Infinitely many genuinely defined elliptic curves over Q(i) of j-invariant 1728 have rank exactly 2.
math 109 (1992), no
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Infinitely many elliptic curves over $\mathbb{Q}(i)$ with rank 2 and $j$-invariant 1728
Infinitely many genuinely defined elliptic curves over Q(i) of j-invariant 1728 have rank exactly 2.