Elliptic curve isogeny class data - 86700.bc

Formats: - HTML - YAML - JSON - 2025-10-30T07:37:36.078345

• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 1, 0, 0, 0, -5, 0, 1, 0, 5, 0, 0, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 1, 0, -5, 5, 0, 0, 1, -8, 3, 8, -3, -5, 4, -1, 1, 6, 4, -2, -8, -17, -10, -8, -18, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 86700, 'isogeny_matrix': [[1]], 'lmfdb_iso': '86700.bc', 'trace_hash': 285839239275690440}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 4480726
    {'lmfdb_iso': '86700.bc', 'p': 7, 'prec': 20, 'unit': 7915249224792592, 'val': 1}
  • id: 4480731
    {'lmfdb_iso': '86700.bc', 'p': 11, 'prec': 20, 'unit': 3409540472570511386, 'val': 2}
  • id: 4480733
    {'lmfdb_iso': '86700.bc', 'p': 19, 'prec': 20, 'unit': 188979437851910487048869, 'val': -1}
  • id: 4480736
    {'lmfdb_iso': '86700.bc', 'p': 23, 'prec': 20, 'unit': 46191773149232469738692606, 'val': 1}
  • id: 4480729
    {'lmfdb_iso': '86700.bc', 'p': 29, 'prec': 20, 'unit': 2204290590672255499192512, 'val': 1}
  • id: 4480741
    {'lmfdb_iso': '86700.bc', 'p': 31, 'prec': 20, 'unit': 17144417782640315461540697400, 'val': 1}
  • id: 4480725
    {'lmfdb_iso': '86700.bc', 'p': 37, 'prec': 20, 'unit': 428879416521557197226670598040, 'val': 1}
  • id: 4480727
    {'lmfdb_iso': '86700.bc', 'p': 41, 'prec': 20, 'unit': 1950696763996074335683167671101, 'val': 1}
  • id: 4480728
    {'lmfdb_iso': '86700.bc', 'p': 43, 'prec': 20, 'unit': 8121439425392746150039867388406, 'val': 1}
  • id: 4480739
    {'lmfdb_iso': '86700.bc', 'p': 47, 'prec': 20, 'unit': 10157536637400359535691136034350, 'val': 1}
  • id: 4480734
    {'lmfdb_iso': '86700.bc', 'p': 53, 'prec': 20, 'unit': 25814528780433364334043683523513895, 'val': -1}
  • id: 4480732
    {'lmfdb_iso': '86700.bc', 'p': 59, 'prec': 20, 'unit': 4214966837671535195301970450299770, 'val': 1}
  • id: 4480740
    {'lmfdb_iso': '86700.bc', 'p': 61, 'prec': 20, 'unit': 4370196833024597246338720476390768, 'val': 1}
  • id: 4480724
    {'lmfdb_iso': '86700.bc', 'p': 67, 'prec': 20, 'unit': 48460547711980632033316390295032386, 'val': 1}
  • id: 4480738
    {'lmfdb_iso': '86700.bc', 'p': 71, 'prec': 20, 'unit': 143479729032742562657450068084262326, 'val': 1}
  • id: 4480735
    {'lmfdb_iso': '86700.bc', 'p': 73, 'prec': 20, 'unit': 48198393329887537165239283463525129, 'val': 1}
  • id: 4480730
    {'lmfdb_iso': '86700.bc', 'p': 79, 'prec': 20, 'unit': 752535656554149311719159583111805859, 'val': 1}
  • id: 4480723
    {'lmfdb_iso': '86700.bc', 'p': 83, 'prec': 20, 'unit': 2824085281330918485309842895326990619, 'val': 1}
  • id: 4480737
    {'lmfdb_iso': '86700.bc', 'p': 89, 'prec': 20, 'unit': 7406316976722420406237618722620518289, 'val': 1}
  • id: 4480722
    {'lmfdb_iso': '86700.bc', 'p': 97, 'prec': 20, 'unit': 29547683257676539154052215573238184438, 'val': 1}
• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '86700bp', 'Clabel': '86700bp1', 'Cnumber': 1, 'abc_quality': 0.9824763096629231, 'absD': 6309918828639843750000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 510, 'ainvs': [0, 1, 0, -1230658, 3857363813], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 86700, 'degree': 7464960, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8634397080783932299958551908', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1], 'jinv': [-34158804736, 1045659375], 'lmfdb_iso': '86700.bc', 'lmfdb_label': '86700.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -170, 6225], 'min_quad_twist_disc': 85, 'modell_images': [], 'modm_images': ['510.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7456776456674597993120998324', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 21675], [3, 4, 28900], [5, 14, 3468], [17, 162, 300]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41106501964658656609829750810', 'prec': 103}, 'szpiro_ratio': 5.072013809871289, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}