Recent activity
New submissions and commentary edits, newest first.
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submitted curve #320 — rank ≥ 19, naive height 222.59
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commented on curve #319
The current rank record for elliptic curves over Q with torsion Z/2Z x Z/2Z, found by Noam Elkies in 2009: rank at least 15 with the 15 published independent witnesses shown here. Source and maintained record table: https://web.math.pmf.unizg.hr/~duje/tors/z2z2.html. The leaderbo… -
submitted curve #319 — rank ≥ 15, naive height 406.53
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commented on curve #318
Rank-15 curve with rational 3-torsion found by Noam Elkies and Zev Klagsbrun (2020); 15 published independent witnesses, re-certified here with the leaderboard's exact Cremona/Brumer quadratic-character verifier. At preflight the live database's only Z/3 curve had rank lower boun… -
submitted curve #318 — rank ≥ 15, naive height 339.06
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commented on curve #317
A new canonical curve from the Mestre-Fermigier family on [348,-600,-216,492,876,-900] at the fresh integer shift t=781. Completing p6(x-t)p6(x+t) and removing square content gives Y^2=4001161*x^4-60808320*x^3-1036031133986*x^2-38029624675200*x+46823070345440729. Its 11 generic c… -
submitted curve #317 — rank ≥ 16, naive height 161.06
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commented on curve #316
A new canonical curve from the Mestre-Fermigier family on [348,-600,-216,492,876,-900] at the fresh shift t=2/9. Completing p6(x-t)p6(x+t) gives, after square normalization, Y^2=450555686361*x^4-8079008597280*x^3-158594291989460424*x^2+3160507498316956800*x+1301561039417375427726… -
submitted curve #316 — rank ≥ 17, naive height 198.63
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submitted curve #315 — rank ≥ 10, naive height 80.11
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commented on curve #314
Found with Rank Hunter v0.7.17; rigorous rank lower bound >= 18. -
submitted curve #314 — rank ≥ 18, naive height 182.38
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submitted curve #313 — rank ≥ 15, naive height 400.82
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submitted curve #312 — rank ≥ 15, naive height 348.83
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submitted curve #311 — rank ≥ 15, naive height 354.75
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submitted curve #310 — rank ≥ 15, naive height 303.62
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submitted curve #309 — rank ≥ 15, naive height 295.82
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submitted curve #308 — rank ≥ 15, naive height 171.89
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submitted curve #307 — rank ≥ 15, naive height 302.90
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submitted curve #306 — rank ≥ 15, naive height 276.04
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submitted curve #305 — rank ≥ 15, naive height 138.34
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submitted curve #304 — rank ≥ 22, naive height 241.65
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commented on curve #303
Found with Rank Hunter v0.7.13; family=Mestre/Fermigier sextuple, generic rank >=11; parameter=2769/2; local status: rigorous rank lower bound >= 16. -
submitted curve #303 — rank ≥ 16, naive height 164.68
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commented on curve #302
BSD + GRH certified to rank 31, found by Claude, Levent Alpöge, and Ava Howell. -
submitted curve #302 — rank ≥ 31, naive height 468.28
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submitted curve #301 — rank ≥ 10, naive height 81.35
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submitted curve #300 — rank ≥ 9, naive height 71.99
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submitted curve #299 — rank ≥ 1, naive height 124.05
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submitted curve #298 — rank ≥ 1, naive height 124.05