Cremona's table of elliptic curves

50225 = 5² · 7² · 41

Class	r	Atkin-Lehner	Eigenvalues
50225a (1 curve)	0	5+ 7+ 41-	-2  0 5+ 7+  2 -1  5  4
Curve Equation t 50225a1 [0,0,1,-8575,-225094] 1
50225b (1 curve)	0	5+ 7- 41+	0  0 5+ 7-  0  4  2 -3
Curve Equation t 50225b1 [0,0,1,107800,1189781] 1
50225c (1 curve)	0	5+ 7- 41+	0 -2 5+ 7- -2 -2 -8  1
Curve Equation t 50225c1 [0,1,1,-165783,-26180031] 1
50225d (4 curves)	0	5+ 7- 41+	1  0 5+ 7-  0 -2 -6  0
Curve Equation t 50225d1 [1,-1,0,-26567,-1658784] 2 50225d2 [1,-1,0,-32692,-831909] 4 50225d3 [1,-1,0,120433,-6497534] 2 50225d4 [1,-1,0,-283817,57680216] 2
50225e (2 curves)	0	5+ 7- 41+	1  2 5+ 7-  6  2  2  6
Curve Equation t 50225e1 [1,1,0,-25750,1578375] 2 50225e2 [1,1,0,-19625,2356250] 2
50225f (1 curve)	0	5+ 7- 41+	2  0 5+ 7- -2 -6 -6  3
Curve Equation t 50225f1 [0,0,1,-7554575,-16135245219] 1
50225g (1 curve)	0	5+ 7- 41+	2  2 5+ 7- -4  0 -4 -5
Curve Equation t 50225g1 [0,-1,1,-408,78343] 1
50225h (1 curve)	2	5+ 7- 41+	-2  0 5+ 7-  2  1 -5 -4
Curve Equation t Generators 50225h1 [0,0,1,-175,656] 1 [-10:37:1]&[-5:37:1]
50225i (1 curve)	0	5+ 7- 41+	-2  3 5+ 7-  3 -5 -3  6
Curve Equation t 50225i1 [0,0,1,-2176825,1723778656] 1
50225j (1 curve)	1	5+ 7- 41-	0  2 5+ 7- -2  2  8 -1
Curve Equation t Generators 50225j1 [0,-1,1,-3383,77293] 1 [37:37:1]
50225k (1 curve)	1	5+ 7- 41-	-1 -1 5+ 7-  6 -1 -2  3
Curve Equation t Generators 50225k1 [1,1,1,832,3576] 1 [34:252:1]
50225l (2 curves)	1	5+ 7- 41-	-1  2 5+ 7-  0 -4  4  0
Curve Equation t Generators 50225l1 [1,1,1,-3088,-344] 2 [-442:805:8] 50225l2 [1,1,1,-33713,-2389094] 2 [-23934:19735:216]
50225m (1 curve)	1	5+ 7- 41-	2  0 5+ 7- -2  6  6 -3
Curve Equation t Generators 50225m1 [0,0,1,-154175,47041531] 1 [-2110:66621:8]
50225n (1 curve)	1	5+ 7- 41-	2 -1 5+ 7-  3 -1  1  6
Curve Equation t Generators 50225n1 [0,-1,1,-220908,439706343] 1 [68868:2434343:64]
50225o (1 curve)	1	5- 7- 41+	2 -1 5- 7- -1 -5 -3 -4
Curve Equation t Generators 50225o1 [0,-1,1,-757458,-254089557] 1 [733740432:310547010077:4096]
50225p (1 curve)	1	5- 7- 41+	-2  1 5- 7- -1  5  3 -4
Curve Equation t Generators 50225p1 [0,1,1,-30298,-2044836] 1 [5871:35144:27]
50225q (1 curve)	0	5- 7- 41-	1  1 5- 7-  6  1  2  3
Curve Equation t 50225q1 [1,0,1,20799,405423] 1
50225r (1 curve)	0	5- 7- 41-	2  1 5- 7- -1  5  3  4
Curve Equation t 50225r1 [0,1,1,-15458,736369] 1
50225s (1 curve)	2	5- 7- 41-	-2 -1 5- 7- -1 -5 -3  4
Curve Equation t Generators 50225s1 [0,-1,1,-618,6138] 1 [-23:87:1]&[-8:102:1]

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