The Arrow of Time
This quest cannot be started until all the improvements done during The Castle of the Nine quest are completed. A Message from Raminus Polus will appear in the Mailbox in the Lord's Quarters of the Castle of the Nine, just above the Items for Sale Chest. Reading the message starts the quest. You will need a bow to complete the quest.
"I have received a message from Raminus Polus at the Arcane University concerning some research that Gareth was conducting. I should go and see him soon."
Go and see Raminus Polus in the Arcane University and speak to him about "Gareth's Research." If you are not a member of the Mages Guild yet, you will have to see Raminius during normal working hours, as you won't have access to the university itself.
"Raminus has given me some items that Gareth had left behind. The items were a blood dipped elven arrow and part of a charcoal rubbing showing a dragon beneath the sun at noon. The word "Trumbe" was scrawled on the charcoal rubbing."
When you examine and activate each of the three stelae your quest log will update.
"The stele on the left appears to be a map of Tamriel. Sunbeams are shown radiating from an island, east-south-east of the Imperial City."
"The middle stele shows a dragon with rays emanating from it. This is most likely to be Akatosh."
"The right stele matches the charcoal rubbing that Raminus Polus gave me. The full stele shows an archer standing on some sort of pedestal, aiming an arrow at the midday sun."
You may be able to figure out that the location on the map is Wellspring Island, which cannot be accessed from the lake. Return to the Arcane University and speak to Raminius Polus again. He confirms that the location is that of Wellspring Island, but that there is nothing there. Wellspring Island can only be reached from Wellspring Cave, and is visited during the Mages Guild quest A Mage's Staff.
If you aren't at the stage of the Mages Guild quests where you can visit the island, namely at or beyond A Mage's Staff, you will not be able to visit it.
If you do visit, possible killing some Necromancer's on the way, once you reach the island your quest log will update.
"I've reached Wellspring Island. This is the spot indicated by the map on the stele in Trumbe, but there appears to be nothing related to the Sunhallowed Arrow here."
This is true, you can't actually complete the quest in this time. Instead, you will have to go back to the First Era.
Stand on the plinth and, at noon - there are a few minutes leeway to either side - fire the Sunhallowed Elven Arrow at the sun which should be directly above you. This is the part you need a bow for. If you haven't brought one, loot one from one of the corpses - the Ayleid Sorcerers should have bows.
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