Recent activity
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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. -
commented on curve #2694
2-isogenous to curve#1564 via the rational 2-torsion point x=-14618305/4. 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 indep… -
submitted curve #2693 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 20.26
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submitted curve #2694 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 87.58
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commented on curve #2692
van Beek (2015). Source: https://dujella.github.io/tors/z9old3.html (curve entry 12). Published independent points; exact point coordinates checked. -
submitted curve #2692 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 148.45
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commented on curve #2691
Voznyy (2021). Source: https://dujella.github.io/tors/z9old3.html (curve entry 16). Published independent points; exact point coordinates checked. -
submitted curve #2691 — rank ≥ 3, torsion ℤ/9ℤ, log |Δ| = 149.96
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commented on curve #2690
Cremona 1155e2 = LMFDB 1155.e3: https://www.lmfdb.org/EllipticCurve/Q/1155/e/3 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 1155, minimal discriminant 161417025, torsion ℤ/2ℤ × ℤ/4ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2690 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 18.90
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submitted curve #2689 — rank ≥ 3, log |Δ| = 11.08
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commented on curve #2688
2-isogenous to curve#1565 via the rational 2-torsion point x=2949068. 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 independe… -
submitted curve #2688 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 108.23
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commented on curve #2687
2-isogenous to curve#1527 via the rational 2-torsion point x=-108. 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 #2687 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 29.22
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commented on curve #2686
Cremona 99a1 = LMFDB 99.a2: https://www.lmfdb.org/EllipticCurve/Q/99/a/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 99, minimal discriminant 297, torsion ℤ/2ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2686 — rank ≥ 1, torsion ℤ/2ℤ, log |Δ| = 5.69
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commented on curve #2685
2-isogenous to curve#1566 via the rational 2-torsion point x=-4557345/4. 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…