Cremona's table of elliptic curves

2870 = 2 · 5 · 7 · 41

Class	r	Atkin-Lehner	Eigenvalues
2870a (2 curves)	1	2+ 5+ 7+ 41+	2+  0 5+ 7+  6  0  0 -2
Curve Equation t Generators 2870a1 [1,-1,0,-35,-59] 2 [-3:5:1] 2870a2 [1,-1,0,65,-399] 2 [15:54:1]
2870b (2 curves)	2	2+ 5+ 7+ 41-	2+ -2 5+ 7+ -4 -2 -4 -8
Curve Equation t Generators 2870b1 [1,0,1,-39,86] 2 [-6:13:1]&[-2:13:1] 2870b2 [1,0,1,11,306] 2 [0:17:1]&[4:18:1]
2870c (4 curves)	0	2+ 5+ 7- 41+	2+ -2 5+ 7-  6 -4 -6  2
Curve Equation t 2870c1 [1,0,1,-100509,12256196] 6 2870c2 [1,0,1,-100759,12192096] 6 2870c3 [1,0,1,-112024,9270822] 2 2870c4 [1,0,1,-737024,-236729178] 2
2870d (4 curves)	1	2+ 5+ 7- 41-	2+ -2 5+ 7-  0  2  0 -4
Curve Equation t Generators 2870d1 [1,0,1,-70344,7175126] 6 [-92:3633:1] 2870d2 [1,0,1,-70144,7218006] 6 [156:201:1] 2870d3 [1,0,1,-79159,5261082] 2 [-54:3089:1] 2870d4 [1,0,1,240841,37133082] 2 [360:12878:1]

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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