Cremona's table of elliptic curves

11970 = 2 · 3² · 5 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
11970a (2 curves)	1	2+ 3+ 5+ 7+ 19+	2+ 3+ 5+ 7+  0 -2 -2 19+
Curve Equation t Generators 11970a1 [1,-1,0,64245,-1423675] 2 [41:1110:1] 11970a2 [1,-1,0,-264075,-11338939] 2 [3497:202753:1]
11970b (2 curves)	1	2+ 3+ 5+ 7+ 19+	2+ 3+ 5+ 7+  2  0  4 19+
Curve Equation t Generators 11970b1 [1,-1,0,-402150,-97447500] 2 [-24300:52575:64] 11970b2 [1,-1,0,-6423270,-6264278604] 2 [43470:2740827:8]
11970c (1 curve)	1	2+ 3+ 5+ 7+ 19+	2+ 3+ 5+ 7+ -3 -5  4 19+
Curve Equation t Generators 11970c1 [1,-1,0,-15,251] 1 [-5:16:1]
11970d (2 curves)	0	2+ 3+ 5+ 7- 19+	2+ 3+ 5+ 7- -2  6 -2 19+
Curve Equation t 11970d1 [1,-1,0,-15,-775] 2 11970d2 [1,-1,0,-1365,-18865] 2
11970e (4 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  0 -4  6 19-
Curve Equation t Generators 11970e1 [1,-1,0,-9345,319725] 6 [-105:420:1] 11970e2 [1,-1,0,11235,1517481] 6 [-77:476:1] 11970e3 [1,-1,0,-162960,-25225984] 2 [15456:216272:27] 11970e4 [1,-1,0,-102480,-44228800] 2 [40526:2857667:8]
11970f (2 curves)	1	2+ 3+ 5+ 7- 19-	2+ 3+ 5+ 7-  3 -1  0 19-
Curve Equation t Generators 11970f1 [1,-1,0,-735,9261] 3 [21:42:1] 11970f2 [1,-1,0,5250,-59500] 1 [206:2327:8]
11970g (2 curves)	1	2+ 3+ 5- 7+ 19-	2+ 3+ 5- 7+  0  2 -2 19-
Curve Equation t Generators 11970g1 [1,-1,0,-204,4220] 2 [-1:67:1] 11970g2 [1,-1,0,-5334,150938] 2 [7:334:1]
11970h (1 curve)	1	2+ 3+ 5- 7+ 19-	2+ 3+ 5- 7+  3 -1  4 19-
Curve Equation t Generators 11970h1 [1,-1,0,-3513039,-2555905555] 1 [2221:23257:1]
11970i (2 curves)	1	2+ 3+ 5- 7- 19+	2+ 3+ 5- 7-  2 -4 -4 19+
Curve Equation t Generators 11970i1 [1,-1,0,-1134,10388] 2 [-28:154:1] 11970i2 [1,-1,0,-7014,-216580] 2 [-49:112:1]
11970j (4 curves)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7-  0  2  6 19-
Curve Equation t 11970j1 [1,-1,0,-54489,5025645] 6 11970j2 [1,-1,0,-877569,316643733] 6 11970j3 [1,-1,0,243336,19983680] 2 11970j4 [1,-1,0,-1069944,167859008] 2
11970k (2 curves)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7- -3 -7  0 19-
Curve Equation t 11970k1 [1,-1,0,-430494,-111928500] 3 11970k2 [1,-1,0,-35164869,-80253512875] 1
11970l (4 curves)	0	2+ 3+ 5- 7- 19-	2+ 3+ 5- 7- -6  2 -6 19-
Curve Equation t 11970l1 [1,-1,0,2001,42093] 6 11970l2 [1,-1,0,-12999,429093] 6 11970l3 [1,-1,0,-19374,-1733932] 2 11970l4 [1,-1,0,-364974,-84747052] 2
11970m (1 curve)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+  1  1  1 19+
Curve Equation t 11970m1 [1,-1,0,-225,-1499] 1
11970n (1 curve)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+  1  1  4 19+
Curve Equation t 11970n1 [1,-1,0,1395,33075] 1
11970o (1 curve)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+  1  1 -7 19+
Curve Equation t 11970o1 [1,-1,0,-1713299175,-8793753926407299] 1
11970p (1 curve)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+ -1 -3  7 19+
Curve Equation t 11970p1 [1,-1,0,-630,-24300] 1
11970q (6 curves)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+  4 -2 -2 19+
Curve Equation t 11970q1 [1,-1,0,34470,987700] 2 11970q2 [1,-1,0,-149850,8323636] 4 11970q3 [1,-1,0,-1298970,-563708300] 2 11970q4 [1,-1,0,-1949850,1047643636] 4 11970q5 [1,-1,0,-31190850,67056277036] 2 11970q6 [1,-1,0,-1508850,1533890236] 2
11970r (6 curves)	0	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+ -4  6 -2 19+
Curve Equation t 11970r1 [1,-1,0,-90945,-10533699] 2 11970r2 [1,-1,0,-91665,-10357875] 4 11970r3 [1,-1,0,-222885,26095041] 4 11970r4 [1,-1,0,28035,-35566695] 2 11970r5 [1,-1,0,-3199635,2203289991] 2 11970r6 [1,-1,0,654345,180312075] 2
11970s (2 curves)	2	2+ 3- 5+ 7+ 19+	2+ 3- 5+ 7+ -6 -6  0 19+
Curve Equation t Generators 11970s1 [1,-1,0,-225,1161] 2 [-15:39:1]&[-12:51:1] 11970s2 [1,-1,0,405,6075] 2 [-9:45:1]&[-5:65:1]
11970t (6 curves)	1	2+ 3- 5+ 7+ 19-	2+ 3- 5+ 7+ -4 -2 -2 19-
Curve Equation t Generators 11970t1 [1,-1,0,-7875,-259115] 2 [-49:110:1] 11970t2 [1,-1,0,-19395,683221] 4 [-97:1331:1] 11970t3 [1,-1,0,-279315,56877925] 4 [-22:7949:1] 11970t4 [1,-1,0,56205,4659781] 2 [15:2339:1] 11970t5 [1,-1,0,-4468815,3637224625] 2 [1160:3065:1] 11970t6 [1,-1,0,-248535,69873241] 2 [-3:8405:1]
11970u (2 curves)	0	2+ 3- 5+ 7- 19-	2+ 3- 5+ 7-  3 -7 -3 19-
Curve Equation t 11970u1 [1,-1,0,-14715,-715419] 1 11970u2 [1,-1,0,78885,-1436859] 3
11970v (1 curve)	0	2+ 3- 5+ 7- 19-	2+ 3- 5+ 7-  5  1  7 19-
Curve Equation t 11970v1 [1,-1,0,-1130535,-1653568259] 1
11970w (2 curves)	1	2+ 3- 5- 7+ 19+	2+ 3- 5- 7+  2 -2  0 19+
Curve Equation t Generators 11970w1 [1,-1,0,-18954,-918540] 2 [-81:324:1] 11970w2 [1,-1,0,21366,-4329612] 2 [303:5316:1]
11970x (1 curve)	0	2+ 3- 5- 7+ 19-	2+ 3- 5- 7+  1 -1  3 19-
Curve Equation t 11970x1 [1,-1,0,-31974,-2392012] 1
11970y (1 curve)	0	2+ 3- 5- 7+ 19-	2+ 3- 5- 7+ -1  1 -4 19-
Curve Equation t 11970y1 [1,-1,0,756,648] 1
11970z (1 curve)	0	2+ 3- 5- 7- 19+	2+ 3- 5- 7-  5 -1  5 19+
Curve Equation t 11970z1 [1,-1,0,156,80] 1
11970ba (4 curves)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7-  4 -6  2 19-
Curve Equation t Generators 11970ba1 [1,-1,0,-58059,5350725] 2 [159:267:1] 11970ba2 [1,-1,0,-104139,-4298427] 4 [-266:2261:1] 11970ba3 [1,-1,0,-1335339,-593058267] 2 [-671:1046:1] 11970ba4 [1,-1,0,389781,-33637275] 2 [441:14742:1]
11970bb (4 curves)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7- -4  2 -6 19-
Curve Equation t Generators 11970bb1 [1,-1,0,-1134,14980] 2 [24:22:1] 11970bb2 [1,-1,0,-1314,10048] 4 [-13:164:1] 11970bb3 [1,-1,0,-9864,-367862] 2 [-51:50:1] 11970bb4 [1,-1,0,4356,70150] 2 [-1:257:1]
11970bc (1 curve)	1	2+ 3- 5- 7- 19-	2+ 3- 5- 7-  5 -1  0 19-
Curve Equation t Generators 11970bc1 [1,-1,0,-2019654,1688395828] 1 [1067:26804:1]
11970bd (2 curves)	1	2- 3+ 5+ 7+ 19-	2- 3+ 5+ 7+  0  2  2 19-
Curve Equation t Generators 11970bd1 [1,-1,1,-23,-149] 2 [31:152:1] 11970bd2 [1,-1,1,-593,-5393] 2 [286:931:8]
11970be (1 curve)	1	2- 3+ 5+ 7+ 19-	2- 3+ 5+ 7+ -3 -1 -4 19-
Curve Equation t Generators 11970be1 [1,-1,1,-390338,94793281] 1 [343:911:1]
11970bf (2 curves)	1	2- 3+ 5+ 7- 19+	2- 3+ 5+ 7- -2 -4  4 19+
Curve Equation t Generators 11970bf1 [1,-1,1,-10208,-270269] 2 [-55:377:1] 11970bf2 [1,-1,1,-63128,5910787] 2 [295:3443:1]
11970bg (4 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  0  2 -6 19-
Curve Equation t 11970bg1 [1,-1,1,27037,-749149] 6 11970bg2 [1,-1,1,-118883,-6177373] 6 11970bg3 [1,-1,1,-490403,-135202013] 2 11970bg4 [1,-1,1,-7898123,-8541482669] 2
11970bh (2 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  3 -7  0 19-
Curve Equation t 11970bh1 [1,-1,1,-3907208,2973654731] 3 11970bh2 [1,-1,1,-3874448,3025943947] 1
11970bi (4 curves)	0	2- 3+ 5+ 7- 19-	2- 3+ 5+ 7-  6  2  6 19-
Curve Equation t 11970bi1 [1,-1,1,-2153,64937] 6 11970bi2 [1,-1,1,-40553,3152297] 6 11970bi3 [1,-1,1,18007,-1154519] 2 11970bi4 [1,-1,1,-116993,-11468519] 2
11970bj (2 curves)	1	2- 3+ 5- 7+ 19+	2- 3+ 5- 7+  0 -2  2 19+
Curve Equation t Generators 11970bj1 [1,-1,1,7138,50349] 2 [17:411:1] 11970bj2 [1,-1,1,-29342,429741] 2 [-79:1539:1]
11970bk (2 curves)	1	2- 3+ 5- 7+ 19+	2- 3+ 5- 7+ -2  0 -4 19+
Curve Equation t Generators 11970bk1 [1,-1,1,-3619352,2634701851] 2 [941:7369:1] 11970bk2 [1,-1,1,-57809432,169193331739] 2 [3797:64601:1]
11970bl (1 curve)	1	2- 3+ 5- 7+ 19+	2- 3+ 5- 7+  3 -5 -4 19+
Curve Equation t Generators 11970bl1 [1,-1,1,-2,-9] 1 [22:-3:8]
11970bm (2 curves)	0	2- 3+ 5- 7- 19+	2- 3+ 5- 7-  2  6  2 19+
Curve Equation t 11970bm1 [1,-1,1,-2,29] 2 11970bm2 [1,-1,1,-152,749] 2
11970bn (4 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7-  0 -4 -6 19-
Curve Equation t Generators 11970bn1 [1,-1,1,-18107,940331] 6 [-149:634:1] 11970bn2 [1,-1,1,-11387,1641899] 6 [-143:646:1] 11970bn3 [1,-1,1,-84107,-8548469] 2 [-139:734:1] 11970bn4 [1,-1,1,101113,-41073101] 2 [379:6992:1]
11970bo (2 curves)	1	2- 3+ 5- 7- 19-	2- 3+ 5- 7- -3 -1  0 19-
Curve Equation t Generators 11970bo1 [1,-1,1,583,2009] 3 [-3:16:1] 11970bo2 [1,-1,1,-6617,-243431] 1 [379:-7372:1]
11970bp (4 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  0 -2 -2 19+
Curve Equation t Generators 11970bp1 [1,-1,1,-118598,15747797] 4 [-87:5083:1] 11970bp2 [1,-1,1,-130118,12512981] 4 [-95:4947:1] 11970bp3 [1,-1,1,-800438,-265803883] 2 [-437:843:1] 11970bp4 [1,-1,1,355882,83663381] 2 [391:16611:1]
11970bq (1 curve)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  1 -5  4 19+
Curve Equation t Generators 11970bq1 [1,-1,1,-1283,18051] 1 [23:-30:1]
11970br (4 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+  4  2 -6 19+
Curve Equation t Generators 11970br1 [1,-1,1,-420548,123753831] 2 [101:9021:1] 11970br2 [1,-1,1,-7056068,7215797607] 4 [933:37533:1] 11970br3 [1,-1,1,-7384388,6507677031] 2 [825:30837:1] 11970br4 [1,-1,1,-112896068,461735093607] 2 [6137:-2763:1]
11970bs (2 curves)	1	2- 3- 5+ 7+ 19+	2- 3- 5+ 7+ -6  2  4 19+
Curve Equation t Generators 11970bs1 [1,-1,1,-15777113,-24116727819] 2 [-23034590049727285:11508547061293806:10045537627033] 11970bs2 [1,-1,1,-15776483,-24118750623] 2 [14998959425337978428948574:-478983431949032611206042571:2967535152805702065768]
11970bt (1 curve)	0	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+  0 -4 -1 19-
Curve Equation t 11970bt1 [1,-1,1,-173,-3419] 1
11970bu (1 curve)	0	2- 3- 5+ 7+ 19-	2- 3- 5+ 7+  5  3  5 19-
Curve Equation t 11970bu1 [1,-1,1,10687,325617] 1
11970bv (4 curves)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  0 -2  2 19+
Curve Equation t 11970bv1 [1,-1,1,373,7179] 4 11970bv2 [1,-1,1,-4127,91779] 4 11970bv3 [1,-1,1,-16277,-700401] 2 11970bv4 [1,-1,1,-63977,6244359] 2
11970bw (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  0  4 -7 19+
Curve Equation t 11970bw1 [1,-1,1,22648,-2638389] 1
11970bx (4 curves)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  0 -6 -2 19+
Curve Equation t 11970bx1 [1,-1,1,-26511692,52548346559] 4 11970bx2 [1,-1,1,-26511872,52547597471] 4 11970bx3 [1,-1,1,-27583502,48069898679] 2 11970bx4 [1,-1,1,-25443122,56977352471] 2
11970by (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  1  5  3 19+
Curve Equation t 11970by1 [1,-1,1,-78692,8516841] 1
11970bz (1 curve)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+  3  1  5 19+
Curve Equation t 11970bz1 [1,-1,1,-3677,-84891] 1
11970ca (2 curves)	0	2- 3- 5- 7+ 19+	2- 3- 5- 7+ -6 -2 -4 19+
Curve Equation t 11970ca1 [1,-1,1,-302371232,-2014276039869] 2 11970ca2 [1,-1,1,-137220512,-4205099431101] 2
11970cb (1 curve)	1	2- 3- 5- 7+ 19-	2- 3- 5- 7+ -1  3 -4 19-
Curve Equation t Generators 11970cb1 [1,-1,1,731398,-1775475399] 1 [1421:45459:1]
11970cc (2 curves)	1	2- 3- 5- 7+ 19-	2- 3- 5- 7+  2 -2 -4 19-
Curve Equation t Generators 11970cc1 [1,-1,1,-6512,203411] 2 [-39:649:1] 11970cc2 [1,-1,1,-3992,360659] 2 [-33:691:1]
11970cd (4 curves)	1	2- 3- 5- 7+ 19-	2- 3- 5- 7+ -4 -2  2 19-
Curve Equation t Generators 11970cd1 [1,-1,1,31153,-21874921] 4 [319:4362:1] 11970cd2 [1,-1,1,-1008527,-374950249] 4 [-579:4114:1] 11970cd3 [1,-1,1,-15967607,-24554807161] 2 [578705:3098396:125] 11970cd4 [1,-1,1,-2684327,1195609511] 2 [3145:152872:1]
11970ce (1 curve)	1	2- 3- 5- 7- 19+	2- 3- 5- 7- -3  3 -8 19+
Curve Equation t Generators 11970ce1 [1,-1,1,-5702,383829] 1 [287:-4869:1]
11970cf (4 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7- -4  2  2 19+
Curve Equation t Generators 11970cf1 [1,-1,1,-317,-251] 2 [-1:8:1] 11970cf2 [1,-1,1,-3197,70021] 4 [11:184:1] 11970cf3 [1,-1,1,-51077,4455829] 2 [133:-22:1] 11970cf4 [1,-1,1,-1397,147061] 2 [29:346:1]
11970cg (4 curves)	1	2- 3- 5- 7- 19+	2- 3- 5- 7- -4 -6  2 19+
Curve Equation t Generators 11970cg1 [1,-1,1,-4757,52589] 4 [-63:346:1] 11970cg2 [1,-1,1,-40037,-3037939] 4 [-119:234:1] 11970cg3 [1,-1,1,-638537,-196233739] 2 [-461:234:1] 11970cg4 [1,-1,1,-6017,-8059291] 2 [367:6066:1]
11970ch (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  0 -4 -3 19-
Curve Equation t 11970ch1 [1,-1,1,-3092,-65401] 1 11970ch2 [1,-1,1,373,-203749] 3
11970ci (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7-  3  5  3 19-
Curve Equation t 11970ci1 [1,-1,1,-32,-331] 1 11970ci2 [1,-1,1,283,8741] 3
11970cj (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7- -3  5  0 19-
Curve Equation t 11970cj1 [1,-1,1,-1202,49511] 1 11970cj2 [1,-1,1,-145787,21461699] 3
11970ck (2 curves)	0	2- 3- 5- 7- 19-	2- 3- 5- 7- -3  5 -3 19-
Curve Equation t 11970ck1 [1,-1,1,-95387,-19918339] 1 11970ck2 [1,-1,1,804928,374253419] 3

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