Cremona's table of elliptic curves

684 = 2² · 3² · 19

Class	r	Atkin-Lehner	Eigenvalues
684a (1 curve)	1	2- 3- 19+	2- 3-  1 -3 -5 -4  3 19+
Curve Equation t Generators 684a1 [0,0,0,-192,1028] 1 [4:18:1]
684b (2 curves)	1	2- 3- 19+	2- 3- -2  0 -2  2 -6 19+
Curve Equation t Generators 684b1 [0,0,0,24,-511] 2 [10:27:1] 684b2 [0,0,0,-831,-8890] 2 [-17:18:1]
684c (1 curve)	0	2- 3- 19-	2- 3-  3  1  5 -6  5 19-
Curve Equation t 684c1 [0,0,0,24,-268] 1

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

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