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Haikal Yeo
Haikal Yeo
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Is there some relationship between the $p$-adic regulators of isogenous curves over $\mathbb{Q}$? I've done some computations and their ratio seems to be related (equivalent in all calculations so far) to the ratio of their modular degree.

There doesn't seem to be too much literature on this. Or Or perhaps it's a just a corollary of some known theorem and thus not very interesting. If I'm looking at the wrong place, could somebody please advise on this?

Is there some relationship between the $p$-adic regulators of isogenous curves over $\mathbb{Q}$? I've done some computations and their ratio seems to related (equivalent in all calculations so far) to the ratio of their modular degree.

There doesn't seem to be too much literature on this. Or perhaps it's a just a corollary of some known theorem and thus not very interesting. If I'm looking at the wrong place, could somebody please advise on this?

Is there some relationship between the $p$-adic regulators of isogenous curves over $\mathbb{Q}$? I've done some computations and their ratio seems to be related (equivalent in all calculations so far) to the ratio of their modular degree.

There doesn't seem to be too much literature on this. Or perhaps it's a just a corollary of some known theorem and thus not very interesting. If I'm looking at the wrong place, could somebody please advise on this?

Source Link
Haikal Yeo
Haikal Yeo
  • 173
  • 5

$p$-adic Regulators

Is there some relationship between the $p$-adic regulators of isogenous curves over $\mathbb{Q}$? I've done some computations and their ratio seems to related (equivalent in all calculations so far) to the ratio of their modular degree.

There doesn't seem to be too much literature on this. Or perhaps it's a just a corollary of some known theorem and thus not very interesting. If I'm looking at the wrong place, could somebody please advise on this?