Cremona's table of elliptic curves

4743 = 3² · 17 · 31

Class	r	Atkin-Lehner	Eigenvalues
4743a (1 curve)	1	3+ 17+ 31+	-2 3+  3  2 -3 -1 17+ -1
Curve Equation t Generators 4743a1 [0,0,1,-141,-1182] 1 [128:1441:1]
4743b (1 curve)	0	3+ 17- 31+	2 3+ -3  2  3 -1 17- -1
Curve Equation t 4743b1 [0,0,1,-1269,31907] 1
4743c (1 curve)	1	3- 17- 31+	0 3- -1 -2 -1  1 17-  3
Curve Equation t Generators 4743c1 [0,0,1,-1128,-14810] 1 [64:418:1]
4743d (4 curves)	0	3- 17- 31-	1 3- -2  0 -4  6 17- -4
Curve Equation t 4743d1 [1,-1,0,72,-149] 2 4743d2 [1,-1,0,-333,-1040] 4 4743d3 [1,-1,0,-4518,-115709] 2 4743d4 [1,-1,0,-2628,51745] 4

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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