Elliptic curve isogeny class data - 80850.bn

Formats: - HTML - YAML - JSON - 2025-10-16T07:31:33.884488

• 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, -1, -1, 1, 0, 1, 0, -1, 1, 0, 1, -1, 2, 0, 0, 1, -4, -1, 0, 0], 'aplist': [-1, -1, 0, 0, 1, 2, -4, 0, 2, 0, -8, 12, 2, 12, 0, 12, 6, -10, 8, 8, 0, -14, -14, -4, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 80850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '80850.bn', 'trace_hash': 358771205500235489}
• ec_padic •

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

  
  
  • id: 4166275
    {'lmfdb_iso': '80850.bn', 'p': 13, 'prec': 20, 'unit': 1037415498023275699635, 'val': 1}
  • id: 4166277
    {'lmfdb_iso': '80850.bn', 'p': 17, 'prec': 20, 'unit': 188611149071723946007827, 'val': 1}
  • id: 4166280
    {'lmfdb_iso': '80850.bn', 'p': 23, 'prec': 20, 'unit': 47094117406193189159705035, 'val': 1}
  • id: 4166284
    {'lmfdb_iso': '80850.bn', 'p': 31, 'prec': 20, 'unit': 2280850575395924720256447912, 'val': 1}
  • id: 4166271
    {'lmfdb_iso': '80850.bn', 'p': 37, 'prec': 20, 'unit': 231573573195962065514412853160, 'val': 1}
  • id: 4166273
    {'lmfdb_iso': '80850.bn', 'p': 41, 'prec': 20, 'unit': 1633694029933201531146767356006, 'val': 1}
  • id: 4166274
    {'lmfdb_iso': '80850.bn', 'p': 43, 'prec': 20, 'unit': 57651452362064934042289375054, 'val': 2}
  • id: 4166279
    {'lmfdb_iso': '80850.bn', 'p': 53, 'prec': 20, 'unit': 133715802118199862699942074463454, 'val': 1}
  • id: 4166282
    {'lmfdb_iso': '80850.bn', 'p': 59, 'prec': 20, 'unit': 2296520867521091962927993617750420, 'val': 1}
  • id: 4166283
    {'lmfdb_iso': '80850.bn', 'p': 61, 'prec': 20, 'unit': 4856132301866768387720289516834838, 'val': 1}
  • id: 4166270
    {'lmfdb_iso': '80850.bn', 'p': 67, 'prec': 20, 'unit': 10226979793190768843894655759797451, 'val': 1}
  • id: 4166272
    {'lmfdb_iso': '80850.bn', 'p': 71, 'prec': 20, 'unit': 1865950651284881795088234490971212, 'val': 1}
  • id: 4166276
    {'lmfdb_iso': '80850.bn', 'p': 79, 'prec': 20, 'unit': 288706499221150142729014725620433507, 'val': 1}
  • id: 4166278
    {'lmfdb_iso': '80850.bn', 'p': 83, 'prec': 20, 'unit': 2481971743860969412843635123399360404, 'val': 1}
  • id: 4166281
    {'lmfdb_iso': '80850.bn', 'p': 89, 'prec': 20, 'unit': 505609866736097816729831168185497372, 'val': 1}
  • id: 4166269
    {'lmfdb_iso': '80850.bn', 'p': 97, 'prec': 20, 'unit': 46003231826405690327562075971272041312, '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[]

  
  
  • id: 532809
    {'Ciso': '80850s', 'Clabel': '80850s2', 'Cnumber': 2, 'abc_quality': 1.0288984965396872, 'absD': 144123893537916600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [1, 1, 0, -41643025, -101825424875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 80850, 'degree': 13271040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2391337376958138886465129519', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2], 'jinv': [1490171974311284012503, 26891921826316800], 'lmfdb_iso': '80850.bn', 'lmfdb_label': '80850.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1665721, -814603399], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.a.1', '440.6.0.?', '1540.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7108719382776040713728643646', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 13475], [5, 18, 294], [7, 20, 1650], [11, 12, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9479372442149353750697950994', 'prec': 100}, 'szpiro_ratio': 5.685446157774112, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 532808
    {'Ciso': '80850s', 'Clabel': '80850s1', 'Cnumber': 1, 'abc_quality': 1.0248194533545576, 'absD': 7422625271255040000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3080, 'ainvs': [1, 1, 0, -5355025, 2357423125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 80850, 'degree': 6635520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8925601474158412339378968912', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2], 'jinv': [3168795413730153943, 1384979642449920], 'lmfdb_iso': '80850.bn', 'lmfdb_label': '80850.bn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -214201, 18859385], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '440.6.0.?', '770.6.0.?', '3080.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85543596913880203568643218231', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1925], [3, 4, 13475], [5, 18, 294], [7, 20, 1650], [11, 12, 7350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6013636539349627203611790387', 'prec': 100}, 'szpiro_ratio': 5.140923658890319, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}