arXiv:2611.05672v1 Announce Type: new Abstract: We study a bounded-degree form of a motivic Vojta inequality for pure Andr\'e motives, arising from a question of Kato. We verify this inequality for infinitely many non-CM elliptic curves with unbounded stable Faltings height. The point is that ramification at the finite poles of the $j$-invariant gives the required discriminant bound.
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