Cremona's table of elliptic curves

51205 = 5 · 7² · 11 · 19

Class	r	Atkin-Lehner	Eigenvalues
51205a (2 curves)	1	5+ 7+ 11- 19-	0  1 5+ 7+ 11- -4  3 19-
Curve Equation t Generators 51205a1 [0,1,1,-261,1306] 3 [4:18:1] 51205a2 [0,1,1,-5651,-165245] 1 [-43:9:1]
51205b (1 curve)	1	5+ 7+ 11- 19-	0  3 5+ 7+ 11- -4 -7 19-
Curve Equation t Generators 51205b1 [0,0,1,-266928088,-1678567409591] 1 [-254751:44209:27]
51205c (2 curves)	0	5+ 7- 11+ 19+	0 -1 5+ 7- 11+ -2  3 19+
Curve Equation t 51205c1 [0,-1,1,-681,-519] 1 51205c2 [0,-1,1,-35681,2606106] 1
51205d (4 curves)	0	5+ 7- 11+ 19+	1  0 5+ 7- 11+ -2  6 19+
Curve Equation t 51205d1 [1,-1,0,-48138050,128564632111] 2 51205d2 [1,-1,0,-48138295,128563258200] 4 51205d3 [1,-1,0,-46457840,137953976831] 2 51205d4 [1,-1,0,-49822670,119084606325] 2
51205e (4 curves)	0	5+ 7- 11+ 19+	1  0 5+ 7- 11+  6  6 19+
Curve Equation t 51205e1 [1,-1,0,-1275185,554452800] 2 51205e2 [1,-1,0,-1428310,413057175] 4 51205e3 [1,-1,0,4274065,2884466500] 2 51205e4 [1,-1,0,-9580685,-11109509650] 2
51205f (1 curve)	1	5+ 7- 11+ 19-	0  2 5+ 7- 11+  5  2 19-
Curve Equation t Generators 51205f1 [0,-1,1,649,4507] 1 [-159:557:27]
51205g (2 curves)	1	5+ 7- 11+ 19-	1 -2 5+ 7- 11+  4 -6 19-
Curve Equation t Generators 51205g1 [1,0,1,-22419,1159337] 2 [25:771:1] 51205g2 [1,0,1,-348514,79161261] 2 [109:6462:1]
51205h (1 curve)	1	5+ 7- 11+ 19-	-1 -1 5+ 7- 11+  2  5 19-
Curve Equation t Generators 51205h1 [1,1,1,38709,2877034] 1 [412:9226:1]
51205i (1 curve)	1	5+ 7- 11+ 19-	-1 -1 5+ 7- 11+ -4 -5 19-
Curve Equation t Generators 51205i1 [1,1,1,-395676,-107288882] 1 [1574:-57113:1]
51205j (2 curves)	1	5+ 7- 11- 19+	1  0 5+ 7- 11-  0 -6 19+
Curve Equation t Generators 51205j1 [1,-1,0,-47245,-3940224] 2 [660:15546:1] 51205j2 [1,-1,0,-42590,-4751125] 2 [310:3275:1]
51205k (2 curves)	0	5+ 7- 11- 19-	1  2 5+ 7- 11-  0  2 19-
Curve Equation t 51205k1 [1,1,0,-858,-8833] 2 51205k2 [1,1,0,-3553,71478] 2
51205l (2 curves)	1	5- 7+ 11+ 19-	0  1 5- 7+ 11+  2 -3 19-
Curve Equation t Generators 51205l1 [0,1,1,-33385,244689] 3 [-8796:96093:64] 51205l2 [0,1,1,-1748385,-890397686] 1 [-48956:4623:64]
51205m (1 curve)	1	5- 7- 11+ 19+	0 -2 5- 7- 11+ -5 -2 19+
Curve Equation t Generators 51205m1 [0,1,1,31785,-1609569] 1 [65:857:1]
51205n (1 curve)	1	5- 7- 11+ 19+	-1  1 5- 7- 11+ -2 -5 19+
Curve Equation t Generators 51205n1 [1,0,0,790,-8275] 1 [95:915:1]
51205o (2 curves)	0	5- 7- 11+ 19-	-1  2 5- 7- 11+ -6  0 19-
Curve Equation t 51205o1 [1,1,1,-295,1420] 2 51205o2 [1,1,1,-1520,-22100] 2
51205p (2 curves)	0	5- 7- 11- 19+	0 -1 5- 7- 11-  4 -3 19+
Curve Equation t 51205p1 [0,-1,1,-12805,-473642] 1 51205p2 [0,-1,1,-276915,56125131] 1
51205q (3 curves)	0	5- 7- 11- 19+	0  2 5- 7- 11- -5 -6 19+
Curve Equation t 51205q1 [0,-1,1,-76131855,-255656220569] 1 51205q2 [0,-1,1,-46131115,-458785817932] 1 51205q3 [0,-1,1,410515075,11627764178281] 1
51205r (1 curve)	0	5- 7- 11- 19+	0 -3 5- 7- 11-  4  7 19+
Curve Equation t 51205r1 [0,0,1,-5447512,4893782535] 1
51205s (1 curve)	1	5- 7- 11- 19-	0 -2 5- 7- 11- -5  6 19-
Curve Equation t Generators 51205s1 [0,1,1,-65,1404] 1 [-12:24:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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