Cremona's table of elliptic curves

54600 = 2³ · 3 · 5² · 7 · 13

Class	r	Atkin-Lehner	Eigenvalues
54600a (4 curves)	1	2+ 3+ 5+ 7+ 13+	2+ 3+ 5+ 7+  0 13+  2  4
Curve Equation t Generators 54600a1 [0,-1,0,-6508,169012] 2 [-38:600:1] 54600a2 [0,-1,0,-31008,-1937988] 4 [-87:306:1] 54600a3 [0,-1,0,31992,-8867988] 2 [1313:47906:1] 54600a4 [0,-1,0,-486008,-130247988] 2 [11226:353175:8]
54600b (4 curves)	1	2+ 3+ 5+ 7+ 13+	2+ 3+ 5+ 7+  0 13+ -2  4
Curve Equation t Generators 54600b1 [0,-1,0,-22919783,42177460812] 2 [-5069:167587:1] 54600b2 [0,-1,0,-30300908,12712009812] 4 [-3704871886:-115363908128:704969] 54600b3 [0,-1,0,118536592,100526134812] 2 [-943860676269629:-24387883555618683592:77477671525591] 54600b4 [0,-1,0,-297236408,-1961009077188] 2 [-693593031545190944552:-5709209136870569880571:67196755713668608]
54600c (2 curves)	1	2+ 3+ 5+ 7+ 13+	2+ 3+ 5+ 7+ -2 13+ -6  6
Curve Equation t Generators 54600c1 [0,-1,0,-7008,-209988] 2 [-43:100:1] 54600c2 [0,-1,0,5992,-911988] 2 [477:10500:1]
54600d (6 curves)	1	2+ 3+ 5+ 7+ 13+	2+ 3+ 5+ 7+ -4 13+ -2 -4
Curve Equation t Generators 54600d1 [0,-1,0,-5983,173212] 2 [-29:567:1] 54600d2 [0,-1,0,-16108,-555788] 4 [-83:450:1] 54600d3 [0,-1,0,42392,-3714788] 2 [177:3050:1] 54600d4 [0,-1,0,-236608,-44214788] 4 [-279:58:1] 54600d5 [0,-1,0,-215608,-52404788] 2 [3921:243658:1] 54600d6 [0,-1,0,-3785608,-2833728788] 2 [33066:1826275:8]
54600e (4 curves)	0	2+ 3+ 5+ 7+ 13-	2+ 3+ 5+ 7+  4 13- -6  4
Curve Equation t 54600e1 [0,-1,0,-1003308,-386477388] 2 54600e2 [0,-1,0,-1003808,-386072388] 4 54600e3 [0,-1,0,-660808,-654298388] 2 54600e4 [0,-1,0,-1354808,-91934388] 2
54600f (4 curves)	0	2+ 3+ 5+ 7- 13+	2+ 3+ 5+ 7-  0 13+  6  4
Curve Equation t 54600f1 [0,-1,0,-3317783,2327161812] 2 54600f2 [0,-1,0,-3318908,2325505812] 4 54600f3 [0,-1,0,-2381408,3666130812] 2 54600f4 [0,-1,0,-4274408,878878812] 2
54600g (6 curves)	0	2+ 3+ 5+ 7- 13+	2+ 3+ 5+ 7- -4 13+ -2  4
Curve Equation t 54600g1 [0,-1,0,1617,429012] 2 54600g2 [0,-1,0,-76508,7929012] 4 54600g3 [0,-1,0,-189008,-20645988] 4 54600g4 [0,-1,0,-1214008,515254012] 2 54600g5 [0,-1,0,545992,-142655988] 2 54600g6 [0,-1,0,-2724008,-1729235988] 2
54600h (2 curves)	0	2+ 3+ 5+ 7- 13+	2+ 3+ 5+ 7-  6 13+  0  4
Curve Equation t 54600h1 [0,-1,0,-43408,-3465188] 2 54600h2 [0,-1,0,-36408,-4627188] 2
54600i (2 curves)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7- -2 13-  2  0
Curve Equation t Generators 54600i1 [0,-1,0,12917,-445088] 2 [123:1729:1] 54600i2 [0,-1,0,-66708,-3948588] 2 [298:1596:1]
54600j (2 curves)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7- -2 13-  2  6
Curve Equation t Generators 54600j1 [0,-1,0,-21008,-1157988] 2 [4602:312000:1] 54600j2 [0,-1,0,-8008,-2587988] 2 [87944:530775:512]
54600k (1 curve)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7- -2 13-  4 -5
Curve Equation t Generators 54600k1 [0,-1,0,-7768,-309428] 1 [333:5824:1]
54600l (4 curves)	1	2+ 3+ 5+ 7- 13-	2+ 3+ 5+ 7-  4 13-  2  0
Curve Equation t Generators 54600l1 [0,-1,0,-159783,10198812] 2 [-364:4472:1] 54600l2 [0,-1,0,-2112908,1182073812] 4 [-1418:36400:1] 54600l3 [0,-1,0,-1675408,1685198812] 2 [697:29250:1] 54600l4 [0,-1,0,-33800408,75647698812] 4 [214852:-689:64]
54600m (1 curve)	2	2+ 3+ 5- 7+ 13+	2+ 3+ 5- 7+ -3 13+ -4  0
Curve Equation t Generators 54600m1 [0,-1,0,-3708,89037] 1 [-58:325:1]&[42:-75:1]
54600n (2 curves)	0	2+ 3+ 5- 7+ 13+	2+ 3+ 5- 7+  6 13+ -4  6
Curve Equation t 54600n1 [0,-1,0,-16448,-802308] 2 54600n2 [0,-1,0,-26248,275692] 2
54600o (1 curve)	1	2+ 3+ 5- 7+ 13-	2+ 3+ 5- 7+ -6 13- -1 -6
Curve Equation t Generators 54600o1 [0,-1,0,-2808,58812] 1 [26:-52:1]
54600p (2 curves)	1	2+ 3+ 5- 7- 13+	2+ 3+ 5- 7-  2 13+  0  6
Curve Equation t Generators 54600p1 [0,-1,0,-1624208,-326655588] 2 [-283:10500:1] 54600p2 [0,-1,0,-13629208,19145454412] 2 [2461:22428:1]
54600q (2 curves)	1	2+ 3+ 5- 7- 13+	2+ 3+ 5- 7- -4 13+  6  2
Curve Equation t Generators 54600q1 [0,-1,0,-2667068,1677368532] 2 [893:2646:1] 54600q2 [0,-1,0,-2632768,1722575932] 2 [1033:10206:1]
54600r (2 curves)	0	2+ 3+ 5- 7- 13-	2+ 3+ 5- 7- -6 13-  6  4
Curve Equation t 54600r1 [0,-1,0,112,-228] 2 54600r2 [0,-1,0,-488,-1428] 2
54600s (2 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+  2 13+  2 -6
Curve Equation t 54600s1 [0,1,0,-491408,-62583312] 2 54600s2 [0,1,0,1705592,-466831312] 2
54600t (6 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+ -4 13+ -2  4
Curve Equation t 54600t1 [0,1,0,-18383,1247238] 2 54600t2 [0,1,0,-318508,69075488] 4 54600t3 [0,1,0,-343008,57805488] 4 54600t4 [0,1,0,-5096008,4426155488] 2 54600t5 [0,1,0,839992,370117488] 2 54600t6 [0,1,0,-1918008,-975394512] 2
54600u (6 curves)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+ -4 13+  6  4
Curve Equation t 54600u1 [0,1,0,18017,-3782962] 2 54600u2 [0,1,0,-282108,-53603712] 4 54600u3 [0,1,0,-943608,290376288] 2 54600u4 [0,1,0,-4422608,-3581309712] 4 54600u5 [0,1,0,-4331608,-3735645712] 2 54600u6 [0,1,0,-70761608,-229133909712] 2
54600v (1 curve)	0	2+ 3- 5+ 7+ 13+	2+ 3- 5+ 7+  5 13+ -3  1
Curve Equation t 54600v1 [0,1,0,-8,13488] 1
54600w (4 curves)	1	2+ 3- 5+ 7- 13+	2+ 3- 5+ 7-  0 13+  6  0
Curve Equation t Generators 54600w1 [0,1,0,-6508,-116512] 2 [-564:2800:27] 54600w2 [0,1,0,-91008,-10594512] 4 [-1630797:-408500:9261] 54600w3 [0,1,0,-78008,-13714512] 2 [10843:1128750:1] 54600w4 [0,1,0,-1456008,-676714512] 2 [-513205870191:-197875196:736314327]
54600x (4 curves)	1	2+ 3- 5+ 7- 13+	2+ 3- 5+ 7-  0 13+  6 -4
Curve Equation t Generators 54600x1 [0,1,0,-183,-49362] 2 [5826:85400:27] 54600x2 [0,1,0,-21308,-1190112] 4 [259:3276:1] 54600x3 [0,1,0,-40808,1305888] 2 [-132:2100:1] 54600x4 [0,1,0,-339808,-76356112] 2 [959:21924:1]
54600y (1 curve)	1	2+ 3- 5+ 7- 13+	2+ 3- 5+ 7-  1 13+  0  0
Curve Equation t Generators 54600y1 [0,1,0,-7288,557993] 1 [-16:819:1]
54600z (1 curve)	1	2+ 3- 5+ 7- 13+	2+ 3- 5+ 7- -2 13+  0 -3
Curve Equation t Generators 54600z1 [0,1,0,104792,6511088] 1 [1639:67704:1]
54600ba (1 curve)	1	2+ 3- 5+ 7- 13+	2+ 3- 5+ 7- -6 13+  3  6
Curve Equation t Generators 54600ba1 [0,1,0,-1758968,-3373754592] 1 [1972:28812:1]
54600bb (4 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7-  4 13- -6 -4
Curve Equation t 54600bb1 [0,1,0,1092,-165312] 2 54600bb2 [0,1,0,-39408,-2919312] 4 54600bb3 [0,1,0,-102408,8672688] 2 54600bb4 [0,1,0,-624408,-190119312] 2
54600bc (4 curves)	0	2+ 3- 5+ 7- 13-	2+ 3- 5+ 7- -4 13-  6 -8
Curve Equation t 54600bc1 [0,1,0,1217,2438] 2 54600bc2 [0,1,0,-4908,14688] 4 54600bc3 [0,1,0,-50408,-4353312] 2 54600bc4 [0,1,0,-57408,5264688] 2
54600bd (2 curves)	1	2+ 3- 5- 7+ 13+	2+ 3- 5- 7+  0 13+  2  6
Curve Equation t Generators 54600bd1 [0,1,0,9417,467838] 2 [-3:663:1] 54600bd2 [0,1,0,-63708,4709088] 2 [372:5712:1]
54600be (2 curves)	1	2+ 3- 5- 7+ 13+	2+ 3- 5- 7+  0 13+  8  0
Curve Equation t Generators 54600be1 [0,1,0,-1888,30128] 2 [-17:240:1] 54600be2 [0,1,0,-4488,-73872] 2 [-771:4816:27]
54600bf (2 curves)	1	2+ 3- 5- 7+ 13+	2+ 3- 5- 7+ -6 13+ -4 -6
Curve Equation t Generators 54600bf1 [0,1,0,-137788,-19727872] 2 [-217:30:1] 54600bf2 [0,1,0,-120888,-24730272] 2 [828:-21060:1]
54600bg (2 curves)	0	2+ 3- 5- 7- 13+	2+ 3- 5- 7-  0 13+  0 -4
Curve Equation t 54600bg1 [0,1,0,-12208,-352912] 2 54600bg2 [0,1,0,-77208,7967088] 2
54600bh (2 curves)	0	2+ 3- 5- 7- 13+	2+ 3- 5- 7- -4 13+  0  0
Curve Equation t 54600bh1 [0,1,0,-4117888,-3217697872] 2 54600bh2 [0,1,0,-4120488,-3213433872] 2
54600bi (2 curves)	0	2+ 3- 5- 7- 13+	2+ 3- 5- 7- -4 13+  6 -6
Curve Equation t 54600bi1 [0,1,0,-3708,29088] 2 54600bi2 [0,1,0,13792,239088] 2
54600bj (2 curves)	1	2+ 3- 5- 7- 13-	2+ 3- 5- 7-  0 13-  6 -2
Curve Equation t Generators 54600bj1 [0,1,0,-43583,3566838] 2 [109:-351:1] 54600bj2 [0,1,0,-701708,226013088] 2 [-392:21000:1]
54600bk (1 curve)	1	2+ 3- 5- 7- 13-	2+ 3- 5- 7- -2 13-  3  6
Curve Equation t Generators 54600bk1 [0,1,0,6792,-2994912] 1 [708:-18900:1]
54600bl (1 curve)	0	2- 3+ 5+ 7+ 13+	2- 3+ 5+ 7+ -2 13+ -3  6
Curve Equation t 54600bl1 [0,-1,0,272,-24068] 1
54600bm (1 curve)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+ -2 13-  0  7
Curve Equation t Generators 54600bm1 [0,-1,0,567,6237] 1 [-9:18:1]
54600bn (2 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+ -2 13-  6 -8
Curve Equation t Generators 54600bn1 [0,-1,0,-258083,51890412] 2 [-263:10075:1] 54600bn2 [0,-1,0,-4159708,3266829412] 2 [1176:98:1]
54600bo (4 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+  4 13-  6  4
Curve Equation t Generators 54600bo1 [0,-1,0,-27508,1555012] 4 [-123:1750:1] 54600bo2 [0,-1,0,-112008,-12809988] 4 [8346:253575:8] 54600bo3 [0,-1,0,160992,-65771988] 2 [3420061337:-103567968750:4173281] 54600bo4 [0,-1,0,-1737008,-880559988] 2 [149385782:792047025:97336]
54600bp (4 curves)	1	2- 3+ 5+ 7+ 13-	2- 3+ 5+ 7+ -4 13-  2  0
Curve Equation t Generators 54600bp1 [0,-1,0,1217,-70688] 4 [57:425:1] 54600bp2 [0,-1,0,-19908,-1000188] 4 [-88:250:1] 54600bp3 [0,-1,0,-65408,5278812] 2 [278:2916:1] 54600bp4 [0,-1,0,-312408,-67105188] 2 [-322:16:1]
54600bq (2 curves)	1	2- 3+ 5- 7+ 13+	2- 3+ 5- 7+  0 13+ -6 -2
Curve Equation t Generators 54600bq1 [0,-1,0,-1743,29232] 2 [17:-65:1] 54600bq2 [0,-1,0,-28068,1819332] 2 [96:-18:1]
54600br (2 curves)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+  0 13-  0 -4
Curve Equation t 54600br1 [0,-1,0,-488,-2628] 2 54600br2 [0,-1,0,-3088,64972] 2
54600bs (1 curve)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+  1 13-  0  0
Curve Equation t 54600bs1 [0,-1,0,-182208,70113537] 1
54600bt (1 curve)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+ -2 13-  0 -3
Curve Equation t 54600bt1 [0,-1,0,4192,50412] 1
54600bu (2 curves)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+ -4 13-  0  0
Curve Equation t 54600bu1 [0,-1,0,-102947208,-402006339588] 2 54600bu2 [0,-1,0,-103012208,-401473209588] 2
54600bv (2 curves)	2	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+ -4 13- -6 -6
Curve Equation t Generators 54600bv1 [0,-1,0,-148,292] 2 [-12:14:1]&[-8:30:1] 54600bv2 [0,-1,0,552,1692] 2 [-2:24:1]&[6:72:1]
54600bw (1 curve)	0	2- 3+ 5- 7+ 13-	2- 3+ 5- 7+ -6 13- -3  6
Curve Equation t 54600bw1 [0,-1,0,-43974208,-421631375588] 1
54600bx (2 curves)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7-  0 13- -2  6
Curve Equation t Generators 54600bx1 [0,-1,0,377,3592] 2 [1:63:1] 54600bx2 [0,-1,0,-2548,38692] 2 [-32:294:1]
54600by (2 curves)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7-  0 13- -8  0
Curve Equation t Generators 54600by1 [0,-1,0,-47208,3860412] 2 [17:1750:1] 54600by2 [0,-1,0,-112208,-9009588] 2 [-87:294:1]
54600bz (2 curves)	1	2- 3+ 5- 7- 13-	2- 3+ 5- 7- -6 13-  4 -6
Curve Equation t Generators 54600bz1 [0,-1,0,-3444708,-2459094588] 2 [-1084:182:1] 54600bz2 [0,-1,0,-3022208,-3085239588] 2 [2166:22932:1]
54600ca (2 curves)	1	2- 3- 5+ 7+ 13+	2- 3- 5+ 7+  2 13+ -4  0
Curve Equation t Generators 54600ca1 [0,1,0,-4408,-109312] 2 [128:1200:1] 54600ca2 [0,1,0,2592,-417312] 2 [323:5850:1]
54600cb (4 curves)	1	2- 3- 5+ 7+ 13+	2- 3- 5+ 7+ -4 13+ -2  4
Curve Equation t Generators 54600cb1 [0,1,0,-11383,-471262] 2 [163:1425:1] 54600cb2 [0,1,0,-11508,-460512] 4 [-66:126:1] 54600cb3 [0,1,0,5992,-1720512] 2 [184:2376:1] 54600cb4 [0,1,0,-31008,1489488] 2 [584:13524:1]
54600cc (4 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  0 13-  2 -4
Curve Equation t 54600cc1 [0,1,0,70492,-1996512] 4 54600cc2 [0,1,0,-294008,-16576512] 4 54600cc3 [0,1,0,-2751008,1742635488] 2 54600cc4 [0,1,0,-3669008,-2703076512] 2
54600cd (4 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  0 13-  6  8
Curve Equation t 54600cd1 [0,1,0,-40369908,98713274688] 4 54600cd2 [0,1,0,-40370408,98710706688] 4 54600cd3 [0,1,0,-38173408,109932982688] 2 54600cd4 [0,1,0,-42575408,87324086688] 2
54600ce (4 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  4 13- -6  8
Curve Equation t 54600ce1 [0,1,0,243217,50260938] 4 54600ce2 [0,1,0,-1467908,484886688] 4 54600ce3 [0,1,0,-8780408,-9635613312] 2 54600ce4 [0,1,0,-21533408,38448812688] 2
54600cf (4 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+ -4 13- -2  4
Curve Equation t 54600cf1 [0,1,0,-2308,41888] 2 54600cf2 [0,1,0,-2808,21888] 4 54600cf3 [0,1,0,10192,177888] 2 54600cf4 [0,1,0,-23808,-1406112] 2
54600cg (1 curve)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+ -5 13- -3 -1
Curve Equation t 54600cg1 [0,1,0,-257808,-50750112] 1
54600ch (2 curves)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  6 13- -6 -8
Curve Equation t 54600ch1 [0,1,0,-5283,-149562] 2 54600ch2 [0,1,0,-4908,-171312] 2
54600ci (1 curve)	0	2- 3- 5+ 7+ 13-	2- 3- 5+ 7+  6 13-  8 -1
Curve Equation t 54600ci1 [0,1,0,-2771987433,56174156318763] 1
54600cj (1 curve)	0	2- 3- 5+ 7- 13+	2- 3- 5+ 7- -6 13+  1 -6
Curve Equation t 54600cj1 [0,1,0,-70208,7211088] 1
54600ck (4 curves)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7-  0 13- -2  0
Curve Equation t Generators 54600ck1 [0,1,0,-123908,854688] 4 [-338:2058:1] 54600ck2 [0,1,0,-1324408,-584989312] 4 [-688:1008:1] 54600ck3 [0,1,0,-687408,-1148097312] 2 [1587:41958:1] 54600ck4 [0,1,0,-21169408,-37496689312] 2 [14243:1597050:1]
54600cl (4 curves)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7-  0 13-  6  0
Curve Equation t Generators 54600cl1 [0,1,0,-266383,52829738] 2 [299:39:1] 54600cl2 [0,1,0,-269508,51523488] 4 [-402:9750:1] 54600cl3 [0,1,0,152992,198553488] 4 [-272:11700:1] 54600cl4 [0,1,0,-742008,-179056512] 2 [-528:8112:1]
54600cm (2 curves)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7-  2 13-  2  0
Curve Equation t Generators 54600cm1 [0,1,0,-5083,136838] 2 [-37:525:1] 54600cm2 [0,1,0,-1708,319088] 2 [14:-546:1]
54600cn (1 curve)	1	2- 3- 5+ 7- 13-	2- 3- 5+ 7- -3 13-  4  0
Curve Equation t Generators 54600cn1 [0,1,0,-148,653] 1 [14:39:1]
54600co (1 curve)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+ -2 13+ -4 -5
Curve Equation t 54600co1 [0,1,0,-194208,-39066912] 1
54600cp (2 curves)	0	2- 3- 5- 7+ 13+	2- 3- 5- 7+ -6 13+ -6  4
Curve Equation t 54600cp1 [0,1,0,2792,-22912] 2 54600cp2 [0,1,0,-12208,-202912] 2
54600cq (2 curves)	1	2- 3- 5- 7+ 13-	2- 3- 5- 7+  2 13-  0  6
Curve Equation t Generators 54600cq1 [0,1,0,-64968,-2639232] 2 [408:6240:1] 54600cq2 [0,1,0,-545168,152945568] 2 [307:3822:1]
54600cr (2 curves)	1	2- 3- 5- 7+ 13-	2- 3- 5- 7+ -4 13- -6  2
Curve Equation t Generators 54600cr1 [0,1,0,-66676708,209537713088] 2 [4022:80262:1] 54600cr2 [0,1,0,-65819208,215190353088] 2 [4272:109512:1]
54600cs (2 curves)	0	2- 3- 5- 7- 13-	2- 3- 5- 7-  6 13-  4  6
Curve Equation t 54600cs1 [0,1,0,-411208,-101110912] 2 54600cs2 [0,1,0,-656208,33149088] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations