Cremona's table of elliptic curves

288 = 2⁵ · 3²

Class	r	Atkin-Lehner	Eigenvalues
288a (2 curves)	1	2+ 3+	2+ 3+ -4  0  0 -6 -8  0
Curve Equation t Generators 288a1 [0,0,0,3,0] 2 [1:2:1] 288a2 [0,0,0,-12,0] 2 [-2:4:1]
288c (4 curves)	0	2+ 3-	2+ 3- -2  4  4 -2  6  4
Curve Equation t 288c1 [0,0,0,-21,20] 4 288c2 [0,0,0,-156,-736] 2 288c3 [0,0,0,-291,1910] 4 288c4 [0,0,0,69,146] 2
288d (4 curves)	0	2+ 3-	2+ 3-  2  0  0  6 -2  0
Curve Equation t 288d1 [0,0,0,-9,0] 4 288d2 [0,0,0,-99,-378] 2 288d3 [0,0,0,-99,378] 2 288d4 [0,0,0,36,0] 2
288e (2 curves)	0	2- 3+	2- 3+  4  0  0 -6  8  0
Curve Equation t 288e1 [0,0,0,27,0] 2 288e2 [0,0,0,-108,0] 2
288b (4 curves)	1	2- 3-	2- 3- -2 -4 -4 -2  6 -4
Curve Equation t Generators 288b1 [0,0,0,-21,-20] 4 [-3:4:1] 288b2 [0,0,0,-291,-1910] 2 [26:90:1] 288b3 [0,0,0,-156,736] 4 [-10:36:1] 288b4 [0,0,0,69,-146] 2 [5:18:1]

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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