Cremona's table of elliptic curves

27612 = 2² · 3² · 13 · 59

Class	r	Atkin-Lehner	Eigenvalues
27612a (1 curve)	0	2- 3+ 13+ 59+	2- 3+ -3  2 -2 13+  4  0
Curve Equation t 27612a1 [0,0,0,-82944,-9194364] 1
27612b (1 curve)	1	2- 3+ 13+ 59-	2- 3+  3  2  2 13+ -4  0
Curve Equation t Generators 27612b1 [0,0,0,-9216,340532] 1 [53:31:1]
27612c (1 curve)	1	2- 3- 13+ 59+	2- 3- -3 -2  0 13+  6  4
Curve Equation t Generators 27612c1 [0,0,0,-4224,105284] 1 [52:-162:1]
27612d (1 curve)	2	2- 3- 13+ 59-	2- 3- -3  0  0 13+ -4 -6
Curve Equation t Generators 27612d1 [0,0,0,-264,1316] 1 [4:-18:1]&[-8:54:1]
27612e (1 curve)	0	2- 3- 13+ 59-	2- 3- -3 -4 -1 13+  2  3
Curve Equation t 27612e1 [0,0,0,17241,585614] 1
27612f (2 curves)	0	2- 3- 13- 59+	2- 3-  4 -2  0 13- -2  6
Curve Equation t 27612f1 [0,0,0,-136488,19406545] 2 27612f2 [0,0,0,-147423,16115110] 2
27612g (2 curves)	1	2- 3- 13- 59-	2- 3- -3 -4  3 13-  6 -7
Curve Equation t Generators 27612g1 [0,0,0,-7959,-273314] 1 [122:756:1] 27612g2 [0,0,0,-399,-764714] 3 [95:234:1]

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

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