
Relevant background info links:
Your Party is the name of the sign-up website, but Sultana posted on X to correct some early reports suggesting this was the new party's name, saying: "It's not called Your Party!"
[...]
Asked when they would choose a name for the party, [Corbyn] said: "We're going to decide when we've had all the responses, and so far the response rate has been massive.
"They've been coming in at 500 a minute wanting to support and join the new party."
Oof :(
Corbyn and Sultana clash over new party membership - BBC News
Ex-Labour MP Zarah Sultana has accused Jeremy Corbyn of overseeing a "sexist boys' club" locking women out of the founding of a new left-wing party the pair announced earlier this year.
[...]
Her comments come after Your Party supporters got an email on Thursday offering £55 memberships only for Corbyn to later dismiss it as "unauthorised" - telling supporters he was seeking legal advice.
[...]
On social media, some left-wingers raged that the party fragmenting so early into its formation had put them off joining.Guardian journalist Owen Jones, who has championed the new party, warned that if the split drags on "people will switch off and just bet everything on the Greens".
Jeremy Corbyn (@jeremycorbyn): "Urgent message to all http://yourparty.uk supporters" | XCancel

Zarah Sultana MP (@zarahsultana): "My response:" | XCancel

@Noit hmmm, I guess if there's a split it might make most sense for options to resolve YES if either party name has them, while if there's no party then I'm leaning towards all NO rather than all n/a
Relevant development
Sultana later stressed that the name was up to the members, but said her preference was to call the party "The Left" or "The Left Party".