Cremona's table of elliptic curves

120785 = 5 · 7² · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
120785a (2 curves)	0	5+ 7- 17+ 29+	0 -1 5+ 7- -6 -2 17+  4
Curve Equation t 120785a1 [0,-1,1,-219291,-34920789] 1 120785a2 [0,-1,1,-4300991,3429830256] 1
120785b (1 curve)	2	5+ 7- 17+ 29+	-2 -1 5+ 7- -2 -2 17+ -1
Curve Equation t Generators 120785b1 [0,-1,1,-5896,202852] 1 [56:212:1]&[-44:612:1]
120785c (1 curve)	0	5+ 7- 17- 29-	0  1 5+ 7- -2  4 17- -3
Curve Equation t 120785c1 [0,1,1,7089,-17483609] 1
120785d (1 curve)	0	5+ 7- 17- 29-	0  1 5+ 7- -2  4 17-  4
Curve Equation t 120785d1 [0,1,1,-35105821,80048525505] 1
120785e (4 curves)	0	5+ 7- 17- 29-	-1  0 5+ 7- -4  2 17-  0
Curve Equation t 120785e1 [1,-1,1,37892,1287206] 4 120785e2 [1,-1,1,-168153,10930112] 4 120785e3 [1,-1,1,-1411528,-637614288] 2 120785e4 [1,-1,1,-2221498,1274147956] 2
120785f (1 curve)	2	5+ 7- 17- 29-	-2 -3 5+ 7- -4 -6 17- -1
Curve Equation t Generators 120785f1 [0,0,1,1337,29118] 1 [-14:87:1]&[11:-213:1]
120785g (1 curve)	1	5- 7+ 17+ 29-	0 -1 5- 7+ -2 -4 17+ -4
Curve Equation t Generators 120785g1 [0,-1,1,-716445,-233172927] 1 [-61045:39:125]
120785h (2 curves)	1	5- 7+ 17- 29+	0  1 5- 7+ -6  2 17- -4
Curve Equation t Generators 120785h1 [0,1,1,-4475,100531] 3 [10:2461:8] 120785h2 [0,1,1,-87775,-10024584] 1 [-37362:24281:216]
120785i (2 curves)	1	5- 7- 17+ 29+	-1  2 5- 7- -4  6 17+  2
Curve Equation t Generators 120785i1 [1,1,1,-2500,-49148] 2 [119484:1393831:729] 120785i2 [1,1,1,-2255,-58850] 2 [644:15990:1]
120785j (1 curve)	2	5- 7- 17+ 29-	0 -1 5- 7- -2 -4 17+  3
Curve Equation t Generators 120785j1 [0,-1,1,145,50931] 1 [-15:-213:1]&[5:227:1]
120785k (1 curve)	2	5- 7- 17+ 29-	-2  1 5- 7- -4 -2 17+  3
Curve Equation t Generators 120785k1 [0,1,1,-84253850,297651126154] 1 [3944439:10568323:729]&[-7759:695937:1]
120785l (1 curve)	0	5- 7- 17+ 29-	-2  3 5- 7- -4  6 17+  1
Curve Equation t 120785l1 [0,0,1,65513,-9987560] 1
120785m (1 curve)	1	5- 7- 17- 29-	0  0 5- 7-  4  5 17- -2
Curve Equation t Generators 120785m1 [0,0,1,78988,-4642248] 1 [4578:120781:8]
120785n (1 curve)	1	5- 7- 17- 29-	-2 -1 5- 7-  0  6 17-  5
Curve Equation t Generators 120785n1 [0,-1,1,10960,371706] 1 [215:-3553:1]

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