Cremona's table of elliptic curves

52020 = 2² · 3² · 5 · 17²

Class	r	Atkin-Lehner	Eigenvalues
52020a (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0  0 -2 17+  0
Curve Equation t 52020a1 [0,0,0,-10608,-422807] 2 52020a2 [0,0,0,-169983,-26974682] 2
52020b (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  0  0 -2 17+  0
Curve Equation t 52020b1 [0,0,0,-27591408,56085771357] 2 52020b2 [0,0,0,-442125783,3578218541982] 2
52020c (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  1 -1  0 17+ -3
Curve Equation t 52020c1 [0,0,0,867,44217] 1
52020d (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+  1  3 -4 17+  5
Curve Equation t 52020d1 [0,0,0,18207,-28293967] 1 52020d2 [0,0,0,-6484293,-6356237967] 1
52020e (2 curves)	0	2- 3+ 5+ 17+	2- 3+ 5+ -4 -4  6 17+  4
Curve Equation t 52020e1 [0,0,0,31212,-1724463] 2 52020e2 [0,0,0,-163863,-15652818] 2
52020f (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+  5  5 -2 17+  5
Curve Equation t 52020f1 [0,0,0,-3213,-70227] 1
52020g (1 curve)	0	2- 3+ 5+ 17+	2- 3+ 5+ -5  5 -2 17+  5
Curve Equation t 52020g1 [0,0,0,-103173,12778713] 1
52020h (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  0 -2 17+  0
Curve Equation t Generators 52020h1 [0,0,0,-95472,11415789] 2 [183:270:1] 52020h2 [0,0,0,-1529847,728316414] 2 [-1122:32130:1]
52020i (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  0  0 -2 17+  0
Curve Equation t Generators 52020i1 [0,0,0,-3065712,-2077250791] 2 [5398:372375:1] 52020i2 [0,0,0,-49125087,-132526612666] 2 [219441:1923110:27]
52020j (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  1  1  0 17+ -3
Curve Equation t Generators 52020j1 [0,0,0,7803,-1193859] 1 [85:289:1]
52020k (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5-  1 -3 -4 17+  5
Curve Equation t Generators 52020k1 [0,0,0,-720477,235416221] 1 [1037:24565:1] 52020k2 [0,0,0,163863,763937109] 1 [748:36125:1]
52020l (2 curves)	1	2- 3+ 5- 17+	2- 3+ 5- -4  4  6 17+  4
Curve Equation t Generators 52020l1 [0,0,0,3468,63869] 2 [4114:93925:8] 52020l2 [0,0,0,-18207,579734] 2 [8398:1569270:2197]
52020m (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5-  5 -5 -2 17+  5
Curve Equation t Generators 52020m1 [0,0,0,-357,2601] 1 [0:51:1]
52020n (1 curve)	1	2- 3+ 5- 17+	2- 3+ 5- -5 -5 -2 17+  5
Curve Equation t Generators 52020n1 [0,0,0,-928557,-345025251] 1 [143055:1193859:125]
52020o (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0  2 -6 17+  4
Curve Equation t Generators 52020o1 [0,0,0,-408,-2023] 2 [-8:27:1] 52020o2 [0,0,0,-2703,52598] 2 [-17:306:1]
52020p (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  0 -2  2 17+  8
Curve Equation t Generators 52020p1 [0,0,0,-1145795988,-14927007495463] 2 [10084411394726:3187683556935957:90518849] 52020p2 [0,0,0,-1060470183,-17244097990882] 2 [118428371437848608026988473:37516493260454980730254286526:1064273155689427478731]
52020q (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  1  0  5 17+ -1
Curve Equation t Generators 52020q1 [0,0,0,-15708,-757843] 1 [2498:39825:8] 52020q2 [0,0,0,2652,-2390047] 1 [2704:140625:1]
52020r (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  1  3 -2 17+  1
Curve Equation t Generators 52020r1 [0,0,0,-16473,10223953] 1 [-187:2601:1]
52020s (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  1 -3 -4 17+ -7
Curve Equation t Generators 52020s1 [0,0,0,-16473,-1468987] 1 [1394:7803:8] 52020s2 [0,0,0,139587,28244837] 1 [1207:44217:1]
52020t (4 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -2  0  2 17+ -4
Curve Equation t Generators 52020t1 [0,0,0,-3468,-54043] 2 [-104741:119016:2197] 52020t2 [0,0,0,9537,-363562] 2 [4998:75140:27] 52020t3 [0,0,0,-107508,13564793] 2 [178:261:1] 52020t4 [0,0,0,-94503,16969502] 2 [-221:5202:1]
52020u (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+ -2 -1  0 17+  3
Curve Equation t Generators 52020u1 [0,0,0,-2448,42228] 1 [21:9:1]
52020v (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  3  3 -2 17+ -3
Curve Equation t Generators 52020v1 [0,0,0,-2461413,1574621413] 1 [2601:112999:1]
52020w (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+  4  2 -6 17+  0
Curve Equation t Generators 52020w1 [0,0,0,-72828,-7561107] 2 [120309:1087218:343] 52020w2 [0,0,0,-59823,-10346778] 2 [1262192778:11695352283:3652264]
52020x (1 curve)	1	2- 3- 5+ 17+	2- 3- 5+  4 -3  4 17+ -5
Curve Equation t Generators 52020x1 [0,0,0,-408,-2108] 1 [-16:18:1]
52020y (2 curves)	1	2- 3- 5+ 17+	2- 3- 5+ -5  3  2 17+ -7
Curve Equation t Generators 52020y1 [0,0,0,-224553,45931637] 1 [-68:7803:1] 52020y2 [0,0,0,-18795693,31364302133] 1 [2533:-2601:1]
52020z (1 curve)	0	2- 3- 5+ 17-	2- 3- 5+ -2  5  6 17-  7
Curve Equation t 52020z1 [0,0,0,-471648,124613332] 1
52020ba (1 curve)	2	2- 3- 5+ 17-	2- 3- 5+ -3 -4  1 17-  1
Curve Equation t Generators 52020ba1 [0,0,0,-3468,102017] 1 [-34:-425:1]&[-38:423:1]
52020bb (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0 -2 -6 17+  4
Curve Equation t 52020bb1 [0,0,0,-117912,-9938999] 2 52020bb2 [0,0,0,-781167,258413974] 2
52020bc (2 curves)	0	2- 3- 5- 17+	2- 3- 5-  0 -6  2 17+ -8
Curve Equation t 52020bc1 [0,0,0,-65892,6155989] 2 52020bc2 [0,0,0,51153,25655686] 2
52020bd (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  2 -5  6 17+  7
Curve Equation t 52020bd1 [0,0,0,-1632,25364] 1
52020be (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  3  3 -4 17+  1
Curve Equation t 52020be1 [0,0,0,-3200097,-2203986539] 1
52020bf (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  3  4  1 17+  1
Curve Equation t 52020bf1 [0,0,0,-1002252,501209521] 1
52020bg (1 curve)	0	2- 3- 5- 17+	2- 3- 5- -3  1 -2 17+  1
Curve Equation t 52020bg1 [0,0,0,77163,-7285979] 1
52020bh (1 curve)	2	2- 3- 5- 17+	2- 3- 5- -3 -3 -2 17+ -3
Curve Equation t Generators 52020bh1 [0,0,0,-8517,320501] 1 [-83:675:1]&[-68:765:1]
52020bi (1 curve)	0	2- 3- 5- 17+	2- 3- 5-  5 -5  0 17+  1
Curve Equation t 52020bi1 [0,0,0,-443037,-833279191] 1
52020bj (2 curves)	1	2- 3- 5- 17-	2- 3- 5- -1  0  5 17- -1
Curve Equation t Generators 52020bj1 [0,0,0,-4539612,-3723282659] 1 [3718608317:-1313603874990:29791] 52020bj2 [0,0,0,766428,-11742300911] 3 [3158:148905:1]
52020bk (1 curve)	1	2- 3- 5- 17-	2- 3- 5-  2  1  0 17-  3
Curve Equation t Generators 52020bk1 [0,0,0,-707472,207466164] 1 [-867:13005:1]
52020bl (1 curve)	1	2- 3- 5- 17-	2- 3- 5- -4  3  4 17- -5
Curve Equation t Generators 52020bl1 [0,0,0,-117912,-10356604] 1 [-200:2286:1]

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