Cremona's table of elliptic curves

3536 = 2⁴ · 13 · 17

Class	r	Atkin-Lehner	Eigenvalues
3536a (2 curves)	1	2+ 13+ 17+	2+  2  2 -2 -4 13+ 17+ -4
Curve Equation t Generators 3536a1 [0,-1,0,-1672,-25728] 2 [48:48:1] 3536a2 [0,-1,0,-2192,-7840] 2 [88826:9359265:8]
3536b (2 curves)	0	2+ 13+ 17-	2+  0  0  2 -6 13+ 17-  8
Curve Equation t 3536b1 [0,0,0,-10,3] 2 3536b2 [0,0,0,-95,-354] 2
3536c (2 curves)	0	2+ 13+ 17-	2+  0  4 -2  2 13+ 17- -4
Curve Equation t 3536c1 [0,0,0,-23,-10] 2 3536c2 [0,0,0,-283,-1830] 2
3536d (2 curves)	0	2+ 13+ 17-	2+  2  2 -2  2 13+ 17-  8
Curve Equation t 3536d1 [0,-1,0,-1412,18752] 2 3536d2 [0,-1,0,1968,91760] 2
3536e (4 curves)	1	2+ 13- 17-	2+  0  2  0 -4 13- 17- -4
Curve Equation t Generators 3536e1 [0,0,0,-74,-245] 2 [147480:185345:13824] 3536e2 [0,0,0,-79,-210] 4 [894:4940:27] 3536e3 [0,0,0,-419,3122] 4 [-11:80:1] 3536e4 [0,0,0,181,-1302] 2 [74:646:1]
3536f (2 curves)	0	2- 13+ 17+	2-  0  2 -4  2 13+ 17+  0
Curve Equation t 3536f1 [0,0,0,-1499,-21622] 2 3536f2 [0,0,0,581,-76950] 2
3536g (2 curves)	2	2- 13+ 17+	2- -2 -2 -2 -4 13+ 17+  4
Curve Equation t Generators 3536g1 [0,1,0,-144,532] 2 [-12:26:1]&[-1:26:1] 3536g2 [0,1,0,-2224,39636] 2 [-22:280:1]&[10:136:1]
3536h (2 curves)	0	2- 13+ 17+	2- -2  4  4  2 13+ 17+  4
Curve Equation t 3536h1 [0,1,0,-2319216,-485927468] 2 3536h2 [0,1,0,-30008176,-63229110828] 2
3536i (2 curves)	1	2- 13+ 17-	2-  0  4  2 -6 13+ 17- -8
Curve Equation t Generators 3536i1 [0,0,0,-11723,-487750] 2 [325:5480:1] 3536i2 [0,0,0,-187483,-31245750] 2 [62595:83022:125]
3536j (2 curves)	1	2- 13+ 17-	2-  0 -4  2  2 13+ 17-  0
Curve Equation t Generators 3536j1 [0,0,0,-2747,32490] 2 [71:442:1] 3536j2 [0,0,0,-19387,-1015830] 2 [-73:102:1]
3536k (2 curves)	1	2- 13+ 17-	2- -2  2 -2 -2 13+ 17-  4
Curve Equation t Generators 3536k1 [0,1,0,-872,9268] 2 [12:26:1] 3536k2 [0,1,0,408,35380] 2 [-12:170:1]
3536l (2 curves)	1	2- 13+ 17-	2- -2  2 -2  6 13+ 17- -4
Curve Equation t Generators 3536l1 [0,1,0,-952,-11628] 2 [54:312:1] 3536l2 [0,1,0,-872,-13580] 2 [188:2550:1]

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