Cremona's table of elliptic curves

50350 = 2 · 5² · 19 · 53

Class	r	Atkin-Lehner	Eigenvalues
50350a (1 curve)	1	2+ 5+ 19+ 53+	2+  0 5+  4 -2  0 -3 19+
Curve Equation t Generators 50350a1 [1,-1,0,-6992,-163584] 1 [-27:84:1]
50350b (1 curve)	0	2+ 5+ 19+ 53-	2+ -2 5+  1  2  7  7 19+
Curve Equation t 50350b1 [1,0,1,-251,-13602] 1
50350c (1 curve)	2	2+ 5+ 19- 53+	2+ -2 5+  1 -2 -3 -5 19-
Curve Equation t Generators 50350c1 [1,0,1,-301,1998] 1 [-8:66:1]&[2:36:1]
50350d (2 curves)	1	2+ 5+ 19- 53-	2+  2 5+  1  0  1 -3 19-
Curve Equation t Generators 50350d1 [1,1,0,3125,7125] 1 [2910:54795:8] 50350d2 [1,1,0,-40625,-3449125] 1 [3295:187165:1]
50350e (1 curve)	1	2+ 5+ 19- 53-	2+ -2 5+ -2  6  0 -7 19-
Curve Equation t Generators 50350e1 [1,0,1,-80951,-8871702] 1 [-4434:2299:27]
50350f (1 curve)	0	2+ 5- 19+ 53+	2+  0 5-  2  4 -2  3 19+
Curve Equation t 50350f1 [1,-1,0,-118367,-15644959] 1
50350g (1 curve)	0	2+ 5- 19- 53-	2+  2 5-  0  0  6 -5 19-
Curve Equation t 50350g1 [1,1,0,-49700,4244000] 1
50350h (1 curve)	1	2- 5+ 19+ 53-	2-  0 5+  1 -2 -1 -3 19+
Curve Equation t Generators 50350h1 [1,-1,1,245,-5253] 1 [39:-270:1]
50350i (1 curve)	1	2- 5+ 19+ 53-	2-  0 5+ -2  4  2 -3 19+
Curve Equation t Generators 50350i1 [1,-1,1,-4735,-124213] 1 [2963:159740:1]
50350j (1 curve)	1	2- 5+ 19+ 53-	2- -2 5+  1  0 -3  1 19+
Curve Equation t Generators 50350j1 [1,0,0,133037,-31487583] 1 [2222:-107111:1]
50350k (1 curve)	1	2- 5+ 19- 53+	2-  2 5+  2  1  0 -3 19-
Curve Equation t Generators 50350k1 [1,1,1,-488,22531] 1 [1318:16209:8]
50350l (1 curve)	1	2- 5+ 19- 53+	2- -2 5+  0  0 -6  5 19-
Curve Equation t Generators 50350l1 [1,0,0,-1988,33952] 1 [26:-10:1]
50350m (1 curve)	1	2- 5+ 19- 53+	2- -2 5+ -2  3  3 -2 19-
Curve Equation t Generators 50350m1 [1,0,0,-1588,27792] 1 [32:-116:1]
50350n (1 curve)	2	2- 5+ 19- 53-	2- -2 5+ -3  2 -1 -5 19-
Curve Equation t Generators 50350n1 [1,0,0,8387,143217] 1 [62:-981:1]&[-8:279:1]
50350o (1 curve)	2	2- 5- 19+ 53-	2-  0 5- -4 -2  0  3 19+
Curve Equation t Generators 50350o1 [1,-1,1,-280,-1253] 1 [-11:25:1]&[-7:21:1]
50350p (1 curve)	0	2- 5- 19- 53+	2-  2 5-  2  6  0  7 19-
Curve Equation t 50350p1 [1,1,1,-3238,-72269] 1

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