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Label Char Prim Dim $A$ Field Image CM RM Traces Sato-Tate $q$-expansion
$a_{2}$ $a_{3}$ $a_{5}$ $a_{7}$
749.1.j.a 749.j 749.j $52$ $0.374$ \(\Q(\zeta_{106})\) $D_{53}$ \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(-\zeta_{106}^{25}+\zeta_{106}^{40})q^{2}+(\zeta_{106}^{12}+\cdots)q^{4}+\cdots\)
847.1.bb.a 847.bb 847.ab $40$ $0.423$ \(\Q(\zeta_{55})\) $D_{55}$ \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(1\) \(q+(\zeta_{110}^{8}-\zeta_{110}^{49})q^{2}+(\zeta_{110}^{2}+\zeta_{110}^{16}+\cdots)q^{4}+\cdots\)
856.1.l.a 856.l 856.l $52$ $0.427$ \(\Q(\zeta_{106})\) $D_{53}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{106}^{9}q^{2}+(\zeta_{106}^{4}-\zeta_{106}^{37})q^{3}+\zeta_{106}^{18}q^{4}+\cdots\)
889.1.ce.a 889.ce 889.be $36$ $0.444$ \(\Q(\zeta_{63})\) $D_{63}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(\zeta_{126}^{14}+\zeta_{126}^{58})q^{2}+(-\zeta_{126}^{9}+\zeta_{126}^{28}+\cdots)q^{4}+\cdots\)
916.1.t.a 916.t 916.t $36$ $0.457$ \(\Q(\zeta_{57})\) $D_{57}$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(-1\) \(0\) \(q+\zeta_{114}^{24}q^{2}+\zeta_{114}^{48}q^{4}+(-\zeta_{114}^{13}+\cdots)q^{5}+\cdots\)
921.1.s.a 921.s 921.s $32$ $0.460$ \(\Q(\zeta_{51})\) $D_{51}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(-15\) \(q-\zeta_{102}^{9}q^{3}-\zeta_{102}^{15}q^{4}+(-\zeta_{102}^{5}+\cdots)q^{7}+\cdots\)
968.1.z.a 968.z 968.z $40$ $0.483$ \(\Q(\zeta_{55})\) $D_{55}$ \(\Q(\sqrt{-2}) \) None \(1\) \(2\) \(0\) \(0\) \(q-\zeta_{110}^{49}q^{2}+(-\zeta_{110}^{21}-\zeta_{110}^{23}+\cdots)q^{3}+\cdots\)
993.1.ba.a 993.ba 993.aa $40$ $0.496$ \(\Q(\zeta_{55})\) $D_{55}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-3\) \(q+\zeta_{110}^{24}q^{3}-\zeta_{110}^{33}q^{4}+(\zeta_{110}^{10}+\cdots)q^{7}+\cdots\)
1048.1.be.a 1048.be 1048.ae $48$ $0.523$ \(\Q(\zeta_{65})\) $D_{65}$ \(\Q(\sqrt{-2}) \) None \(1\) \(2\) \(0\) \(0\) \(q+\zeta_{130}^{18}q^{2}+(\zeta_{130}^{16}-\zeta_{130}^{41})q^{3}+\cdots\)
1057.1.ch.a 1057.ch 1057.bh $40$ $0.528$ \(\Q(\zeta_{75})\) $D_{75}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{150}^{31}-\zeta_{150}^{39})q^{2}+(-\zeta_{150}^{3}+\cdots)q^{4}+\cdots\)
1076.1.j.a 1076.j 1076.j $66$ $0.537$ \(\Q(\zeta_{134})\) $D_{67}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q-\zeta_{134}^{55}q^{2}-\zeta_{134}^{43}q^{4}+(\zeta_{134}^{4}-\zeta_{134}^{29}+\cdots)q^{5}+\cdots\)
1083.1.r.a 1083.r 1083.r $36$ $0.540$ \(\Q(\zeta_{57})\) $D_{57}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q-\zeta_{114}^{13}q^{3}-\zeta_{114}^{17}q^{4}+(\zeta_{114}^{10}+\cdots)q^{7}+\cdots\)
1101.1.l.a 1101.l 1101.l $60$ $0.549$ \(\Q(\zeta_{122})\) $D_{61}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{122}^{16}q^{3}+\zeta_{122}^{40}q^{4}+(\zeta_{122}^{4}+\zeta_{122}^{6}+\cdots)q^{7}+\cdots\)
1108.1.u.a 1108.u 1108.u $44$ $0.553$ \(\Q(\zeta_{69})\) $D_{69}$ \(\Q(\sqrt{-1}) \) None \(-2\) \(0\) \(2\) \(0\) \(q+\zeta_{138}^{12}q^{2}+\zeta_{138}^{24}q^{4}+(-\zeta_{138}^{19}+\cdots)q^{5}+\cdots\)
1112.1.bd.a 1112.bd 1112.ad $44$ $0.555$ \(\Q(\zeta_{69})\) $D_{69}$ \(\Q(\sqrt{-2}) \) None \(1\) \(2\) \(0\) \(0\) \(q-\zeta_{138}^{31}q^{2}+(-\zeta_{138}^{59}+\zeta_{138}^{68}+\cdots)q^{3}+\cdots\)
1133.1.w.a 1133.w 1133.w $32$ $0.565$ \(\Q(\zeta_{51})\) $D_{51}$ \(\Q(\sqrt{-11}) \) None \(0\) \(2\) \(2\) \(0\) \(q+(\zeta_{102}^{10}+\zeta_{102}^{32})q^{3}+\zeta_{102}^{50}q^{4}+\cdots\)
1137.1.ba.a 1137.ba 1137.aa $36$ $0.567$ \(\Q(\zeta_{63})\) $D_{63}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{126}^{4}q^{3}+\zeta_{126}^{58}q^{4}+(-\zeta_{126}^{19}+\cdots)q^{7}+\cdots\)
1141.1.bz.a 1141.bz 1141.az $54$ $0.569$ \(\Q(\zeta_{162})\) $D_{81}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(0\) \(q+(-\zeta_{162}^{75}+\zeta_{162}^{76})q^{2}+(-\zeta_{162}^{69}+\cdots)q^{4}+\cdots\)
1172.1.i.a 1172.i 1172.i $72$ $0.585$ \(\Q(\zeta_{146})\) $D_{73}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q+\zeta_{146}^{56}q^{2}-\zeta_{146}^{39}q^{4}+(\zeta_{146}^{10}+\cdots)q^{5}+\cdots\)
1236.1.bb.a 1236.bb 309.n $32$ $0.617$ \(\Q(\zeta_{51})\) $D_{51}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(-1\) \(q-\zeta_{102}^{3}q^{3}+(\zeta_{102}^{36}-\zeta_{102}^{47})q^{7}+\cdots\)
1253.1.j.a 1253.j 1253.j $88$ $0.625$ \(\Q(\zeta_{178})\) $D_{89}$ \(\Q(\sqrt{-7}) \) None \(-2\) \(0\) \(0\) \(-1\) \(q+(-\zeta_{178}^{13}+\zeta_{178}^{44})q^{2}+(\zeta_{178}^{26}+\cdots)q^{4}+\cdots\)
1268.1.i.a 1268.i 1268.i $78$ $0.633$ \(\Q(\zeta_{158})\) $D_{79}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q+\zeta_{158}^{64}q^{2}-\zeta_{158}^{49}q^{4}+(\zeta_{158}^{18}+\cdots)q^{5}+\cdots\)
1304.1.bh.a 1304.bh 1304.ah $54$ $0.651$ \(\Q(\zeta_{162})\) $D_{81}$ \(\Q(\sqrt{-2}) \) None \(0\) \(0\) \(0\) \(0\) \(q-\zeta_{162}^{77}q^{2}+(\zeta_{162}^{30}-\zeta_{162}^{53})q^{3}+\cdots\)
1317.1.l.a 1317.l 1317.l $72$ $0.657$ \(\Q(\zeta_{146})\) $D_{73}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q-\zeta_{146}^{61}q^{3}-\zeta_{146}^{17}q^{4}+(-\zeta_{146}^{9}+\cdots)q^{7}+\cdots\)
1337.1.z.a 1337.z 1337.z $72$ $0.667$ \(\Q(\zeta_{95})\) $D_{95}$ \(\Q(\sqrt{-7}) \) None \(2\) \(0\) \(0\) \(-18\) \(q+(\zeta_{190}^{22}-\zeta_{190}^{91})q^{2}+(\zeta_{190}^{18}+\zeta_{190}^{44}+\cdots)q^{4}+\cdots\)
1389.1.z.a 1389.z 1389.z $60$ $0.693$ \(\Q(\zeta_{77})\) $D_{77}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(2\) \(q+\zeta_{154}^{64}q^{3}+\zeta_{154}^{40}q^{4}+(-\zeta_{154}^{9}+\cdots)q^{7}+\cdots\)
1396.1.t.a 1396.t 1396.t $56$ $0.697$ \(\Q(\zeta_{87})\) $D_{87}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(2\) \(0\) \(q-\zeta_{174}^{43}q^{2}+\zeta_{174}^{86}q^{4}+(\zeta_{174}^{50}+\cdots)q^{5}+\cdots\)
1432.1.l.a 1432.l 1432.l $88$ $0.715$ \(\Q(\zeta_{178})\) $D_{89}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(-2\) \(0\) \(0\) \(q-\zeta_{178}^{27}q^{2}+(\zeta_{178}^{60}+\zeta_{178}^{76})q^{3}+\cdots\)
1461.1.t.a 1461.t 1461.t $54$ $0.729$ \(\Q(\zeta_{162})\) $D_{81}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{162}^{32}q^{3}+\zeta_{162}^{4}q^{4}+(\zeta_{162}^{26}+\zeta_{162}^{76}+\cdots)q^{7}+\cdots\)
1477.1.ct.a 1477.ct 1477.bt $48$ $0.737$ \(\Q(\zeta_{210})\) $D_{105}$ \(\Q(\sqrt{-7}) \) None \(5\) \(0\) \(0\) \(-1\) \(q+(-\zeta_{210}^{7}+\zeta_{210}^{94})q^{2}+(\zeta_{210}^{14}-\zeta_{210}^{83}+\cdots)q^{4}+\cdots\)
1492.1.u.a 1492.u 1492.u $60$ $0.745$ \(\Q(\zeta_{93})\) $D_{93}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(2\) \(0\) \(q+\zeta_{186}^{92}q^{2}-\zeta_{186}^{91}q^{4}+(\zeta_{186}^{14}+\cdots)q^{5}+\cdots\)
1497.1.l.a 1497.l 1497.l $82$ $0.747$ \(\Q(\zeta_{166})\) $D_{83}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-1\) \(0\) \(-2\) \(q+\zeta_{166}^{8}q^{3}+\zeta_{166}^{10}q^{4}+(-\zeta_{166}^{61}+\cdots)q^{7}+\cdots\)
1524.1.bp.a 1524.bp 381.w $36$ $0.761$ \(\Q(\zeta_{63})\) $D_{63}$ \(\Q(\sqrt{-3}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{126}^{32}q^{3}+(-\zeta_{126}^{17}-\zeta_{126}^{35}+\cdots)q^{7}+\cdots\)
1556.1.j.a 1556.j 1556.j $96$ $0.777$ \(\Q(\zeta_{194})\) $D_{97}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(-2\) \(0\) \(q+\zeta_{194}^{76}q^{2}-\zeta_{194}^{55}q^{4}+(\zeta_{194}^{16}+\cdots)q^{5}+\cdots\)
1569.1.s.a 1569.s 1569.s $56$ $0.783$ \(\Q(\zeta_{87})\) $D_{87}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-2\) \(0\) \(-1\) \(q-\zeta_{174}^{45}q^{3}+\zeta_{174}^{46}q^{4}+(-\zeta_{174}^{65}+\cdots)q^{7}+\cdots\)
1588.1.bg.a 1588.bg 1588.ag $60$ $0.793$ \(\Q(\zeta_{99})\) $D_{99}$ \(\Q(\sqrt{-1}) \) None \(-6\) \(0\) \(3\) \(0\) \(q+\zeta_{198}^{90}q^{2}-\zeta_{198}^{81}q^{4}+(-\zeta_{198}^{47}+\cdots)q^{5}+\cdots\)
1605.1.p.a 1605.p 1605.p $52$ $0.801$ \(\Q(\zeta_{106})\) $D_{53}$ \(\Q(\sqrt{-15}) \) None \(-2\) \(-1\) \(-1\) \(0\) \(q+(-\zeta_{106}^{21}-\zeta_{106}^{31})q^{2}+\zeta_{106}^{18}q^{3}+\cdots\)
1605.1.p.b 1605.p 1605.p $52$ $0.801$ \(\Q(\zeta_{106})\) $D_{53}$ \(\Q(\sqrt{-15}) \) None \(2\) \(1\) \(1\) \(0\) \(q+(\zeta_{106}^{21}+\zeta_{106}^{31})q^{2}-\zeta_{106}^{18}q^{3}+\cdots\)
1631.1.v.a 1631.v 1631.v $56$ $0.814$ \(\Q(\zeta_{116})\) $D_{116}$ \(\Q(\sqrt{-7}) \) None \(4\) \(0\) \(0\) \(0\) \(q+(-\zeta_{116}^{4}-\zeta_{116}^{44})q^{2}+(\zeta_{116}^{8}-\zeta_{116}^{30}+\cdots)q^{4}+\cdots\)
1636.1.x.a 1636.x 1636.x $32$ $0.816$ \(\Q(\zeta_{51})\) $D_{102}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(-2\) \(0\) \(q-\zeta_{102}^{25}q^{2}+\zeta_{102}^{50}q^{4}+(-\zeta_{102}^{44}+\cdots)q^{5}+\cdots\)
1636.1.y.a 1636.y 1636.y $32$ $0.816$ \(\Q(\zeta_{51})\) $D_{51}$ \(\Q(\sqrt{-1}) \) None \(1\) \(0\) \(2\) \(0\) \(q-\zeta_{102}^{5}q^{2}+\zeta_{102}^{10}q^{4}+(-\zeta_{102}^{19}+\cdots)q^{5}+\cdots\)
1641.1.ba.a 1641.ba 1641.aa $72$ $0.819$ \(\Q(\zeta_{91})\) $D_{91}$ \(\Q(\sqrt{-3}) \) None \(0\) \(-12\) \(0\) \(-5\) \(q+\zeta_{182}^{78}q^{3}+\zeta_{182}^{8}q^{4}+(\zeta_{182}^{28}+\zeta_{182}^{68}+\cdots)q^{7}+\cdots\)
1668.1.bb.a 1668.bb 417.n $44$ $0.832$ \(\Q(\zeta_{69})\) $D_{69}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-1\) \(q-\zeta_{138}^{53}q^{3}+(-\zeta_{138}^{31}+\zeta_{138}^{36}+\cdots)q^{7}+\cdots\)
1673.1.z.a 1673.z 1673.z $96$ $0.835$ \(\Q(\zeta_{119})\) $D_{119}$ \(\Q(\sqrt{-7}) \) None \(-5\) \(0\) \(0\) \(1\) \(q+(-\zeta_{238}+\zeta_{238}^{112})q^{2}+(\zeta_{238}^{2}-\zeta_{238}^{105}+\cdots)q^{4}+\cdots\)
1684.1.bs.a 1684.bs 1684.as $48$ $0.840$ \(\Q(\zeta_{210})\) $D_{105}$ \(\Q(\sqrt{-1}) \) None \(-1\) \(0\) \(1\) \(0\) \(q-\zeta_{210}^{103}q^{2}-\zeta_{210}^{101}q^{4}+(-\zeta_{210}^{61}+\cdots)q^{5}+\cdots\)
1688.1.cg.a 1688.cg 1688.bg $48$ $0.842$ \(\Q(\zeta_{210})\) $D_{105}$ \(\Q(\sqrt{-2}) \) None \(-1\) \(3\) \(0\) \(0\) \(q-\zeta_{210}^{67}q^{2}+(-\zeta_{210}^{37}-\zeta_{210}^{55}+\cdots)q^{3}+\cdots\)
1713.1.ba.a 1713.ba 1713.aa $72$ $0.855$ \(\Q(\zeta_{95})\) $D_{95}$ \(\Q(\sqrt{-3}) \) None \(0\) \(1\) \(0\) \(-3\) \(q+\zeta_{190}^{66}q^{3}-\zeta_{190}^{25}q^{4}+(\zeta_{190}^{2}+\zeta_{190}^{90}+\cdots)q^{7}+\cdots\)
1732.1.bh.a 1732.bh 1732.ah $36$ $0.864$ \(\Q(\zeta_{108})\) $D_{108}$ \(\Q(\sqrt{-1}) \) None \(0\) \(0\) \(0\) \(0\) \(q+\zeta_{108}^{21}q^{2}+\zeta_{108}^{42}q^{4}+(\zeta_{108}^{12}+\cdots)q^{5}+\cdots\)
1771.1.by.a 1771.by 1771.ay $40$ $0.884$ \(\Q(\zeta_{55})\) $D_{110}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(-1\) \(q+(\zeta_{110}^{3}+\zeta_{110}^{54})q^{2}+(-\zeta_{110}^{2}+\zeta_{110}^{6}+\cdots)q^{4}+\cdots\)
1771.1.by.b 1771.by 1771.ay $40$ $0.884$ \(\Q(\zeta_{55})\) $D_{110}$ \(\Q(\sqrt{-7}) \) None \(0\) \(0\) \(0\) \(1\) \(q+(\zeta_{110}^{14}+\zeta_{110}^{43})q^{2}+(-\zeta_{110}^{2}+\zeta_{110}^{28}+\cdots)q^{4}+\cdots\)
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