Cremona's table of elliptic curves

3588 = 2² · 3 · 13 · 23

Class	r	Atkin-Lehner	Eigenvalues
3588a (2 curves)	0	2- 3+ 13+ 23+	2- 3+  0  0 -4 13+  2 -4
Curve Equation t 3588a1 [0,-1,0,-5593,162454] 2 3588a2 [0,-1,0,-89428,10323256] 2
3588b (2 curves)	0	2- 3+ 13+ 23+	2- 3+  4  4  0 13+ -6  0
Curve Equation t 3588b1 [0,-1,0,-801,-8262] 2 3588b2 [0,-1,0,-1836,18648] 2
3588c (2 curves)	1	2- 3+ 13+ 23-	2- 3+  0  4  0 13+  2 -8
Curve Equation t Generators 3588c1 [0,-1,0,-73,-170] 2 [-6:4:1] 3588c2 [0,-1,0,-1108,-13832] 2 [189:2548:1]
3588d (2 curves)	1	2- 3+ 13- 23+	2- 3+  0  2  0 13- -6  2
Curve Equation t Generators 3588d1 [0,-1,0,-166613,21455934] 2 [-215:6877:1] 3588d2 [0,-1,0,-809348,-260576184] 2 [-458:3718:1]
3588e (2 curves)	0	2- 3+ 13- 23-	2- 3+  4  2  0 13-  6 -6
Curve Equation t 3588e1 [0,-1,0,-3021,54558] 2 3588e2 [0,-1,0,-13956,-579672] 2
3588f (2 curves)	0	2- 3- 13- 23+	2- 3-  0 -2 -4 13-  6  6
Curve Equation t 3588f1 [0,1,0,-2293,-43036] 2 3588f2 [0,1,0,-2308,-42460] 2

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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