Cremona's table of elliptic curves

25740 = 2² · 3² · 5 · 11 · 13

Class	r	Atkin-Lehner	Eigenvalues
25740a (2 curves)	2	2- 3+ 5+ 11+ 13+	2- 3+ 5+ -4 11+ 13+ -6  4
Curve Equation t Generators 25740a1 [0,0,0,-168,-783] 2 [-8:7:1]&[-6:3:1] 25740a2 [0,0,0,-543,3942] 2 [57:1430:27]&[-21:78:1]
25740b (2 curves)	0	2- 3+ 5- 11- 13+	2- 3+ 5- -4 11- 13+  6  4
Curve Equation t 25740b1 [0,0,0,-1512,21141] 2 25740b2 [0,0,0,-4887,-106434] 2
25740c (1 curve)	0	2- 3- 5+ 11+ 13-	2- 3- 5+  0 11+ 13-  7  1
Curve Equation t 25740c1 [0,0,0,-1368,-20412] 1
25740d (2 curves)	0	2- 3- 5+ 11- 13+	2- 3- 5+ -2 11- 13+  4  6
Curve Equation t 25740d1 [0,0,0,3552,127397] 2 25740d2 [0,0,0,-26823,1360622] 2
25740e (1 curve)	0	2- 3- 5+ 11- 13+	2- 3- 5+ -4 11- 13+  1 -1
Curve Equation t 25740e1 [0,0,0,-4008,-158668] 1
25740f (1 curve)	0	2- 3- 5- 11+ 13+	2- 3- 5-  0 11+ 13+ -3 -3
Curve Equation t 25740f1 [0,0,0,-480409032,4052994565844] 1
25740g (2 curves)	1	2- 3- 5- 11+ 13-	2- 3- 5- -2 11+ 13- -6  0
Curve Equation t Generators 25740g1 [0,0,0,-2172,34409] 2 [10:117:1] 25740g2 [0,0,0,3273,179246] 2 [-25:286:1]
25740h (2 curves)	0	2- 3- 5- 11- 13-	2- 3- 5-  2 11- 13-  3  5
Curve Equation t 25740h1 [0,0,0,-16032,-782156] 1 25740h2 [0,0,0,21408,-3625724] 3

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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