Cremona's table of elliptic curves

34122 = 2 · 3 · 11² · 47

Class	r	Atkin-Lehner	Eigenvalues
34122a (1 curve)	1	2+ 3+ 11+ 47+	2+ 3+  0  3 11+  3  0  0
Curve Equation t Generators 34122a1 [1,1,0,-1116370,453540916] 1 [820:9094:1]
34122b (4 curves)	0	2+ 3+ 11- 47+	2+ 3+  2  0 11- -2 -2  0
Curve Equation t 34122b1 [1,1,0,7016,116032] 2 34122b2 [1,1,0,-31704,944640] 4 34122b3 [1,1,0,-259184,-50238360] 2 34122b4 [1,1,0,-423744,105932952] 2
34122c (1 curve)	0	2+ 3+ 11- 47+	2+ 3+  2  2 11-  2 -4 -7
Curve Equation t 34122c1 [1,1,0,-244,-1580] 1
34122d (1 curve)	0	2+ 3+ 11- 47+	2+ 3+  2  2 11- -6  4 -3
Curve Equation t 34122d1 [1,1,0,-2408749,1564497565] 1
34122e (1 curve)	0	2+ 3+ 11- 47+	2+ 3+  2 -2 11-  0 -2 -1
Curve Equation t 34122e1 [1,1,0,526,-42060] 1
34122f (1 curve)	1	2+ 3+ 11- 47-	2+ 3+  2  4 11- -4  3  6
Curve Equation t Generators 34122f1 [1,1,0,-9628214,-21973508652] 1 [1934869501:-14004430134:493039]
34122g (1 curve)	1	2+ 3+ 11- 47-	2+ 3+ -4 -2 11-  0 -5  8
Curve Equation t Generators 34122g1 [1,1,0,-91962,15137940] 1 [83:-2885:1]
34122h (2 curves)	1	2+ 3+ 11- 47-	2+ 3+ -4  4 11-  2  6 -6
Curve Equation t Generators 34122h1 [1,1,0,-1817,-37275] 2 [77:497:1] 34122h2 [1,1,0,-30857,-2099115] 2 [1062:33591:1]
34122i (1 curve)	0	2+ 3- 11+ 47+	2+ 3-  0 -1 11+  3  0  8
Curve Equation t 34122i1 [1,0,1,-971,-192634] 1
34122j (2 curves)	1	2+ 3- 11+ 47-	2+ 3-  2 -2 11+ -4 -2  2
Curve Equation t Generators 34122j1 [1,0,1,-13610,-612196] 2 [333:5473:1] 34122j2 [1,0,1,-12730,-694564] 2 [169:1325:1]
34122k (1 curve)	1	2+ 3- 11- 47+	2+ 3-  0  2 11-  4  7 -4
Curve Equation t Generators 34122k1 [1,0,1,-37271,-2784454] 1 [230:792:1]
34122l (1 curve)	2	2+ 3- 11- 47-	2+ 3- -1 -2 11-  1 -3 -6
Curve Equation t Generators 34122l1 [1,0,1,-284474,128437868] 1 [-10257:-358853:27]&[252:-8657:1]
34122m (1 curve)	0	2- 3+ 11+ 47+	2- 3+  0 -3 11+ -3  0  0
Curve Equation t 34122m1 [1,1,1,-135080833,-604338363265] 1
34122n (1 curve)	1	2- 3+ 11- 47+	2- 3+  2  0 11-  4  1 -6
Curve Equation t Generators 34122n1 [1,1,1,1268,628013] 1 [61:-999:1]
34122o (1 curve)	1	2- 3+ 11- 47+	2- 3+  2  2 11-  0  2  1
Curve Equation t Generators 34122o1 [1,1,1,63583,56299871] 1 [-313:2576:1]
34122p (1 curve)	1	2- 3+ 11- 47+	2- 3+  2 -2 11- -2  4  7
Curve Equation t Generators 34122p1 [1,1,1,-29587,1955141] 1 [427:7996:1]
34122q (1 curve)	1	2- 3+ 11- 47+	2- 3+  2 -2 11-  6 -4  3
Curve Equation t Generators 34122q1 [1,1,1,-19907,-1184479] 1 [323:4958:1]
34122r (1 curve)	1	2- 3+ 11- 47+	2- 3+ -4  3 11-  1 -2  6
Curve Equation t Generators 34122r1 [1,1,1,-27530,-2114089] 1 [237:2059:1]
34122s (1 curve)	1	2- 3- 11+ 47+	2- 3-  0  1 11+ -3  0 -8
Curve Equation t Generators 34122s1 [1,0,0,-8,144] 1 [10:28:1]
34122t (2 curves)	0	2- 3- 11+ 47-	2- 3-  2  2 11+  4  2 -2
Curve Equation t 34122t1 [1,0,0,-1646752,813185792] 2 34122t2 [1,0,0,-1540272,922924080] 2
34122u (2 curves)	0	2- 3- 11- 47+	2- 3- -4  0 11-  6  2 -6
Curve Equation t 34122u1 [1,0,0,9980,-352384] 2 34122u2 [1,0,0,-55360,-3292684] 2
34122v (2 curves)	1	2- 3- 11- 47-	2- 3-  0 -2 11-  4 -3  4
Curve Equation t Generators 34122v1 [1,0,0,244295307,13285231064865] 1 [-9142:3212039:1] 34122v2 [1,0,0,-35747504988,2602190086818576] 1 [68408:21803876:1]
34122w (1 curve)	1	2- 3- 11- 47-	2- 3-  0  3 11- -1  2 -6
Curve Equation t Generators 34122w1 [1,0,0,7197,-19755] 1 [54:-753:1]
34122x (1 curve)	1	2- 3- 11- 47-	2- 3- -1  2 11- -1  3  6
Curve Equation t Generators 34122x1 [1,0,0,-2351,-96711] 1 [118:-1187:1]
34122y (1 curve)	1	2- 3- 11- 47-	2- 3- -2 -4 11-  0  5 -2
Curve Equation t Generators 34122y1 [1,0,0,106901,-28142575] 1 [428:-10015:1]
34122z (1 curve)	1	2- 3- 11- 47-	2- 3- -4  2 11- -4 -3  0
Curve Equation t Generators 34122z1 [1,0,0,905,-2089] 1 [190:1357:8]

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