Recent activity
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submitted curve #2792 — rank ≥ 4, log |Δ| = 14.03
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commented on curve #2790
2-isogenous to curve#1585 via the rational 2-torsion point x=18. 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 i… -
commented on curve #2791
Cremona 498675d2 = LMFDB 498675.d2: https://www.lmfdb.org/EllipticCurve/Q/498675/d/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 498675, minimal discriminant 6216918890625, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2791 — rank ≥ 3, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 29.46
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submitted curve #2790 — rank ≥ 4, torsion ℤ/2ℤ, log |Δ| = 26.61
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commented on curve #2789
2-isogenous image of D-z10-004, rational kernel x=-63094581573040382401/4. Source: https://dujella.github.io/tors/z10.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadrat… -
submitted curve #2789 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 250.90
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submitted curve #2788 — rank ≥ 4, log |Δ| = 14.64
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commented on curve #2787
Cremona 8502b2 = LMFDB 8502.b2: https://www.lmfdb.org/EllipticCurve/Q/8502/b/2 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 8502, minimal discriminant 72284004, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2787 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 18.10
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submitted curve #2786 — rank ≥ 4, log |Δ| = 15.03
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submitted curve #2785 — rank ≥ 4, log |Δ| = 14.38
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commented on curve #2784
Elkies (2006). Source: https://dujella.github.io/tors/z10.html (curve entry 3). Published independent points; exact point coordinates checked. -
submitted curve #2784 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 264.27
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commented on curve #2783
Cremona 10560bl2 = LMFDB 10560.b2: https://www.lmfdb.org/EllipticCurve/Q/10560/b/2 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 10560, minimal discriminant 111513600, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2783 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 18.53
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commented on curve #2782
2-isogenous image of D-z10-006, rational kernel x=6914743098109976052. Source: https://dujella.github.io/tors/z10.html. Independent witness points transported by the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-c… -
submitted curve #2782 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 269.10
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commented on curve #2781
2-isogenous to curve#1610 via the rational 2-torsion point x=-284991. 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 #2781 — rank ≥ 4, torsion ℤ/6ℤ, log |Δ| = 72.67
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commented on curve #2779
Cremona 9010a2 = LMFDB 9010.b2: https://www.lmfdb.org/EllipticCurve/Q/9010/b/2 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 9010, minimal discriminant 81180100, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
commented on curve #2780
2-isogenous to curve#1634 via the rational 2-torsion point x=224737695/4. 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 #2779 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 18.21
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submitted curve #2780 — rank ≥ 4, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 130.55
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submitted curve #2778 — rank ≥ 4, log |Δ| = 14.78
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commented on curve #2776
Cremona 19040h1 = LMFDB 19040.b3: https://www.lmfdb.org/EllipticCurve/Q/19040/b/3 Mordell–Weil rank exactly 2 (Cremona's tables). Conductor 19040, minimal discriminant 22657600, torsion ℤ/2ℤ × ℤ/2ℤ. The witnesses are the generators from Cremona's tables. -
commented on curve #2777
Fisher (2016). Source: https://dujella.github.io/tors/z10.html (curve entry 8). Published independent points; exact point coordinates checked. -
submitted curve #2776 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 16.94
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submitted curve #2777 — rank ≥ 4, torsion ℤ/10ℤ, log |Δ| = 264.91
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commented on curve #2775
2-isogenous to curve#1720 via the rational 2-torsion point x=6283. 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…