Specialization at T = -93/8 of a rank-17 fibration of X1152 not posted before: y^2 = x^3 + A4 x + A6, where
A4 = -149283522995912209072T^8 + 7771051548175580374080T^7 - 96425969122530373515360T^6 - 650745155405088927481120T^5 - 2415911230346916965685840T^4 - 7601154786891989779697040T^3 - 2330949979661939283434680T^2 + 13731963511608379552174620T - 24775768582367122920991275,
A6 = 728648747539615441339595057536T^12 - 56522770035420299634338505890560T^11 + 1220976136746860242842754846581120T^10 - 4534650284415406223365909009522560T^9 + 40082563358095594076415076965738240T^8 + 962506828193107880044950195752958528T^7 + 3523430440764385275475987785896930400T^6 + 2285241161704333099311601789013085360T^5 - 1404773498516823569998513341965901420T^4 + 18727747445156873508749884432613320280T^3 + 13182091133577376201427412811936218796T^2 - 39167275224385873529615083153972312500T + 47401684956970697155653713375708163750.
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.
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