Recent activity
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submitted curve #2711 — rank ≥ 3, log |Δ| = 10.47
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commented on curve #2710
2-isogenous to curve#1570 via the rational 2-torsion point x=18231631/4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character indepe… -
submitted curve #2710 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 89.38
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commented on curve #2709
van Beek (2015). Source: https://dujella.github.io/tors/z9old3.html (curve entry 11). Published independent points; exact point coordinates checked. -
submitted curve #2709 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 142.44
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commented on curve #2708
Cremona 449072l3 = LMFDB 449072.l1: https://www.lmfdb.org/EllipticCurve/Q/449072/l/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 449072, minimal discriminant 8006561105813504, torsion ℤ/4ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2708 — rank ≥ 3, torsion ℤ/4ℤ, log |Δ| = 36.62
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submitted curve #2707 — rank ≥ 3, log |Δ| = 10.74
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commented on curve #2706
2-isogenous to curve#1571 via the rational 2-torsion point x=511025. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independen… -
submitted curve #2706 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 78.45
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commented on curve #2705
Cremona 54264h2 = LMFDB 54264.b3: https://www.lmfdb.org/EllipticCurve/Q/54264/b/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 54264, minimal discriminant 4251975969024, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2705 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 29.08
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submitted curve #2704 — rank ≥ 3, log |Δ| = 10.17
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commented on curve #2703
Voznyy (2021). Source: https://dujella.github.io/tors/z9old3.html (curve entry 17). Published independent points; exact point coordinates checked. -
submitted curve #2703 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 160.28
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submitted curve #2702 — rank ≥ 3, log |Δ| = 10.57
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commented on curve #2701
Cremona 52923f2 = LMFDB 52923.a5: https://www.lmfdb.org/EllipticCurve/Q/52923/a/5 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 52923, minimal discriminant 1080120253623489, torsion ℤ/2ℤ × ℤ/4ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2701 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 34.62
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commented on curve #2700
2-isogenous to curve#1526 via the rational 2-torsion point x=431. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence … -
submitted curve #2700 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 42.05
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commented on curve #2699
2-isogenous to curve#1572 via the rational 2-torsion point x=12289779/4. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character indepe… -
submitted curve #2699 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 86.64
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submitted curve #2698 — rank ≥ 3, log |Δ| = 10.23
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commented on curve #2697
Cremona 663b2 = LMFDB 663.a3: https://www.lmfdb.org/EllipticCurve/Q/663/a/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 663, minimal discriminant 668584449, torsion ℤ/2ℤ × ℤ/4ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2697 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 20.32
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commented on curve #2696
van Beek (2015). Source: https://dujella.github.io/tors/z9old3.html (curve entry 14). Published independent points; exact point coordinates checked. -
submitted curve #2696 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 143.93
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commented on curve #2695
Eroshkin (2009). Source: https://dujella.github.io/tors/z9old3.html (curve entry 7). Published independent points; exact point coordinates checked. -
submitted curve #2695 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 149.54
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commented on curve #2693
Cremona 759b2 = LMFDB 759.b5: https://www.lmfdb.org/EllipticCurve/Q/759/b/5 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 759, minimal discriminant 627352209, torsion ℤ/2ℤ × ℤ/4ℤ. The witness is the generator from Cremona's tables.