Cremona's table of elliptic curves

82150 = 2 · 5² · 31 · 53

Class	r	Atkin-Lehner	Eigenvalues
82150a (1 curve)	2	2+ 5+ 31- 53+	2+ -1 5+  0 -2 -5 -3 -7
Curve Equation t Generators 82150a1 [1,1,0,-14000,4384000] 1 [96:-2032:1]&[-160:1680:1]
82150b (1 curve)	2	2+ 5+ 31- 53+	2+ -1 5+ -4 -2 -1 -3  1
Curve Equation t Generators 82150b1 [1,1,0,-300,-3500] 1 [55:360:1]&[24:50:1]
82150c (1 curve)	0	2+ 5+ 31- 53+	2+  3 5+ -2 -2 -5  1  1
Curve Equation t 82150c1 [1,-1,0,-16492,-811084] 1
82150d (1 curve)	1	2+ 5+ 31- 53-	2+  3 5+  2  3 -4 -3 -1
Curve Equation t Generators 82150d1 [1,-1,0,-232,-1414] 1 [1065:5483:27]
82150e (2 curves)	1	2+ 5- 31+ 53-	2+  0 5- -2  2 -2 -6 -6
Curve Equation t Generators 82150e1 [1,-1,0,118,-524] 2 [13:49:1] 82150e2 [1,-1,0,-682,-4524] 2 [-15:54:1]
82150f (2 curves)	1	2+ 5- 31- 53+	2+  1 5- -1  6 -4  0  2
Curve Equation t Generators 82150f1 [1,0,1,1549,-71702] 3 [42305:761876:125] 82150f2 [1,0,1,-95326,-11347952] 1 [636967971255:-7199150786521:1540798875]
82150g (1 curve)	0	2- 5+ 31+ 53+	2-  1 5+  2  2 -5 -3 -1
Curve Equation t 82150g1 [1,0,0,-41338,-4159208] 1
82150h (1 curve)	0	2- 5+ 31+ 53+	2-  3 5+  2  0  5  1  1
Curve Equation t 82150h1 [1,-1,1,-705,-22703] 1
82150i (1 curve)	2	2- 5+ 31+ 53+	2- -3 5+ -2 -2 -1 -3 -5
Curve Equation t Generators 82150i1 [1,-1,1,5745,44247] 1 [-5:126:1]&[119:1490:1]
82150j (1 curve)	1	2- 5+ 31- 53+	2- -1 5+ -2  0 -1 -3 -3
Curve Equation t Generators 82150j1 [1,1,1,-27213,1767031] 1 [175:1462:1]
82150k (2 curves)	0	2- 5+ 31- 53-	2-  0 5+  4  6  2  0 -4
Curve Equation t 82150k1 [1,-1,1,12020,7077647] 2 82150k2 [1,-1,1,-487980,127077647] 2
82150l (2 curves)	0	2- 5+ 31- 53-	2- -1 5+  1  6  4  0  2
Curve Equation t 82150l1 [1,1,1,62,-549] 1 82150l2 [1,1,1,-3813,-92309] 1
82150m (2 curves)	1	2- 5- 31+ 53+	2-  0 5-  2  2  2  6 -6
Curve Equation t Generators 82150m1 [1,-1,1,2945,-62553] 2 [9019:851990:1] 82150m2 [1,-1,1,-17055,-582553] 2 [-107:146:1]
82150n (1 curve)	0	2- 5- 31- 53+	2- -3 5- -2  3  4  3 -1
Curve Equation t 82150n1 [1,-1,1,-5805,-182553] 1

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