Conversation so far:
How was the band The Smashing Pumpkins formed?
Billy Corgan left St. Petersburg, Florida, to return to his native city of Chicago, where he took a job in a record store and formed the idea.
Who was the first member of The Smashing Pumpkins to join Billy Corgan?
While working there, Billy Corgan met guitarist James Iha. Adorning themselves with paisley and other psychedelic trappings, the two began writing songs together.
What was the first album released by The Smashing Pumpkins?
their 1991 debut studio album Gish
Did The Smashing Pumpkins release a full-length album with Virgin after signing?
Yes

Question: What was the name of that album?
Self-contained rewrite: What was the name of the album The Smashing Pumpkins released after signing with Virgin Records?