Elliptic Curve Rank Leaderboard

curve #3788

y2 + xy + y = x3 − 146128534316938360x + 21489517033413267945716810
a-invariants
[1, 0, 1, -146128534316938360, 21489517033413267945716810]
rank (lower bound)
≥ 9
torsion subgroup
ℤ/3ℤ
conductor (N)
48271209739895450136738 ☆ record for ℤ/3ℤ torsion, rank ≥ 9
discriminant (Δ)
205899942150485776090729595724806190737491031791404
Faltings height
8.5984
naive height
130.1834
primes of bad reduction
2, 3, 7, 13, 19, 31, 67, 71, 661, 1063, 1627, 3943
regulator
490753.92128872918966092309403947578463794451434304188598
submitted by
NDElkies
submitted at
last updated

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