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Isogeny classes and reduction types of elliptic curves at primes of bad reduction

Fix a conductor. Then

  1. Do the elliptic curves in the same isogeny class have the same reduction type at a prime of bad reduction of the curve ?

  2. Do the elliptic curves belonging to two different isogeny classes corresponding to the fixed conductor, have the same reduction type at a prime of bad reduction of the curve ?

Suman
  • 1.2k
  • 8
  • 19