Elliptic Curve Rank Leaderboard

Specialization at T = 11/3 of a rank-17 fibration of X1152 not posted before: y^2 = x^3 + A4 x + A6, where A4 = -21002811307157006823600T^8 - 124178507370130867554240T^7 + 49310208421370688028896T^6 + 684186462515449967548320T^5 - 347903063343023392990800T^4 + 865038291302878093532160T^3 - 4730559749562608875657216T^2 - 1057592985482409016246100T - 70547080864013046411667, A6 = 1113553877083860568742523460080000T^12 + 10884874496532731100952305583392000T^11 + 16025818242069165685904530244956800T^10 - 117712825348875017206735076768415360T^9 - 198718041681783370325910358312379136T^8 + 915547425460491331931148273660243840T^7 + 681145249962056049111823046340920640T^6 - 4213611997840624018803050780171853840T^5 + 2248778903441618677754791957860591444T^4 + 3103145171532247807286164719967775160T^3 + 1312278519504892012590363424552447828T^2 + 173499531556630156585519537608740300T + 7471605906530089270988904804006574. It is a 2-neighbour of the fibration given in curve#3900: 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.