)
1280.1.m.a $2$ $0.639$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q-q^{5}+iq^{9}+(-1+i)q^{13}+(-1+\cdots)q^{17}+\cdots\)
1280.1.m.b $2$ $0.639$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q+q^{5}+iq^{9}+(1-i)q^{13}+(-1+i+\cdots)q^{17}+\cdots\)
1280.1.p.a $2$ $0.639$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-2\) \(0\) $-$ \(q-q^{5}-iq^{9}+(1+i)q^{13}+(1-i)q^{17}+\cdots\)
1280.1.p.b $2$ $0.639$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(2\) \(0\) $-$ \(q+q^{5}-iq^{9}+(-1-i)q^{13}+(1-i+\cdots)q^{17}+\cdots\)
1280.2.a.a $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(-2\) \(2\) $+$ \(q+(-1+\beta )q^{3}-q^{5}+(1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
1280.2.a.b $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(-2\) \(6\) $-$ \(q+(-1+\beta )q^{3}-q^{5}+(3-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
1280.2.a.c $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(2\) \(-6\) $+$ \(q+(-1+\beta )q^{3}+q^{5}+(-3+\beta )q^{7}+\cdots\)
1280.2.a.d $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(-2\) \(2\) \(-2\) $+$ \(q+(-1+\beta )q^{3}+q^{5}+(-1-\beta )q^{7}+\cdots\)
1280.2.a.e $2$ $10.221$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) $+$ \(q+\beta q^{3}-q^{5}-\beta q^{7}-q^{9}-2\beta q^{11}+\cdots\)
1280.2.a.f $2$ $10.221$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\beta q^{3}-q^{5}-3\beta q^{7}-q^{9}+4\beta q^{11}+\cdots\)
1280.2.a.g $2$ $10.221$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\beta q^{3}-q^{5}+3\beta q^{7}-q^{9}+2\beta q^{11}+\cdots\)
1280.2.a.h $2$ $10.221$ \(\Q(\sqrt{10}) \) None None \(0\) \(0\) \(-2\) \(0\) $-$ \(q+\beta q^{3}-q^{5}+\beta q^{7}+7q^{9}-6q^{13}+\cdots\)
1280.2.a.i $2$ $10.221$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) $+$ \(q+\beta q^{3}+q^{5}-3\beta q^{7}-q^{9}+2\beta q^{11}+\cdots\)
1280.2.a.j $2$ $10.221$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+\beta q^{3}+q^{5}+3\beta q^{7}-q^{9}+4\beta q^{11}+\cdots\)
1280.2.a.k $2$ $10.221$ \(\Q(\sqrt{2}) \) None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+\beta q^{3}+q^{5}+\beta q^{7}-q^{9}-2\beta q^{11}+\cdots\)
1280.2.a.l $2$ $10.221$ \(\Q(\sqrt{10}) \) None None \(0\) \(0\) \(2\) \(0\) $-$ \(q+\beta q^{3}+q^{5}-\beta q^{7}+7q^{9}+6q^{13}+\cdots\)
1280.2.a.m $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(-2\) \(-6\) $+$ \(q+(1+\beta )q^{3}-q^{5}+(-3-\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
1280.2.a.n $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(-2\) \(-2\) $-$ \(q+(1+\beta )q^{3}-q^{5}+(-1+\beta )q^{7}+(1+\cdots)q^{9}+\cdots\)
1280.2.a.o $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(2\) \(2\) $-$ \(q+(1+\beta )q^{3}+q^{5}+(1-\beta )q^{7}+(1+2\beta )q^{9}+\cdots\)
1280.2.a.p $2$ $10.221$ \(\Q(\sqrt{3}) \) None None \(0\) \(2\) \(2\) \(6\) $-$ \(q+(1+\beta )q^{3}+q^{5}+(3+\beta )q^{7}+(1+2\beta )q^{9}+\cdots\)
1280.2.c.a $2$ $10.221$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-4\) \(0\) $-$ \(q+(-2+i)q^{5}+3q^{9}-6iq^{13}+8iq^{17}+\cdots\)
1280.2.c.b $2$ $10.221$ \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta q^{5}-2\beta q^{7}+3q^{9}-2q^{11}-2\beta q^{13}+\cdots\)
1280.2.c.c $2$ $10.221$ \(\Q(\sqrt{-5}) \) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta q^{5}+2\beta q^{7}+3q^{9}+2q^{11}-2\beta q^{13}+\cdots\)
1280.2.c.d $2$ $10.221$ \(\Q(\sqrt{-1}) \) \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(4\) \(0\) $-$ \(q+(2+i)q^{5}+3q^{9}-6iq^{13}-8iq^{17}+\cdots\)
1280.2.c.e $4$ $10.221$ \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(-4\) \(0\) $-$ \(q+\beta _{2}q^{3}+(-1-\beta _{1})q^{5}+\beta _{2}q^{7}-3q^{9}+\cdots\)
1280.2.c.f $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{5})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{2}q^{3}+\beta _{3}q^{5}+3\beta _{1}q^{7}-7q^{9}+\cdots\)
1280.2.c.g $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{3}q^{3}+(-\beta _{1}+\beta _{2})q^{5}-\beta _{1}q^{7}+\cdots\)
1280.2.c.h $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{3}q^{3}+(\beta _{1}+\beta _{2})q^{5}-\beta _{1}q^{7}-3q^{9}+\cdots\)
1280.2.c.i $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{1}q^{3}+(-\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+\cdots\)
1280.2.c.j $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{5})\) \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{1}q^{3}-\beta _{3}q^{5}-\beta _{2}q^{7}+q^{9}+\beta _{2}q^{15}+\cdots\)
1280.2.c.k $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{3})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q-\beta _{1}q^{3}+(\beta _{1}-\beta _{2})q^{5}+\beta _{3}q^{7}+q^{9}+\cdots\)
1280.2.c.l $4$ $10.221$ \(\Q(\sqrt{-2}, \sqrt{-5})\) \(\Q(\sqrt{-10}) \) None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\beta _{2}q^{5}-\beta _{1}q^{7}+3q^{9}-\beta _{3}q^{11}+\cdots\)
1280.2.c.m $4$ $10.221$ \(\Q(i, \sqrt{6})\) None None \(0\) \(0\) \(4\) \(0\) $-$ \(q+\beta _{2}q^{3}+(1+\beta _{1})q^{5}-\beta _{2}q^{7}-3q^{9}+\cdots\)
1280.2.d.a $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-8\) $-$ \(q+iq^{5}-4q^{7}+3q^{9}-4iq^{11}+2iq^{13}+\cdots\)
1280.2.d.b $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-4\) $-$ \(q+2iq^{3}+iq^{5}-2q^{7}-q^{9}-4iq^{11}+\cdots\)
1280.2.d.c $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-4\) $-$ \(q+2iq^{3}-iq^{5}-2q^{7}-q^{9}-2iq^{13}+\cdots\)
1280.2.d.d $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(-4\) $-$ \(q-iq^{5}-2q^{7}+3q^{9}-6iq^{11}+2iq^{13}+\cdots\)
1280.2.d.e $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+2iq^{3}+iq^{5}-q^{9}-2iq^{11}+2iq^{13}+\cdots\)
1280.2.d.f $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+2iq^{3}-iq^{5}-q^{9}-2iq^{11}-2iq^{13}+\cdots\)
1280.2.d.g $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(4\) $-$ \(q+2iq^{3}+iq^{5}+2q^{7}-q^{9}+2iq^{13}+\cdots\)
1280.2.d.h $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(4\) $-$ \(q+2iq^{3}-iq^{5}+2q^{7}-q^{9}-4iq^{11}+\cdots\)
1280.2.d.i $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(4\) $-$ \(q+iq^{5}+2q^{7}+3q^{9}-6iq^{11}-2iq^{13}+\cdots\)
1280.2.d.j $2$ $10.221$ \(\Q(\sqrt{-1}) \) None None \(0\) \(0\) \(0\) \(8\) $-$ \(q+iq^{5}+4q^{7}+3q^{9}+4iq^{11}+2iq^{13}+\cdots\)
1280.2.d.k $4$ $10.221$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(-4\) $-$ \(q+(-\beta _{1}+\beta _{2})q^{3}-\beta _{1}q^{5}+(-1-\beta _{3})q^{7}+\cdots\)
1280.2.d.l $4$ $10.221$ \(\Q(\zeta_{8})\) None None \(0\) \(0\) \(0\) \(0\) $-$ \(q+\zeta_{8}^{2}q^{3}+\zeta_{8}q^{5}-\zeta_{8}^{3}q^{7}-5q^{9}+\cdots\)
1280.2.d.m $4$ $10.221$ \(\Q(i, \sqrt{5})\) None None \(0\) \(0\) \(0\) \(4\) $-$ \(q+(-\beta _{1}+\beta _{2})q^{3}+\beta _{1}q^{5}+(1+\beta _{3})q^{7}+\cdots\)
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