Why can't some $p$-adic regulators be calculated? The first case where this happens is the curve 3314b3. I received the following error message after using this code:
x = EllipticCurve("3314b3"); x
r=x.rank(); r
p=7
x.is_good(p) and x.is_ordinary(p)
reg = x.padic_regulator(p,prec=7); reg
RuntimeError: Unable to compute the rank, hence generators, with certainty (lower bound=0, generators found=[]). This could be because Sha(E/Q)[2] is nontrivial. Try increasing descent_second_limit then trying this command again.