Cremona's table of elliptic curves

480 = 2⁵ · 3 · 5

Class	r	Atkin-Lehner	Eigenvalues
480a (4 curves)	1	2+ 3+ 5+	2+ 3+ 5+  0 -4  2 -2 -8
Curve Equation t Generators 480a1 [0,-1,0,-6,0] 4 [-1:2:1] 480a2 [0,-1,0,-81,-255] 2 [11:8:1] 480a3 [0,-1,0,-56,180] 2 [-4:18:1] 480a4 [0,-1,0,24,-24] 2 [5:14:1]
480b (4 curves)	0	2+ 3+ 5-	2+ 3+ 5-  0  0  2  6 -4
Curve Equation t 480b1 [0,-1,0,-10,-8] 4 480b2 [0,-1,0,-160,-728] 2 480b3 [0,-1,0,-40,100] 4 480b4 [0,-1,0,15,-63] 2
480c (4 curves)	0	2+ 3- 5+	2+ 3- 5+  0  4  2 -2  8
Curve Equation t 480c1 [0,1,0,-6,0] 4 480c2 [0,1,0,-56,-180] 2 480c3 [0,1,0,-81,255] 2 480c4 [0,1,0,24,24] 2
480d (4 curves)	0	2+ 3- 5+	2+ 3- 5+  4 -4  6  2 -4
Curve Equation t 480d1 [0,1,0,-226,-1360] 4 480d2 [0,1,0,-3601,-84385] 2 480d3 [0,1,0,-496,2204] 2 480d4 [0,1,0,24,-3960] 4
480e (4 curves)	0	2- 3+ 5+	2- 3+ 5+ -4  4  6  2  4
Curve Equation t 480e1 [0,-1,0,-226,1360] 4 480e2 [0,-1,0,-496,-2204] 2 480e3 [0,-1,0,-3601,84385] 4 480e4 [0,-1,0,24,3960] 2
480f (4 curves)	1	2- 3+ 5-	2- 3+ 5- -4  0 -2 -6  0
Curve Equation t Generators 480f1 [0,-1,0,-30,72] 4 [-1:10:1] 480f2 [0,-1,0,-80,-168] 2 [-3:6:1] 480f3 [0,-1,0,-480,4212] 4 [-12:90:1] 480f4 [0,-1,0,15,225] 4 [-3:12:1]
480g (4 curves)	0	2- 3- 5-	2- 3- 5-  0  0  2  6  4
Curve Equation t 480g1 [0,1,0,-10,8] 4 480g2 [0,1,0,-40,-100] 2 480g3 [0,1,0,-160,728] 2 480g4 [0,1,0,15,63] 4
480h (4 curves)	0	2- 3- 5-	2- 3- 5-  4  0 -2 -6  0
Curve Equation t 480h1 [0,1,0,-30,-72] 4 480h2 [0,1,0,-480,-4212] 2 480h3 [0,1,0,-80,168] 4 480h4 [0,1,0,15,-225] 4

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

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