Elliptic Curve Rank Leaderboard

Specialization at T = -8/7 of a rank-17 fibration of X1092 not posted before: y^2 = x^3 + A4 x + A6, where A4 = -906367358304324068310252T^8 - 7092594360115144947597168T^7 - 14978709734524328311342164T^6 - 1517328752523744361318344T^5 + 16445626070233551241776120T^4 + 31656989538932514546432384T^3 + 3170607514080799194804096T^2 - 20821372597943495849518272T - 9056516433253722389307312, A6 = 337611854459273162912229049690787604T^12 + 4055186600519069764816176019317421104T^11 + 16630161922875538866982567114625369976T^10 + 19534087387711880882915097539682432720T^9 - 33164430238644337752259032972461221020T^8 - 63692412215480873844213128903390312928T^7 + 64651978990562040281146555673727779952T^6 + 88488568678012147892356636187545056288T^5 - 63693457134721094796995914012618480800T^4 - 87430903964558167112366660980511247360T^3 + 10168572636345523801418545758328698624T^2 + 36650566934024985757498560520582105344T + 10594259331195802631445150476027999616. It is a 2-neighbour of the fibration given in curve#728: its Mordell-Weil lattice (rank 17, no reducible fibres) is a root-free Kneser 2-neighbour of that fibration's, realised by the pencil |O + P - F| for a section P of height 12. Constructed and searched by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.