Recent activity
-
submitted curve #2640 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 72.45
-
commented on curve #2639
2-isogenous to curve#2069 via the rational 2-torsion point x=1772. 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 #2639 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 53.09
-
commented on curve #2638
Exact computational search in the full 2-torsion/3-torsion family with p=-10, q=23; A=(3q-p)(p+q)^3=173563, B=-(p+3q)(p-q)^3=2120283. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound i… -
submitted curve #2638 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 76.68
-
commented on curve #2637
2-isogenous to curve#2068 via the rational 2-torsion point x=2641. 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 #2637 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 56.11
-
commented on curve #2636
Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=16; A=(3q-p)(p+q)^3=-787185, B=-(p+3q)(p-q)^3=1637647. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound … -
submitted curve #2636 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 79.63
-
commented on curve #2635
3-isogenous to S-1179; original source https://elliptic-rank.icarm.cloud/curve/1179. Rational 3-torsion kernel with x=25484; independent point witnesses transported by explicit Vélu map. -
submitted curve #2635 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 68.04
-
commented on curve #2634
Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=24; A=(3q-p)(p+q)^3=-12625, B=-(p+3q)(p-q)^3=6401711. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound i… -
submitted curve #2634 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 76.03
-
commented on curve #2633
Exact computational search in the full 2-torsion/3-torsion family with p=-13, q=24; A=(3q-p)(p+q)^3=113135, B=-(p+3q)(p-q)^3=2988527. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound i… -
submitted curve #2633 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 77.29
-
commented on curve #2632
Exact computational search in the full 2-torsion/3-torsion family with p=-38, q=17; A=(3q-p)(p+q)^3=-824229, B=-(p+3q)(p-q)^3=2162875. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound … -
submitted curve #2632 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 80.69
-
commented on curve #2631
Exact computational search in the full 2-torsion/3-torsion family with p=-31, q=18; A=(3q-p)(p+q)^3=-186745, B=-(p+3q)(p-q)^3=2705927. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound … -
submitted curve #2631 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 78.11
-
commented on curve #2630
2-isogenous to curve#2067 via the rational 2-torsion point x=1582. 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 #2630 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/2ℤ, log |Δ| = 52.99
-
commented on curve #2629
Exact computational search in the full 2-torsion/3-torsion family with p=-29, q=22; A=(3q-p)(p+q)^3=-32585, B=-(p+3q)(p-q)^3=4908087. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound i… -
submitted curve #2629 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 76.88
-
commented on curve #2628
Exact computational search in the full 2-torsion/3-torsion family with p=-47, q=8; A=(3q-p)(p+q)^3=-4211649, B=-(p+3q)(p-q)^3=-3826625. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound… -
submitted curve #2628 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 81.00
-
commented on curve #2627
Exact computational search in the full 2-torsion/3-torsion family with p=-15, q=26; A=(3q-p)(p+q)^3=123783, B=-(p+3q)(p-q)^3=4342023. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound i… -
submitted curve #2627 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 78.98
-
commented on curve #2626
Exact computational search in the full 2-torsion/3-torsion family with p=-30, q=23; A=(3q-p)(p+q)^3=-33957, B=-(p+3q)(p-q)^3=5806203. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound i… -
submitted curve #2626 — rank ≥ 2, torsion ℤ/2ℤ × ℤ/6ℤ, log |Δ| = 77.63
-
commented on curve #2625
Exact computational search in the full 2-torsion/3-torsion family with p=-37, q=20; A=(3q-p)(p+q)^3=-476561, B=-(p+3q)(p-q)^3=4259439. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound …