Cremona's table of elliptic curves

58480 = 2⁴ · 5 · 17 · 43

Class	r	Atkin-Lehner	Eigenvalues
58480a (4 curves)	1	2+ 5+ 17- 43-	2+  0 5+  4  4 -2 17-  4
Curve Equation t Generators 58480a1 [0,0,0,262,-813] 2 [1091:36040:1] 58480a2 [0,0,0,-1183,-6882] 4 [-64779:106848:2197] 58480a3 [0,0,0,-9683,362018] 4 [-107:416:1] 58480a4 [0,0,0,-15803,-764198] 2 [-24029107882:-5384651832:327082769]
58480b (2 curves)	0	2- 5+ 17+ 43+	2-  2 5+  1  0  5 17+ -2
Curve Equation t 58480b1 [0,-1,0,-1096,-7824] 1 58480b2 [0,-1,0,-38936,2969840] 1
58480c (1 curve)	0	2- 5+ 17+ 43+	2- -3 5+ -4  0  5 17+ -7
Curve Equation t 58480c1 [0,0,0,1708157,-1593270398] 1
58480d (1 curve)	1	2- 5+ 17+ 43-	2-  0 5+ -1  4  5 17+  8
Curve Equation t Generators 58480d1 [0,0,0,-7043,215938] 1 [-63:640:1]
58480e (1 curve)	1	2- 5+ 17+ 43-	2-  1 5+  4  0 -7 17+ -3
Curve Equation t Generators 58480e1 [0,1,0,-1096,15220] 1 [126:1376:1]
58480f (4 curves)	1	2- 5+ 17- 43+	2-  0 5+  0 -4  2 17-  0
Curve Equation t Generators 58480f1 [0,0,0,877,6482] 2 [452:7305:64] 58480f2 [0,0,0,-4243,56658] 4 [82:510:1] 58480f3 [0,0,0,-31763,-2139438] 2 [-97:170:1] 58480f4 [0,0,0,-58643,5464018] 2 [4134:7370:27]
58480g (1 curve)	1	2- 5+ 17- 43+	2- -2 5+ -3  0 -1 17-  6
Curve Equation t Generators 58480g1 [0,1,0,-6056,158644] 1 [-18:512:1]
58480h (1 curve)	0	2- 5+ 17- 43-	2-  0 5+ -1  4 -1 17-  8
Curve Equation t 58480h1 [0,0,0,-1172391683,15435735194882] 1
58480i (1 curve)	0	2- 5+ 17- 43-	2-  3 5+ -4  4 -1 17-  5
Curve Equation t 58480i1 [0,0,0,24197,-233302] 1
58480j (1 curve)	1	2- 5- 17+ 43+	2-  2 5-  3  2  1 17+ -3
Curve Equation t Generators 58480j1 [0,-1,0,-43400,3571952] 1 [202:1734:1]
58480k (1 curve)	1	2- 5- 17- 43-	2-  0 5-  5  4  1 17- -4
Curve Equation t Generators 58480k1 [0,0,0,-707,-3006] 1 [-7:40:1]
58480l (2 curves)	1	2- 5- 17- 43-	2- -2 5-  0  0 -2 17- -4
Curve Equation t Generators 58480l1 [0,1,0,-600,1300] 2 [-10:80:1] 58480l2 [0,1,0,-7480,246228] 2 [-34:680:1]
58480m (2 curves)	1	2- 5- 17- 43-	2- -2 5-  2  2  2 17-  0
Curve Equation t Generators 58480m1 [0,1,0,-31080,672628] 2 [-438:29240:27] 58480m2 [0,1,0,116840,5346900] 2 [108:4386:1]
58480n (2 curves)	1	2- 5- 17- 43-	2- -2 5-  4  0  2 17-  0
Curve Equation t Generators 58480n1 [0,1,0,-4000,92148] 2 [-44:430:1] 58480n2 [0,1,0,-10880,-317900] 2 [-60:350:1]

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