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math.NT2024
Shadow line distributions
Jennifer S. Balakrishnan, Mirela Çiperiani, Barry Mazur +1
Let be an elliptic curve over with Mordell--Weil rank and be an odd prime of good ordinary reduction. For every imaginary quadratic field satisfying th…
math.NT2012
Selmer Ranks of Quadratic Twists of Elliptic Curves with Partial Rational Two-Torsion
Zev Klagsbrun
This paper investigates which integers can appear as 2-Selmer ranks within the quadratic twist family of an elliptic curve E defined over a number field K with E(K)[2] = Z/2Z. We s…
math.NT2011
The spin of prime ideals
J. B. Friedlander, H. Iwaniec, B. Mazur +1
Fixing a nontrivial automorphism of a number field K, we associate to ideals in K an invariant (with values in {0,1,-1}) that we call the "spin" and for which the associated L-func…