Cremona's table of elliptic curves

2050 = 2 · 5² · 41

Class	r	Atkin-Lehner	Eigenvalues
2050a (4 curves)	0	2+ 5+ 41-	2+  0 5+ -4  0  2 -2  0
Curve Equation t 2050a1 [1,-1,0,-34667,-2347259] 2 2050a2 [1,-1,0,-546667,-155435259] 4 2050a3 [1,-1,0,-8746667,-9954435259] 2 2050a4 [1,-1,0,-538667,-160211259] 2
2050b (1 curve)	0	2+ 5+ 41-	2+  0 5+  5  6 -1  4  6
Curve Equation t 2050b1 [1,-1,0,-2,-4] 1
2050c (2 curves)	0	2+ 5+ 41-	2+  2 5+  2  2  6  6 -2
Curve Equation t 2050c1 [1,1,0,-400,0] 2 2050c2 [1,1,0,1600,2000] 2
2050d (4 curves)	0	2- 5+ 41+	2-  2 5+ -2  0  4  0  8
Curve Equation t 2050d1 [1,1,1,-4188,100781] 2 2050d2 [1,1,1,-66688,6600781] 2 2050d3 [1,1,1,-38563,-2886719] 2 2050d4 [1,1,1,-78563,4073281] 2
2050e (2 curves)	0	2- 5+ 41+	2-  2 5+  4 -2 -4  2  6
Curve Equation t 2050e1 [1,1,1,-38,31] 2 2050e2 [1,1,1,-288,-1969] 2
2050f (2 curves)	1	2- 5+ 41-	2-  0 5+  2 -6  2 -8 -6
Curve Equation t Generators 2050f1 [1,-1,1,-355,2147] 2 [-1:50:1] 2050f2 [1,-1,1,-5355,152147] 2 [49:50:1]
2050g (1 curve)	0	2- 5- 41-	2-  0 5- -5  6  1 -4  6
Curve Equation t 2050g1 [1,-1,1,-55,-553] 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