Can we find small elliptic curves of high rank?
Inspired by Dujella's rank tables, this site tracks elliptic curves E/ℚ of high Mordell–Weil rank relative to their size — measured by conductor, height, or discriminant.
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Submit a curve
Give the Weierstrass coefficients and a set of independent rational points. Each point is checked to lie on the curve, and independence is certified by an exact 2-descent computation (quadratic characters at good primes, after Cremona/Brumer) — the points are proven independent in E(ℚ) modulo torsion, so rank ≥ the number of points, with no floating-point arithmetic in the decision. Supplying the primes of bad reduction additionally records its conductor.