This curve was found as a rational specialization, at parameter \(t=3/17\), of an elliptic-curve family of generic rank 16.
We found 22 independent rational points on the specialized curve, proving that its Mordell–Weil rank over \(\mathbb{Q}\) is at least 22. The exact rank is not currently known.
The submitted equation is a global minimal Weierstrass model. Its conductor was computed and independently certified to be
5651319165610115296564894984823807468501395910978185811787187868498410205790.
The factorization and local reduction data used in the conductor calculation, as well as exact certificates for the 22 independent points, are available in the accompanying research repository.
Roy van Rijn ·