Cremona's table of elliptic curves

56115 = 3² · 5 · 29 · 43

Class	r	Atkin-Lehner	Eigenvalues
56115a (2 curves)	2	3+ 5+ 29+ 43-	-1 3+ 5+ -2  0  2 -8 -2
Curve Equation t Generators 56115a1 [1,-1,1,-43418,3482056] 2 [-1922:1363:8]&[88:-625:1] 56115a2 [1,-1,1,-23843,6621886] 2 [61:2291:1]&[893:25951:1]
56115b (2 curves)	0	3+ 5- 29- 43-	1 3+ 5- -2  0  2  8 -2
Curve Equation t 56115b1 [1,-1,0,-4824,-127357] 2 56115b2 [1,-1,0,-2649,-244372] 2
56115c (4 curves)	0	3- 5+ 29+ 43+	1 3- 5+  0 -4 -2  6  4
Curve Equation t 56115c1 [1,-1,0,-3510,-79169] 2 56115c2 [1,-1,0,-3555,-77000] 4 56115c3 [1,-1,0,2250,-308039] 2 56115c4 [1,-1,0,-10080,292315] 2
56115d (1 curve)	0	3- 5+ 29+ 43+	1 3- 5+  3 -4 -2  3 -5
Curve Equation t 56115d1 [1,-1,0,-425880,136195951] 1
56115e (2 curves)	0	3- 5+ 29+ 43+	-1 3- 5+  2 -6  2 -2  6
Curve Equation t 56115e1 [1,-1,1,-26348,1566182] 2 56115e2 [1,-1,1,-78593,-6521344] 2
56115f (2 curves)	0	3- 5+ 29+ 43+	-1 3- 5+ -2 -2 -6  6  2
Curve Equation t 56115f1 [1,-1,1,-1140368,47056106] 2 56115f2 [1,-1,1,-11873813,-15679587508] 2
56115g (1 curve)	1	3- 5+ 29+ 43-	0 3- 5+ -4  5 -1  3  0
Curve Equation t Generators 56115g1 [0,0,1,48912,34003269] 1 [-49:5611:1]
56115h (2 curves)	1	3- 5+ 29+ 43-	1 3- 5+  0  0 -2  2  4
Curve Equation t Generators 56115h1 [1,-1,0,-16605,826200] 2 [558:207:8] 56115h2 [1,-1,0,-10800,1407861] 2 [4686:109599:8]
56115i (2 curves)	1	3- 5+ 29+ 43-	-1 3- 5+ -2 -2  2 -2  2
Curve Equation t Generators 56115i1 [1,-1,1,-28508,1167702] 2 [-118:1755:1] 56115i2 [1,-1,1,-191633,-31392048] 2 [-243:1005:1]
56115j (2 curves)	1	3- 5+ 29- 43+	-1 3- 5+  2  0  2  4  0
Curve Equation t Generators 56115j1 [1,-1,1,-3894188,2955212606] 2 [362040:1351531:343] 56115j2 [1,-1,1,-2796683,4655467352] 2 [-633:78877:1]
56115k (2 curves)	1	3- 5+ 29- 43+	-1 3- 5+ -2  0  2  0 -8
Curve Equation t Generators 56115k1 [1,-1,1,-518,-3868] 2 [-12:28:1] 56115k2 [1,-1,1,787,-21094] 2 [51:-413:1]
56115l (1 curve)	0	3- 5+ 29- 43-	2 3- 5+ -2  3 -7  3 -6
Curve Equation t 56115l1 [0,0,1,-15483,-791901] 1
56115m (1 curve)	0	3- 5- 29+ 43-	1 3- 5- -3  0 -2  5  7
Curve Equation t 56115m1 [1,-1,0,126,715] 1
56115n (2 curves)	0	3- 5- 29+ 43-	-1 3- 5-  4 -2  2  4  2
Curve Equation t 56115n1 [1,-1,1,-19967,-1079634] 2 56115n2 [1,-1,1,-14342,-1705134] 2
56115o (2 curves)	1	3- 5- 29- 43-	1 3- 5-  2 -2  2  2  2
Curve Equation t Generators 56115o1 [1,-1,0,-459,3240] 2 [-18:531:8] 56115o2 [1,-1,0,-6984,226395] 2 [462:687:8]
56115p (2 curves)	1	3- 5- 29- 43-	-1 3- 5- -2 -6  2  6  6
Curve Equation t Generators 56115p1 [1,-1,1,-1067,-8566] 2 [-18:76:1] 56115p2 [1,-1,1,-6872,214346] 2 [-54:679:1]
56115q (1 curve)	1	3- 5- 29- 43-	-2 3- 5- -2  3  5 -1 -2
Curve Equation t Generators 56115q1 [0,0,1,-107397,13546892] 1 [147:-968:1]

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