Found by a conductor-oriented search in the standard Z/2Z x Z/4Z family
y^2 = x(x+u^2)(x+v^2), with (u,v) = (4801,8401). Here
v-u = 3600 = 60^2. The search used the same smooth-support / Nagao-filter
strategy used for curve#1829. PARI/GP 2.17.4 gives exact rank 5 and
torsion Z/2Z x Z/4Z. Conductor N = 63897470352240.
This substantially improves the conductor of curve#1829 that I previously submitted.
jesper-petersen ·