Cremona's table of elliptic curves

25840 = 2⁴ · 5 · 17 · 19

Class	r	Atkin-Lehner	Eigenvalues
25840a (2 curves)	0	2+ 5+ 17+ 19-	2+  2 5+  4  0 -2 17+ 19-
Curve Equation t 25840a1 [0,-1,0,-116,416] 2 25840a2 [0,-1,0,264,2240] 2
25840b (1 curve)	0	2+ 5+ 17+ 19-	2+ -2 5+ -1  2 -1 17+ 19-
Curve Equation t 25840b1 [0,1,0,-76,-285] 1
25840c (1 curve)	0	2+ 5+ 17- 19+	2+  1 5+ -2  2 -6 17- 19+
Curve Equation t 25840c1 [0,1,0,-361,-2765] 1
25840d (2 curves)	2	2+ 5- 17+ 19+	2+  0 5- -2 -6 -2 17+ 19+
Curve Equation t Generators 25840d1 [0,0,0,-167,774] 2 [-10:38:1]&[-7:40:1] 25840d2 [0,0,0,-547,-4014] 2 [-14:30:1]&[-13:30:1]
25840e (2 curves)	0	2+ 5- 17+ 19+	2+  2 5-  4  4 -2 17+ 19+
Curve Equation t 25840e1 [0,-1,0,-135,-658] 2 25840e2 [0,-1,0,-2260,-40608] 2
25840f (2 curves)	0	2+ 5- 17+ 19+	2+ -2 5-  4  4  0 17+ 19+
Curve Equation t 25840f1 [0,1,0,-475,3828] 2 25840f2 [0,1,0,-380,5500] 2
25840g (2 curves)	1	2+ 5- 17+ 19-	2+  0 5-  0  0  4 17+ 19-
Curve Equation t Generators 25840g1 [0,0,0,-22,-21] 2 [420:693:64] 25840g2 [0,0,0,73,-154] 2 [22:110:1]
25840h (2 curves)	1	2+ 5- 17+ 19-	2+  0 5- -2 -2  2 17+ 19-
Curve Equation t Generators 25840h1 [0,0,0,-2213567,-1267614274] 2 [1742:12750:1] 25840h2 [0,0,0,-2213947,-1267157286] 2 [3843:216750:1]
25840i (1 curve)	1	2+ 5- 17+ 19-	2+  0 5-  3 -2 -3 17+ 19-
Curve Equation t Generators 25840i1 [0,0,0,-167,841] 1 [0:29:1]
25840j (1 curve)	1	2+ 5- 17+ 19-	2+  1 5- -4 -2  6 17+ 19-
Curve Equation t Generators 25840j1 [0,1,0,-58785,5862683] 1 [46:1805:1]
25840k (2 curves)	1	2+ 5- 17+ 19-	2+ -2 5-  0  4  0 17+ 19-
Curve Equation t Generators 25840k1 [0,1,0,-9755,681628] 2 [-24:950:1] 25840k2 [0,1,0,-190380,31893628] 2 [-114:7220:1]
25840l (4 curves)	1	2+ 5- 17- 19+	2+  0 5- -4  4  6 17- 19+
Curve Equation t Generators 25840l1 [0,0,0,-43922,3412319] 2 [2221080:9804223:13824] 25840l2 [0,0,0,-695527,223263846] 4 [17094:163540:27] 25840l3 [0,0,0,-688307,228125794] 4 [-197:18870:1] 25840l4 [0,0,0,-11128427,14288899626] 4 [6243916500:17132583:3241792]
25840m (1 curve)	1	2+ 5- 17- 19+	2+ -3 5- -4  1  0 17- 19+
Curve Equation t Generators 25840m1 [0,0,0,-2947,-280286] 1 [93:500:1]
25840n (1 curve)	0	2+ 5- 17- 19-	2+  2 5-  1  6  1 17- 19-
Curve Equation t 25840n1 [0,-1,0,200,1887] 1
25840o (1 curve)	0	2+ 5- 17- 19-	2+ -2 5-  5  2 -5 17- 19-
Curve Equation t 25840o1 [0,1,0,-3320,-91865] 1
25840p (2 curves)	0	2- 5+ 17+ 19+	2-  0 5+  2 -2  2 17+ 19+
Curve Equation t 25840p1 [0,0,0,-1049483,412986682] 2 25840p2 [0,0,0,-1438603,79043898] 2
25840q (2 curves)	0	2- 5+ 17+ 19+	2- -1 5+  4  3 -4 17+ 19+
Curve Equation t 25840q1 [0,-1,0,264,2800] 1 25840q2 [0,-1,0,-10376,411376] 1
25840r (2 curves)	1	2- 5+ 17+ 19-	2-  0 5+  2  0  4 17+ 19-
Curve Equation t Generators 25840r1 [0,0,0,-488,4147] 2 [9:22:1] 25840r2 [0,0,0,-583,2418] 2 [34:33:8]
25840s (2 curves)	1	2- 5+ 17+ 19-	2-  0 5+ -2 -2 -2 17+ 19-
Curve Equation t Generators 25840s1 [0,0,0,-1763,20962] 2 [-9:190:1] 25840s2 [0,0,0,-26083,1621218] 2 [111:306:1]
25840t (1 curve)	1	2- 5+ 17+ 19-	2- -3 5+ -4  3  4 17+ 19-
Curve Equation t Generators 25840t1 [0,0,0,-31003,2381002] 1 [-131:2048:1]
25840u (1 curve)	1	2- 5+ 17- 19+	2-  0 5+ -1 -2 -1 17- 19+
Curve Equation t Generators 25840u1 [0,0,0,-331013,73541687] 1 [334:493:1]
25840v (4 curves)	1	2- 5+ 17- 19+	2-  0 5+  4 -4 -2 17- 19+
Curve Equation t Generators 25840v1 [0,0,0,-11243,22042] 2 [-9:350:1] 25840v2 [0,0,0,-126763,17326938] 4 [1047:32130:1] 25840v3 [0,0,0,-75083,31580282] 2 [129355:4073706:125] 25840v4 [0,0,0,-2026763,1110586938] 4 [25738101:519364790:19683]
25840w (1 curve)	1	2- 5+ 17- 19+	2-  0 5+ -5  2  1 17- 19+
Curve Equation t Generators 25840w1 [0,0,0,7,3] 1 [2:5:1]
25840x (2 curves)	1	2- 5+ 17- 19+	2- -1 5+ -2 -6  2 17- 19+
Curve Equation t Generators 25840x1 [0,-1,0,-141,-1295] 1 [33:-170:1] 25840x2 [0,-1,0,1219,28081] 1 [21:-250:1]
25840y (2 curves)	1	2- 5+ 17- 19+	2-  2 5+  2  4 -2 17- 19+
Curve Equation t Generators 25840y1 [0,-1,0,-361,0] 2 [33708:901:1728] 25840y2 [0,-1,0,1444,-1444] 2 [314:2703:8]
25840z (1 curve)	1	2- 5- 17+ 19+	2-  1 5- -4  2 -2 17+ 19+
Curve Equation t Generators 25840z1 [0,1,0,-4885,134275] 1 [30:125:1]
25840ba (1 curve)	1	2- 5- 17+ 19+	2- -1 5- -4  5  4 17+ 19+
Curve Equation t Generators 25840ba1 [0,-1,0,6480,349120] 1 [72:1088:1]
25840bb (2 curves)	0	2- 5- 17+ 19-	2-  2 5-  4  4 -6 17+ 19-
Curve Equation t 25840bb1 [0,-1,0,-3440,-76288] 2 25840bb2 [0,-1,0,-1920,-145600] 2
25840bc (1 curve)	0	2- 5- 17- 19+	2-  2 5-  3  2  1 17- 19+
Curve Equation t 25840bc1 [0,-1,0,30,-193] 1
25840bd (4 curves)	1	2- 5- 17- 19-	2-  0 5- -4  0 -2 17- 19-
Curve Equation t Generators 25840bd1 [0,0,0,-51227,-4462646] 2 [8751:97280:27] 25840bd2 [0,0,0,-52507,-4227894] 4 [-118:570:1] 25840bd3 [0,0,0,63013,-20238966] 4 [215:1802:1] 25840bd4 [0,0,0,-188507,26807306] 4 [157:1040:1]
25840be (1 curve)	1	2- 5- 17- 19-	2- -1 5-  2 -2 -2 17- 19-
Curve Equation t Generators 25840be1 [0,-1,0,-5,-275] 1 [20:85:1]

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