Cremona's table of elliptic curves

14157 = 3² · 11² · 13

Class	r	Atkin-Lehner	Eigenvalues
14157a (1 curve)	0	3+ 11- 13+	0 3+  4  1 11- 13+ -8  5
Curve Equation t 14157a1 [0,0,1,-23958,1555606] 1
14157b (1 curve)	0	3+ 11- 13+	0 3+ -4  1 11- 13+  8  5
Curve Equation t 14157b1 [0,0,1,-215622,-42001369] 1
14157c (1 curve)	1	3+ 11- 13-	0 3+  4 -1 11- 13-  8 -5
Curve Equation t Generators 14157c1 [0,0,1,-198,-1169] 1 [25:97:1]
14157d (1 curve)	1	3+ 11- 13-	0 3+ -4 -1 11- 13- -8 -5
Curve Equation t Generators 14157d1 [0,0,1,-1782,31556] 1 [42:175:1]
14157e (2 curves)	1	3+ 11- 13-	1 3+  2  2 11- 13-  4 -6
Curve Equation t Generators 14157e1 [1,-1,0,1974,1886407] 2 [74:1523:1] 14157e2 [1,-1,0,-217641,38298574] 2 [750:34231:8]
14157f (2 curves)	1	3+ 11- 13-	-1 3+ -2  2 11- 13- -4 -6
Curve Equation t Generators 14157f1 [1,-1,1,17764,-50950754] 2 [598:12863:1] 14157f2 [1,-1,1,-1958771,-1032102728] 2 [7978:696782:1]
14157g (2 curves)	1	3- 11- 13+	0 3-  0  1 11- 13+  6  1
Curve Equation t Generators 14157g1 [0,0,1,-660,6597] 1 [5:58:1] 14157g2 [0,0,1,2310,33624] 1 [1426:19769:8]
14157h (1 curve)	1	3- 11- 13+	0 3- -2  3 11- 13+ -2  7
Curve Equation t Generators 14157h1 [0,0,1,-7986,-508775] 1 [121:544:1]
14157i (1 curve)	1	3- 11- 13+	0 3- -2 -5 11- 13+ -2 -1
Curve Equation t Generators 14157i1 [0,0,1,-3547236,2571480535] 1 [1081:364:1]
14157j (4 curves)	1	3- 11- 13+	1 3- -2  4 11- 13+  2  0
Curve Equation t Generators 14157j1 [1,-1,0,522,-9905] 2 [26:131:1] 14157j2 [1,-1,0,-4923,-113360] 4 [934:7093:8] 14157j3 [1,-1,0,-75708,-7998809] 2 [1377418:23899651:2744] 14157j4 [1,-1,0,-21258,1085629] 2 [36:587:1]
14157k (2 curves)	1	3- 11- 13+	-1 3-  0  0 11- 13+ -4  8
Curve Equation t Generators 14157k1 [1,-1,1,2155,48084] 2 [8:252:1] 14157k2 [1,-1,1,-14180,492396] 2 [14:537:1]
14157l (6 curves)	1	3- 11- 13+	-1 3-  2  0 11- 13+ -6  4
Curve Equation t Generators 14157l1 [1,-1,1,-26159,2342486] 2 [48:1069:1] 14157l2 [1,-1,1,-467204,123012398] 4 [411:334:1] 14157l3 [1,-1,1,-516209,95667608] 4 [9822:284795:8] 14157l4 [1,-1,1,-7474919,7867939016] 2 [413610:4963417:216] 14157l5 [1,-1,1,-3276824,-2209998040] 2 [5745:407680:1] 14157l6 [1,-1,1,1460326,650678636] 2 [341499270:20006401823:405224]
14157m (1 curve)	1	3- 11- 13+	-1 3-  2 -2 11- 13+ -7 -6
Curve Equation t Generators 14157m1 [1,-1,1,-20714,727620] 1 [-30:1164:1]
14157n (1 curve)	1	3- 11- 13+	2 3-  0  3 11- 13+  8 -1
Curve Equation t Generators 14157n1 [0,0,1,-1098075,-707054153] 1 [193651428670:-23144882542223:13481272]
14157o (1 curve)	1	3- 11- 13+	2 3-  2 -3 11- 13+  0  1
Curve Equation t Generators 14157o1 [0,0,1,-10659,-423657] 1 [1251044:174909235:64]
14157p (2 curves)	0	3- 11- 13-	0 3-  0 -1 11- 13- -6 -1
Curve Equation t 14157p1 [0,0,1,-79860,-8780940] 1 14157p2 [0,0,1,279510,-44753877] 3
14157q (1 curve)	0	3- 11- 13-	0 3-  1  2 11- 13- -4 -2
Curve Equation t 14157q1 [0,0,1,-1452,-77531] 1
14157r (1 curve)	2	3- 11- 13-	0 3- -2 -3 11- 13-  2 -7
Curve Equation t Generators 14157r1 [0,0,1,-66,382] 1 [-10:6:1]&[-2:22:1]
14157s (1 curve)	0	3- 11- 13-	0 3- -2  5 11- 13-  2  1
Curve Equation t 14157s1 [0,0,1,-429215556,-3422640592418] 1
14157t (1 curve)	0	3- 11- 13-	1 3-  2  2 11- 13-  7  6
Curve Equation t 14157t1 [1,-1,0,-171,-500] 1
14157u (1 curve)	2	3- 11- 13-	-2 3-  0 -3 11- 13- -8  1
Curve Equation t Generators 14157u1 [0,0,1,-9075,531220] 1 [-107:526:1]&[4521:-51994:27]
14157v (1 curve)	0	3- 11- 13-	-2 3-  2  3 11- 13-  0 -1
Curve Equation t 14157v1 [0,0,1,-1289739,563887134] 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
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