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by Ciro Santilli (@cirosantilli, 37)

Largest known ranks of an elliptic curve over the rational numbers

 ... Elliptic curve Domain of an elliptic curve Elliptic curve over the rational numbers Number of elements of an elliptic curve over the rational numbers Mordell's theorem Rank of an elliptic curve over the rational numbers
 0 By others on same topic  0 Discussions  Updated 2025-05-21  +Created 1970-01-01  See my version
web.math.pmf.unizg.hr/~duje/tors/rankhist.html gives a list with Elkies (2006) on top with:
y2+xy+y=x3−x2−20067762415575526585033208209338542750930230312178956502x+34481611795030556467032985690390720374855944359319180361266008296291939448732243429
(1)
TODO why this non standard formulation?

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  1. Rank of an elliptic curve over the rational numbers
  2. Mordell's theorem
  3. Number of elements of an elliptic curve over the rational numbers
  4. Elliptic curve over the rational numbers
  5. Domain of an elliptic curve
  6. Elliptic curve
  7. Algebraic geometry
  8. Algebra
  9. Area of mathematics
  10. Mathematics
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