Cremona's table of elliptic curves

240 = 2⁴ · 3 · 5

Class	r	Atkin-Lehner	Eigenvalues
240c (4 curves)	1	2+ 3+ 5+	2+ 3+ 5+ -4  0 -6 -2 -4
Curve Equation t Generators 240c1 [0,-1,0,4,0] 2 [1:2:1] 240c2 [0,-1,0,-16,16] 4 [-2:6:1] 240c3 [0,-1,0,-136,-560] 2 [-6:2:1] 240c4 [0,-1,0,-216,1296] 2 [0:36:1]
240a (6 curves)	0	2+ 3+ 5-	2+ 3+ 5-  0  4  6 -6  4
Curve Equation t 240a1 [0,-1,0,-15,-18] 2 240a2 [0,-1,0,-20,0] 4 240a3 [0,-1,0,-200,1152] 8 240a4 [0,-1,0,80,-80] 2 240a5 [0,-1,0,-3200,70752] 4 240a6 [0,-1,0,-80,2400] 4
240b (8 curves)	0	2- 3+ 5+	2- 3+ 5+  4  0  2  6  4
Curve Equation t 240b1 [0,-1,0,24,-144] 2 240b2 [0,-1,0,-296,-1680] 4 240b3 [0,-1,0,-216,4080] 2 240b4 [0,-1,0,-4616,-119184] 2 240b5 [0,-1,0,-1096,12400] 2 240b6 [0,-1,0,-5336,151536] 4 240b7 [0,-1,0,-7256,34800] 2 240b8 [0,-1,0,-85336,9623536] 2
240d (8 curves)	0	2- 3- 5-	2- 3- 5-  0  4 -2  2 -4
Curve Equation t 240d1 [0,1,0,0,-12] 2 240d2 [0,1,0,-80,-300] 4 240d3 [0,1,0,-1280,-18060] 2 240d4 [0,1,0,-160,308] 8 240d5 [0,1,0,-2160,37908] 8 240d6 [0,1,0,560,2900] 4 240d7 [0,1,0,-34560,2461428] 4 240d8 [0,1,0,-1760,52788] 4

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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