Cremona's table of elliptic curves

60840 = 2³ · 3² · 5 · 13²

Class	r	Atkin-Lehner	Eigenvalues
60840a (1 curve)	1	2+ 3+ 5+ 13+	2+ 3+ 5+ -3  5 13+  3  8
Curve Equation t Generators 60840a1 [0,0,0,-2028,79092] 1 [-26:338:1]
60840b (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5-  0  0 13+  6  8
Curve Equation t 60840b1 [0,0,0,-41067,9135126] 2 60840b2 [0,0,0,-953667,357930846] 2
60840c (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5- -2 -2 13+ -2 -4
Curve Equation t 60840c1 [0,0,0,-507,-39546] 2 60840c2 [0,0,0,-20787,-1146834] 2
60840d (2 curves)	0	2+ 3+ 5- 13+	2+ 3+ 5- -2  4 13+ -8  2
Curve Equation t 60840d1 [0,0,0,-51207,-257484006] 2 60840d2 [0,0,0,-6388707,-6139951506] 2
60840e (1 curve)	0	2+ 3+ 5- 13+	2+ 3+ 5-  3  3 13+  3 -4
Curve Equation t 60840e1 [0,0,0,2537028,-40381765164] 1
60840f (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  0 13+ -2  0
Curve Equation t 60840f1 [0,0,0,-7416903,-7774668902] 2 60840f2 [0,0,0,-7447323,-7707677978] 4 60840f3 [0,0,0,-329043,-21828921842] 2 60840f4 [0,0,0,-15052323,10700985022] 2
60840g (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0  4 13+  2  4
Curve Equation t 60840g1 [0,0,0,127257,-12333958] 2 60840g2 [0,0,0,-633243,-109221658] 4 60840g3 [0,0,0,-4587843,3705385502] 2 60840g4 [0,0,0,-8846643,-10124641618] 2
60840h (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  0 -4 13+  6 -4
Curve Equation t 60840h1 [0,0,0,-34983,-2491398] 2 60840h2 [0,0,0,-65403,2491398] 4 60840h3 [0,0,0,238797,19100718] 2 60840h4 [0,0,0,-856323,304781022] 2
60840i (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  1  1 13+  0  1
Curve Equation t 60840i1 [0,0,0,-1443,79742] 1
60840j (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  1 -5 13+ -3  6
Curve Equation t 60840j1 [0,0,0,14782092,-14395262492] 1
60840k (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -2  1 13+ -6  6
Curve Equation t 60840k1 [0,0,0,-1443,33982] 1
60840l (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+  3  1 13+ -1  1
Curve Equation t 60840l1 [0,0,0,-3783,-89557] 1
60840m (1 curve)	2	2+ 3- 5+ 13+	2+ 3- 5+ -3 -2 13+  4 -4
Curve Equation t Generators 60840m1 [0,0,0,-2028,457652] 1 [676:17550:1]&[26:-650:1]
60840n (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -3  5 13+ -3  5
Curve Equation t 60840n1 [0,0,0,-9243,-339417] 1
60840o (1 curve)	0	2+ 3- 5+ 13+	2+ 3- 5+ -3 -5 13+  2 -5
Curve Equation t 60840o1 [0,0,0,-85683,49753262] 1
60840p (1 curve)	2	2+ 3- 5+ 13+	2+ 3- 5+ -3 -5 13+ -5 -1
Curve Equation t Generators 60840p1 [0,0,0,-85683,-9625057] 1 [-169:169:1]&[-166:155:1]
60840q (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+  4  4 13+  6  0
Curve Equation t 60840q1 [0,0,0,-169338,-26757263] 2 60840q2 [0,0,0,-237783,-3088982] 4 60840q3 [0,0,0,948597,-24681098] 2 60840q4 [0,0,0,-2519283,1533273118] 2
60840r (4 curves)	0	2+ 3- 5+ 13+	2+ 3- 5+ -4  0 13+  2 -4
Curve Equation t 60840r1 [0,0,0,5577,74698] 2 60840r2 [0,0,0,-24843,628342] 4 60840r3 [0,0,0,-207363,-35912162] 2 60840r4 [0,0,0,-329043,72602062] 2
60840s (2 curves)	1	2+ 3- 5+ 13-	2+ 3- 5+  2  4 13-  2 -6
Curve Equation t Generators 60840s1 [0,0,0,-88569858,-285543252943] 2 [-90918608866:-3068910822375:16387064] 60840s2 [0,0,0,127647897,-1462157032102] 2 [71672621229543130144238:-10923973089907998284859375:3499056195266000312]
60840t (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  1 -2 13+ -6 -8
Curve Equation t Generators 60840t1 [0,0,0,-38532,2911844] 1 [118:-90:1]
60840u (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  2  0 13+  4 -6
Curve Equation t Generators 60840u1 [0,0,0,-507,-2851706] 2 [12610:500409:8] 60840u2 [0,0,0,-304707,-63752546] 2 [4441710:166556767:2744]
60840v (2 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -2  4 13+  0 -2
Curve Equation t Generators 60840v1 [0,0,0,1094613,466251734] 2 [-257:12960:1] 60840v2 [0,0,0,-6510387,4480170734] 2 [12418:1355940:1]
60840w (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5-  3 -3 13+  1  6
Curve Equation t Generators 60840w1 [0,0,0,-160212,-37849916] 1 [2678:136890:1]
60840x (1 curve)	1	2+ 3- 5- 13+	2+ 3- 5- -3  3 13+  3 -5
Curve Equation t Generators 60840x1 [0,0,0,-507,-169] 1 [-13:65:1]
60840y (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5-  4  4 13+ -2 -4
Curve Equation t Generators 60840y1 [0,0,0,-3042,-59319] 2 [62335:796328:343] 60840y2 [0,0,0,-10647,355914] 4 [30:252:1] 60840y3 [0,0,0,19773,2016846] 2 [-65:676:1] 60840y4 [0,0,0,-162747,25269894] 2 [48100:1158157:64]
60840z (4 curves)	1	2+ 3- 5- 13+	2+ 3- 5- -4  0 13+ -2  0
Curve Equation t Generators 60840z1 [0,0,0,-3491202,2116794121] 2 [-208:53235:1] 60840z2 [0,0,0,-53387607,150139469194] 4 [3470:81648:1] 60840z3 [0,0,0,-50923587,164624457166] 2 [-273:422500:1] 60840z4 [0,0,0,-854194107,9609105685894] 2 [14378:547560:1]
60840ba (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  0  6 13-  2 -2
Curve Equation t 60840ba1 [0,0,0,-243867,-36386714] 2 60840ba2 [0,0,0,547053,-223518386] 2
60840bb (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5-  2  0 13- -6  2
Curve Equation t 60840bb1 [0,0,0,-145002,19678529] 2 60840bb2 [0,0,0,151593,89852906] 2
60840bc (1 curve)	2	2+ 3- 5- 13-	2+ 3- 5- -3 -3 13- -1 -8
Curve Equation t Generators 60840bc1 [0,0,0,-15132,722644] 1 [-142:90:1]&[-52:-1170:1]
60840bd (2 curves)	0	2+ 3- 5- 13-	2+ 3- 5- -4  4 13-  8  0
Curve Equation t 60840bd1 [0,0,0,-4989387,9379603766] 2 60840bd2 [0,0,0,-103854387,407034406766] 2
60840be (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+  0  0 13+ -6  8
Curve Equation t 60840be1 [0,0,0,-4563,-338338] 2 60840be2 [0,0,0,-105963,-13256698] 2
60840bf (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -2  2 13+  2 -4
Curve Equation t 60840bf1 [0,0,0,-4563,1067742] 2 60840bf2 [0,0,0,-187083,30964518] 2
60840bg (2 curves)	0	2- 3+ 5+ 13+	2- 3+ 5+ -2 -4 13+  8  2
Curve Equation t 60840bg1 [0,0,0,-460863,6952068162] 2 60840bg2 [0,0,0,-57498363,165778690662] 2
60840bh (1 curve)	0	2- 3+ 5+ 13+	2- 3+ 5+  3 -3 13+ -3 -4
Curve Equation t 60840bh1 [0,0,0,281892,1495620932] 1
60840bi (1 curve)	1	2- 3+ 5- 13+	2- 3+ 5- -3 -5 13+ -3  8
Curve Equation t Generators 60840bi1 [0,0,0,-18252,-2135484] 1 [585:13689:1]
60840bj (4 curves)	1	2- 3- 5+ 13+	2- 3- 5+  0  0 13+  6 -4
Curve Equation t Generators 60840bj1 [0,0,0,256542,-3337243] 2 [481:15210:1] 60840bj2 [0,0,0,-1028703,-26728702] 4 [-998:2430:1] 60840bj3 [0,0,0,-10915203,13828212398] 2 [1027:60840:1] 60840bj4 [0,0,0,-11706123,-15378723178] 2 [-256570:-145566:125]
60840bk (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+ -1  2 13+ -6  8
Curve Equation t Generators 60840bk1 [0,0,0,-6511908,6397321268] 1 [1444:-2250:1]
60840bl (1 curve)	1	2- 3- 5+ 13+	2- 3- 5+  3 -3 13+  3  5
Curve Equation t Generators 60840bl1 [0,0,0,-85683,-371293] 1 [641:14425:1]
60840bm (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  0 -6 13-  2  2
Curve Equation t 60840bm1 [0,0,0,-1443,-16562] 2 60840bm2 [0,0,0,3237,-101738] 2
60840bn (2 curves)	2	2- 3- 5+ 13-	2- 3- 5+ -2  0 13- -6 -2
Curve Equation t Generators 60840bn1 [0,0,0,-858,8957] 2 [-26:117:1]&[-14:135:1] 60840bn2 [0,0,0,897,40898] 2 [-23:90:1]&[13:-234:1]
60840bo (1 curve)	0	2- 3- 5+ 13-	2- 3- 5+  3  3 13- -1  8
Curve Equation t 60840bo1 [0,0,0,-2557308,1587648868] 1
60840bp (2 curves)	0	2- 3- 5+ 13-	2- 3- 5+  4 -4 13-  8  0
Curve Equation t 60840bp1 [0,0,0,-29523,4269278] 2 60840bp2 [0,0,0,-614523,185268278] 2
60840bq (2 curves)	0	2- 3- 5- 13+	2- 3- 5-  0  2 13+ -2 -2
Curve Equation t 60840bq1 [0,0,0,-30927,2060786] 2 60840bq2 [0,0,0,-507,5936294] 2
60840br (6 curves)	0	2- 3- 5- 13+	2- 3- 5-  0 -4 13+ -2  4
Curve Equation t 60840br1 [0,0,0,-14138202,-22145775379] 2 60840br2 [0,0,0,-231344607,-1354359539806] 4 60840br3 [0,0,0,-236485587,-1291015468834] 4 60840br4 [0,0,0,-3701506107,-86679384534106] 2 60840br5 [0,0,0,257839413,-5978303983834] 2 60840br6 [0,0,0,-813066267,7450293588374] 2
60840bs (6 curves)	0	2- 3- 5- 13+	2- 3- 5-  0 -4 13+  6  4
Curve Equation t 60840bs1 [0,0,0,-23322,-1368731] 2 60840bs2 [0,0,0,-30927,-399854] 4 60840bs3 [0,0,0,121173,-3168074] 2 60840bs4 [0,0,0,-304707,64376494] 4 60840bs5 [0,0,0,-122187,140779366] 2 60840bs6 [0,0,0,-4867707,4133659894] 2
60840bt (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -1 -1 13+  0 -1
Curve Equation t 60840bt1 [0,0,0,-243867,175193174] 1
60840bu (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  2 -1 13+ -6 -6
Curve Equation t 60840bu1 [0,0,0,-243867,74658454] 1
60840bv (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3  2 13+  4  4
Curve Equation t 60840bv1 [0,0,0,-342732,1005461444] 1
60840bw (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3  5 13+  2  5
Curve Equation t 60840bw1 [0,0,0,-507,22646] 1
60840bx (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3  5 13+ -5  1
Curve Equation t 60840bx1 [0,0,0,-507,-4381] 1
60840by (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  3 -5 13+ -3 -5
Curve Equation t 60840by1 [0,0,0,-1562067,-745699149] 1
60840bz (1 curve)	0	2- 3- 5- 13+	2- 3- 5- -3 -1 13+ -1 -1
Curve Equation t 60840bz1 [0,0,0,-639327,-196756729] 1
60840ca (4 curves)	0	2- 3- 5- 13+	2- 3- 5- -4  4 13+ -6  0
Curve Equation t 60840ca1 [0,0,0,-30927,-7430254] 4 60840ca2 [0,0,0,-791427,-270411154] 4 60840ca3 [0,0,0,-1095627,-43417114] 2 60840ca4 [0,0,0,-12655227,-17328182794] 2
60840cb (1 curve)	0	2- 3- 5- 13+	2- 3- 5-  5  1 13+  3 -6
Curve Equation t 60840cb1 [0,0,0,-525252,146522324] 1
60840cc (2 curves)	1	2- 3- 5- 13-	2- 3- 5- -2 -4 13-  2  6
Curve Equation t Generators 60840cc1 [0,0,0,-524082,-129969619] 2 [-338:2925:1] 60840cc2 [0,0,0,755313,-665524366] 2 [673:12150:1]

Data from Elliptic Curve Data by J. E. Cremona.
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