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Results (33 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1359.1.bp.a 1359.bp 151.j $20$ $0.678$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{20}q^{4}+(\zeta_{50}^{8}-\zeta_{50}^{14})q^{7}+\cdots\)
1375.1.bz.a 1375.bz 1375.az $20$ $0.686$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(5\) \(0\) \(q+(\zeta_{50}^{7}-\zeta_{50}^{21})q^{3}-\zeta_{50}^{4}q^{4}-\zeta_{50}^{20}q^{5}+\cdots\)
1604.1.v.a 1604.v 1604.v $20$ $0.801$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(-5\) \(0\) \(q+\zeta_{50}^{23}q^{2}-\zeta_{50}^{21}q^{4}+(-\zeta_{50}^{13}+\cdots)q^{5}+\cdots\)
1616.1.br.a 1616.br 404.n $20$ $0.806$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{9}-\zeta_{50}^{13})q^{5}+\zeta_{50}^{7}q^{9}+\cdots\)
1803.1.bd.a 1803.bd 1803.ad $20$ $0.900$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{8}q^{3}-\zeta_{50}^{3}q^{4}+(-\zeta_{50}^{6}-\zeta_{50}^{23}+\cdots)q^{7}+\cdots\)
1919.1.bg.a 1919.bg 1919.ag $20$ $0.958$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{18}q^{4}+(\zeta_{50}-\zeta_{50}^{6})q^{5}+(\zeta_{50}^{14}+\cdots)q^{7}+\cdots\)
1975.1.m.a 1975.m 1975.m $20$ $0.986$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-79}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{18}+\zeta_{50}^{22})q^{2}+(-\zeta_{50}^{11}+\cdots)q^{4}+\cdots\)
2000.1.bp.a 2000.bp 500.n $20$ $0.998$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{9}q^{5}+\zeta_{50}^{7}q^{9}+(\zeta_{50}^{3}-\zeta_{50}^{11}+\cdots)q^{13}+\cdots\)
2020.1.bt.a 2020.bt 2020.at $20$ $1.008$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{8}q^{2}+\zeta_{50}^{16}q^{4}+\zeta_{50}^{11}q^{5}+\cdots\)
2020.1.bt.b 2020.bt 2020.at $20$ $1.008$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{8}q^{2}+\zeta_{50}^{16}q^{4}+\zeta_{50}^{23}q^{5}+\cdots\)
2020.1.bt.c 2020.bt 2020.at $40$ $1.008$ \(\Q(\zeta_{100})\) $D_{50}$ \(\Q(\sqrt{-5}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{100}q^{2}+(-\zeta_{100}^{15}-\zeta_{100}^{23})q^{3}+\cdots\)
2323.1.v.a 2323.v 2323.v $20$ $1.159$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-23}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{17}-\zeta_{50}^{24})q^{2}+(-\zeta_{50}+\cdots)q^{3}+\cdots\)
2375.1.bf.a 2375.bf 2375.af $20$ $1.185$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{7}q^{4}-\zeta_{50}^{9}q^{5}+(\zeta_{50}^{9}-\zeta_{50}^{11}+\cdots)q^{7}+\cdots\)
2395.1.c.d 2395.c 2395.c $20$ $1.195$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-479}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{50}^{3}+\zeta_{50}^{22})q^{2}+(-\zeta_{50}^{7}-\zeta_{50}^{18}+\cdots)q^{3}+\cdots\)
2404.1.bf.a 2404.bf 2404.af $20$ $1.200$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}q^{2}+\zeta_{50}^{2}q^{4}+(-\zeta_{50}^{12}+\zeta_{50}^{13}+\cdots)q^{5}+\cdots\)
2424.1.ch.a 2424.ch 2424.bh $40$ $1.210$ \(\Q(\zeta_{100})\) $D_{50}$ \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{100}q^{2}-\zeta_{100}^{19}q^{3}+\zeta_{100}^{2}q^{4}+\cdots\)
2807.1.bh.a 2807.bh 2807.ah $20$ $1.401$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-7}) \) None \(5\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{20}-\zeta_{50}^{22})q^{2}+(-\zeta_{50}^{15}+\cdots)q^{4}+\cdots\)
2867.1.n.a 2867.n 2867.n $20$ $1.431$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-47}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{11}-\zeta_{50}^{24})q^{2}+(\zeta_{50}^{3}+\zeta_{50}^{7}+\cdots)q^{3}+\cdots\)
2975.1.br.a 2975.br 2975.ar $40$ $1.485$ \(\Q(\zeta_{100})\) $D_{50}$ \(\Q(\sqrt{-119}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{100}^{8}+\zeta_{100}^{22})q^{2}+(-\zeta_{100}^{3}-\zeta_{100}^{7}+\cdots)q^{3}+\cdots\)
2995.1.c.d 2995.c 2995.c $20$ $1.495$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-599}) \) None \(0\) \(0\) \(-5\) \(0\) \(q+(\zeta_{50}^{3}+\zeta_{50}^{22})q^{2}+(\zeta_{50}^{7}+\zeta_{50}^{18}+\cdots)q^{3}+\cdots\)
3000.1.ce.a 3000.ce 3000.be $40$ $1.497$ \(\Q(\zeta_{100})\) $D_{50}$ \(\Q(\sqrt{-6}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{100}q^{2}+\zeta_{100}^{7}q^{3}+\zeta_{100}^{2}q^{4}+\zeta_{100}^{41}q^{5}+\cdots\)
3131.1.de.a 3131.de 3131.ce $20$ $1.563$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-31}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{50}^{16}+\zeta_{50}^{18})q^{2}+(-\zeta_{50}^{7}+\cdots)q^{4}+\cdots\)
3171.1.di.a 3171.di 3171.ci $20$ $1.583$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{22}q^{3}-\zeta_{50}^{5}q^{4}-\zeta_{50}^{21}q^{7}+\cdots\)
3171.1.di.b 3171.di 3171.ci $20$ $1.583$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{22}q^{3}-\zeta_{50}^{5}q^{4}-\zeta_{50}^{12}q^{7}+\cdots\)
3208.1.bq.a 3208.bq 3208.aq $20$ $1.601$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-2}) \) None \(0\) \(5\) \(0\) \(0\) \(q+\zeta_{50}^{19}q^{2}+(-\zeta_{50}^{3}-\zeta_{50}^{10})q^{3}+\cdots\)
3275.1.o.a 3275.o 3275.o $20$ $1.634$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-131}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{50}^{18}-\zeta_{50}^{22})q^{3}-\zeta_{50}^{20}q^{4}+\cdots\)
3476.1.s.a 3476.s 3476.s $20$ $1.735$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-79}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{50}^{19}q^{2}-\zeta_{50}^{13}q^{4}+(-\zeta_{50}^{8}+\cdots)q^{5}+\cdots\)
3476.1.s.b 3476.s 3476.s $20$ $1.735$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-79}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{19}q^{2}-\zeta_{50}^{13}q^{4}+(\zeta_{50}^{7}+\zeta_{50}^{23}+\cdots)q^{5}+\cdots\)
3603.1.bi.a 3603.bi 3603.ai $20$ $1.798$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{7}q^{3}-\zeta_{50}^{21}q^{4}+(-\zeta_{50}^{8}+\cdots)q^{7}+\cdots\)
3636.1.bv.a 3636.bv 404.n $40$ $1.815$ \(\Q(\zeta_{100})\) $D_{50}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{100}^{29}q^{2}-\zeta_{100}^{8}q^{4}+(\zeta_{100}^{43}+\zeta_{100}^{49}+\cdots)q^{5}+\cdots\)
3832.1.c.e 3832.c 3832.c $20$ $1.912$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-479}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{50}^{19}q^{2}+(-\zeta_{50}^{11}-\zeta_{50}^{14}+\cdots)q^{3}+\cdots\)
3875.1.dk.a 3875.dk 3875.ck $20$ $1.934$ \(\Q(\zeta_{50})\) $D_{50}$ \(\Q(\sqrt{-31}) \) None \(5\) \(0\) \(0\) \(0\) \(q+(\zeta_{50}^{12}-\zeta_{50}^{20})q^{2}+(\zeta_{50}^{7}-\zeta_{50}^{15}+\cdots)q^{4}+\cdots\)
3975.1.z.a 3975.z 3975.z $40$ $1.984$ \(\Q(\zeta_{100})\) $D_{50}$ \(\Q(\sqrt{-159}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{100}^{3}-\zeta_{100}^{37})q^{2}+\zeta_{100}^{15}q^{3}+\cdots\)
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