TITLE: Rank $2$ Elliptic Curves
QUESTION [9 upvotes]: I'm on a quest for some rank $2$ elliptic curves. My question is actually twofold:

Is there a way to easily construct a curve with this property?
Is there a database of elliptic curves with given rank?

I know Cremona has an extensive list of curves, but it seems like access to his tables require Linux. Am I wrong on this? References on constructing curves to have a certain rank is welcome, as are Pari/GP and Sage programs that anyone may have.

REPLY [5 votes]: Accessing Cremona's tables does not need Linux:

You can access the database directly here. For instance, data for the curves of conductors between 1 and 9999 can be found here.
But nowadays there is a much better interface, the LMFDB database! You can find $100$ elliptic curves of rank $2$ just by searching the database. 

Here is the first example with rank $2$ in the database: [0, 1, 1, -2, 0], i.e.,
$$E: y^2 +y=x^3+x^2-2x.$$