Recent activity
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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… -
submitted curve #2685 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 87.31
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commented on curve #2684
2-isogenous to curve#1528 via the rational 2-torsion point x=165. 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 #2684 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 39.16
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commented on curve #2683
Cremona 349398c2 = LMFDB 349398.c3: https://www.lmfdb.org/EllipticCurve/Q/349398/c/3 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 349398, minimal discriminant 9888395954724, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2683 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 29.92
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commented on curve #2682
2-isogenous to curve#1567 via the rational 2-torsion point x=-505032. 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 #2682 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 81.39
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commented on curve #2681
2-isogenous to curve#1529 via the rational 2-torsion point x=-292. 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 #2681 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 38.62
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commented on curve #2680
2-isogenous to curve#1530 via the rational 2-torsion point x=349. 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 #2680 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 44.00
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commented on curve #2679
Cremona 192a2 = LMFDB 192.a2: https://www.lmfdb.org/EllipticCurve/Q/192/a/2 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 192, minimal discriminant 36864, torsion ℤ/2ℤ × ℤ/2ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2679 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 10.51