Cremona's table of elliptic curves

27588 = 2² · 3 · 11² · 19

Class	r	Atkin-Lehner	Eigenvalues
27588a (1 curve)	1	2- 3+ 11- 19+	2- 3+  3 -2 11-  1 -3 19+
Curve Equation t Generators 27588a1 [0,-1,0,-116684,19643736] 1 [170:-2166:1]
27588b (1 curve)	1	2- 3+ 11- 19+	2- 3+ -3 -1 11-  6  5 19+
Curve Equation t Generators 27588b1 [0,-1,0,323,-13319] 1 [40:249:1]
27588c (2 curves)	0	2- 3+ 11- 19-	2- 3+  2  0 11- -2 -6 19-
Curve Equation t 27588c1 [0,-1,0,323,-25298] 2 27588c2 [0,-1,0,-11172,-434520] 2
27588d (1 curve)	0	2- 3+ 11- 19-	2- 3+  3  2 11- -1  3 19-
Curve Equation t 27588d1 [0,-1,0,-964,-14408] 1
27588e (2 curves)	0	2- 3- 11- 19+	2- 3-  0 -2 11- -5 -3 19+
Curve Equation t 27588e1 [0,1,0,-16133,-797865] 1 27588e2 [0,1,0,41947,-4207161] 1

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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