Supporting data: files.zip (2.7Mb). Contains:

`AllCurves.m`(22Mb): Contains all square free polynomials of degree 5 or 6 with integer coordinates between -3 and 3, grouped by isomorphism classes of the curves*y*^{2}=*f*(*x*) they define.`BSD-data.txt`(13K): Lists the BSD data for the 47 curves with (conjectural) non-trivial SHA[2]`DescentObstruction.m`(1007Kb): Contains all curves (up to isomorphism) that have no 2-covers with points everywhere locally.`LocalObstruction.m`(976Kb): Contains all curves (up to isomorphism) that have a local obstruction to having a rational point.`MWSieve-rank*.m`(1K-193K): For *=0,1,2,3,4 these files list the Mordell-Weil sieve data that proves that the curves have no rational points.`Solvable.m`(4.4Mb): Contains all curves (up to isomorphism) with a rational point`Unres.m`(46Kb): The remaining curves.