Cremona's table of elliptic curves

468 = 2² · 3² · 13

Class	r	Atkin-Lehner	Eigenvalues
468a (2 curves)	0	2- 3+ 13+	2- 3+  4  4 -4 13+  0  0
Curve Equation t 468a1 [0,0,0,-168,-855] 2 468a2 [0,0,0,-2703,-54090] 2
468b (2 curves)	0	2- 3+ 13+	2- 3+ -4  4  4 13+  0  0
Curve Equation t 468b1 [0,0,0,-1512,23085] 2 468b2 [0,0,0,-24327,1460430] 2
468c (2 curves)	1	2- 3- 13+	2- 3- -2 -2  2 13+ -6 -6
Curve Equation t Generators 468c1 [0,0,0,-36,81] 2 [0:9:1] 468c2 [0,0,0,9,270] 2 [3:18:1]
468d (4 curves)	0	2- 3- 13-	2- 3-  0  2  0 13-  6  2
Curve Equation t 468d1 [0,0,0,-120,-11] 2 468d2 [0,0,0,-1335,-18722] 2 468d3 [0,0,0,-6600,206377] 6 468d4 [0,0,0,-6735,197494] 6
468e (2 curves)	0	2- 3- 13-	2- 3-  4 -2  4 13- -2 -2
Curve Equation t 468e1 [0,0,0,-48,-115] 2 468e2 [0,0,0,-183,830] 2

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

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