Cremona's table of elliptic curves

12775 = 5² · 7 · 73

Class	r	Atkin-Lehner	Eigenvalues
12775a (4 curves)	0	5+ 7+ 73-	1  0 5+ 7+  0 -2  2 -4
Curve Equation t 12775a1 [1,-1,0,58,-3409] 2 12775a2 [1,-1,0,-3067,-62784] 4 12775a3 [1,-1,0,-48692,-4123409] 2 12775a4 [1,-1,0,-7442,160341] 4
12775b (1 curve)	0	5+ 7+ 73-	1  0 5+ 7+  3  4  2  8
Curve Equation t 12775b1 [1,-1,0,-100742,24877041] 1
12775c (1 curve)	2	5+ 7+ 73-	-1  0 5+ 7+ -5 -2  0  6
Curve Equation t Generators 12775c1 [1,-1,1,5,12] 1 [0:3:1]&[3:5:1]
12775d (1 curve)	0	5+ 7+ 73-	2  1 5+ 7+ -1 -5 -3  8
Curve Equation t 12775d1 [0,1,1,-110908,-14253531] 1
12775e (1 curve)	2	5+ 7+ 73-	2 -3 5+ 7+ -5 -5 -3  0
Curve Equation t Generators 12775e1 [0,0,1,8675,-93219] 1 [130:1821:8]&[210:3121:8]
12775f (1 curve)	1	5+ 7- 73-	0  3 5+ 7- -5  1  3  0
Curve Equation t Generators 12775f1 [0,0,1,50,-2594] 1 [390:899:27]
12775g (1 curve)	1	5+ 7- 73-	1  2 5+ 7- -3  2  6  0
Curve Equation t Generators 12775g1 [1,1,0,-80,245] 1 [4:1:1]
12775h (1 curve)	1	5+ 7- 73-	-1 -1 5+ 7-  6  2  0  6
Curve Equation t Generators 12775h1 [1,1,1,-6313,-422094] 1 [620:15002:1]
12775i (1 curve)	1	5+ 7- 73-	-2 -1 5+ 7-  3  5  3 -6
Curve Equation t Generators 12775i1 [0,-1,1,-658,-6782] 1 [97:912:1]
12775j (1 curve)	2	5- 7+ 73+	-1 -2 5- 7+ -3 -2 -6  0
Curve Equation t Generators 12775j1 [1,0,0,-2013,34642] 1 [-23:274:1]&[27:-26:1]
12775k (1 curve)	1	5- 7+ 73-	0 -1 5- 7+  3 -7 -1  2
Curve Equation t Generators 12775k1 [0,-1,1,-43,-137] 1 [13:36:1]
12775l (1 curve)	1	5- 7- 73+	0  1 5- 7-  3  7  1  2
Curve Equation t Generators 12775l1 [0,1,1,-1083,-19256] 1 [314:121:8]
12775m (1 curve)	1	5- 7- 73+	1  0 5- 7- -5  2  0  6
Curve Equation t Generators 12775m1 [1,-1,0,133,1666] 1 [-6:28:1]
12775n (1 curve)	1	5- 7- 73+	-1  0 5- 7-  3 -4 -2  8
Curve Equation t Generators 12775n1 [1,-1,1,-4030,199822] 1 [334:-6170:1]

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