Cremona's table of elliptic curves

870 = 2 · 3 · 5 · 29

Class	r	Atkin-Lehner	Eigenvalues
870a (4 curves)	1	2+ 3+ 5- 29-	2+ 3+ 5-  0  0 -6 -2 -4
Curve Equation t Generators 870a1 [1,1,0,-87,261] 2 [-3:24:1] 870a2 [1,1,0,-267,-1431] 4 [-12:21:1] 870a3 [1,1,0,-4017,-99681] 2 [-37:21:1] 870a4 [1,1,0,603,-7869] 2 [17:79:1]
870b (4 curves)	1	2+ 3- 5+ 29-	2+ 3- 5+  2 -6 -4 -6 -4
Curve Equation t Generators 870b1 [1,0,1,-2829,55816] 6 [-61:78:1] 870b2 [1,0,1,-7149,-156728] 6 [-70:78:1] 870b3 [1,0,1,-32844,-2275958] 2 [-778:595:8] 870b4 [1,0,1,-524364,-146193014] 2 [-143457230:71990549:343000]
870c (4 curves)	1	2+ 3- 5- 29+	2+ 3- 5- -4  0 -4 -6  2
Curve Equation t Generators 870c1 [1,0,1,-58,56] 6 [-8:8:1] 870c2 [1,0,1,212,488] 6 [-2:8:1] 870c3 [1,0,1,-2533,-49264] 2 [67:254:1] 870c4 [1,0,1,-2413,-54112] 2 [534:2039:8]
870d (4 curves)	0	2+ 3- 5- 29-	2+ 3- 5-  0  0 -2  6  0
Curve Equation t 870d1 [1,0,1,-113,-124] 2 870d2 [1,0,1,-1393,-20092] 4 870d3 [1,0,1,-22273,-1281244] 2 870d4 [1,0,1,-993,-31772] 4
870e (2 curves)	1	2- 3+ 5+ 29-	2- 3+ 5+ -2 -2  0 -2 -8
Curve Equation t Generators 870e1 [1,1,1,-11,-7] 2 [-3:4:1] 870e2 [1,1,1,-131,-631] 2 [-7:4:1]
870f (2 curves)	1	2- 3+ 5- 29+	2- 3+ 5- -4 -4 -4 -2  2
Curve Equation t Generators 870f1 [1,1,1,-1760,27137] 2 [117:-1259:1] 870f2 [1,1,1,160,85505] 2 [-7:293:1]
870g (4 curves)	0	2- 3+ 5- 29-	2- 3+ 5-  4  0 -2  2  0
Curve Equation t 870g1 [1,1,1,-250,1415] 4 870g2 [1,1,1,-330,327] 4 870g3 [1,1,1,-3230,-71593] 2 870g4 [1,1,1,1290,4215] 4
870h (2 curves)	0	2- 3- 5- 29+	2- 3- 5-  2 -2 -4  6  4
Curve Equation t 870h1 [1,0,0,-5,-3] 2 870h2 [1,0,0,-35,75] 2
870i (4 curves)	0	2- 3- 5- 29+	2- 3- 5- -2  2  4 -2  0
Curve Equation t 870i1 [1,0,0,-4480,-25600] 10 870i2 [1,0,0,-43360,3450272] 10 870i3 [1,0,0,-2136580,-1202240020] 2 870i4 [1,0,0,-2136610,-1202204578] 2

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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