Cremona's table of elliptic curves

117740 = 2² · 5 · 7 · 29²

Class	r	Atkin-Lehner	Eigenvalues
117740a (2 curves)	0	2- 5+ 7+ 29+	2-  0 5+ 7+  2  6 -8  6
Curve Equation t 117740a1 [0,0,0,-6768368,6775191033] 2 117740a2 [0,0,0,-5738143,8908374918] 2
117740b (2 curves)	0	2- 5+ 7+ 29+	2-  2 5+ 7+  2 -6  6  8
Curve Equation t 117740b1 [0,-1,0,-17941,276066] 2 117740b2 [0,-1,0,-165116,-25567864] 2
117740c (1 curve)	0	2- 5+ 7+ 29+	2- -3 5+ 7+  5 -3  1 -6
Curve Equation t 117740c1 [0,0,0,26912,5170468] 1
117740d (2 curves)	1	2- 5+ 7- 29+	2-  0 5+ 7- -6  6  0  4
Curve Equation t Generators 117740d1 [0,0,0,-57188,2853513] 2 [551:11774:1] 117740d2 [0,0,0,-793063,271742238] 2 [638:5046:1]
117740e (4 curves)	1	2- 5+ 7- 29+	2-  2 5+ 7-  6  2 -6  4
Curve Equation t Generators 117740e1 [0,-1,0,-488901,124394210] 2 [8670:17290:27] 117740e2 [0,-1,0,-7700476,8227319880] 2 [2378359770:136090045:1481544] 117740e3 [0,-1,0,-7082341,-7223829834] 2 [495220768090698:12254035599463125:147365285768] 117740e4 [0,-1,0,-10761716,1093029416] 2 [784273967022442217208978:18035510435825011271277785:223540015483993073832]
117740f (1 curve)	1	2- 5- 7+ 29+	2-  1 5- 7+ -2 -4 -2  1
Curve Equation t Generators 117740f1 [0,1,0,-15613445,-23807976025] 1 [5645:260710:1]
117740g (2 curves)	1	2- 5- 7+ 29+	2-  2 5- 7+  2  2  2 -2
Curve Equation t Generators 117740g1 [0,-1,0,-189505,-31079778] 2 [19959008480859072:-2223177022906925995:1606546096128] 117740g2 [0,-1,0,16540,-95283400] 2 [103817425:632180640:226981]
117740h (2 curves)	0	2- 5- 7+ 29-	2-  2 5- 7+  0  2 -2  0
Curve Equation t 117740h1 [0,-1,0,-425,3350] 2 117740h2 [0,-1,0,300,12920] 2
117740i (2 curves)	0	2- 5- 7+ 29-	2- -2 5- 7+  0  2  2  0
Curve Equation t 117740i1 [0,1,0,-357705,78127000] 2 117740i2 [0,1,0,252020,317626980] 2
117740j (2 curves)	0	2- 5- 7- 29+	2- -1 5- 7- -3 -1  3 -2
Curve Equation t 117740j1 [0,-1,0,-4485,-565775] 1 117740j2 [0,-1,0,-677285,-214314335] 1
117740k (4 curves)	0	2- 5- 7- 29+	2-  2 5- 7- -6  2 -6 -2
Curve Equation t 117740k1 [0,-1,0,-127012305,550998182150] 2 117740k2 [0,-1,0,-126806260,552874757592] 2 117740k3 [0,-1,0,-137945305,450554104050] 2 117740k4 [0,-1,0,356768740,2947672717592] 2

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