Elliptic curve isogeny class data - 56784.x

Formats: - HTML - YAML - JSON - 2025-10-13T08:54:53.333337

• 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, 1, 0, 1, 0, 3, 0, 0, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, -1, 0, 1, 3, 0, 3, 5, -6, -3, -4, 4, 3, -8, 9, -9, -6, 5, 14, -6, 4, 1, -6, 9, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 56784, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '56784.x', 'trace_hash': 1018377001600481824}
• ec_padic •

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

  
  
  • id: 2876852
    {'lmfdb_iso': '56784.x', 'p': 11, 'prec': 20, 'unit': 35231867792403227348, 'val': 1}
  • id: 2876853
    {'lmfdb_iso': '56784.x', 'p': 17, 'prec': 20, 'unit': 141924745746852441606699, 'val': 1}
  • id: 2876854
    {'lmfdb_iso': '56784.x', 'p': 19, 'prec': 20, 'unit': 232826009149356556787853, 'val': 1}
  • id: 2876858
    {'lmfdb_iso': '56784.x', 'p': 23, 'prec': 20, 'unit': 22848630699876506642374776, 'val': 1}
  • id: 2876850
    {'lmfdb_iso': '56784.x', 'p': 29, 'prec': 20, 'unit': 4530803889532755747028115213, 'val': 1}
  • id: 2876862
    {'lmfdb_iso': '56784.x', 'p': 31, 'prec': 20, 'unit': 10773024518026250585874076012, 'val': 1}
  • id: 2876846
    {'lmfdb_iso': '56784.x', 'p': 37, 'prec': 20, 'unit': 422881432292037014399668510979, 'val': 1}
  • id: 2876848
    {'lmfdb_iso': '56784.x', 'p': 41, 'prec': 20, 'unit': 2087547454240240304835508654241, 'val': 1}
  • id: 2876849
    {'lmfdb_iso': '56784.x', 'p': 43, 'prec': 20, 'unit': 225962389316611263100852216636, 'val': 1}
  • id: 2876860
    {'lmfdb_iso': '56784.x', 'p': 47, 'prec': 20, 'unit': 24946063750330203347069003276283, 'val': 1}
  • id: 2876855
    {'lmfdb_iso': '56784.x', 'p': 53, 'prec': 20, 'unit': 234348498977298449885496822197133, 'val': 1}
  • id: 2876856
    {'lmfdb_iso': '56784.x', 'p': 59, 'prec': 20, 'unit': 57123483757526807905901612421892, 'val': 2}
  • id: 2876861
    {'lmfdb_iso': '56784.x', 'p': 61, 'prec': 20, 'unit': 5319435021841125070427295551392515, 'val': 1}
  • id: 2876845
    {'lmfdb_iso': '56784.x', 'p': 67, 'prec': 20, 'unit': 32681728812350434877374057208112626, 'val': 1}
  • id: 2876847
    {'lmfdb_iso': '56784.x', 'p': 71, 'prec': 20, 'unit': 144943923636315659487626876931225508, 'val': 1}
  • id: 2876857
    {'lmfdb_iso': '56784.x', 'p': 73, 'prec': 20, 'unit': 27329444435935601593882537590266545, 'val': 1}
  • id: 2876851
    {'lmfdb_iso': '56784.x', 'p': 79, 'prec': 20, 'unit': 45322835962341630602403615491773021693, 'val': -1}
  • id: 2876844
    {'lmfdb_iso': '56784.x', 'p': 83, 'prec': 20, 'unit': 1679038048868395866259412448353036887, 'val': 1}
  • id: 2876859
    {'lmfdb_iso': '56784.x', 'p': 89, 'prec': 20, 'unit': 4712300525921626986601345347892437571, 'val': 1}
  • id: 2876843
    {'lmfdb_iso': '56784.x', 'p': 97, 'prec': 20, 'unit': 16351819184499627714147352613213426653, '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: 376737
    {'Ciso': '56784bu', 'Clabel': '56784bu2', 'Cnumber': 2, 'abc_quality': 0.9965723308648884, 'absD': 1162087531418591232, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -13947288, 20053123440], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 56784, 'degree': 1886976, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6797173474574055187628170169', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [531373116625, 2058], 'lmfdb_iso': '56784.x', 'lmfdb_label': '56784.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5158, -143014], 'min_quad_twist_disc': -52, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '156.8.0.?', '168.8.0.?', '2184.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0302585438678383820801076872', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 4, 2704], [7, 8, 8112], [13, 50, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15088763098715373736565463919', 'prec': 107}, 'szpiro_ratio': 5.569191104912987, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 376736
    {'Ciso': '56784bu', 'Clabel': '56784bu1', 'Cnumber': 1, 'abc_quality': 1.1348018921255314, 'absD': 853778594511618048, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2184, 'ainvs': [0, -1, 0, -238008, 4672368], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 56784, 'degree': 628992, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1304112031233506730651943984', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [2640625, 1512], 'lmfdb_iso': '56784.x', 'lmfdb_label': '56784.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -88, -40], 'min_quad_twist_disc': -52, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '156.8.0.?', '168.8.0.?', '2184.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.090775631603515146240323062', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3549], [3, 4, 18928], [7, 8, 8112], [13, 50, 336]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.70019377532120858306327725769', 'prec': 107}, 'szpiro_ratio': 4.4536166942453645, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}