Cremona's table of elliptic curves

1870 = 2 · 5 · 11 · 17

Class	r	Atkin-Lehner	Eigenvalues
1870a (2 curves)	0	2+ 5+ 11+ 17-	2+  0 5+  0 11+ -6 17-  2
Curve Equation t 1870a1 [1,-1,0,535,-1075] 2 1870a2 [1,-1,0,-2185,-7059] 2
1870b (2 curves)	0	2+ 5+ 11+ 17-	2+  1 5+ -4 11+  5 17- -1
Curve Equation t 1870b1 [1,0,1,-19504,1046752] 3 1870b2 [1,0,1,-16869,1340376] 1
1870c (1 curve)	0	2+ 5+ 11+ 17-	2+ -3 5+  0 11+ -3 17- -1
Curve Equation t 1870c1 [1,-1,0,-36835,-2711915] 1
1870d (1 curve)	1	2+ 5+ 11- 17-	2+  1 5+  0 11- -3 17-  3
Curve Equation t Generators 1870d1 [1,0,1,76,-3974] 1 [136:1521:1]
1870e (1 curve)	1	2+ 5+ 11- 17-	2+ -1 5+ -2 11-  5 17- -5
Curve Equation t Generators 1870e1 [1,1,0,-293,1837] 1 [9:1:1]
1870f (2 curves)	0	2+ 5- 11- 17-	2+  0 5- -4 11-  2 17- -2
Curve Equation t 1870f1 [1,-1,0,-44,-112] 2 1870f2 [1,-1,0,-724,-7320] 2
1870g (1 curve)	0	2- 5- 11+ 17-	2-  1 5-  4 11+ -1 17-  3
Curve Equation t 1870g1 [1,0,0,5,-5] 1
1870h (2 curves)	1	2- 5- 11- 17-	2- -1 5- -2 11- -1 17- -5
Curve Equation t Generators 1870h1 [1,1,1,-2439835,1467522537] 5 [-1773:15846:1] 1870h2 [1,1,1,17283565,-17141361543] 1 [27795:1113446:27]
1870i (1 curve)	1	2- 5- 11- 17-	2- -3 5- -4 11- -1 17-  7
Curve Equation t Generators 1870i1 [1,-1,1,-87,2799] 1 [-3:56:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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