Cremona's table of elliptic curves

272 = 2⁴ · 17

Class	r	Atkin-Lehner	Eigenvalues
272a (2 curves)	1	2+ 17+	2+ -2  0  0 -2 -6 17+ -4
Curve Equation t Generators 272a1 [0,1,0,-8,4] 2 [-2:4:1] 272a2 [0,1,0,-48,-140] 2 [-4:2:1]
272c (2 curves)	0	2+ 17-	2+  2 -2  2  6  2 17-  0
Curve Equation t 272c1 [0,-1,0,-4,0] 2 272c2 [0,-1,0,16,-16] 2
272d (4 curves)	0	2- 17+	2-  2  0  4 -6  2 17+  4
Curve Equation t 272d1 [0,-1,0,-48,-64] 2 272d2 [0,-1,0,-688,-6720] 2 272d3 [0,-1,0,-1648,26304] 2 272d4 [0,-1,0,-1808,21056] 2
272b (4 curves)	1	2- 17-	2-  0 -2 -4  0 -2 17-  4
Curve Equation t Generators 272b1 [0,0,0,-11,-6] 2 [-1:2:1] 272b2 [0,0,0,-91,330] 4 [-3:24:1] 272b3 [0,0,0,-1451,21274] 4 [-3:160:1] 272b4 [0,0,0,-11,890] 4 [-1:30:1]

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

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