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Results (49 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
579.1.s.a 579.s 579.s $16$ $0.289$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{10}q^{3}-\zeta_{32}^{2}q^{4}+(\zeta_{32}+\zeta_{32}^{7}+\cdots)q^{7}+\cdots\)
873.1.br.a 873.br 97.j $16$ $0.436$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{6}q^{4}+(\zeta_{32}+\zeta_{32}^{4})q^{7}+(-\zeta_{32}^{5}+\cdots)q^{13}+\cdots\)
896.1.bm.a 896.bm 896.am $16$ $0.447$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{13}q^{2}-\zeta_{32}^{10}q^{4}-\zeta_{32}^{9}q^{7}+\cdots\)
1028.1.l.a 1028.l 1028.l $16$ $0.513$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{8}q^{2}-q^{4}+(\zeta_{32}^{2}+\zeta_{32}^{13}+\cdots)q^{5}+\cdots\)
1351.1.bq.a 1351.bq 1351.aq $16$ $0.674$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{32}^{3}-\zeta_{32}^{15})q^{2}+(-\zeta_{32}^{2}+\cdots)q^{4}+\cdots\)
1544.1.bm.a 1544.bm 1544.am $16$ $0.771$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{2}+(-\zeta_{32}+\zeta_{32}^{11})q^{3}+\cdots\)
1731.1.x.a 1731.x 1731.x $16$ $0.864$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{2}q^{3}+\zeta_{32}^{4}q^{4}+(-\zeta_{32}^{8}+\zeta_{32}^{9}+\cdots)q^{7}+\cdots\)
1887.1.bh.a 1887.bh 1887.ah $32$ $0.942$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-111}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{64}^{19}+\zeta_{64}^{29})q^{2}-\zeta_{64}^{4}q^{3}+\cdots\)
1920.1.db.a 1920.db 1920.cb $32$ $0.958$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{23}q^{3}-\zeta_{64}^{22}q^{4}+\cdots\)
1940.1.cn.a 1940.cn 1940.bn $16$ $0.968$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{9}q^{2}-\zeta_{32}^{2}q^{4}+\zeta_{32}^{12}q^{5}+\cdots\)
1940.1.cs.a 1940.cs 1940.bs $16$ $0.968$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{11}q^{2}-\zeta_{32}^{6}q^{4}-\zeta_{32}^{3}q^{5}+\cdots\)
2037.1.dg.a 2037.dg 2037.cg $16$ $1.017$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{11}q^{3}+\zeta_{32}^{2}q^{4}-\zeta_{32}^{12}q^{7}+\cdots\)
2037.1.dg.b 2037.dg 2037.cg $16$ $1.017$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{11}q^{3}+\zeta_{32}^{2}q^{4}+\zeta_{32}^{3}q^{7}+\cdots\)
2056.1.v.a 2056.v 2056.v $16$ $1.026$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{8}q^{2}+(-\zeta_{32}-\zeta_{32}^{4})q^{3}-q^{4}+\cdots\)
2307.1.s.a 2307.s 2307.s $16$ $1.151$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{8}q^{3}-\zeta_{32}^{10}q^{4}+(-\zeta_{32}^{14}+\cdots)q^{7}+\cdots\)
2328.1.cv.a 2328.cv 2328.bv $16$ $1.162$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}q^{2}+\zeta_{32}^{8}q^{3}+\zeta_{32}^{2}q^{4}+\zeta_{32}^{9}q^{6}+\cdots\)
2328.1.cv.b 2328.cv 2328.bv $16$ $1.162$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}q^{2}+\zeta_{32}^{14}q^{3}+\zeta_{32}^{2}q^{4}+\cdots\)
2496.1.eh.a 2496.eh 2496.dh $32$ $1.246$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-39}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{26}q^{3}-\zeta_{64}^{22}q^{4}+\cdots\)
2519.1.d.f 2519.d 2519.d $16$ $1.257$ \(\Q(\zeta_{64})^+\) $D_{32}$ \(\Q(\sqrt{-2519}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\beta _{5}q^{2}+\beta _{2}q^{3}+(1+\beta _{10})q^{4}-\beta _{8}q^{5}+\cdots\)
2564.1.q.a 2564.q 2564.q $16$ $1.280$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{11}q^{2}-\zeta_{32}^{6}q^{4}+(\zeta_{32}^{9}-\zeta_{32}^{13}+\cdots)q^{5}+\cdots\)
2824.1.bd.a 2824.bd 2824.ad $16$ $1.409$ \(\Q(\zeta_{32})\) $D_{32}$ None \(\Q(\sqrt{2}) \) \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{6}q^{2}+\zeta_{32}^{12}q^{4}+(-\zeta_{32}^{2}+\cdots)q^{7}+\cdots\)
2827.1.r.a 2827.r 2827.r $16$ $1.411$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}^{10}-\zeta_{32}^{15})q^{3}-q^{4}+(-\zeta_{32}^{6}+\cdots)q^{5}+\cdots\)
2944.1.bf.a 2944.bf 2944.af $16$ $1.469$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{11}q^{2}+(-\zeta_{32}^{4}-\zeta_{32}^{11})q^{3}+\cdots\)
3040.1.cn.a 3040.cn 3040.bn $32$ $1.517$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-95}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}+(-\zeta_{64}^{25}-\zeta_{64}^{31}+\cdots)q^{3}+\cdots\)
3076.1.t.a 3076.t 3076.t $16$ $1.535$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{15}q^{2}-\zeta_{32}^{14}q^{4}+(-\zeta_{32}^{2}+\cdots)q^{5}+\cdots\)
3088.1.cr.a 3088.cr 772.t $16$ $1.541$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{32}^{2}+\zeta_{32}^{3})q^{5}+\zeta_{32}^{4}q^{9}+\cdots\)
3104.1.ep.a 3104.ep 97.j $16$ $1.549$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}^{12}+\zeta_{32}^{15})q^{5}-\zeta_{32}^{2}q^{9}+\cdots\)
3111.1.bi.a 3111.bi 3111.ai $32$ $1.553$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-183}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{64}^{19}+\zeta_{64}^{29})q^{2}+\zeta_{64}^{4}q^{3}+\cdots\)
3143.1.z.a 3143.z 3143.z $16$ $1.569$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{32}^{2}+\zeta_{32}^{4})q^{2}+(\zeta_{32}^{4}+\zeta_{32}^{6}+\cdots)q^{4}+\cdots\)
3201.1.cg.a 3201.cg 3201.bg $16$ $1.598$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{3}q^{3}+\zeta_{32}^{6}q^{4}+(-\zeta_{32}+\zeta_{32}^{10}+\cdots)q^{5}+\cdots\)
3201.1.cg.b 3201.cg 3201.bg $16$ $1.598$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{15}q^{3}+\zeta_{32}^{6}q^{4}+(\zeta_{32}-\zeta_{32}^{10}+\cdots)q^{5}+\cdots\)
3459.1.x.a 3459.x 3459.x $16$ $1.726$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{3}q^{3}+\zeta_{32}^{12}q^{4}+(\zeta_{32}^{7}-\zeta_{32}^{12}+\cdots)q^{7}+\cdots\)
3492.1.dj.a 3492.dj 1164.an $16$ $1.743$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-16\) \(0\) \(q-\zeta_{32}^{7}q^{2}+\zeta_{32}^{14}q^{4}+(-1-\zeta_{32}^{15}+\cdots)q^{5}+\cdots\)
3492.1.dj.b 3492.dj 1164.an $16$ $1.743$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(16\) \(0\) \(q+\zeta_{32}^{7}q^{2}+\zeta_{32}^{14}q^{4}+(1+\zeta_{32}^{15}+\cdots)q^{5}+\cdots\)
3520.1.db.a 3520.db 3520.cb $32$ $1.757$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{22}q^{4}+\zeta_{64}^{26}q^{5}+\cdots\)
3552.1.ce.a 3552.ce 3552.be $32$ $1.773$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-111}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}+\zeta_{64}^{4}q^{3}-\zeta_{64}^{22}q^{4}+\cdots\)
3584.1.bm.a 3584.bm 896.am $16$ $1.789$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{5}q^{7}+\zeta_{32}^{3}q^{9}+(\zeta_{32}^{6}+\zeta_{32}^{15}+\cdots)q^{11}+\cdots\)
3592.1.bg.a 3592.bg 3592.ag $16$ $1.793$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{7}q^{2}+(\zeta_{32}^{11}-\zeta_{32}^{14})q^{3}+\cdots\)
3740.1.da.a 3740.da 3740.ca $32$ $1.867$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{22}q^{4}-\zeta_{64}^{14}q^{5}+\cdots\)
3740.1.da.b 3740.da 3740.ca $32$ $1.867$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-55}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{64}^{27}q^{2}-\zeta_{64}^{22}q^{4}+\zeta_{64}^{2}q^{5}+\cdots\)
3783.1.fs.a 3783.fs 3783.es $16$ $1.888$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{9}q^{3}-\zeta_{32}^{14}q^{4}+(-\zeta_{32}^{9}+\cdots)q^{7}+\cdots\)
3783.1.fs.b 3783.fs 3783.es $16$ $1.888$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{9}q^{3}-\zeta_{32}^{14}q^{4}+(\zeta_{32}-\zeta_{32}^{4}+\cdots)q^{7}+\cdots\)
3783.1.ft.a 3783.ft 3783.et $16$ $1.888$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{11}q^{3}+\zeta_{32}^{10}q^{4}+(\zeta_{32}^{3}-\zeta_{32}^{12}+\cdots)q^{7}+\cdots\)
3783.1.ft.b 3783.ft 3783.et $16$ $1.888$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{11}q^{3}+\zeta_{32}^{10}q^{4}+(\zeta_{32}^{4}-\zeta_{32}^{11}+\cdots)q^{7}+\cdots\)
3855.1.bk.a 3855.bk 3855.ak $32$ $1.924$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{64}^{3}+\zeta_{64}^{29})q^{2}+\zeta_{64}^{7}q^{3}+(-1+\cdots)q^{4}+\cdots\)
3860.1.co.a 3860.co 3860.bo $16$ $1.926$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{13}q^{2}-\zeta_{32}^{10}q^{4}+\zeta_{32}^{2}q^{5}+\cdots\)
3860.1.co.b 3860.co 3860.bo $16$ $1.926$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{32}^{13}q^{2}-\zeta_{32}^{10}q^{4}+\zeta_{32}^{3}q^{5}+\cdots\)
3955.1.c.e 3955.c 3955.c $32$ $1.974$ \(\Q(\zeta_{64})\) $D_{32}$ \(\Q(\sqrt{-791}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{64}^{6}+\zeta_{64}^{26})q^{2}+(-\zeta_{64}-\zeta_{64}^{31}+\cdots)q^{3}+\cdots\)
3968.1.cf.a 3968.cf 3968.bf $16$ $1.980$ \(\Q(\zeta_{32})\) $D_{32}$ \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{32}^{14}q^{2}-\zeta_{32}^{12}q^{4}+(-\zeta_{32}+\cdots)q^{5}+\cdots\)
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