Cremona's table of elliptic curves

128673 = 3² · 17 · 29²

Class	r	Atkin-Lehner	Eigenvalues
128673a (1 curve)	1	3+ 17+ 29+	0 3+  1  4 -1 -1 17+  7
Curve Equation t Generators 128673a1 [0,0,1,90828,-16627201] 1 [1714161:31933966:6859]
128673b (1 curve)	1	3+ 17+ 29+	-2 3+  1 -2 -3 -5 17+  1
Curve Equation t Generators 128673b1 [0,0,1,-22707,-1481632] 1 [522:11353:1]
128673c (1 curve)	0	3+ 17- 29+	0 3+ -1  4  1 -1 17-  7
Curve Equation t 128673c1 [0,0,1,10092,615822] 1
128673d (1 curve)	2	3+ 17- 29+	2 3+ -1 -2  3 -5 17-  1
Curve Equation t Generators 128673d1 [0,0,1,-2523,54875] 1 [-174:2519:8]&[290:837:8]
128673e (2 curves)	2	3- 17+ 29+	0 3- -3 -4 -3 -1 17+  1
Curve Equation t Generators 128673e1 [0,0,1,5046,664600] 1 [-58:420:1]&[232:3784:1] 128673e2 [0,0,1,-449094,115902625] 1 [-2030:116895:8]&[-29:11353:1]
128673f (1 curve)	2	3- 17+ 29+	1 3-  2 -3 -3  3 17+ -4
Curve Equation t Generators 128673f1 [1,-1,0,-1071,13770] 1 [-30:150:1]&[18:-18:1]
128673g (4 curves)	0	3- 17+ 29+	1 3- -2  0  4 -2 17+ -8
Curve Equation t 128673g1 [1,-1,0,382077,-763328696] 2 128673g2 [1,-1,0,-10555128,-12638945885] 4 128673g3 [1,-1,0,-29212713,44367439324] 2 128673g4 [1,-1,0,-166892823,-829816077650] 2
128673h (1 curve)	0	3- 17+ 29+	1 3-  4  3 -5 -5 17+ -2
Curve Equation t 128673h1 [1,-1,0,-132615,330134458] 1
128673i (1 curve)	2	3- 17+ 29+	-2 3- -1  0 -3  3 17+ -1
Curve Equation t Generators 128673i1 [0,0,1,148857,54759402] 1 [348:12194:1]&[986:34060:1]
128673j (1 curve)	1	3- 17+ 29-	0 3-  0 -1  6 -2 17+  3
Curve Equation t Generators 128673j1 [0,0,1,-1463340,822037342] 1 [84100:2187409:64]
128673k (1 curve)	1	3- 17- 29+	0 3-  0 -1 -6 -2 17- -3
Curve Equation t Generators 128673k1 [0,0,1,-1740,33705] 1 [23:-77:1]
128673l (1 curve)	1	3- 17- 29+	0 3- -1 -2  1 -1 17- -5
Curve Equation t Generators 128673l1 [0,0,1,-46741098,-156464160165] 1 [23925:3524210:1]
128673m (1 curve)	1	3- 17- 29+	0 3-  3  2 -3  7 17-  3
Curve Equation t Generators 128673m1 [0,0,1,-131196,-19431936] 1 [34742:6475279:1]
128673n (1 curve)	1	3- 17- 29+	1 3-  2  1  0 -1 17-  1
Curve Equation t Generators 128673n1 [1,-1,0,64179,943510] 1 [72239398:16793483680:1331]
128673o (1 curve)	1	3- 17- 29+	-1 3- -1 -2  3  1 17-  4
Curve Equation t Generators 128673o1 [1,-1,1,-429068,-136923092] 1 [719964:14253695:729]
128673p (4 curves)	1	3- 17- 29+	-1 3-  2  4  0 -2 17-  4
Curve Equation t Generators 128673p1 [1,-1,1,-5204,-60434] 2 [-2307760:11767918:42875] 128673p2 [1,-1,1,-43049,3406168] 4 [66018:3219545:27] 128673p3 [1,-1,1,-5204,9158608] 2 [9766:960164:1] 128673p4 [1,-1,1,-686414,219062116] 2 [131541215:-62119604:274625]
128673q (1 curve)	1	3- 17- 29+	-1 3-  2 -5  0  7 17- -5
Curve Equation t Generators 128673q1 [1,-1,1,-58589264,-526621213160] 1 [1927022996854646684373347020:219900530219617680683173161497:106980480803975110030243]
128673r (2 curves)	1	3- 17- 29+	-2 3- -1 -2 -3 -1 17- -5
Curve Equation t Generators 128673r1 [0,0,1,-45946353,-121082672030] 1 [16327:-1865759:1] 128673r2 [0,0,1,297610557,4199006504380] 1 [36129605050:10401673588195:3652264]
128673s (1 curve)	1	3- 17- 29+	-2 3-  3 -2  5 -1 17-  7
Curve Equation t Generators 128673s1 [0,0,1,-2061291,4917047998] 1 [108808:35888413:1]
128673t (1 curve)	0	3- 17- 29-	-1 3-  2 -3  3  3 17-  4
Curve Equation t 128673t1 [1,-1,1,-900869,329530830] 1
128673u (1 curve)	0	3- 17- 29-	-1 3-  4  3  5 -5 17-  2
Curve Equation t 128673u1 [1,-1,1,-158,13574] 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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