Cremona's table of elliptic curves

82075 = 5² · 7² · 67

Class	r	Atkin-Lehner	Eigenvalues
82075a (1 curve)	2	5+ 7- 67+	0  0 5+ 7- -2 -2 -3  1
Curve Equation t Generators 82075a1 [0,0,1,-2450,-96469] 1 [65:137:1]&[658:4063:8]
82075b (2 curves)	0	5+ 7- 67+	0 -2 5+ 7-  0 -4  3  4
Curve Equation t 82075b1 [0,1,1,-653,-6681] 1 82075b2 [0,1,1,1797,-33876] 1
82075c (1 curve)	2	5+ 7- 67+	0 -3 5+ 7- -5  1 -3 -2
Curve Equation t Generators 82075c1 [0,0,1,-320950,70218531] 1 [455:-4288:1]&[-231:11490:1]
82075d (1 curve)	2	5+ 7- 67+	-2 -2 5+ 7- -4  2  3 -7
Curve Equation t Generators 82075d1 [0,1,1,-15108,709944] 1 [72:24:1]&[23:612:1]
82075e (1 curve)	1	5+ 7- 67-	1 -3 5+ 7-  0  3  0  4
Curve Equation t Generators 82075e1 [1,-1,0,-14317,-654284] 1 [-530:363:8]
82075f (1 curve)	1	5+ 7- 67-	-1  1 5+ 7-  0 -1 -8 -8
Curve Equation t Generators 82075f1 [1,0,0,-97413,11487692] 1 [-164:4884:1]
82075g (1 curve)	1	5+ 7- 67-	-1  3 5+ 7- -2  3  0  0
Curve Equation t Generators 82075g1 [1,-1,1,-148455,-6725078] 1 [-262323:176759:729]
82075h (1 curve)	1	5+ 7- 67-	-1 -3 5+ 7- -2 -3  0  0
Curve Equation t Generators 82075h1 [1,-1,1,-3030,20472] 1 [-12:-229:1]
82075i (1 curve)	1	5+ 7- 67-	2 -2 5+ 7- -6 -4 -5  7
Curve Equation t Generators 82075i1 [0,1,1,-61658,-15926781] 1 [233594:39915271:8]
82075j (2 curves)	1	5- 7- 67+	1  0 5- 7-  2  0 -2  2
Curve Equation t Generators 82075j1 [1,-1,0,-2312,-42029] 2 [-2549366:1920343:97336] 82075j2 [1,-1,0,-1087,-87354] 2 [5014:352498:1]
82075k (2 curves)	0	5- 7- 67-	0  2 5- 7-  0  4 -3  4
Curve Equation t 82075k1 [0,-1,1,-16333,-802432] 1 82075k2 [0,-1,1,44917,-4324307] 1
82075l (2 curves)	0	5- 7- 67-	-1  0 5- 7-  2  0  2  2
Curve Equation t 82075l1 [1,-1,1,-57805,-5311428] 2 82075l2 [1,-1,1,-27180,-10946428] 2

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