id	summary	reporter	owner	description	type	status	priority	milestone	component	resolution	keywords	cc	work_issues	upstream	reviewer	author	merged	dependencies	stopgaps
12766	Better plotting for elliptic curves	roed	cremona	"The plot for `EllipticCurve('448c6')` looks like a vertical line.  The reason is that `plot` contains
{{{
    d = 4*x**3 + (a1**2 + 4*a2)*x**2 + (2*a3*a1 + 4*a4)*x + (a3**2 + 4*a6)
    r = d.roots(multiplicities=False)
    r.sort()
    if xmax is None:
        xmax = r[-1] + 2
    xmax = max(xmax, r[-1]+2)
    if xmin is None:
        xmin = r[0]  - 2
    xmin = min(xmin, r[0]-2)
}}}

When `d` has only one real root, this approach doesn't work that well.  One suggestion would be to also require that the plot contains the flex points, which can be found from the 3-division polynomial."	enhancement	closed	minor	sage-5.0	elliptic curves	fixed		wstein cremona kedlaya		N/A	Kiran Kedlaya	David Roe	sage-5.0.beta14