have you got a no claims bonus yet on the car you are driving?
They will quote you if you ring them but it will be silly prices like ?3000+ and thats just thirt party

Has any of your parents/brothers/ sisters got any claims bonuses?
If they have then get an insurance quote with them as the main driver.
lets just say..... Father has 6 years no claims,
You have one years no claims with a pass plus,
Total Fully comp with elephant.co.uk = ?2000.
This is a rough guess