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May 16, 2023 at 19:25 comment added Sam K Thank you for the answer! I feel less bad about not being able to find any small examples with brute-force napkin math now :)
May 16, 2023 at 16:04 vote accept Sam K
May 16, 2023 at 9:39 comment added Henri Johnston According to Remark 1 in Prasad, Dipendra, A refined notion of arithmetically equivalent number fields, and curves with isomorphic Jacobians. Adv. Math. 312, 198-208 (2017). Zbl 1430.11153, the above example of Scott is the `only' known example (i.e. ignoring examples that can be constructed from Scott's example in a trivial way).
May 16, 2023 at 7:56 history answered Jeremy Rickard CC BY-SA 4.0