Cremona's table of elliptic curves

27608 = 2³ · 7 · 17 · 29

Class	r	Atkin-Lehner	Eigenvalues
27608a (1 curve)	1	2+ 7+ 17+ 29+	2+  0 -1 7+ -1 -4 17+  5
Curve Equation t Generators 27608a1 [0,0,0,37,-26] 1 [7:24:1]
27608b (1 curve)	0	2+ 7+ 17- 29+	2+  1 -3 7+ -3  1 17-  4
Curve Equation t 27608b1 [0,1,0,595427448,-1711698198304] 1
27608c (1 curve)	1	2+ 7- 17+ 29-	2+  0  3 7- -5  6 17+ -1
Curve Equation t Generators 27608c1 [0,0,0,-566,6473] 1 [52:343:1]
27608d (1 curve)	2	2- 7+ 17+ 29+	2- -1  1 7+ -5  1 17+ -4
Curve Equation t Generators 27608d1 [0,-1,0,-320,2524] 1 [-10:68:1]&[6:-28:1]
27608e (1 curve)	1	2- 7+ 17+ 29-	2-  0 -1 7+  5  2 17+  5
Curve Equation t Generators 27608e1 [0,0,0,-983,-25254] 1 [41:58:1]
27608f (4 curves)	1	2- 7+ 17- 29+	2-  0  2 7+  0 -2 17-  4
Curve Equation t Generators 27608f1 [0,0,0,-233519,43434162] 4 [-346:9100:1] 27608f2 [0,0,0,-233539,43426350] 4 [-5406350:-142186044:15625] 27608f3 [0,0,0,-200219,56254550] 2 [-3693106028150:-101968840752636:11015140625] 27608f4 [0,0,0,-267179,30098182] 2 [10926:1140802:1]
27608g (1 curve)	0	2- 7- 17+ 29-	2-  0  1 7-  5  4 17+ -3
Curve Equation t 27608g1 [0,0,0,300973,-169359458] 1

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

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