I'm a final year undergraduate Math major. So now I am writing a paper about an application of Elliptic curve. You can see my research topic from this question in Math StackExchange.
When studying the elliptic curve above, I'm following the theoretical result and approximation in Rational Points on Elliptic Curves by Silverman and Tate. It details all calculations required to find the rank, torsion point, generator of infinite order of an elliptic curve. When I have almost done calculate all properties of the particular elliptic curve from my research project, I discover the LMFDB database, which has all information I wanted.
I would like to ask, is it necessary to put all calculations of mine in my paper, which is a duplicate effort from the book of Silverman and Tate? Or is it better just include the LMFDB database in my paper and discard these calculations? I think math papers are all about rigorous derivation, every gap should be properly filled, but I'm not sure is 'using database' an academic approach. Besides, I'm not worry about the length of my papers because I have some other original results.