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edited Nov 11, 2013 at 13:23

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nt.number-theory elliptic-curves

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edited Nov 11, 2013 at 8:38

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

why do the elliptic curves in the same isogeny class have the same reduction type atFix a prime of bad reduction of the curve ?conductor. Then

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

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 ?

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asked Nov 11, 2013 at 7:57

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Reduction types of elliptic curves at primes of bad reduction

why do the elliptic curves in the same isogeny class have the same reduction type at a prime of bad reduction of the curve ?

elliptic-curves