Specialization t=-3/2 of the generic rank-4 family with torsion Z/2Z x Z/4Z constructed by Dujella and Peral (LMS J. Comput. Math. 17 (2014), 282-288). The listed global minimal model has PARI/GP 2.17.4 rank bounds [5,5], torsion Z/2Z x Z/4Z, conductor 140233810193909992560 and minimal discriminant 1322890813477155550797401760434272274862687898175567556000000000000. The five listed rational points are independent; their canonical-height pairing determinant is approximately 2120.6086892497. Against the database snapshot of 2026-09-25, this improves the absolute discriminant of the existing rank-5 Z/2Z x Z/4Z entry #1376 by a factor of approximately 4.153307779e8.
jesper-petersen ·