[sage-support] Re: Adjoining possibly "redundant" number field elements to QQ?

2016-07-11 Thread Sam Bloom
I think I found what I need with composite_fields. Sorry for the post! On Monday, July 11, 2016 at 11:50:46 AM UTC-4, Sam Bloom wrote: > > Hello, > > I'd like to make a subfield of a number field K by adjoining to QQ a list > of elements from K, with the possibility that

[sage-support] Adjoining possibly "redundant" number field elements to QQ?

2016-07-11 Thread Sam Bloom
Hello, I'd like to make a subfield of a number field K by adjoining to QQ a list of elements from K, with the possibility that for some i, that the minimal polynomial over QQ of a_(i+1) is *not* irreducible over QQ[a_0, ..., a_i]. As a basic example, I'd like to have *K. = NumberField(x^2-2)

Re: [sage-support] Reduction mod p of modular abelian varieties --- any functionality?

2016-06-29 Thread Sam Bloom
Thanks. I realized to do this after I sent the message—this should be enough for what I need. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsub

[sage-support] Reduction mod p of modular abelian varieties --- any functionality?

2016-06-28 Thread Sam Bloom
Hello, I would like to use Sage to study the reduction at a prime of a modular abelian variety A over a number field (or at least over QQ). By "modular" I mean either J0(N), for N a positive integer, or the abelian variety associated to a particular newform of level N and weight 2. Is there