In short: ``` for A2 in range(1, 10**5): E=EllipticCurve([A2,0]) rn=E.root_number() ``` leaks nearly 128MB of memory on sage 10.4
The same code in pari passes with very little memory. This is related to the following problem in algebraic geometry [1] Let $k,k_1,k_2$ be squarefree pairwise coprime integers. Assume $|k|>1$ and $|k_1|>1$ and $|k_2|>1$. Define the elliptic curves over the rationals: $$E_0:x^3+k x=y^2, E_1: x^3+k k_1^2 x,E_2: x^3+k k_2^2 x =y^2, E_3: x^3+k k_1^2 k_2^2 x=y^2$$ < Then at least one of the root numbers of E_i is -1. [1] https://mathoverflow.net/q/476863/12481 On the root numbers of quadruples of quadratic twists of elliptic curves -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-devel/CAGUWgD_NG%2B5wdS3uuhcTMEfNG329Kzj%2BZ-H38BYDO%3DbEvaoi7A%40mail.gmail.com.
