Cremona's table of elliptic curves

17748 = 2² · 3² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
17748a (1 curve)	1	2- 3+ 17+ 29-	2- 3+ -1  2  3 -1 17+  5
Curve Equation t Generators 17748a1 [0,0,0,1032,-5436] 1 [60:522:1]
17748b (1 curve)	1	2- 3+ 17- 29+	2- 3+  1  2 -3 -1 17-  5
Curve Equation t Generators 17748b1 [0,0,0,9288,146772] 1 [5301:386019:1]
17748c (1 curve)	1	2- 3- 17+ 29+	2- 3-  3 -2 -3 -5 17+  7
Curve Equation t Generators 17748c1 [0,0,0,1824,24532] 1 [173:2349:1]
17748d (2 curves)	0	2- 3- 17+ 29-	2- 3- -2  2  0  6 17+  2
Curve Equation t 17748d1 [0,0,0,-1236,-13871] 2 17748d2 [0,0,0,2409,-80210] 2
17748e (1 curve)	2	2- 3- 17- 29+	2- 3- -3 -2 -5  3 17- -5
Curve Equation t Generators 17748e1 [0,0,0,-2424,47716] 1 [5:189:1]&[24:58:1]
17748f (2 curves)	1	2- 3- 17- 29-	2- 3-  0 -1  0 -1 17-  5
Curve Equation t Generators 17748f1 [0,0,0,-3495,-80498] 1 [36806:302940:343] 17748f2 [0,0,0,12705,-402554] 3 [194:3060:1]

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