Cremona's table of elliptic curves

1862 = 2 · 7² · 19

Class	r	Atkin-Lehner	Eigenvalues
1862a (2 curves)	2	2+ 7+ 19-	2+ -2 -3 7+ -3 -4 -6 19-
Curve Equation t Generators 1862a1 [1,0,1,-75,242] 3 [-10:8:1]&[-3:22:1] 1862a2 [1,0,1,170,1320] 1 [-4203:10781:729]&[4:43:1]
1862b (3 curves)	0	2+ 7- 19+	2+ -1  0 7- -6 -5 -3 19+
Curve Equation t 1862b1 [1,1,0,-760,-8392] 1 1862b2 [1,1,0,465,-30491] 1 1862b3 [1,1,0,-4190,838132] 1
1862c (2 curves)	0	2+ 7- 19+	2+  2  3 7- -3  4  6 19+
Curve Equation t 1862c1 [1,1,0,-3651,-86743] 1 1862c2 [1,1,0,8354,-444492] 1
1862d (1 curve)	1	2- 7+ 19-	2-  0  1 7+ -5 -2 -6 19-
Curve Equation t Generators 1862d1 [1,-1,1,-622,-17027] 1 [37:79:1]
1862e (1 curve)	1	2- 7- 19+	2-  0 -1 7- -5  2  6 19+
Curve Equation t Generators 1862e1 [1,-1,1,-13,53] 1 [-1:8:1]
1862f (2 curves)	0	2- 7- 19-	2-  1  4 7-  2  1 -3 19-
Curve Equation t 1862f1 [1,0,0,-1,-407] 1 1862f2 [1,0,0,-3431,85343] 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
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