Cremona's table of elliptic curves

11271 = 3 · 13 · 17²

Class	r	Atkin-Lehner	Eigenvalues
11271a (2 curves)	1	3+ 13+ 17+	-1 3+  0  2  2 13+ 17+  0
Curve Equation t Generators 11271a1 [1,1,1,-9543,-344196] 2 [358:6323:1] 11271a2 [1,1,1,-28328,1399052] 2 [239:2770:1]
11271b (2 curves)	1	3+ 13+ 17+	-1 3+ -4  0  0 13+ 17+  4
Curve Equation t Generators 11271b1 [1,1,1,-54118435,-153246770824] 2 [-120734964920:-41371736736:28372625] 11271b2 [1,1,1,-49966950,-177740532324] 2 [1532726588512654045:-172854588903450681964:93855196496125]
11271c (1 curve)	1	3+ 13- 17-	-1 3+  1  3 -2 13- 17-  5
Curve Equation t Generators 11271c1 [1,1,1,-1740,-13002] 1 [-18:122:1]
11271d (2 curves)	0	3- 13+ 17+	1 3-  4 -2 -6 13+ 17+  4
Curve Equation t 11271d1 [1,0,1,-75869,-8042461] 2 11271d2 [1,0,1,-94654,-3759481] 2
11271e (2 curves)	0	3- 13+ 17+	-1 3-  4  0  0 13+ 17+  4
Curve Equation t 11271e1 [1,0,0,-187261,-31203112] 2 11271e2 [1,0,0,-172896,-36187767] 2
11271f (4 curves)	1	3- 13- 17+	1 3- -2  4 -4 13- 17+  0
Curve Equation t Generators 11271f1 [1,0,1,138,-1325] 2 [1597911903:-8421134212:85766121] 11271f2 [1,0,1,-1307,-15775] 4 [59841:448739:729] 11271f3 [1,0,1,-20092,-1097791] 2 [4238:91513:8] 11271f4 [1,0,1,-5642,147221] 2 [317:5340:1]
11271g (1 curve)	1	3- 13- 17+	-1 3- -1 -3  2 13- 17+  5
Curve Equation t Generators 11271g1 [1,0,0,-6,-3] 1 [-1:2:1]
11271h (6 curves)	1	3- 13- 17+	-1 3-  2  0 -4 13- 17+ -4
Curve Equation t Generators 11271h1 [1,0,0,-155777,23651808] 4 [27831:822017:27] 11271h2 [1,0,0,-157222,23190275] 4 [275:740:1] 11271h3 [1,0,0,-401427,-66432960] 4 [4032:250704:1] 11271h4 [1,0,0,63863,83281178] 2 [161:9806:1] 11271h5 [1,0,0,-5830292,-5418208077] 2 [32798:1575413:8] 11271h6 [1,0,0,1120158,-449568063] 2 [31678:2040601:8]

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

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