Cremona's table of elliptic curves

70950 = 2 · 3 · 5² · 11 · 43

Class	r	Atkin-Lehner	Eigenvalues
70950a (4 curves)	1	2+ 3+ 5+ 11+ 43+	2+ 3+ 5+  4 11+ -2  6 -4
Curve Equation t Generators 70950a1 [1,1,0,-17000,1344000] 2 [56:728:1] 70950a2 [1,1,0,-314000,67575000] 2 [331:41:1] 70950a3 [1,1,0,140500,-22438500] 2 [2306:110966:1] 70950a4 [1,1,0,-857750,-219093750] 2 [16449079:728073719:6859]
70950b (6 curves)	0	2+ 3+ 5+ 11+ 43-	2+ 3+ 5+  0 11+  2  6 -4
Curve Equation t 70950b1 [1,1,0,-181725,29728125] 2 70950b2 [1,1,0,-213725,18496125] 4 70950b3 [1,1,0,732275,138638125] 2 70950b4 [1,1,0,-1671725,-819853875] 4 70950b5 [1,1,0,-38225,-2350443375] 2 70950b6 [1,1,0,-26633225,-52914504375] 2
70950c (1 curve)	0	2+ 3+ 5+ 11+ 43-	2+ 3+ 5+  1 11+ -3 -4 -1
Curve Equation t 70950c1 [1,1,0,-5762625,-5326903125] 1
70950d (2 curves)	0	2+ 3+ 5+ 11+ 43-	2+ 3+ 5+  4 11+  0  2 -4
Curve Equation t 70950d1 [1,1,0,-1950,-31500] 2 70950d2 [1,1,0,2050,-139500] 2
70950e (1 curve)	0	2+ 3+ 5+ 11- 43+	2+ 3+ 5+ -1 11-  6  2  6
Curve Equation t 70950e1 [1,1,0,-25,115] 1
70950f (2 curves)	0	2+ 3+ 5+ 11- 43+	2+ 3+ 5+  2 11-  2  2 -4
Curve Equation t 70950f1 [1,1,0,-56100,2178000] 2 70950f2 [1,1,0,199900,16770000] 2
70950g (2 curves)	2	2+ 3+ 5+ 11- 43+	2+ 3+ 5+ -5 11- -2 -3  5
Curve Equation t Generators 70950g1 [1,1,0,1060,-7920] 1 [31:-252:1]&[16:108:1] 70950g2 [1,1,0,-22040,-1287660] 1 [214:1856:1]&[1171:39168:1]
70950h (1 curve)	1	2+ 3+ 5+ 11- 43-	2+ 3+ 5+  1 11-  2 -4 -8
Curve Equation t Generators 70950h1 [1,1,0,-25325,2452125] 1 [-161:1626:1]
70950i (1 curve)	1	2+ 3+ 5+ 11- 43-	2+ 3+ 5+  1 11-  5  2  1
Curve Equation t Generators 70950i1 [1,1,0,362125,122278125] 1 [1275:50925:1]
70950j (2 curves)	0	2+ 3+ 5- 11+ 43+	2+ 3+ 5-  0 11+  0 -2 -2
Curve Equation t 70950j1 [1,1,0,-4450,2096500] 2 70950j2 [1,1,0,-274450,54746500] 2
70950k (2 curves)	1	2+ 3+ 5- 11- 43+	2+ 3+ 5-  0 11-  6 -4 -2
Curve Equation t Generators 70950k1 [1,1,0,-40,-7700] 2 [31:133:1] 70950k2 [1,1,0,-6090,-183150] 2 [141:1266:1]
70950l (1 curve)	1	2+ 3+ 5- 11- 43+	2+ 3+ 5-  3 11-  2  3  1
Curve Equation t Generators 70950l1 [1,1,0,-95200,37024000] 1 [384:7376:1]
70950m (1 curve)	1	2+ 3+ 5- 11- 43+	2+ 3+ 5-  3 11-  7  6 -7
Curve Equation t Generators 70950m1 [1,1,0,-135450,19156500] 1 [185:-780:1]
70950n (6 curves)	0	2+ 3- 5+ 11+ 43+	2+ 3- 5+  0 11+ -6 -2  4
Curve Equation t 70950n1 [1,0,1,-828626,288658148] 2 70950n2 [1,0,1,-1340626,-110701852] 4 70950n3 [1,0,1,5259374,-876301852] 2 70950n4 [1,0,1,-16132626,-24902093852] 4 70950n5 [1,0,1,-10929626,-41239513852] 2 70950n6 [1,0,1,-258007626,-1595154593852] 2
70950o (4 curves)	0	2+ 3- 5+ 11+ 43+	2+ 3- 5+  4 11+ -2 -2  4
Curve Equation t 70950o1 [1,0,1,24724,-425302] 2 70950o2 [1,0,1,-103276,-3497302] 4 70950o3 [1,0,1,-963276,361142698] 2 70950o4 [1,0,1,-1291276,-564233302] 2
70950p (1 curve)	2	2+ 3- 5+ 11- 43-	2+ 3- 5+ -3 11- -3 -2 -7
Curve Equation t Generators 70950p1 [1,0,1,-35501,3024398] 1 [-1554:13673:8]&[96:661:1]
70950q (2 curves)	1	2+ 3- 5- 11+ 43+	2+ 3- 5-  0 11+  2  4  2
Curve Equation t Generators 70950q1 [1,0,1,-216,-1322] 2 [32:141:1] 70950q2 [1,0,1,-3516,-80522] 2 [76:266:1]
70950r (1 curve)	1	2+ 3- 5- 11+ 43+	2+ 3- 5-  3 11+ -1 -2  5
Curve Equation t Generators 70950r1 [1,0,1,-1509201,820422298] 1 [452:-15414:1]
70950s (1 curve)	1	2+ 3- 5- 11+ 43+	2+ 3- 5-  3 11+  4  3  5
Curve Equation t Generators 70950s1 [1,0,1,-2047951,-1572472702] 1 [132429:8740172:27]
70950t (2 curves)	0	2+ 3- 5- 11+ 43-	2+ 3- 5-  4 11+  6  2  6
Curve Equation t 70950t1 [1,0,1,-481,-6892] 2 70950t2 [1,0,1,-9081,-333692] 2
70950u (2 curves)	0	2+ 3- 5- 11+ 43-	2+ 3- 5-  5 11+  2 -6  2
Curve Equation t 70950u1 [1,0,1,-52526,4662848] 3 70950u2 [1,0,1,160099,24734648] 1
70950v (1 curve)	2	2+ 3- 5- 11- 43+	2+ 3- 5- -1 11- -1 -8 -5
Curve Equation t Generators 70950v1 [1,0,1,793924,833122298] 1 [-348:22861:1]&[48:29494:1]
70950w (1 curve)	2	2+ 3- 5- 11- 43+	2+ 3- 5- -1 11- -6 -3 -5
Curve Equation t Generators 70950w1 [1,0,1,-106701,13883548] 1 [-373:1536:1]&[977:28536:1]
70950x (2 curves)	0	2+ 3- 5- 11- 43+	2+ 3- 5-  4 11-  4  6 -2
Curve Equation t 70950x1 [1,0,1,75049,-59533702] 2 70950x2 [1,0,1,-1904951,-966373702] 2
70950y (2 curves)	2	2+ 3- 5- 11- 43+	2+ 3- 5- -4 11- -4 -2 -2
Curve Equation t Generators 70950y1 [1,0,1,-2966,62228] 2 [-48:331:1]&[36:-68:1] 70950y2 [1,0,1,-47516,3982628] 2 [-714:22283:8]&[72:931:1]
70950z (2 curves)	1	2+ 3- 5- 11- 43-	2+ 3- 5-  0 11- -4 -6  2
Curve Equation t Generators 70950z1 [1,0,1,-634451,-208677202] 2 [14166:512663:8] 70950z2 [1,0,1,-10354451,-12825237202] 2 [-1857:1192:1]
70950ba (1 curve)	1	2+ 3- 5- 11- 43-	2+ 3- 5- -3 11- -4  6  6
Curve Equation t Generators 70950ba1 [1,0,1,-700701,229654048] 1 [488:1752:1]
70950bb (2 curves)	0	2- 3+ 5+ 11+ 43+	2- 3+ 5+  1 11+  4  3 -4
Curve Equation t 70950bb1 [1,1,1,-4878788,4146979781] 1 70950bb2 [1,1,1,2812837,15574122281] 1
70950bc (4 curves)	0	2- 3+ 5+ 11+ 43+	2- 3+ 5+  4 11+  4  0  8
Curve Equation t 70950bc1 [1,1,1,-34517813,-119382292969] 2 70950bc2 [1,1,1,-629928563,-6084207186469] 2 70950bc3 [1,1,1,-3188809688,-69310557431719] 2 70950bc4 [1,1,1,-51020956688,-4435811592767719] 2
70950bd (2 curves)	0	2- 3+ 5+ 11+ 43+	2- 3+ 5+ -5 11+ -2  6  2
Curve Equation t 70950bd1 [1,1,1,-1313138,582856031] 1 70950bd2 [1,1,1,4002487,3091831031] 1
70950be (4 curves)	1	2- 3+ 5+ 11+ 43-	2- 3+ 5+  0 11+  2 -6  8
Curve Equation t Generators 70950be1 [1,1,1,-11463,-369219] 2 [-75:312:1] 70950be2 [1,1,1,-61463,5530781] 4 [-135:3442:1] 70950be3 [1,1,1,46037,22945781] 2 [-49:4560:1] 70950be4 [1,1,1,-968963,366715781] 4 [1075:23312:1]
70950bf (1 curve)	1	2- 3+ 5+ 11+ 43-	2- 3+ 5+ -3 11+ -4 -3  5
Curve Equation t Generators 70950bf1 [1,1,1,-81918,-12612549] 1 [369:2567:1]
70950bg (2 curves)	1	2- 3+ 5+ 11- 43+	2- 3+ 5+  0 11- -2  6  0
Curve Equation t Generators 70950bg1 [1,1,1,50187,-2930469] 2 [99:1688:1] 70950bg2 [1,1,1,-246813,-26096469] 2 [1449:50862:1]
70950bh (1 curve)	1	2- 3+ 5+ 11- 43+	2- 3+ 5+  3 11-  4 -6  6
Curve Equation t Generators 70950bh1 [1,1,1,-28028,1826021] 1 [-169:1415:1]
70950bi (1 curve)	0	2- 3+ 5+ 11- 43-	2- 3+ 5+  1 11-  6  3 -5
Curve Equation t 70950bi1 [1,1,1,-4268,109361] 1
70950bj (1 curve)	0	2- 3+ 5+ 11- 43-	2- 3+ 5+  3 11- -4 -3 -4
Curve Equation t 70950bj1 [1,1,1,-1463,-31219] 1
70950bk (2 curves)	1	2- 3+ 5- 11+ 43+	2- 3+ 5- -4 11+ -6 -2  6
Curve Equation t Generators 70950bk1 [1,1,1,-12013,-861469] 2 [221:2598:1] 70950bk2 [1,1,1,-227013,-41711469] 2 [721:12680:1]
70950bl (2 curves)	0	2- 3+ 5- 11+ 43-	2- 3+ 5-  0 11+ -2 -4  2
Curve Equation t 70950bl1 [1,1,1,-5388,-165219] 2 70950bl2 [1,1,1,-87888,-10065219] 2
70950bm (1 curve)	0	2- 3+ 5- 11+ 43-	2- 3+ 5- -3 11+  1  2  5
Curve Equation t 70950bm1 [1,1,1,-60368,6539231] 1
70950bn (2 curves)	0	2- 3+ 5- 11- 43+	2- 3+ 5-  0 11-  4  6  2
Curve Equation t 70950bn1 [1,1,1,-25378,-1679569] 2 70950bn2 [1,1,1,-414178,-102767569] 2
70950bo (1 curve)	1	2- 3+ 5- 11- 43-	2- 3+ 5-  1 11-  1  8 -5
Curve Equation t Generators 70950bo1 [1,1,1,31757,6677681] 1 [535:13042:1]
70950bp (2 curves)	1	2- 3+ 5- 11- 43-	2- 3+ 5-  4 11-  4  2 -2
Curve Equation t Generators 70950bp1 [1,1,1,-74138,7778531] 2 [1198:1399:8] 70950bp2 [1,1,1,-1187888,497828531] 2 [11056006:-5399185:17576]
70950bq (2 curves)	1	2- 3+ 5- 11- 43-	2- 3+ 5- -4 11- -4 -6 -2
Curve Equation t Generators 70950bq1 [1,1,1,3002,-475069] 2 [155:-2013:1] 70950bq2 [1,1,1,-76198,-7761469] 2 [-185:307:1]
70950br (2 curves)	1	2- 3- 5+ 11+ 43+	2- 3- 5+  0 11+  0 -8  4
Curve Equation t Generators 70950br1 [1,0,0,-30412688,64553332992] 2 [3232:-6416:1] 70950br2 [1,0,0,-486604688,4131505012992] 2 [12736:-6416:1]
70950bs (2 curves)	1	2- 3- 5+ 11+ 43+	2- 3- 5+ -2 11+  2  6  0
Curve Equation t Generators 70950bs1 [1,0,0,-658088,-205536708] 2 [1492:45454:1] 70950bs2 [1,0,0,-651838,-209630458] 2 [4092298:-128860199:2744]
70950bt (1 curve)	1	2- 3- 5+ 11+ 43+	2- 3- 5+  3 11+  3 -2  1
Curve Equation t Generators 70950bt1 [1,0,0,687,-4383] 1 [12:69:1]
70950bu (4 curves)	0	2- 3- 5+ 11+ 43-	2- 3- 5+  0 11+ -2 -6 -8
Curve Equation t 70950bu1 [1,0,0,-30438,11073492] 4 70950bu2 [1,0,0,-954938,357760992] 4 70950bu3 [1,0,0,-1438688,-43267758] 2 70950bu4 [1,0,0,-15263188,22950487742] 2
70950bv (4 curves)	0	2- 3- 5+ 11- 43+	2- 3- 5+  0 11- -6 -6  0
Curve Equation t 70950bv1 [1,0,0,-256713,-99902583] 4 70950bv2 [1,0,0,-5157213,-4505452083] 4 70950bv3 [1,0,0,-6221463,-2512111833] 2 70950bv4 [1,0,0,-82500963,-288434358333] 2
70950bw (1 curve)	0	2- 3- 5+ 11- 43+	2- 3- 5+  1 11-  4 -3  4
Curve Equation t 70950bw1 [1,0,0,-688,8492] 1
70950bx (2 curves)	0	2- 3- 5+ 11- 43+	2- 3- 5+  2 11-  2  6  0
Curve Equation t 70950bx1 [1,0,0,-6463,131417] 2 70950bx2 [1,0,0,18537,906417] 2
70950by (1 curve)	2	2- 3- 5+ 11- 43+	2- 3- 5+ -5 11- -5 -4 -5
Curve Equation t Generators 70950by1 [1,0,0,-3499938,3778887492] 1 [1212:35694:1]&[-2088:45594:1]
70950bz (1 curve)	1	2- 3- 5+ 11- 43-	2- 3- 5+ -3 11- -2 -3  1
Curve Equation t Generators 70950bz1 [1,0,0,-3808,296192] 1 [266:4124:1]
70950ca (2 curves)	1	2- 3- 5- 11+ 43-	2- 3- 5-  0 11+  0  2 -2
Curve Equation t Generators 70950ca1 [1,0,0,-178,16772] 2 [-4:134:1] 70950ca2 [1,0,0,-10978,437972] 2 [2:644:1]
70950cb (1 curve)	1	2- 3- 5- 11- 43+	2- 3- 5- -1 11- -2  4 -8
Curve Equation t Generators 70950cb1 [1,0,0,-1013,19617] 1 [-8:-161:1]
70950cc (2 curves)	0	2- 3- 5- 11- 43-	2- 3- 5-  0 11- -6  4 -2
Curve Equation t 70950cc1 [1,0,0,-1013,-960483] 2 70950cc2 [1,0,0,-152263,-22589233] 2
70950cd (1 curve)	0	2- 3- 5- 11- 43-	2- 3- 5-  1 11- -6 -2  6
Curve Equation t 70950cd1 [1,0,0,-638,15642] 1
70950ce (1 curve)	2	2- 3- 5- 11- 43-	2- 3- 5- -3 11- -7 -6 -7
Curve Equation t Generators 70950ce1 [1,0,0,-5418,153252] 1 [48:-90:1]&[42:-36:1]
70950cf (2 curves)	0	2- 3- 5- 11- 43-	2- 3- 5-  5 11-  2  3  5
Curve Equation t 70950cf1 [1,0,0,26487,-1042983] 3 70950cf2 [1,0,0,-551013,-159855483] 1

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