Cremona's table of elliptic curves

49011 = 3 · 17 · 31²

Class	r	Atkin-Lehner	Eigenvalues
49011a (2 curves)	1	3+ 17- 31-	0 3+  3 -4  3  1 17- -1
Curve Equation t Generators 49011a1 [0,-1,1,641,29853] 1 [579:13934:1] 49011a2 [0,-1,1,-57019,5262498] 1 [114:480:1]
49011b (1 curve)	1	3+ 17- 31-	1 3+  2 -1  3  1 17-  0
Curve Equation t Generators 49011b1 [1,1,0,-314,2073] 1 [56:377:1]
49011c (1 curve)	1	3+ 17- 31-	1 3+  2  5 -3  1 17-  0
Curve Equation t Generators 49011c1 [1,1,0,-101144789,-391849206198] 1 [4604125202219019797314:164757755484447320593378:376822312375688171]
49011d (1 curve)	1	3+ 17- 31-	2 3+  2 -4  6 -5 17- -3
Curve Equation t Generators 49011d1 [0,-1,1,-72,-217] 1 [2238:1295:216]
49011e (1 curve)	0	3- 17+ 31+	1 3-  2 -1 -3 -1 17+  0
Curve Equation t 49011e1 [1,0,1,-302255,-65683897] 1
49011f (1 curve)	0	3- 17+ 31+	1 3-  2  5  3 -1 17+  0
Curve Equation t 49011f1 [1,0,1,-105250,13143089] 1
49011g (1 curve)	0	3- 17+ 31+	2 3-  2 -4 -6  5 17+ -3
Curve Equation t 49011g1 [0,1,1,-69512,7151219] 1
49011h (1 curve)	0	3- 17- 31-	0 3-  1 -2 -1 -1 17-  3
Curve Equation t 49011h1 [0,1,1,-120445,-16380788] 1
49011i (4 curves)	0	3- 17- 31-	-1 3-  2  0 -4 -6 17- -4
Curve Equation t 49011i1 [1,0,0,7668,-143937] 4 49011i2 [1,0,0,-35577,-1242360] 4 49011i3 [1,0,0,-280632,56345565] 2 49011i4 [1,0,0,-482442,-128956377] 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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