Cremona's table of elliptic curves

462 = 2 · 3 · 7 · 11

Class	r	Atkin-Lehner	Eigenvalues
462a (2 curves)	1	2+ 3+ 7+ 11+	2+ 3+  0 7+ 11+ -2 -4  6
Curve Equation t Generators 462a1 [1,1,0,5,-23] 2 [4:7:1] 462a2 [1,1,0,-105,-441] 2 [-7:7:1]
462b (4 curves)	0	2+ 3+ 7+ 11-	2+ 3+  2 7+ 11-  2  6 -8
Curve Equation t 462b1 [1,1,0,-644,-2352] 2 462b2 [1,1,0,-5764,164560] 4 462b3 [1,1,0,-92004,10703088] 2 462b4 [1,1,0,-1444,410800] 2
462c (4 curves)	1	2+ 3+ 7- 11-	2+ 3+ -2 7- 11-  2 -6 -4
Curve Equation t Generators 462c1 [1,1,0,4,0] 2 [1:2:1] 462c2 [1,1,0,-16,-20] 4 [-3:5:1] 462c3 [1,1,0,-226,-1406] 2 [-9:5:1] 462c4 [1,1,0,-126,486] 2 [-9:36:1]
462d (2 curves)	0	2+ 3- 7+ 11+	2+ 3-  0 7+ 11+  6  4  6
Curve Equation t 462d1 [1,0,1,-1676,5058506] 2 462d2 [1,0,1,-452236,115355594] 2
462e (2 curves)	1	2- 3+ 7- 11+	2- 3+ -4 7- 11+ -6 -4 -2
Curve Equation t Generators 462e1 [1,1,1,-405,4731] 2 [-17:92:1] 462e2 [1,1,1,-7445,244091] 2 [159:-1844:1]
462f (4 curves)	0	2- 3- 7+ 11-	2- 3-  2 7+ 11- -2 -2  0
Curve Equation t 462f1 [1,0,0,-97,1337] 4 462f2 [1,0,0,-2517,48285] 4 462f3 [1,0,0,-3507,6507] 2 462f4 [1,0,0,-40247,3104415] 2
462g (4 curves)	0	2- 3- 7- 11+	2- 3-  0 7- 11+  2  0  2
Curve Equation t 462g1 [1,0,0,77,161] 6 462g2 [1,0,0,-363,1305] 6 462g3 [1,0,0,-823,-11611] 2 462g4 [1,0,0,-14133,-647829] 2

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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