Cremona's table of elliptic curves

17290 = 2 · 5 · 7 · 13 · 19

Class	r	Atkin-Lehner	Eigenvalues
17290a (4 curves)	1	2+ 5+ 7+ 13+ 19+	2+  0 5+ 7+ -4 13+  2 19+
Curve Equation t Generators 17290a1 [1,-1,0,-308735,66081341] 2 [310:149:1] 17290a2 [1,-1,0,-356755,44193825] 4 [-2322:89967:8] 17290a3 [1,-1,0,-2656325,-1634952189] 2 [-184998:818773:216] 17290a4 [1,-1,0,1174495,321962575] 2 [241765438:-16854881045:551368]
17290b (4 curves)	0	2+ 5+ 7+ 13+ 19-	2+  0 5+ 7+  0 13+  6 19-
Curve Equation t 17290b1 [1,-1,0,-4670,-79724] 2 17290b2 [1,-1,0,-67390,-6715500] 4 17290b3 [1,-1,0,-1078190,-430645020] 2 17290b4 [1,-1,0,-60110,-8228284] 2
17290c (1 curve)	2	2+ 5+ 7- 13+ 19+	2+ -1 5+ 7- -3 13+  4 19+
Curve Equation t Generators 17290c1 [1,1,0,-3003,62107] 1 [-53:302:1]&[-9:302:1]
17290d (1 curve)	2	2+ 5+ 7- 13+ 19+	2+ -1 5+ 7- -6 13+ -5 19+
Curve Equation t Generators 17290d1 [1,1,0,32,-1792] 1 [11:1:1]&[16:48:1]
17290e (2 curves)	1	2+ 5+ 7- 13- 19+	2+  0 5+ 7- -6 13-  0 19+
Curve Equation t Generators 17290e1 [1,-1,0,-470,4020] 2 [11:4:1] 17290e2 [1,-1,0,-190,8556] 2 [-7:101:1]
17290f (2 curves)	0	2+ 5+ 7- 13- 19-	2+  0 5+ 7- -2 13-  4 19-
Curve Equation t 17290f1 [1,-1,0,-246995,-34367179] 2 17290f2 [1,-1,0,631085,-224208075] 2
17290g (2 curves)	0	2+ 5- 7+ 13- 19-	2+  0 5- 7+  0 13-  4 19-
Curve Equation t 17290g1 [1,-1,0,-6034,-178860] 2 17290g2 [1,-1,0,-5234,-228620] 2
17290h (1 curve)	2	2+ 5- 7- 13+ 19-	2+ -3 5- 7- -2 13+ -7 19-
Curve Equation t Generators 17290h1 [1,-1,0,-38764,3622048] 1 [232:-2776:1]&[-148:2544:1]
17290i (1 curve)	1	2- 5+ 7+ 13+ 19-	2- -1 5+ 7+ -5 13+  4 19-
Curve Equation t Generators 17290i1 [1,1,1,-566391,-260512691] 1 [1259:31370:1]
17290j (1 curve)	0	2- 5+ 7+ 13- 19-	2-  3 5+ 7+ -2 13-  3 19-
Curve Equation t 17290j1 [1,-1,1,-18573,-969803] 1
17290k (2 curves)	0	2- 5+ 7- 13- 19+	2-  0 5+ 7-  0 13-  0 19+
Curve Equation t 17290k1 [1,-1,1,-820458,-192586519] 2 17290k2 [1,-1,1,2304542,-1310086519] 2
17290l (2 curves)	0	2- 5+ 7- 13- 19+	2-  0 5+ 7-  0 13-  4 19+
Curve Equation t 17290l1 [1,-1,1,-33,77] 2 17290l2 [1,-1,1,17,257] 2
17290m (1 curve)	2	2- 5+ 7- 13- 19+	2- -3 5+ 7- -5 13- -8 19+
Curve Equation t Generators 17290m1 [1,-1,1,-8628,702231] 1 [-105:717:1]&[-67:1021:1]
17290n (1 curve)	1	2- 5- 7+ 13+ 19+	2- -1 5- 7+ -1 13+  0 19+
Curve Equation t Generators 17290n1 [1,1,1,45,-23] 1 [5:16:1]

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