Cremona's table of elliptic curves

9729 = 3² · 23 · 47

Class	r	Atkin-Lehner	Eigenvalues
9729a (2 curves)	1	3- 23+ 47-	-1 3-  2  2 -4 -2  0 -4
Curve Equation t Generators 9729a1 [1,-1,1,-284,-1362] 2 [-9:24:1] 9729a2 [1,-1,1,-1499,21480] 2 [-25:219:1]
9729b (4 curves)	1	3- 23- 47+	1 3- -2 -4  4 -2  6 -4
Curve Equation t Generators 9729b1 [1,-1,0,-3483,380776] 2 [26420:4281086:1] 9729b2 [1,-1,0,-102888,12687115] 4 [211366:34247713:8] 9729b3 [1,-1,0,-151533,-495680] 2 [-66049032:346695511:175616] 9729b4 [1,-1,0,-1644723,812282746] 2 [5742:5731:8]
9729c (2 curves)	0	3- 23- 47-	0 3-  0 -4  0  2  3 -1
Curve Equation t 9729c1 [0,0,1,-2010,-34686] 1 9729c2 [0,0,1,-660,-80235] 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
Back to Tables and computations