Cremona's table of elliptic curves

117453 = 3 · 7² · 17 · 47

Class	r	Atkin-Lehner	Eigenvalues
117453a (1 curve)	0	3+ 7+ 17+ 47-	1 3+ -2 7+ -4 -6 17+ -1
Curve Equation t 117453a1 [1,1,0,-231746,42852741] 1
117453b (1 curve)	0	3+ 7+ 17- 47+	-1 3+  2 7+  4 -2 17-  1
Curve Equation t 117453b1 [1,1,1,293,5438] 1
117453c (2 curves)	0	3+ 7- 17+ 47+	1 3+  0 7- -2 -2 17+  0
Curve Equation t 117453c1 [1,1,0,-44370,3575223] 2 117453c2 [1,1,0,-32855,5489016] 2
117453d (4 curves)	0	3+ 7- 17+ 47+	-1 3+ -2 7-  0  2 17+ -4
Curve Equation t 117453d1 [1,1,1,-104959,-9078868] 2 117453d2 [1,1,1,-646164,192682356] 4 117453d3 [1,1,1,286551,704183262] 2 117453d4 [1,1,1,-10238159,12604723886] 2
117453e (1 curve)	1	3+ 7- 17+ 47-	0 3+  1 7-  1  6 17+  2
Curve Equation t Generators 117453e1 [0,-1,1,-85815,-9613465] 1 [-3866660:1711345:21952]
117453f (4 curves)	1	3+ 7- 17+ 47-	-1 3+  2 7-  0 -2 17+ -8
Curve Equation t Generators 117453f1 [1,1,1,6663,824718] 2 [496:10997:1] 117453f2 [1,1,1,-101382,11456346] 4 [-274:31003:8] 117453f3 [1,1,1,-343197,-64280112] 2 [-1778:9195:8] 117453f4 [1,1,1,-1588287,769777896] 2 [153:22953:1]
117453g (2 curves)	1	3+ 7- 17+ 47-	-1 3+  2 7- -2  2 17+  2
Curve Equation t Generators 117453g1 [1,1,1,-11690127,-15861213516] 2 [42574820:2135553301:8000] 117453g2 [1,1,1,-188631822,-997250630664] 2 [3049185434940:-476747112266733:97336000]
117453h (4 curves)	1	3+ 7- 17+ 47-	-1 3+ -2 7-  0 -6 17+  4
Curve Equation t Generators 117453h1 [1,1,1,-267149,140121722] 2 [4416:289513:1] 117453h2 [1,1,1,-6002354,5650506686] 4 [-3354:721385:8] 117453h3 [1,1,1,-7764149,2059968476] 2 [-4858:649945:8] 117453h4 [1,1,1,-96003839,362020386692] 2 [5081:71155:1]
117453i (2 curves)	1	3+ 7- 17- 47+	0 3+  3 7-  3 -2 17- -2
Curve Equation t Generators 117453i1 [0,-1,1,-11629,-107367] 1 [-12795:439:125] 117453i2 [0,-1,1,-564349,163366482] 1 [420:501:1]
117453j (2 curves)	1	3+ 7- 17- 47+	1 3+ -2 7-  0  2 17-  0
Curve Equation t Generators 117453j1 [1,1,0,-8796,-219141] 2 [-1071336:1472045:13824] 117453j2 [1,1,0,-55101,4791060] 2 [-2146:5867:8]
117453k (1 curve)	0	3+ 7- 17- 47-	0 3+ -3 7-  2 -1 17-  4
Curve Equation t 117453k1 [0,-1,1,-4867,-165873] 1
117453l (1 curve)	0	3+ 7- 17- 47-	0 3+ -3 7- -3 -6 17- -6
Curve Equation t 117453l1 [0,-1,1,-602013967,5213070508932] 1
117453m (2 curves)	0	3+ 7- 17- 47-	1 3+  0 7-  2  0 17- -4
Curve Equation t 117453m1 [1,1,0,150148225,971081676048] 2 117453m2 [1,1,0,-1039871410,9986432426881] 2
117453n (1 curve)	0	3+ 7- 17- 47-	-2 3+  0 7- -4 -3 17-  5
Curve Equation t 117453n1 [0,-1,1,-215798,-38513224] 1
117453o (1 curve)	2	3- 7+ 17+ 47+	-2 3-  0 7+ -4  3 17+ -5
Curve Equation t Generators 117453o1 [0,1,1,-10574118,13231183970] 1 [-3732:27001:1]&[2025:-11246:1]
117453p (1 curve)	1	3- 7- 17+ 47+	0 3-  1 7- -2 -5 17+ -4
Curve Equation t Generators 117453p1 [0,1,1,-65,-109042] 1 [72:514:1]
117453q (1 curve)	1	3- 7- 17+ 47+	0 3- -1 7- -4 -3 17+  4
Curve Equation t Generators 117453q1 [0,1,1,-383399291,2889388682219] 1 [11293:2278:1]
117453r (2 curves)	1	3- 7- 17+ 47+	1 3-  0 7-  6  2 17+ -8
Curve Equation t Generators 117453r1 [1,0,1,-6886,208835] 2 [67595:1520812:125] 117453r2 [1,0,1,4629,839857] 2 [2153:98883:1]
117453s (2 curves)	0	3- 7- 17+ 47-	1 3-  2 7-  0 -2 17+  0
Curve Equation t 117453s1 [1,0,1,-180,613] 2 117453s2 [1,0,1,-1125,-14129] 2
117453t (2 curves)	0	3- 7- 17+ 47-	-1 3-  0 7-  0  4 17+  2
Curve Equation t 117453t1 [1,0,0,-5783,-174504] 2 117453t2 [1,0,0,-93248,-10967685] 2
117453u (2 curves)	0	3- 7- 17+ 47-	-1 3-  2 7-  6  4 17+  2
Curve Equation t 117453u1 [1,0,0,-137397,26474832] 2 117453u2 [1,0,0,-2406342,1436397255] 2
117453v (1 curve)	0	3- 7- 17+ 47-	-1 3- -2 7-  4  2 17+ -1
Curve Equation t 117453v1 [1,0,0,6,-15] 1
117453w (1 curve)	0	3- 7- 17+ 47-	2 3-  1 7- -5 -1 17+ -1
Curve Equation t 117453w1 [0,1,1,-73320,7831457] 1
117453x (1 curve)	0	3- 7- 17- 47+	1 3-  2 7- -4  6 17-  1
Curve Equation t 117453x1 [1,0,1,-4730,-125611] 1
117453y (1 curve)	0	3- 7- 17- 47+	2 3-  3 7-  3  3 17- -5
Curve Equation t 117453y1 [0,1,1,-178964,-30181861] 1
117453z (2 curves)	1	3- 7- 17- 47-	-1 3-  2 7- -2 -2 17-  2
Curve Equation t Generators 117453z1 [1,0,0,1518,-33237] 2 [3231:182061:1] 117453z2 [1,0,0,-10977,-350610] 2 [87258:4914436:27]

Data from Elliptic Curve Data by J. E. Cremona.
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Part of Computational Number Theory
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