Jacobian of a genus-one curve from J.-F. Mestre's ten-point construction. Rank 15 proven (independent generators plus a matching 2-descent upper bound) in M. Rubinstein's elliptic-curves-by-rank collection, file mestre/mestre_rank_15.tsv.gz:
https://github.com/mrubinst/elliptic-curves-by-rank
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