Second (unmarked) Remnant Vault on Elaaden is located west of Third (Southern) Elaaden Remnant Monolith on the edge of big sinkhole.
There is no in game map for this location.
The main purpose of this location is to gather Remnant Data Core for task and solve Remnant Puzzle for Cryptographer Trophy.
01 Exit from Gravity Well
Console A will disable turrets.
Console B will spawn Destroyer in (06).
You do not need to jump inside, just Scan Adaptive Remnant Core Device standing near corner of pit.
03 Remnant Puzzle Chest
Scan two glyphs in this room and open chest.
Elaaden Second Vault Remnant Puzzle Solution
04 jump up here, jump to (05)
Jump into pit and pick up Remnant Data Core
Remnant Data Core
To jump out do not stand to close to edge.
To raise pillars switch console C then D.
After this step you should have three columns lifted up.
Use them and jump to middle shelf with console 08.
08 Ledge with Console
Console E this console against conspiracy theories do nothing more than spawn few Remnants at 11
Jump to 09 and make long jump with Explorer Profile Biotic Blink to 10.
10 Ledge with Container
11 Remnants spawned by E