Cremona's table of elliptic curves

113775 = 3 · 5² · 37 · 41

Class	r	Atkin-Lehner	Eigenvalues
113775a (1 curve)	1	3+ 5+ 37+ 41+	0 3+ 5+  5  0 -6 -6 -5
Curve Equation t Generators 113775a1 [0,-1,1,-8268633,9286927793] 1 [627851:5752641:343]
113775b (2 curves)	1	3+ 5+ 37- 41-	1 3+ 5+  0  2 -2  6  8
Curve Equation t Generators 113775b1 [1,1,0,-3275,57000] 2 [-44:366:1] 113775b2 [1,1,0,6850,350625] 2 [1150:16075:8]
113775c (1 curve)	1	3+ 5+ 37- 41-	1 3+ 5+  2 -1  0  3  2
Curve Equation t Generators 113775c1 [1,1,0,-1475,22620] 1 [24:30:1]
113775d (1 curve)	0	3+ 5- 37- 41-	0 3+ 5- -1 -2  1 -2 -5
Curve Equation t 113775d1 [0,-1,1,-333,-236932] 1
113775e (1 curve)	2	3+ 5- 37- 41-	-2 3+ 5-  0  4 -1  2 -1
Curve Equation t Generators 113775e1 [0,-1,1,-208,1218] 1 [7:7:1]&[-3:42:1]
113775f (2 curves)	0	3- 5+ 37+ 41+	1 3- 5+  0 -4  6  6 -4
Curve Equation t 113775f1 [1,0,1,-10684276,13441166573] 2 113775f2 [1,0,1,-10679151,13454706823] 2
113775g (1 curve)	1	3- 5+ 37+ 41-	0 3- 5+  1 -2 -1  2 -5
Curve Equation t Generators 113775g1 [0,1,1,-13,-1901] 1 [17:55:1]
113775h (1 curve)	1	3- 5+ 37+ 41-	0 3- 5+  3  0  2 -2  1
Curve Equation t Generators 113775h1 [0,1,1,-133,-8231] 1 [23:37:1]
113775i (6 curves)	1	3- 5+ 37+ 41-	1 3- 5+  0  4  2 -2  4
Curve Equation t Generators 113775i1 [1,0,1,-1457751,677321773] 2 [122550008:-68072831:175616] 113775i2 [1,0,1,-1457876,677199773] 4 [4918:26811:8] 113775i3 [1,0,1,-1249751,877416023] 2 [46806134:-1314097881:39304] 113775i4 [1,0,1,-1668001,469176023] 4 [34386:3095501:216] 113775i5 [1,0,1,5348124,3387884023] 2 [-443:30746:1] 113775i6 [1,0,1,-12046126,-15762211477] 2 [-10577499846:101134967933:5268024]
113775j (4 curves)	1	3- 5+ 37+ 41-	1 3- 5+  0 -4  2 -2 -4
Curve Equation t Generators 113775j1 [1,0,1,-4626,113023] 2 [-74:3183:8] 113775j2 [1,0,1,-14751,-555227] 4 [-362:1311:8] 113775j3 [1,0,1,31374,-3322727] 2 [32438:2051311:8] 113775j4 [1,0,1,-222876,-40515227] 2 [-1595898:1004347:5832]
113775k (4 curves)	1	3- 5+ 37+ 41-	-1 3- 5+  0  4 -2 -2 -4
Curve Equation t Generators 113775k1 [1,0,0,-3063213,2508264792] 2 [1068:20802:1] 113775k2 [1,0,0,-51891338,143865686667] 4 [27206:642647:8] 113775k3 [1,0,0,-54781963,126941077292] 2 [-892:418892:1] 113775k4 [1,0,0,-830250713,9207860608542] 2 [133478:20915:8]
113775l (1 curve)	1	3- 5+ 37+ 41-	2 3- 5+  0  4  1 -2 -1
Curve Equation t Generators 113775l1 [0,1,1,-5208,141869] 1 [26796:439957:1728]
113775m (1 curve)	0	3- 5+ 37- 41-	-2 3- 5+  4  0 -3  4 -6
Curve Equation t 113775m1 [0,1,1,-65908,-6534656] 1
113775n (1 curve)	2	3- 5- 37+ 41-	-1 3- 5- -2 -1  0 -3  2
Curve Equation t Generators 113775n1 [1,0,0,-36888,2901267] 1 [27:-1401:1]&[-123:2424:1]

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