I need to calculate the splitting field of a polynomial over Z ( in my case, the polynomial is the Weierstrass equation of an elliptic curve ), the degree of extension of the splitting field over Q and the roots ( if it's not possible to find out all of the roots, at least one can find one of the roots ). So I will request to kindly inform me about how to compute them on SAGE & whether I can perform the calculations on the online SAGE notebook ?
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