To make a possessive form, we add 's after nouns that end in se.
The recluse's house
The house's recluse.
The standards for pronunciation and appending ' or 's after singular nouns ending in s vary.
We can add only ' after singular nouns ending in s.
(The above standard and example is from Grammar for English Language Teachers.)
A search of the Corpus of Contemporary American English shows 1885 occurrences of Jesus' (pronounced GEE-zus) and 200 of Jesus's (pronounced "GEE-zuh-sez"; though the final phoneme would often be weakly pronounced or unvoiced in practice).
I scanned enough of the scarcer Jesus's hits to confirm that they all, or nearly all, referenced Jesus as in Christ, and I also found that a wide variety of genres and publication types were represented (including fiction, academic, and major news publishers).
So my tentative answer is, Both ways, at least in recent American discourse.
However, see also
tchrist's well-endorsed answer to Which singular names ending in “s” form possessives with only a bare apostrophe?
What is the pronunciation of the possessive words that already end in s?, identified by Janus Bahs Jaquet in the comments under the question above.