Cremona's table of elliptic curves

27391 = 7² · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
27391a (1 curve)	1	7+ 13- 43-	1  2  3 7+ -2 13- -3  4
Curve Equation t Generators 27391a1 [1,1,0,-24231,1513352] 1 [308:4682:1]
27391b (2 curves)	1	7- 13+ 43-	1  0  0 7- -3 13+  0  7
Curve Equation t Generators 27391b1 [1,-1,0,-197297,-33681726] 1 [3269937339578:-431455455201849:189119224] 27391b2 [1,-1,0,1280998,136300177] 1 [26214:1577033:8]
27391c (1 curve)	1	7- 13+ 43-	1 -2 -3 7- -2 13+  3 -4
Curve Equation t Generators 27391c1 [1,0,1,-495,-4483] 1 [29:61:1]
27391d (1 curve)	1	7- 13+ 43-	-1  2  2 7- -1 13+  2 -1
Curve Equation t Generators 27391d1 [1,1,1,2008,-86486] 1 [1582:21963:8]
27391e (2 curves)	0	7- 13- 43-	1  0  0 7-  0 13-  2  4
Curve Equation t 27391e1 [1,-1,0,-1094522,-733507545] 2 27391e2 [1,-1,0,-20573737,-35901282306] 2
27391f (2 curves)	2	7- 13- 43-	1  0  0 7- -3 13-  0 -7
Curve Equation t Generators 27391f1 [1,-1,0,26143,-404846] 1 [30:622:1]&[4710:115981:8] 27391f2 [1,-1,0,-9667562,11572167137] 1 [14438:-1655:8]&[2536:56699:1]
27391g (1 curve)	2	7- 13- 43-	-1 -2 -2 7- -1 13- -2  1
Curve Equation t Generators 27391g1 [1,0,0,41,258] 1 [11:-51:1]&[6:24:1]

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

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