Recent activity
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submitted curve #2830 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 224.18
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commented on curve #2829
Dujella - Lecacheux (2002). Source: https://dujella.github.io/tors/z8old5.html (curve entry 1). Published independent points; exact point coordinates checked. -
submitted curve #2829 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 214.30
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commented on curve #2828
Voznyy (2025). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 78). Published independent points; exact point coordinates checked. -
submitted curve #2828 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 218.18
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commented on curve #2827
Cremona 1254h2 = LMFDB 1254.g4: https://www.lmfdb.org/EllipticCurve/Q/1254/g/4 Mordell–Weil rank exactly 1 (Cremona's tables). Conductor 1254, minimal discriminant 761097744, torsion ℤ/2ℤ × ℤ/4ℤ. The witness is the generator from Cremona's tables. -
submitted curve #2827 — rank ≥ 1, torsion ℤ/2ℤ × ℤ/4ℤ, log |Δ| = 20.45
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commented on curve #2826
Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 27). Published independent points; exact point coordinates checked. -
submitted curve #2826 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 208.95
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commented on curve #2825
Eroshkin (2009). Source: https://dujella.github.io/tors/z7old5.html (curve entry 6). Published independent points; exact point coordinates checked. -
submitted curve #2825 — rank ≥ 5, torsion ℤ/7ℤ, log |Δ| = 204.99
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commented on curve #2824
Cremona 413231b1 = LMFDB 413231.b2: https://www.lmfdb.org/EllipticCurve/Q/413231/b/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 413231, minimal discriminant 448479191069, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2824 — rank ≥ 3, torsion ℤ/3ℤ, log |Δ| = 26.83
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commented on curve #2823
2-isogenous to curve#1666 via the rational 2-torsion point x=-1316976. 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 independ… -
submitted curve #2823 — rank ≥ 5, torsion ℤ/6ℤ, log |Δ| = 93.10
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commented on curve #2822
2-isogenous to curve#1269 via the rational 2-torsion point x=57. 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… -
submitted curve #2822 — rank ≥ 5, torsion ℤ/2ℤ, log |Δ| = 46.65
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commented on curve #2821
Dujella - Peral (2012). Source: https://dujella.github.io/tors/z8old5.html (curve entry 7). Published independent points; exact point coordinates checked. -
commented on curve #2820
Cremona 474734e1 = LMFDB 474734.e1: https://www.lmfdb.org/EllipticCurve/Q/474734/e/1 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 474734, minimal discriminant -912438748, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2820 — rank ≥ 3, torsion ℤ/3ℤ, log |Δ| = 20.63
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submitted curve #2821 — rank ≥ 5, torsion ℤ/8ℤ, log |Δ| = 218.80
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commented on curve #2819
2-isogenous to curve#1652 via the rational 2-torsion point x=-8541. 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 independenc… -
submitted curve #2819 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 64.52
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commented on curve #2818
2-isogenous to curve#1707 via the rational 2-torsion point x=33265. 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 independenc… -
submitted curve #2818 — rank ≥ 5, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 71.29
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commented on curve #2817
Cremona 447764a1 = LMFDB 447764.a2: https://www.lmfdb.org/EllipticCurve/Q/447764/a/2 Mordell–Weil rank exactly 3 (Cremona's tables). Conductor 447764, minimal discriminant 15159497984, torsion ℤ/3ℤ. The witnesses are the generators from Cremona's tables. -
submitted curve #2817 — rank ≥ 3, torsion ℤ/3ℤ, log |Δ| = 23.44
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commented on curve #2816
2-isogenous to curve#1667 via the rational 2-torsion point x=155688. 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 #2816 — rank ≥ 5, torsion ℤ/6ℤ, log |Δ| = 94.18
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commented on curve #2815
2-isogenous to curve#1669 via the rational 2-torsion point x=1224183. 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…