Cremona's table of elliptic curves

129712 = 2⁴ · 11² · 67

Class	r	Atkin-Lehner	Eigenvalues
129712a (2 curves)	1	2+ 11+ 67+	2+  0  0  0 11+  2  4 -6
Curve Equation t Generators 129712a1 [0,0,0,-275,-1694] 2 [25:84:1] 129712a2 [0,0,0,-715,5082] 2 [33:132:1]
129712b (2 curves)	1	2+ 11+ 67+	2+  0  0  0 11+ -2 -4  6
Curve Equation t Generators 129712b1 [0,0,0,-33275,2254714] 2 [-167:1776:1] 129712b2 [0,0,0,-86515,-6764142] 2 [-44058:334369:216]
129712c (1 curve)	0	2+ 11- 67+	2+  0  2  4 11- -4 -5  5
Curve Equation t 129712c1 [0,0,0,-5324,175692] 1
129712d (1 curve)	0	2+ 11- 67+	2+  0  2 -4 11-  4  5 -5
Curve Equation t 129712d1 [0,0,0,-44,-132] 1
129712e (1 curve)	0	2+ 11- 67+	2+ -2  2  2 11-  4 -7 -4
Curve Equation t 129712e1 [0,1,0,-777,8083] 1
129712f (1 curve)	0	2+ 11- 67+	2+ -2  2 -2 11- -4  7  4
Curve Equation t 129712f1 [0,1,0,-94057,-11134653] 1
129712g (1 curve)	0	2+ 11- 67+	2+ -2  4  4 11- -4  2 -5
Curve Equation t 129712g1 [0,1,0,444,92332] 1
129712h (1 curve)	0	2+ 11- 67+	2+ -2  4 -4 11-  4 -2  5
Curve Equation t 129712h1 [0,1,0,4,-68] 1
129712i (1 curve)	1	2+ 11- 67-	2+  0  0  2 11-  6  6 -1
Curve Equation t Generators 129712i1 [0,0,0,-13310,-1654433] 1 [1706190195:16065228242:8615125]
129712j (1 curve)	1	2+ 11- 67-	2+  0  0 -2 11- -6 -6  1
Curve Equation t Generators 129712j1 [0,0,0,-110,1243] 1 [27:134:1]
129712k (1 curve)	1	2+ 11- 67-	2+  2  0  4 11-  0  2 -3
Curve Equation t Generators 129712k1 [0,-1,0,-403,3258] 1 [-18:66:1]
129712l (1 curve)	1	2+ 11- 67-	2+  2  0 -4 11-  0 -2  3
Curve Equation t Generators 129712l1 [0,-1,0,-48803,-4141234] 1 [5924103241635299826333345110:139143899946101501511044814738:9268492183994147444408375]
129712m (1 curve)	1	2- 11- 67+	2-  2  2 -2 11- -2 -3  7
Curve Equation t Generators 129712m1 [0,-1,0,-23877,-1412563] 1 [1386806587600924532:94916466668547960843:295661195054659]
129712n (2 curves)	1	2- 11- 67+	2-  2  3  1 11-  2 -3  4
Curve Equation t Generators 129712n1 [0,-1,0,-2944,-59904] 1 [-6040125:3981744:205379] 129712n2 [0,-1,0,-22304,1256576] 1 [-95:1584:1]
129712o (2 curves)	1	2- 11- 67+	2-  2  3 -1 11- -2  3 -4
Curve Equation t Generators 129712o1 [0,-1,0,-356264,81157232] 1 [1288140:2689424:3375] 129712o2 [0,-1,0,-2698824,-1661707408] 1 [63225936385119780:3200942181526363448:18181073622375]
129712p (1 curve)	1	2- 11- 67+	2- -2 -1  4 11-  1 -3  6
Curve Equation t Generators 129712p1 [0,1,0,53684,6805896] 1 [-236235:5556176:3375]
129712q (1 curve)	1	2- 11- 67+	2- -2 -1 -4 11- -1  3 -6
Curve Equation t Generators 129712q1 [0,1,0,444,-4952] 1 [23:134:1]
129712r (1 curve)	1	2- 11- 67+	2- -2 -2 -2 11-  2 -7  3
Curve Equation t Generators 129712r1 [0,1,0,785371,-46631213] 1 [27280898:1386824197:12167]
129712s (1 curve)	0	2- 11- 67-	2-  0  0  2 11- -4  3 -5
Curve Equation t 129712s1 [0,0,0,-9680,-378004] 1
129712t (1 curve)	0	2- 11- 67-	2-  0 -2  2 11-  4 -2  7
Curve Equation t 129712t1 [0,0,0,-1331,-30734] 1
129712u (1 curve)	0	2- 11- 67-	2-  0 -2 -2 11- -4  2 -7
Curve Equation t 129712u1 [0,0,0,-161051,40906954] 1
129712v (1 curve)	0	2- 11- 67-	2-  0 -3  5 11-  2  3  4
Curve Equation t 129712v1 [0,0,0,-539,4554] 1
129712w (1 curve)	2	2- 11- 67-	2-  0 -3 -5 11- -2 -3 -4
Curve Equation t Generators 129712w1 [0,0,0,-65219,-6061374] 1 [-127:416:1]&[-121:242:1]
129712x (2 curves)	0	2- 11- 67-	2-  0  4  4 11-  2  2  8
Curve Equation t 129712x1 [0,0,0,-24563,-1184590] 2 129712x2 [0,0,0,52877,-7147470] 2
129712y (1 curve)	0	2- 11- 67-	2- -2  2  2 11-  6 -3  1
Curve Equation t 129712y1 [0,1,0,323,-7977] 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