Cremona's table of elliptic curves

6970 = 2 · 5 · 17 · 41

Class	r	Atkin-Lehner	Eigenvalues
6970a (1 curve)	1	2+ 5+ 17+ 41+	2+ -1 5+  1  0 -2 17+  5
Curve Equation t Generators 6970a1 [1,1,0,-68,208] 1 [8:12:1]
6970b (2 curves)	2	2+ 5+ 17- 41+	2+  0 5+ -2 -4 -4 17-  0
Curve Equation t Generators 6970b1 [1,-1,0,-230,1376] 2 [-17:21:1]&[-10:56:1] 6970b2 [1,-1,0,20,4026] 2 [-5:64:1]&[23:116:1]
6970c (2 curves)	2	2+ 5+ 17- 41+	2+ -2 5+ -4  2 -4 17- -2
Curve Equation t Generators 6970c1 [1,0,1,-314,1836] 2 [-12:68:1]&[4:23:1] 6970c2 [1,0,1,-1314,-16564] 2 [-22:53:1]&[-20:52:1]
6970d (1 curve)	0	2+ 5+ 17- 41+	2+  3 5+ -2  2  5 17-  3
Curve Equation t 6970d1 [1,-1,0,-47290,-3946444] 1
6970e (1 curve)	1	2- 5+ 17+ 41-	2-  1 5+ -2  2  3 17+ -5
Curve Equation t Generators 6970e1 [1,0,0,-36831,3254105] 1 [166:1229:1]
6970f (2 curves)	2	2- 5+ 17- 41-	2- -2 5+ -2 -6 -6 17- -6
Curve Equation t Generators 6970f1 [1,0,0,-6086,182116] 2 [1196:40682:1]&[-54:622:1] 6970f2 [1,0,0,-4806,261220] 2 [120:-1250:1]&[-82:366:1]
6970g (1 curve)	0	2- 5- 17- 41+	2-  3 5-  2  0  7 17- -5
Curve Equation t 6970g1 [1,-1,1,-1332,-38249] 1
6970h (2 curves)	1	2- 5- 17- 41-	2- -1 5- -2  2 -1 17- -5
Curve Equation t Generators 6970h1 [1,1,1,-2345,743607] 5 [-93:456:1] 6970h2 [1,1,1,-451995,-137892413] 1 [91392630:2503103063:74088]

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

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