{
  "id": 5412,
  "curve_key": "0:929543035367519101800",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-1075859994638332294"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 96.56244955892691,
  "faltings_height": 6.104526705702205,
  "conductor": "3048493110948325641100195798503075",
  "bad_primes": [
    "3",
    "5",
    "708385181654869"
  ],
  "discriminant": "-500029082523299113281459615849466876875",
  "regulator": "343364232727797344.985190623392685090834150181693966569899022",
  "points": [
    [
      "117814786609813919686/12423954206169",
      "-1277984441336827217876573782870/43791494099598862947"
    ],
    [
      "420912830165921329/75177962596",
      "-272240708478928074690923461/20612744852346856"
    ],
    [
      "531464031420664/518154169",
      "666965470441065874827/11794743348947"
    ],
    [
      "108136479397518152956/36169001880489",
      "-1101629770739922090487080548573/217522800632386838763"
    ],
    [
      "7175832074288848561/6379493886756",
      "-9496000729352324800865343707/16113108756376155096"
    ],
    [
      "17868936316634734/1412782569",
      "-2387990301507095474120966/53102258421003"
    ],
    [
      "9954469372485116040440796604/195633645277781107089",
      "993174130306725711628728256881974566869727/2736310147019748319275704751687"
    ],
    [
      "698429090218864/76090729",
      "18445106962853559258691/663739429067"
    ],
    [
      "645381799988557668754869136270506331707325982894872237156471128897676/1401140914532423799970831327373230830016658637337408514996329",
      "-16395515215581090536077648601947556267552283860525978069186459233036467630019093996909855075628971247997/1658527674178769808816372524190046350122488523628265352972338607414417795149944684236872267"
    ],
    [
      "1651690561467004619115372666502844170252616915090009462309491936/20439391208475390461141325122613150864900168417532565929",
      "67126281186996211985090342790351093448306765582269608057592315816797167198236069932607183400370/92406375099981500502601323864326913071658912126398378432962434773990000326188863467"
    ],
    [
      "4999642321291827652784645181395962405564288989961682056849/93607287374773142763739660218847791554924416313104",
      "353514205621839245678821646598200432304345689866911560343478018552131341193703491115097/905658547196006928421044567364377795900553418316556576541170557792782368192"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #5379:\r\nhttps://elliptic-rank.icarm.cloud/curve/5379\r\n\r\nThe source is attributed in ICARM to Reynya–Voznyy (2026). The 11 submitted source points were transported through the exact degree-3 isogeny and checked exactly on this minimal target model. Rank ≥11 is preserved under the rational isogeny. Rational torsion is trivial.\r\n",
  "created_at": "2026-10-21 22:12:03",
  "updated_at": "2026-10-21 22:12:03"
}