Cremona's table of elliptic curves

496 = 2⁴ · 31

Class	r	Atkin-Lehner	Eigenvalues
496a (1 curve)	1	2+ 31+	2+  0 -3  3 -2 -4  0 -1
Curve Equation t Generators 496a1 [0,0,0,1,1] 1 [0:1:1]
496b (1 curve)	0	2+ 31-	2+  2  1  3  2 -2 -6 -1
Curve Equation t 496b1 [0,-1,0,0,-1] 1
496c (2 curves)	0	2+ 31-	2+  2  2  0 -2  4  6 -4
Curve Equation t 496c1 [0,-1,0,8,0] 2 496c2 [0,-1,0,-32,32] 2
496d (2 curves)	0	2- 31+	2-  2 -3  1  6  2  6  1
Curve Equation t 496d1 [0,-1,0,-2,-1] 1 496d2 [0,-1,0,18,11] 1
496e (1 curve)	1	2- 31-	2-  0  1 -3 -6 -4  0  5
Curve Equation t Generators 496e1 [0,0,0,-17,27] 1 [2:1:1]
496f (4 curves)	1	2- 31-	2-  0 -2  0  0  2 -6 -4
Curve Equation t Generators 496f1 [0,0,0,-11,-70] 2 [7:14:1] 496f2 [0,0,0,-331,-2310] 4 [39:210:1] 496f3 [0,0,0,-5291,-148134] 2 [2541:11690:27] 496f4 [0,0,0,-491,154] 4 [-3:40:1]

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

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