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Bill Allombert on Sun, 14 Sep 2025 19:17:11 +0200
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one-bit estimate of Reg*Sha
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- To: pari-dev@pari.math.u-bordeaux.fr
- Subject: one-bit estimate of Reg*Sha
- From: Bill Allombert <Bill.Allombert@math.u-bordeaux.fr>
- Date: Sun, 14 Sep 2025 19:17:06 +0200
- Delivery-date: Sun, 14 Sep 2025 19:17:11 +0200
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Dear PARI-dev,
For number fields under GRH it is possible to compute the product h*R
analytically to a fixed floating point precision in polynomial time.
Is there a similar result for the product Reg Sha of a rank-1 elliptic curves ?
That is, computing lfun(E,1,1) with very low precision.
I just need B such that B <= Reg Sha <= 2*B.
Cheers,
Bill