Cremona's table of elliptic curves

25270 = 2 · 5 · 7 · 19²

Class	r	Atkin-Lehner	Eigenvalues
25270a (1 curve)	1	2+ 5+ 7+ 19+	2+  1 5+ 7+  6  2 -3 19+
Curve Equation t Generators 25270a1 [1,0,1,11,-44] 1 [11:32:1]
25270b (1 curve)	0	2+ 5+ 7+ 19-	2+  0 5+ 7+ -1  1 -3 19-
Curve Equation t 25270b1 [1,-1,0,-1282520,-609369664] 1
25270c (4 curves)	0	2+ 5+ 7+ 19-	2+  0 5+ 7+  4  6  2 19-
Curve Equation t 25270c1 [1,-1,0,835,14581] 2 25270c2 [1,-1,0,-6385,160425] 4 25270c3 [1,-1,0,-31655,-2017849] 2 25270c4 [1,-1,0,-96635,11586075] 2
25270d (2 curves)	1	2+ 5+ 7- 19-	2+  0 5+ 7- -2 -2  7 19-
Curve Equation t Generators 25270d1 [1,-1,0,-676040,-716274760] 1 [1783:60299:1] 25270d2 [1,-1,0,-137513090,633685831956] 1 [70545867952816286161856935:-4222188192996170596768373503:14606253646711740352997]
25270e (1 curve)	1	2+ 5+ 7- 19-	2+  0 5+ 7- -5  1 -5 19-
Curve Equation t Generators 25270e1 [1,-1,0,6250,28660] 1 [423:8633:1]
25270f (2 curves)	1	2+ 5+ 7- 19-	2+ -1 5+ 7-  3  4 -6 19-
Curve Equation t Generators 25270f1 [1,1,0,-3065258,-2200468652] 1 [46304144:4837152363:4096] 25270f2 [1,1,0,17786102,-1128708748] 1 [781:114672:1]
25270g (2 curves)	1	2+ 5+ 7- 19-	2+  2 5+ 7-  0  4 -3 19-
Curve Equation t Generators 25270g1 [1,1,0,12,8] 1 [-2:19:8] 25270g2 [1,1,0,-178,882] 1 [9:6:1]
25270h (1 curve)	1	2+ 5- 7+ 19-	2+ -1 5- 7+ -5  0  2 19-
Curve Equation t Generators 25270h1 [1,1,0,-7,-49] 1 [7:-21:1]
25270i (1 curve)	1	2+ 5- 7+ 19-	2+  2 5- 7+  1  3 -7 19-
Curve Equation t Generators 25270i1 [1,1,0,-25277,-6223651] 1 [853:23941:1]
25270j (1 curve)	1	2+ 5- 7- 19+	2+  1 5- 7-  2  6 -5 19+
Curve Equation t Generators 25270j1 [1,0,1,-10363,889498] 1 [-103:982:1]
25270k (2 curves)	1	2+ 5- 7- 19+	2+ -2 5- 7- -4  0 -2 19+
Curve Equation t Generators 25270k1 [1,0,1,-7038,-170512] 2 [-46:260:1] 25270k2 [1,0,1,17282,-1084944] 2 [85:957:1]
25270l (2 curves)	0	2+ 5- 7- 19-	2+  2 5- 7- -3  7  3 19-
Curve Equation t 25270l1 [1,1,0,-590242,-182923404] 1 25270l2 [1,1,0,3164158,-358687084] 1
25270m (1 curve)	0	2- 5+ 7+ 19+	2- -1 5+ 7+  6 -2 -3 19+
Curve Equation t 25270m1 [1,1,1,4144,308373] 1
25270n (1 curve)	1	2- 5+ 7+ 19-	2-  1 5+ 7+  0 -4  7 19-
Curve Equation t Generators 25270n1 [1,0,0,908449,-668734375] 1 [1094:39885:1]
25270o (1 curve)	1	2- 5+ 7+ 19-	2- -2 5+ 7+ -3 -1 -5 19-
Curve Equation t Generators 25270o1 [1,0,0,-147476,-21811184] 1 [448:1220:1]
25270p (2 curves)	1	2- 5+ 7- 19+	2-  0 5+ 7- -2  2  7 19+
Curve Equation t Generators 25270p1 [1,-1,1,-1873,104921] 1 [-7:346:1] 25270p2 [1,-1,1,-380923,-92287253] 1 [715:346:1]
25270q (2 curves)	1	2- 5+ 7- 19+	2-  1 5+ 7-  3 -4 -6 19+
Curve Equation t Generators 25270q1 [1,0,0,-8491,319921] 3 [-84:707:1] 25270q2 [1,0,0,49269,169745] 1 [1018:32741:1]
25270r (2 curves)	1	2- 5+ 7- 19+	2- -2 5+ 7-  0 -4 -3 19+
Curve Equation t Generators 25270r1 [1,0,0,4144,-21224] 3 [404306:5142327:2744] 25270r2 [1,0,0,-64446,-6564710] 1 [11070:398785:8]
25270s (4 curves)	0	2- 5+ 7- 19-	2-  0 5+ 7-  4 -2 -2 19-
Curve Equation t 25270s1 [1,-1,1,-12703,-80633] 2 25270s2 [1,-1,1,-128223,17617031] 4 25270s3 [1,-1,1,-56023,37284311] 2 25270s4 [1,-1,1,-2048743,1129214007] 2
25270t (2 curves)	0	2- 5+ 7- 19-	2- -1 5+ 7-  0  4  3 19-
Curve Equation t 25270t1 [1,1,1,-124011,-16862231] 1 25270t2 [1,1,1,14974,-51729777] 1
25270u (2 curves)	0	2- 5+ 7- 19-	2-  2 5+ 7- -3 -5 -3 19-
Curve Equation t 25270u1 [1,1,1,-1271,-86561] 1 25270u2 [1,1,1,11364,2243333] 1
25270v (1 curve)	1	2- 5- 7+ 19+	2-  1 5- 7+ -5  0  2 19+
Curve Equation t Generators 25270v1 [1,0,0,-2715,314867] 1 [62:4309:8]
25270w (1 curve)	0	2- 5- 7+ 19-	2-  3 5- 7+  0  4  1 19-
Curve Equation t 25270w1 [1,-1,1,-6927,-877721] 1
25270x (1 curve)	0	2- 5- 7- 19+	2- -1 5- 7-  2 -6 -5 19+
Curve Equation t 25270x1 [1,1,1,-3740870,-6108550233] 1
25270y (2 curves)	0	2- 5- 7- 19+	2-  2 5- 7- -4  0 -2 19+
Curve Equation t 25270y1 [1,1,1,-2540545,1164459007] 2 25270y2 [1,1,1,6238975,7454107135] 2

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