Number theory·OpenAI Math·Result 030
Modularity of elliptic curves over imaginary quadratic fields
One of the 372 results in OpenAI's public mathematics catalogue, filed under number theory: 1 preprint, the latest dated 4 October 2026. This page quotes OpenAI's own summary of the claim, links the paper and abstract, and will embed the animation.
Latest paper
Modularity of elliptic curves over imaginary quadratic fields
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What OpenAI claims
Proves the modularity conjecture for elliptic curves over imaginary quadratic fields: every elliptic curve over every imaginary quadratic field is modular, with matching local parameters at every place.
Paper
Modularity of elliptic curves over imaginary quadratic fields
We prove the modularity conjecture for elliptic curves over imaginary quadratic fields: every such curve is modular, with matching local parameters at every place.
Status
Preprint. The paper has not been independently reviewed. Treat the result as OpenAI's claim until other mathematicians have checked it. If a video exists, it illustrates the statement; it is not the proof.
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