Cremona's table of elliptic curves

7950 = 2 · 3 · 5² · 53

Class	r	Atkin-Lehner	Eigenvalues
7950a (2 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  0  2 -2  0 -2
Curve Equation t 7950a1 [1,1,0,-250,-3500] 2 7950a2 [1,1,0,-5250,-148500] 2
7950b (4 curves)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -2  0  4  0  8
Curve Equation t 7950b1 [1,1,0,-5250,-103500] 2 7950b2 [1,1,0,-32250,2137500] 2 7950b3 [1,1,0,-387750,-93096000] 2 7950b4 [1,1,0,-388500,-92718750] 2
7950c (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+  3 -3  2  4 -7
Curve Equation t 7950c1 [1,1,0,-10150,452500] 1
7950d (1 curve)	0	2+ 3+ 5+ 53-	2+ 3+ 5+ -3  3  2  4  5
Curve Equation t 7950d1 [1,1,0,-10,-20] 1
7950e (2 curves)	0	2+ 3+ 5- 53+	2+ 3+ 5-  2 -4 -6 -4 -6
Curve Equation t 7950e1 [1,1,0,-435700,-106766000] 2 7950e2 [1,1,0,-1155700,336034000] 2
7950f (1 curve)	1	2+ 3+ 5- 53-	2+ 3+ 5-  1 -4  0  2 -4
Curve Equation t Generators 7950f1 [1,1,0,1800,-81000] 1 [35:145:1]
7950g (2 curves)	1	2+ 3+ 5- 53-	2+ 3+ 5-  2 -2  2 -6  0
Curve Equation t Generators 7950g1 [1,1,0,9090,1231200] 2 [26:1206:1] 7950g2 [1,1,0,-131360,16821150] 2 [291:1683:1]
7950h (2 curves)	1	2+ 3+ 5- 53-	2+ 3+ 5- -4  4 -4  6 -6
Curve Equation t Generators 7950h1 [1,1,0,-85,-275] 2 [-6:11:1] 7950h2 [1,1,0,-1285,-18275] 2 [-21:11:1]
7950i (2 curves)	1	2+ 3+ 5- 53-	2+ 3+ 5- -4 -4  0  2  6
Curve Equation t Generators 7950i1 [1,1,0,-388200,92934000] 2 [-15:9945:1] 7950i2 [1,1,0,-395700,89146500] 2 [-19:9841:1]
7950j (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  0  0  2  2  8
Curve Equation t 7950j1 [1,0,1,-751,10898] 2 7950j2 [1,0,1,-13251,585898] 4 7950j3 [1,0,1,-14501,468398] 2 7950j4 [1,0,1,-212001,37553398] 2
7950k (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  0 -3 -4 -4  5
Curve Equation t 7950k1 [1,0,1,-25326,-1657952] 1
7950l (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+ -1 -1  6  4 -1
Curve Equation t 7950l1 [1,0,1,-2750526,1755606448] 1
7950m (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  4  4  2 -2  0
Curve Equation t 7950m1 [1,0,1,-22639001,41458561148] 2 7950m2 [1,0,1,-22641001,41450869148] 4 7950m3 [1,0,1,-25953501,28525494148] 2 7950m4 [1,0,1,-19360501,53883964148] 2
7950n (2 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+  4  4 -4  4 -6
Curve Equation t 7950n1 [1,0,1,-3401,-76552] 2 7950n2 [1,0,1,-2651,-111052] 2
7950o (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  4 -5  2 -5  6
Curve Equation t 7950o1 [1,0,1,-301,6248] 1
7950p (4 curves)	0	2+ 3- 5+ 53+	2+ 3- 5+ -4  4 -6  6  0
Curve Equation t 7950p1 [1,0,1,-3376,6398] 2 7950p2 [1,0,1,-35376,-2553602] 4 7950p3 [1,0,1,-565376,-163673602] 2 7950p4 [1,0,1,-17376,-5145602] 2
7950q (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+  5  1  6  0  3
Curve Equation t 7950q1 [1,0,1,1549,-5452] 1
7950r (1 curve)	0	2+ 3- 5+ 53+	2+ 3- 5+ -5 -5  2 -8  3
Curve Equation t 7950r1 [1,0,1,-216716001,-1227979079852] 1
7950s (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  0 -2 -4  2  4
Curve Equation t Generators 7950s1 [1,0,1,-2901,-107552] 2 [107:846:1] 7950s2 [1,0,1,-55901,-5089552] 2 [-138:106:1]
7950t (1 curve)	1	2+ 3- 5+ 53-	2+ 3- 5+ -1  5  0 -2 -1
Curve Equation t Generators 7950t1 [1,0,1,49,-952] 1 [12:31:1]
7950u (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+  2 -4  0  4 -4
Curve Equation t Generators 7950u1 [1,0,1,-4251,95398] 2 [-49:456:1] 7950u2 [1,0,1,-16251,-696602] 2 [-74:356:1]
7950v (2 curves)	1	2+ 3- 5+ 53-	2+ 3- 5+ -4  2  0 -2 -4
Curve Equation t Generators 7950v1 [1,0,1,85849,-19001302] 2 [432:9721:1] 7950v2 [1,0,1,-762151,-217433302] 2 [-638:3356:1]
7950w (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -1  0  2  0 -4
Curve Equation t Generators 7950w1 [1,0,1,-51,148] 3 [-8:11:1] 7950w2 [1,0,1,324,-302] 1 [14:121:8]
7950x (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5-  2  4 -2  0 -2
Curve Equation t Generators 7950x1 [1,0,1,-461,-3832] 2 [-12:7:1] 7950x2 [1,0,1,-661,-232] 2 [-14:86:1]
7950y (2 curves)	1	2+ 3- 5- 53+	2+ 3- 5- -2  0 -2 -4  6
Curve Equation t Generators 7950y1 [1,0,1,-1326,-18452] 2 [-22:24:1] 7950y2 [1,0,1,-2576,21548] 2 [-48:211:1]
7950z (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5-  3  0 -2 -4 -4
Curve Equation t Generators 7950z1 [1,0,1,-12400076,-16834579702] 1 [5052:219886:1]
7950ba (1 curve)	1	2+ 3- 5- 53+	2+ 3- 5- -3 -4 -4  6  4
Curve Equation t Generators 7950ba1 [1,0,1,174,8548] 1 [16:116:1]
7950bb (1 curve)	0	2- 3+ 5+ 53+	2- 3+ 5+ -1 -5 -2  4  1
Curve Equation t 7950bb1 [1,1,1,6459037,4590945281] 1
7950bc (2 curves)	0	2- 3+ 5+ 53+	2- 3+ 5+  2  4  4  4  4
Curve Equation t 7950bc1 [1,1,1,-588,-1719] 2 7950bc2 [1,1,1,-7338,-244719] 2
7950bd (4 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  0  0  2 -2 -4
Curve Equation t Generators 7950bd1 [1,1,1,1537,7781] 2 [5:122:1] 7950bd2 [1,1,1,-6463,55781] 4 [-31:492:1] 7950bd3 [1,1,1,-59463,-5562219] 2 [-131:92:1] 7950bd4 [1,1,1,-81463,8905781] 2 [765:19492:1]
7950be (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  0 -4  4  0 -2
Curve Equation t Generators 7950be1 [1,1,1,-70063,-5350219] 2 [-185:1242:1] 7950be2 [1,1,1,172937,-34024219] 2 [301:6588:1]
7950bf (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+  1  0 -2  0 -4
Curve Equation t Generators 7950bf1 [1,1,1,-1263,18531] 1 [78:639:8] 7950bf2 [1,1,1,8112,-37719] 1 [39:563:1]
7950bg (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+  3 -4  4 -6  4
Curve Equation t Generators 7950bg1 [1,1,1,7,71] 1 [-1:8:1]
7950bh (1 curve)	1	2- 3+ 5+ 53-	2- 3+ 5+ -3  0  2  4 -4
Curve Equation t Generators 7950bh1 [1,1,1,-496003,-134875039] 1 [1219:32158:1]
7950bi (2 curves)	1	2- 3+ 5+ 53-	2- 3+ 5+ -5 -3  4 -6  5
Curve Equation t Generators 7950bi1 [1,1,1,-1513,22031] 1 [25:12:1] 7950bi2 [1,1,1,1112,90281] 1 [115:1267:1]
7950bj (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5-  0 -3  4  4  5
Curve Equation t 7950bj1 [1,1,1,-1013,-13669] 1
7950bk (2 curves)	0	2- 3+ 5- 53-	2- 3+ 5-  2  0  2  4  6
Curve Equation t 7950bk1 [1,1,1,-53,-169] 2 7950bk2 [1,1,1,-103,131] 2
7950bl (2 curves)	0	2- 3+ 5- 53-	2- 3+ 5- -2  4  2  0 -2
Curve Equation t 7950bl1 [1,1,1,-11513,-478969] 2 7950bl2 [1,1,1,-16513,-28969] 2
7950bm (1 curve)	0	2- 3+ 5- 53-	2- 3+ 5- -5  1 -6  0  3
Curve Equation t 7950bm1 [1,1,1,62,-19] 1
7950bn (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -1 -1  4 -6 -1
Curve Equation t Generators 7950bn1 [1,0,0,3537,15417] 1 [102:-1251:1]
7950bo (1 curve)	1	2- 3- 5+ 53+	2- 3- 5+ -1 -4  0 -2 -4
Curve Equation t Generators 7950bo1 [1,0,0,72,-648] 1 [18:72:1]
7950bp (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -2  0  0 -8  0
Curve Equation t Generators 7950bp1 [1,0,0,-259338,50720292] 2 [372:-2586:1] 7950bp2 [1,0,0,-4147338,3250544292] 2 [1182:-216:1]
7950bq (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+  4 -6 -6  4 -6
Curve Equation t Generators 7950bq1 [1,0,0,8287,-12793083] 2 [862:24769:1] 7950bq2 [1,0,0,-772963,-255761833] 2 [15526:588487:8]
7950br (2 curves)	1	2- 3- 5+ 53+	2- 3- 5+ -4  2 -6  4  2
Curve Equation t Generators 7950br1 [1,0,0,-20588,1275792] 2 [-8:1204:1] 7950br2 [1,0,0,-340588,76475792] 2 [932:-24316:1]
7950bs (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+  0 -1  2  7  2
Curve Equation t 7950bs1 [1,0,0,162,-1458] 1
7950bt (4 curves)	0	2- 3- 5+ 53-	2- 3- 5+  0  4  2  2 -8
Curve Equation t 7950bt1 [1,0,0,-393463,-29754583] 4 7950bt2 [1,0,0,-5001463,-4301370583] 4 7950bt3 [1,0,0,-80001463,-275426370583] 2 7950bt4 [1,0,0,-3729463,-6541362583] 2
7950bu (1 curve)	0	2- 3- 5+ 53-	2- 3- 5+  3  1  2 -4  7
Curve Equation t 7950bu1 [1,0,0,162,-708] 1
7950bv (2 curves)	0	2- 3- 5- 53+	2- 3- 5- -2 -2 -2  6  0
Curve Equation t 7950bv1 [1,0,0,227237,153445517] 2 7950bv2 [1,0,0,-3284013,2109211767] 2
7950bw (1 curve)	0	2- 3- 5- 53+	2- 3- 5-  3  3 -2 -4  5
Curve Equation t 7950bw1 [1,0,0,-263,-1983] 1
7950bx (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  4  4  4 -6 -6
Curve Equation t 7950bx1 [1,0,0,-2138,-30108] 2 7950bx2 [1,0,0,-32138,-2220108] 2
7950by (2 curves)	0	2- 3- 5- 53+	2- 3- 5-  4 -4  0 -2  6
Curve Equation t 7950by1 [1,0,0,-15528,743472] 2 7950by2 [1,0,0,-15828,713172] 2
7950bz (2 curves)	1	2- 3- 5- 53-	2- 3- 5- -2 -4  6  4 -6
Curve Equation t Generators 7950bz1 [1,0,0,-17428,-854128] 2 [-82:200:1] 7950bz2 [1,0,0,-46228,2688272] 2 [242:2264:1]

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