The paper proves, for a restricted family of automorphisms, that the Mordell-Weil group of an elliptic curve over the fixed field has infinite rank.
Primes of the Form x2+ ny2
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On Larsen's conjecture on the ranks of Elliptic Curves
The paper proves, for a restricted family of automorphisms, that the Mordell-Weil group of an elliptic curve over the fixed field has infinite rank.