Cremona's table of elliptic curves

2299 = 11² · 19

Class	r	Atkin-Lehner	Eigenvalues
2299a (1 curve)	1	11+ 19+	2 -3 -3  2 11+  2  6 19+
Curve Equation t Generators 2299a1 [0,0,1,1331,-40263] 1 [242:1327:8]
2299b (1 curve)	2	11+ 19-	-2 -3 -3 -2 11+ -2 -6 19-
Curve Equation t Generators 2299b1 [0,0,1,11,30] 1 [0:5:1]&[3:9:1]
2299c (2 curves)	0	11- 19+	0  1 -3  4 11- -2  0 19+
Curve Equation t 2299c1 [0,1,1,-3307,-86718] 1 2299c2 [0,1,1,23313,502915] 1
2299d (3 curves)	0	11- 19+	0 -2  3  1 11-  4  3 19+
Curve Equation t 2299d1 [0,1,1,81,39] 1 2299d2 [0,1,1,-1129,15164] 1 2299d3 [0,1,1,-93089,10900929] 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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