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Results (42 matches)

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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
1252.1.x.a 1252.x 1252.x $24$ $0.625$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(0\) \(0\) \(q+\zeta_{78}^{10}q^{2}+\zeta_{78}^{20}q^{4}+(\zeta_{78}^{6}+\zeta_{78}^{33}+\cdots)q^{5}+\cdots\)
1659.1.cd.a 1659.cd 1659.bd $24$ $0.828$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(2\) \(q+\zeta_{78}^{36}q^{3}+\zeta_{78}^{28}q^{4}-\zeta_{78}^{6}q^{7}+\cdots\)
1659.1.da.a 1659.da 1659.ca $24$ $0.828$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(1\) \(q+\zeta_{78}^{11}q^{3}+\zeta_{78}^{36}q^{4}-\zeta_{78}^{31}q^{7}+\cdots\)
1727.1.bg.a 1727.bg 1727.ag $24$ $0.862$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-11}) \) None \(0\) \(-1\) \(13\) \(0\) \(q+(\zeta_{78}^{30}-\zeta_{78}^{37})q^{3}-\zeta_{78}^{12}q^{4}+\cdots\)
1884.1.bq.a 1884.bq 471.t $24$ $0.940$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q+\zeta_{78}^{16}q^{3}+(\zeta_{78}^{18}+\zeta_{78}^{27})q^{7}+\cdots\)
2028.1.bm.a 2028.bm 507.v $24$ $1.012$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(3\) \(q+\zeta_{78}^{29}q^{3}+(\zeta_{78}^{8}+\zeta_{78}^{15})q^{7}+\cdots\)
2133.1.bw.a 2133.bw 79.h $24$ $1.065$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(-3\) \(q-\zeta_{78}^{16}q^{4}+(-\zeta_{78}^{8}-\zeta_{78}^{9})q^{7}+\cdots\)
2212.1.ce.a 2212.ce 2212.be $24$ $1.104$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-7}) \) None \(-1\) \(0\) \(0\) \(1\) \(q+\zeta_{78}^{37}q^{2}-\zeta_{78}^{35}q^{4}+\zeta_{78}^{34}q^{7}+\cdots\)
2212.1.ce.b 2212.ce 2212.be $24$ $1.104$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(-1\) \(q+\zeta_{78}^{27}q^{2}-\zeta_{78}^{15}q^{4}-\zeta_{78}^{34}q^{7}+\cdots\)
2332.1.bf.a 2332.bf 583.n $24$ $1.164$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-11}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{78}-\zeta_{78}^{17})q^{3}+(\zeta_{78}^{14}-\zeta_{78}^{22}+\cdots)q^{5}+\cdots\)
2483.1.j.b 2483.j 2483.j $24$ $1.239$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-191}) \) None \(-3\) \(-2\) \(0\) \(0\) \(q+(\zeta_{78}^{25}-\zeta_{78}^{27})q^{2}+(\zeta_{78}^{17}+\zeta_{78}^{35}+\cdots)q^{3}+\cdots\)
2504.1.bz.a 2504.bz 2504.az $24$ $1.250$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(14\) \(0\) \(0\) \(q+\zeta_{78}^{17}q^{2}+(-\zeta_{78}^{6}-\zeta_{78}^{26})q^{3}+\cdots\)
2512.1.cj.a 2512.cj 628.t $24$ $1.254$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{78}^{25}-\zeta_{78}^{31})q^{5}-\zeta_{78}^{29}q^{9}+\cdots\)
2704.1.cm.a 2704.cm 676.u $24$ $1.349$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{78}^{29}-\zeta_{78}^{31})q^{5}+\zeta_{78}^{38}q^{9}+\cdots\)
2756.1.cn.a 2756.cn 2756.bn $24$ $1.375$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q-\zeta_{78}^{16}q^{2}+\zeta_{78}^{32}q^{4}+(\zeta_{78}^{17}+\cdots)q^{5}+\cdots\)
2756.1.cn.b 2756.cn 2756.bn $24$ $1.375$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(2\) \(0\) \(q+\zeta_{78}^{16}q^{2}+\zeta_{78}^{32}q^{4}+(\zeta_{78}^{4}-\zeta_{78}^{5}+\cdots)q^{5}+\cdots\)
2811.1.bg.a 2811.bg 2811.ag $24$ $1.403$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{78}^{19}q^{3}-\zeta_{78}^{31}q^{4}+(\zeta_{78}-\zeta_{78}^{7}+\cdots)q^{7}+\cdots\)
2844.1.ct.a 2844.ct 79.h $24$ $1.419$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{78}^{7}+\zeta_{78}^{25})q^{7}+(\zeta_{78}^{30}-\zeta_{78}^{31}+\cdots)q^{13}+\cdots\)
2983.1.cg.a 2983.cg 2983.bg $24$ $1.489$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-19}) \) None \(0\) \(0\) \(3\) \(0\) \(q-\zeta_{78}^{12}q^{4}+(\zeta_{78}^{16}-\zeta_{78}^{30})q^{5}+\cdots\)
3081.1.da.a 3081.da 3081.ca $24$ $1.538$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(0\) \(q-\zeta_{78}^{30}q^{3}-\zeta_{78}^{6}q^{4}+(\zeta_{78}^{29}-\zeta_{78}^{31}+\cdots)q^{7}+\cdots\)
3081.1.dq.c 3081.dq 3081.cq $48$ $1.538$ \(\Q(\zeta_{156})\) $D_{78}$ \(\Q(\sqrt{-39}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(\zeta_{156}^{27}-\zeta_{156}^{43})q^{2}+\zeta_{156}^{38}q^{3}+\cdots\)
3081.1.ds.a 3081.ds 3081.cs $24$ $1.538$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-3\) \(q+\zeta_{78}^{5}q^{3}+\zeta_{78}q^{4}+(\zeta_{78}^{29}-\zeta_{78}^{33}+\cdots)q^{7}+\cdots\)
3127.1.h.b 3127.h 3127.h $24$ $1.561$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-59}) \) None \(0\) \(0\) \(0\) \(-2\) \(q+(-\zeta_{78}^{7}-\zeta_{78}^{8})q^{3}+\zeta_{78}^{33}q^{4}+\cdots\)
3140.1.co.a 3140.co 3140.bo $24$ $1.567$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(1\) \(0\) \(q-\zeta_{78}^{3}q^{2}+\zeta_{78}^{6}q^{4}-\zeta_{78}^{17}q^{5}+\cdots\)
3140.1.co.b 3140.co 3140.bo $24$ $1.567$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(2\) \(0\) \(-1\) \(0\) \(q+\zeta_{78}^{3}q^{2}+\zeta_{78}^{6}q^{4}-\zeta_{78}^{32}q^{5}+\cdots\)
3297.1.dn.a 3297.dn 3297.cn $24$ $1.645$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q+\zeta_{78}^{28}q^{3}+\zeta_{78}^{11}q^{4}+\zeta_{78}^{31}q^{7}+\cdots\)
3297.1.ds.a 3297.ds 3297.cs $24$ $1.645$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(1\) \(q+\zeta_{78}^{6}q^{3}-\zeta_{78}^{20}q^{4}+\zeta_{78}^{10}q^{7}+\cdots\)
3380.1.co.a 3380.co 3380.bo $24$ $1.687$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) \(q+\zeta_{78}^{17}q^{2}+\zeta_{78}^{34}q^{4}-\zeta_{78}q^{5}+\cdots\)
3380.1.co.b 3380.co 3380.bo $24$ $1.687$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(-1\) \(0\) \(q-\zeta_{78}^{17}q^{2}+\zeta_{78}^{34}q^{4}-\zeta_{78}^{32}q^{5}+\cdots\)
3419.1.j.b 3419.j 3419.j $24$ $1.706$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-263}) \) None \(0\) \(-1\) \(0\) \(0\) \(q+(\zeta_{78}^{23}-\zeta_{78}^{29})q^{2}+(-\zeta_{78}^{15}+\cdots)q^{3}+\cdots\)
3443.1.bm.a 3443.bm 3443.am $24$ $1.718$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-11}) \) None \(0\) \(1\) \(0\) \(0\) \(q+(-\zeta_{78}^{4}+\zeta_{78}^{33})q^{3}+\zeta_{78}^{32}q^{4}+\cdots\)
3549.1.da.a 3549.da 3549.ca $24$ $1.771$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-1\) \(q-\zeta_{78}^{20}q^{3}+\zeta_{78}^{15}q^{4}+\zeta_{78}^{35}q^{7}+\cdots\)
3549.1.ds.a 3549.ds 3549.cs $24$ $1.771$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(2\) \(0\) \(1\) \(q+\zeta_{78}^{15}q^{3}-\zeta_{78}^{8}q^{4}-\zeta_{78}q^{7}+\cdots\)
3555.1.dk.a 3555.dk 395.u $48$ $1.774$ \(\Q(\zeta_{156})\) $D_{78}$ \(\Q(\sqrt{-15}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{156}^{47}+\zeta_{156}^{77})q^{2}+(-\zeta_{156}^{16}+\cdots)q^{4}+\cdots\)
3748.1.bf.a 3748.bf 3748.af $24$ $1.870$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-3\) \(0\) \(q+\zeta_{78}^{23}q^{2}-\zeta_{78}^{7}q^{4}+(\zeta_{78}^{18}-\zeta_{78}^{22}+\cdots)q^{5}+\cdots\)
3756.1.by.a 3756.by 939.y $24$ $1.874$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(0\) \(q-\zeta_{78}^{25}q^{3}+(-\zeta_{78}^{15}+\zeta_{78}^{21}+\cdots)q^{7}+\cdots\)
3792.1.dc.a 3792.dc 948.ac $24$ $1.892$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{78}^{29}q^{3}+(\zeta_{78}^{7}+\zeta_{78}^{25})q^{7}+\cdots\)
3792.1.dc.b 3792.dc 948.ac $24$ $1.892$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{78}^{29}q^{3}+(-\zeta_{78}^{7}-\zeta_{78}^{25})q^{7}+\cdots\)
3871.1.bx.a 3871.bx 553.ad $24$ $1.932$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(0\) \(q+(\zeta_{78}^{4}-\zeta_{78}^{11})q^{2}+(\zeta_{78}^{8}-\zeta_{78}^{15}+\cdots)q^{4}+\cdots\)
3871.1.cc.a 3871.cc 79.h $24$ $1.932$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-7}) \) None \(-1\) \(0\) \(0\) \(0\) \(q+(-\zeta_{78}^{19}+\zeta_{78}^{36})q^{2}+(\zeta_{78}^{16}+\cdots)q^{4}+\cdots\)
3871.1.cg.a 3871.cg 553.am $24$ $1.932$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-7}) \) None \(-1\) \(0\) \(0\) \(0\) \(q+(\zeta_{78}^{34}+\zeta_{78}^{36})q^{2}+(-\zeta_{78}^{29}+\cdots)q^{4}+\cdots\)
3887.1.s.b 3887.s 3887.s $24$ $1.940$ \(\Q(\zeta_{39})\) $D_{78}$ \(\Q(\sqrt{-23}) \) None \(0\) \(-2\) \(0\) \(0\) \(q+(-\zeta_{78}^{23}+\zeta_{78}^{25})q^{2}+(\zeta_{78}^{7}+\zeta_{78}^{17}+\cdots)q^{3}+\cdots\)
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