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math.NT2021
The elliptic sieve and Brauer groups
Subham Bhakta, Daniel Loughran, Simon L. Rydin Myerson +1
A theorem of Serre states that almost all plane conics over have no rational point. We prove an analogue of this for families of conics parametrised by elliptic curves…
math.NT2021★ 1 cited
Galois representations and composite moduli
Subham Bhakta
It is known that for any elliptic curve and any integer co-prime to the induced Galois representation $ρ_{E,m}: \text{Gal}(\overline{\mathbb{Q}}/\mathbb{Q}…