Cremona's table of elliptic curves

6336 = 2⁶ · 3² · 11

Class	r	Atkin-Lehner	Eigenvalues
6336a (2 curves)	1	2+ 3+ 11+	2+ 3+  0  2 11+  2 -2  6
Curve Equation t Generators 6336a1 [0,0,0,-135,108] 2 [-8:26:1] 6336a2 [0,0,0,-1620,25056] 2 [-30:216:1]
6336b (4 curves)	1	2+ 3+ 11+	2+ 3+  0  2 11+ -2  6 -2
Curve Equation t Generators 6336b1 [0,0,0,-5580,159344] 2 [-82:256:1] 6336b2 [0,0,0,-9420,-87952] 2 [-88:244:1] 6336b3 [0,0,0,-37260,-2669328] 2 [-33096:56916:343] 6336b4 [0,0,0,-590220,-174529296] 2 [117153123:7194315051:29791]
6336c (2 curves)	1	2+ 3+ 11+	2+ 3+  0 -2 11+  2  2 -6
Curve Equation t Generators 6336c1 [0,0,0,-15,4] 2 [0:2:1] 6336c2 [0,0,0,-180,928] 2 [2:24:1]
6336d (2 curves)	1	2+ 3+ 11+	2+ 3+  0 -2 11+  6 -6  2
Curve Equation t Generators 6336d1 [0,0,0,-60,144] 2 [-2:16:1] 6336d2 [0,0,0,-300,-1872] 2 [-8:4:1]
6336e (2 curves)	1	2+ 3+ 11+	2+ 3+ -4 -2 11+  2 -2  6
Curve Equation t Generators 6336e1 [0,0,0,-972,2160] 2 [-24:108:1] 6336e2 [0,0,0,-9612,-360720] 2 [-56:44:1]
6336f (2 curves)	0	2+ 3+ 11-	2+ 3+  0  2 11-  2  2  6
Curve Equation t 6336f1 [0,0,0,-15,-4] 2 6336f2 [0,0,0,-180,-928] 2
6336g (4 curves)	0	2+ 3+ 11-	2+ 3+  0  2 11- -2 -6 -2
Curve Equation t 6336g1 [0,0,0,-4140,98864] 2 6336g2 [0,0,0,-65580,6464048] 2 6336g3 [0,0,0,-50220,-4302288] 2 6336g4 [0,0,0,-84780,2374704] 2
6336h (2 curves)	0	2+ 3+ 11-	2+ 3+  0 -2 11-  2 -2 -6
Curve Equation t 6336h1 [0,0,0,-135,-108] 2 6336h2 [0,0,0,-1620,-25056] 2
6336i (2 curves)	0	2+ 3+ 11-	2+ 3+  0 -2 11-  6  6  2
Curve Equation t 6336i1 [0,0,0,-540,-3888] 2 6336i2 [0,0,0,-2700,50544] 2
6336j (2 curves)	0	2+ 3+ 11-	2+ 3+  4 -2 11-  2  2  6
Curve Equation t 6336j1 [0,0,0,-108,-80] 2 6336j2 [0,0,0,-1068,13360] 2
6336k (4 curves)	0	2+ 3- 11+	2+ 3-  0  2 11+  4  6  4
Curve Equation t 6336k1 [0,0,0,-3180,-65104] 2 6336k2 [0,0,0,2580,-274768] 2 6336k3 [0,0,0,-46380,3829808] 2 6336k4 [0,0,0,-23340,7636016] 2
6336l (2 curves)	0	2+ 3- 11+	2+ 3-  0 -2 11+ -4  2  0
Curve Equation t 6336l1 [0,0,0,-3540,-81056] 2 6336l2 [0,0,0,-3180,-98192] 2
6336m (2 curves)	0	2+ 3- 11+	2+ 3-  2  2 11+ -6  4  2
Curve Equation t 6336m1 [0,0,0,-2784,-65720] 2 6336m2 [0,0,0,-46524,-3862352] 2
6336n (4 curves)	0	2+ 3- 11+	2+ 3-  2  4 11+  2 -2 -4
Curve Equation t 6336n1 [0,0,0,-46839,-3098068] 2 6336n2 [0,0,0,-705684,-228159520] 4 6336n3 [0,0,0,-11290764,-14602698160] 2 6336n4 [0,0,0,-662124,-257553808] 2
6336o (4 curves)	0	2+ 3- 11+	2+ 3-  2 -4 11+  6 -2 -4
Curve Equation t 6336o1 [0,0,0,-1164,-272] 2 6336o2 [0,0,0,-12684,548080] 4 6336o3 [0,0,0,-202764,35142640] 2 6336o4 [0,0,0,-6924,1048048] 2
6336p (4 curves)	0	2+ 3- 11+	2+ 3- -2  0 11+  6 -2  4
Curve Equation t 6336p1 [0,0,0,-1191,-15820] 2 6336p2 [0,0,0,-1236,-14560] 4 6336p3 [0,0,0,-5196,129584] 2 6336p4 [0,0,0,2004,-78064] 2
6336q (4 curves)	0	2+ 3- 11+	2+ 3- -2  4 11+ -6 -6  8
Curve Equation t 6336q1 [0,0,0,24,-1240] 2 6336q2 [0,0,0,-1596,-23920] 4 6336q3 [0,0,0,-25356,-1554064] 2 6336q4 [0,0,0,-3756,54704] 2
6336r (2 curves)	0	2+ 3- 11+	2+ 3- -3  2 11+  4 -6 -8
Curve Equation t 6336r1 [0,0,0,96,416] 1 6336r2 [0,0,0,-2784,56864] 1
6336s (1 curve)	0	2+ 3- 11+	2+ 3- -3 -2 11+  0  6 -4
Curve Equation t 6336s1 [0,0,0,-144,-864] 1
6336t (1 curve)	0	2+ 3- 11+	2+ 3- -3  4 11+  2  8  6
Curve Equation t 6336t1 [0,0,0,6,34] 1
6336u (2 curves)	0	2+ 3- 11+	2+ 3-  4 -2 11+  0  6 -4
Curve Equation t 6336u1 [0,0,0,-288588,59671280] 2 6336u2 [0,0,0,-287148,60296240] 2
6336v (2 curves)	2	2+ 3- 11+	2+ 3- -4 -2 11+ -4 -2 -4
Curve Equation t Generators 6336v1 [0,0,0,-372,2720] 2 [-14:72:1]&[-8:72:1] 6336v2 [0,0,0,-12,7760] 2 [-14:72:1]&[-11:81:1]
6336w (2 curves)	1	2+ 3- 11-	2+ 3-  0  2 11-  0  2 -8
Curve Equation t Generators 6336w1 [0,0,0,-300,-592] 2 [-8:36:1] 6336w2 [0,0,0,1140,-4624] 2 [37:297:1]
6336x (2 curves)	1	2+ 3- 11-	2+ 3-  0  2 11- -4  2  0
Curve Equation t Generators 6336x1 [0,0,0,-3540,81056] 2 [10:216:1] 6336x2 [0,0,0,-3180,98192] 2 [13:243:1]
6336y (3 curves)	1	2+ 3- 11-	2+ 3-  1 -2 11- -4  2  0
Curve Equation t Generators 6336y1 [0,0,0,-12,-38] 1 [27:139:1] 6336y2 [0,0,0,-372,5002] 1 [27:121:1] 6336y3 [0,0,0,-281532,57496282] 1 [38295:77:125]
6336z (4 curves)	1	2+ 3- 11-	2+ 3-  2  0 11- -2 -6  0
Curve Equation t Generators 6336z1 [0,0,0,-444,3472] 2 [-4:72:1] 6336z2 [0,0,0,-1164,-10640] 4 [-12:40:1] 6336z3 [0,0,0,-17004,-853328] 2 [3442:67635:8] 6336z4 [0,0,0,3156,-71120] 2 [53:495:1]
6336ba (2 curves)	1	2+ 3- 11-	2+ 3-  2 -2 11-  2 -4  6
Curve Equation t Generators 6336ba1 [0,0,0,96,200] 2 [2:20:1] 6336ba2 [0,0,0,-444,1712] 2 [-14:72:1]
6336bb (4 curves)	1	2+ 3- 11-	2+ 3-  2 -4 11-  2 -2  4
Curve Equation t Generators 6336bb1 [0,0,0,-46839,3098068] 2 [284:3564:1] 6336bb2 [0,0,0,-705684,228159520] 4 [438:1760:1] 6336bb3 [0,0,0,-11290764,14602698160] 2 [124260:7645:64] 6336bb4 [0,0,0,-662124,257553808] 2 [636:9680:1]
6336bc (4 curves)	1	2+ 3- 11-	2+ 3- -2  0 11-  6 -2 -4
Curve Equation t Generators 6336bc1 [0,0,0,-1191,15820] 2 [36:140:1] 6336bc2 [0,0,0,-1236,14560] 4 [-18:176:1] 6336bc3 [0,0,0,-5196,-129584] 2 [-36:104:1] 6336bc4 [0,0,0,2004,78064] 2 [5:297:1]
6336bd (4 curves)	1	2+ 3- 11-	2+ 3- -2  4 11-  2  2  0
Curve Equation t Generators 6336bd1 [0,0,0,-3756,87856] 2 [6:256:1] 6336bd2 [0,0,0,-6636,-65360] 4 [-12:112:1] 6336bd3 [0,0,0,-84396,-9427664] 2 [356:2376:1] 6336bd4 [0,0,0,25044,-508880] 2 [3156:177520:1]
6336be (1 curve)	1	2+ 3- 11-	2+ 3- -3 -4 11-  2  8 -6
Curve Equation t Generators 6336be1 [0,0,0,6,-34] 1 [5:11:1]
6336bf (2 curves)	1	2+ 3- 11-	2+ 3- -4  2 11- -4 -2  4
Curve Equation t Generators 6336bf1 [0,0,0,-372,-2720] 2 [-12:4:1] 6336bf2 [0,0,0,-12,-7760] 2 [38:216:1]
6336bg (4 curves)	1	2+ 3- 11-	2+ 3- -4 -2 11- -4  2  0
Curve Equation t Generators 6336bg1 [0,0,0,-25932,-1171600] 2 [-56:324:1] 6336bg2 [0,0,0,66228,-7622800] 2 [133:1881:1] 6336bg3 [0,0,0,-5797452,5372839280] 2 [1582:-12672:1] 6336bg4 [0,0,0,-5791692,5384048240] 2 [1213:11979:1]
6336bh (2 curves)	0	2- 3+ 11+	2- 3+  0  2 11+  6  6 -2
Curve Equation t 6336bh1 [0,0,0,-540,3888] 2 6336bh2 [0,0,0,-2700,-50544] 2
6336bi (4 curves)	0	2- 3+ 11+	2- 3+  0 -2 11+ -2 -6  2
Curve Equation t 6336bi1 [0,0,0,-4140,-98864] 2 6336bi2 [0,0,0,-65580,-6464048] 2 6336bi3 [0,0,0,-50220,4302288] 2 6336bi4 [0,0,0,-84780,-2374704] 2
6336bj (2 curves)	0	2- 3+ 11+	2- 3+  2  0 11+  0  2  6
Curve Equation t 6336bj1 [0,0,0,-47844,-4027968] 2 6336bj2 [0,0,0,-46764,-4218480] 2
6336bk (2 curves)	0	2- 3+ 11+	2- 3+  2  4 11+ -4  6  2
Curve Equation t 6336bk1 [0,0,0,-324,1728] 2 6336bk2 [0,0,0,756,10800] 2
6336bl (2 curves)	0	2- 3+ 11+	2- 3+ -2  0 11+  0 -2 -6
Curve Equation t 6336bl1 [0,0,0,-5316,-149184] 2 6336bl2 [0,0,0,-5196,-156240] 2
6336bm (2 curves)	2	2- 3+ 11+	2- 3+ -2 -4 11+ -4 -6 -2
Curve Equation t Generators 6336bm1 [0,0,0,-36,64] 2 [-6:8:1]&[-4:12:1] 6336bm2 [0,0,0,84,400] 2 [-3:11:1]&[2:24:1]
6336bn (2 curves)	0	2- 3+ 11+	2- 3+  4  2 11+  2  2 -6
Curve Equation t 6336bn1 [0,0,0,-108,80] 2 6336bn2 [0,0,0,-1068,-13360] 2
6336bo (2 curves)	1	2- 3+ 11-	2- 3+  0  2 11-  6 -6 -2
Curve Equation t Generators 6336bo1 [0,0,0,-60,-144] 2 [-3:3:1] 6336bo2 [0,0,0,-300,1872] 2 [18:48:1]
6336bp (4 curves)	1	2- 3+ 11-	2- 3+  0 -2 11- -2  6  2
Curve Equation t Generators 6336bp1 [0,0,0,-5580,-159344] 2 [-43:33:1] 6336bp2 [0,0,0,-9420,87952] 2 [114:704:1] 6336bp3 [0,0,0,-37260,2669328] 2 [21:1377:1] 6336bp4 [0,0,0,-590220,174529296] 2 [930:20736:1]
6336bq (2 curves)	1	2- 3+ 11-	2- 3+  2  0 11-  0  2 -6
Curve Equation t Generators 6336bq1 [0,0,0,-47844,4027968] 2 [124:44:1] 6336bq2 [0,0,0,-46764,4218480] 2 [45:1485:1]
6336br (2 curves)	1	2- 3+ 11-	2- 3+  2 -4 11- -4  6 -2
Curve Equation t Generators 6336br1 [0,0,0,-324,-1728] 2 [-14:8:1] 6336br2 [0,0,0,756,-10800] 2 [13:35:1]
6336bs (2 curves)	1	2- 3+ 11-	2- 3+ -2  0 11-  0 -2  6
Curve Equation t Generators 6336bs1 [0,0,0,-5316,149184] 2 [34:88:1] 6336bs2 [0,0,0,-5196,156240] 2 [37:121:1]
6336bt (2 curves)	1	2- 3+ 11-	2- 3+ -2  4 11- -4 -6  2
Curve Equation t Generators 6336bt1 [0,0,0,-36,-64] 2 [-4:4:1] 6336bt2 [0,0,0,84,-400] 2 [8:28:1]
6336bu (2 curves)	1	2- 3+ 11-	2- 3+ -4  2 11-  2 -2 -6
Curve Equation t Generators 6336bu1 [0,0,0,-972,-2160] 2 [-3:27:1] 6336bu2 [0,0,0,-9612,360720] 2 [82:352:1]
6336bv (2 curves)	1	2- 3- 11+	2- 3-  0 -2 11+  0  2  8
Curve Equation t Generators 6336bv1 [0,0,0,-300,592] 2 [-16:36:1] 6336bv2 [0,0,0,1140,4624] 2 [18:176:1]
6336bw (1 curve)	1	2- 3- 11+	2- 3-  1  0 11+  6  4 -6
Curve Equation t Generators 6336bw1 [0,0,0,18,378] 1 [13:53:1]
6336bx (3 curves)	1	2- 3- 11+	2- 3-  1  2 11+ -4  2  0
Curve Equation t Generators 6336bx1 [0,0,0,-12,38] 1 [-1:7:1] 6336bx2 [0,0,0,-372,-5002] 1 [26155:376621:125] 6336bx3 [0,0,0,-281532,-57496282] 1 [256809151821554432631344305:6030326746850354449619335049:278049407767690881341375]
6336by (1 curve)	1	2- 3- 11+	2- 3-  1 -4 11+  2  0 -2
Curve Equation t Generators 6336by1 [0,0,0,-102,-398] 1 [327:323:27]
6336bz (4 curves)	1	2- 3- 11+	2- 3-  2  0 11+ -2 -6  0
Curve Equation t Generators 6336bz1 [0,0,0,-444,-3472] 2 [-11:9:1] 6336bz2 [0,0,0,-1164,10640] 4 [-22:160:1] 6336bz3 [0,0,0,-17004,853328] 2 [-86:1296:1] 6336bz4 [0,0,0,3156,71120] 2 [5:295:1]
6336ca (2 curves)	1	2- 3- 11+	2- 3-  2  2 11+  2 -4 -6
Curve Equation t Generators 6336ca1 [0,0,0,96,-200] 2 [50:360:1] 6336ca2 [0,0,0,-444,-1712] 2 [-16:36:1]
6336cb (2 curves)	1	2- 3- 11+	2- 3- -2  2 11+  2  0 -2
Curve Equation t Generators 6336cb1 [0,0,0,-291,1816] 2 [-4:54:1] 6336cb2 [0,0,0,204,7360] 2 [32:216:1]
6336cc (4 curves)	1	2- 3- 11+	2- 3- -2 -4 11+  2  2  0
Curve Equation t Generators 6336cc1 [0,0,0,-3756,-87856] 2 [-35:27:1] 6336cc2 [0,0,0,-6636,65360] 4 [-22:448:1] 6336cc3 [0,0,0,-84396,9427664] 2 [-70:3872:1] 6336cc4 [0,0,0,25044,508880] 2 [176:3220:1]
6336cd (4 curves)	1	2- 3- 11+	2- 3- -4  2 11+ -4  2  0
Curve Equation t Generators 6336cd1 [0,0,0,-25932,1171600] 2 [32:612:1] 6336cd2 [0,0,0,66228,7622800] 2 [-78:1408:1] 6336cd3 [0,0,0,-5797452,-5372839280] 2 [10800920370:-415304986496:3048625] 6336cd4 [0,0,0,-5791692,-5384048240] 2 [574570:31896288:125]
6336ce (4 curves)	0	2- 3- 11-	2- 3-  0 -2 11-  4  6 -4
Curve Equation t 6336ce1 [0,0,0,-3180,65104] 2 6336ce2 [0,0,0,2580,274768] 2 6336ce3 [0,0,0,-46380,-3829808] 2 6336ce4 [0,0,0,-23340,-7636016] 2
6336cf (1 curve)	0	2- 3- 11-	2- 3-  1  0 11-  6  4  6
Curve Equation t 6336cf1 [0,0,0,18,-378] 1
6336cg (1 curve)	0	2- 3- 11-	2- 3-  1  4 11-  2  0  2
Curve Equation t 6336cg1 [0,0,0,-102,398] 1
6336ch (2 curves)	0	2- 3- 11-	2- 3-  2 -2 11- -6  4 -2
Curve Equation t 6336ch1 [0,0,0,-2784,65720] 2 6336ch2 [0,0,0,-46524,3862352] 2
6336ci (4 curves)	0	2- 3- 11-	2- 3-  2  4 11-  6 -2  4
Curve Equation t 6336ci1 [0,0,0,-1164,272] 2 6336ci2 [0,0,0,-12684,-548080] 4 6336ci3 [0,0,0,-202764,-35142640] 2 6336ci4 [0,0,0,-6924,-1048048] 2
6336cj (2 curves)	0	2- 3- 11-	2- 3- -2 -2 11-  2  0  2
Curve Equation t 6336cj1 [0,0,0,-291,-1816] 2 6336cj2 [0,0,0,204,-7360] 2
6336ck (4 curves)	2	2- 3- 11-	2- 3- -2 -4 11- -6 -6 -8
Curve Equation t Generators 6336ck1 [0,0,0,24,1240] 2 [-7:27:1]&[2:36:1] 6336ck2 [0,0,0,-1596,23920] 4 [-28:216:1]&[-24:220:1] 6336ck3 [0,0,0,-3756,-54704] 2 [-46:144:1]&[-30:176:1] 6336ck4 [0,0,0,-25356,1554064] 2 [-70:1728:1]&[74:288:1]
6336cl (1 curve)	0	2- 3- 11-	2- 3- -3  2 11-  0  6  4
Curve Equation t 6336cl1 [0,0,0,-144,864] 1
6336cm (2 curves)	0	2- 3- 11-	2- 3- -3 -2 11-  4 -6  8
Curve Equation t 6336cm1 [0,0,0,96,-416] 1 6336cm2 [0,0,0,-2784,-56864] 1
6336cn (2 curves)	0	2- 3- 11-	2- 3-  4  2 11-  0  6  4
Curve Equation t 6336cn1 [0,0,0,-288588,-59671280] 2 6336cn2 [0,0,0,-287148,-60296240] 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