Cremona's table of elliptic curves

53391 = 3 · 13 · 37²

Class	r	Atkin-Lehner	Eigenvalues
53391a (1 curve)	1	3+ 13+ 37+	-1 3+  1  2  4 13+  1  2
Curve Equation t Generators 53391a1 [1,1,1,-6370670,-6198281476] 1 [116454:13765553:8]
53391b (2 curves)	1	3+ 13+ 37+	-1 3+ -2  2  4 13+  4  0
Curve Equation t Generators 53391b1 [1,1,1,-18891544,31593001856] 2 [19526:34845:8] 53391b2 [1,1,1,-20554879,25697477282] 2 [-68332702:12225779063:54872]
53391c (4 curves)	1	3+ 13+ 37+	-1 3+ -2 -4  4 13+ -2  0
Curve Equation t Generators 53391c1 [1,1,1,656,-13504] 2 [1104:36160:1] 53391c2 [1,1,1,-6189,-164094] 4 [-32:65:1] 53391c3 [1,1,1,-26724,1511562] 2 [200:1953:1] 53391c4 [1,1,1,-95174,-11340610] 2 [-238359:132716:1331]
53391d (1 curve)	0	3+ 13- 37+	0 3+  0  4  3 13- -1  3
Curve Equation t 53391d1 [0,-1,1,-456333,184284677] 1
53391e (1 curve)	0	3+ 13- 37+	0 3+ -4 -4 -3 13- -3 -1
Curve Equation t 53391e1 [0,-1,1,148765,-4329298] 1
53391f (1 curve)	0	3+ 13- 37+	1 3+ -1  2  4 13- -1 -2
Curve Equation t 53391f1 [1,1,0,-4653,-124254] 1
53391g (2 curves)	0	3+ 13- 37+	1 3+  2 -4 -2 13-  8  4
Curve Equation t 53391g1 [1,1,0,-12349,498160] 2 53391g2 [1,1,0,8186,2013643] 2
53391h (2 curves)	0	3- 13+ 37+	1 3-  2 -2  0 13+ -4 -4
Curve Equation t 53391h1 [1,0,1,-26040,-732359] 2 53391h2 [1,0,1,-210855,36748123] 2

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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