Cremona's table of elliptic curves

56840 = 2³ · 5 · 7² · 29

Class	r	Atkin-Lehner	Eigenvalues
56840a (2 curves)	0	2+ 5+ 7- 29+	2+ -2 5+ 7-  4  6  8  2
Curve Equation t 56840a1 [0,1,0,964,100960] 2 56840a2 [0,1,0,-27456,1669744] 2
56840b (4 curves)	1	2+ 5+ 7- 29-	2+  0 5+ 7-  0  2  6  8
Curve Equation t Generators 56840b1 [0,0,0,-11858,-497007] 2 [504:11025:1] 56840b2 [0,0,0,-12103,-475398] 4 [27495:342432:125] 56840b3 [0,0,0,12397,-2156098] 2 [823:23780:1] 56840b4 [0,0,0,-40523,2588278] 2 [42:980:1]
56840c (1 curve)	1	2+ 5+ 7- 29-	2+  1 5+ 7-  6  4  6 -3
Curve Equation t Generators 56840c1 [0,1,0,-7121,-234445] 1 [107:490:1]
56840d (2 curves)	1	2+ 5- 7- 29+	2+  2 5- 7-  0  2  0 -4
Curve Equation t Generators 56840d1 [0,-1,0,-100515,-12231400] 2 [3226:28449:8] 56840d2 [0,-1,0,-107620,-10395468] 2 [-198:1764:1]
56840e (2 curves)	1	2+ 5- 7- 29+	2+  2 5- 7-  4  2  0 -4
Curve Equation t Generators 56840e1 [0,-1,0,-555,-4528] 2 [299:5145:1] 56840e2 [0,-1,0,-1780,23892] 2 [8094:138572:27]
56840f (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7-  0  2  4  0
Curve Equation t Generators 56840f1 [0,1,0,-2515,18738] 2 [-19:245:1] 56840f2 [0,1,0,-33140,2309488] 2 [136:580:1]
56840g (2 curves)	1	2+ 5- 7- 29+	2+ -2 5- 7-  4  2  0  6
Curve Equation t Generators 56840g1 [0,1,0,-326895,-56153882] 2 [-439:1715:1] 56840g2 [0,1,0,744980,-346417632] 2 [436:7840:1]
56840h (2 curves)	0	2+ 5- 7- 29-	2+  0 5- 7-  0  2  6 -6
Curve Equation t 56840h1 [0,0,0,98,-11319] 2 56840h2 [0,0,0,-7007,-220206] 2
56840i (1 curve)	1	2- 5+ 7+ 29-	2-  2 5+ 7+ -1  6 -7  4
Curve Equation t Generators 56840i1 [0,-1,0,-11776,497820] 1 [-114:588:1]
56840j (1 curve)	1	2- 5+ 7+ 29-	2-  2 5+ 7+  5  2 -3  4
Curve Equation t Generators 56840j1 [0,-1,0,-16,22716] 1 [54:420:1]
56840k (4 curves)	0	2- 5+ 7- 29-	2-  0 5+ 7-  4 -6  2  4
Curve Equation t 56840k1 [0,0,0,-23618,-1395667] 2 56840k2 [0,0,0,-29743,-615342] 4 56840k3 [0,0,0,112357,-4793082] 2 56840k4 [0,0,0,-269843,53503198] 2
56840l (2 curves)	0	2- 5- 7- 29+	2-  2 5- 7-  4  2 -4  0
Curve Equation t 56840l1 [0,-1,0,-4475,-109780] 2 56840l2 [0,-1,0,-11580,333572] 2
56840m (2 curves)	0	2- 5- 7- 29+	2-  2 5- 7- -4 -6 -4 -4
Curve Equation t 56840m1 [0,-1,0,-594435,1791812] 2 56840m2 [0,-1,0,-6569740,6464681700] 2
56840n (2 curves)	2	2- 5- 7- 29+	2- -2 5- 7-  0 -6  0  0
Curve Equation t Generators 56840n1 [0,1,0,-555,2470] 2 [-1:55:1]&[3:29:1] 56840n2 [0,1,0,-7660,255408] 2 [58:98:1]&[-74:650:1]
56840o (1 curve)	1	2- 5- 7- 29-	2- -1 5- 7-  2  0  2 -1
Curve Equation t Generators 56840o1 [0,-1,0,-62785,-27385483] 1 [7859:696290:1]
56840p (1 curve)	1	2- 5- 7- 29-	2- -2 5- 7- -1 -6  7 -4
Curve Equation t Generators 56840p1 [0,1,0,-240,-1520] 1 [48:316:1]
56840q (1 curve)	1	2- 5- 7- 29-	2- -2 5- 7-  5 -2  3 -4
Curve Equation t Generators 56840q1 [0,1,0,-800,-7790000] 1 [200:300:1]

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