Cremona's table of elliptic curves

12614 = 2 · 7 · 17 · 53

Class	r	Atkin-Lehner	Eigenvalues
12614a (2 curves)	1	2+ 7+ 17+ 53+	2+  0  2 7+  0 -2 17+  6
Curve Equation t Generators 12614a1 [1,-1,0,434,-6828] 2 [301:5077:1] 12614a2 [1,-1,0,-3806,-75516] 2 [-25:72:1]
12614b (2 curves)	1	2+ 7+ 17+ 53+	2+  0 -2 7+  2 -4 17+ -2
Curve Equation t Generators 12614b1 [1,-1,0,-119848,-15940800] 2 [12761916344:-575049264661:6229504] 12614b2 [1,-1,0,-1917608,-1021607744] 2 [65550:5809547:8]
12614c (2 curves)	2	2+ 7- 17- 53-	2+  0 -2 7-  0 -4 17- -4
Curve Equation t Generators 12614c1 [1,-1,0,7,-231] 2 [8:13:1]&[38:213:1] 12614c2 [1,-1,0,-523,-4365] 2 [-13:17:1]&[27:12:1]
12614d (1 curve)	2	2+ 7- 17- 53-	2+ -3 -2 7- -3  2 17- -4
Curve Equation t Generators 12614d1 [1,-1,0,-3703,87661] 1 [-35:434:1]&[14:189:1]
12614e (2 curves)	0	2- 7+ 17+ 53+	2-  2  0 7+ -2  2 17+  4
Curve Equation t 12614e1 [1,1,1,-30813,1876787] 2 12614e2 [1,1,1,-480253,127899763] 2
12614f (1 curve)	0	2- 7+ 17+ 53+	2-  3  4 7+ -1  4 17+ -2
Curve Equation t 12614f1 [1,-1,1,-228,-761] 1
12614g (1 curve)	1	2- 7+ 17+ 53-	2-  1  2 7+  3 -2 17+ -8
Curve Equation t Generators 12614g1 [1,0,0,-2372,34832] 1 [8:124:1]
12614h (2 curves)	1	2- 7+ 17- 53+	2-  0 -2 7+  2 -2 17-  4
Curve Equation t Generators 12614h1 [1,-1,1,-5581,-153995] 2 [-41:88:1] 12614h2 [1,-1,1,-14061,432821] 2 [171:1648:1]
12614i (4 curves)	1	2- 7- 17+ 53+	2- -2  0 7-  0  2 17+ -4
Curve Equation t Generators 12614i1 [1,0,0,-42798,3396484] 6 [126:28:1] 12614i2 [1,0,0,-59758,448836] 6 [-142:2536:1] 12614i3 [1,0,0,-203518,-32439372] 2 [966:25452:1] 12614i4 [1,0,0,-3181058,-2184009776] 2 [7726560:-173740988:3375]

Data from Elliptic Curve Data by J. E. Cremona.
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