Elliptic curve isogeny class data - 15631.b

Formats: - HTML - YAML - JSON - 2024-04-29T12:49:39.014082

• 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, -2, 0, 0, 0, 0, -2, 0, -1, 2, -2, 0, 0, 4, -6, 0, 7, 0], 'aplist': [0, -1, 0, 0, -1, -2, -6, 7, -3, 1, 4, 2, -9, -4, 9, 9, 6, -2, -13, -9, 1, -10, 6, 15, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 15631, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '15631.b', 'trace_hash': 1184728393394005291}
• ec_padic •

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

  
  
  • id: 704456
    {'lmfdb_iso': '15631.b', 'p': 13, 'prec': 20, 'unit': 1443432349755120803888, 'val': 1}
  • id: 704458
    {'lmfdb_iso': '15631.b', 'p': 17, 'prec': 20, 'unit': 175259027463545186797750, 'val': 1}
  • id: 704449
    {'lmfdb_iso': '15631.b', 'p': 19, 'prec': 20, 'unit': 35951991492034097163351, 'val': 1}
  • id: 704463
    {'lmfdb_iso': '15631.b', 'p': 23, 'prec': 20, 'unit': 21058266294263698389701001, 'val': 1}
  • id: 704467
    {'lmfdb_iso': '15631.b', 'p': 31, 'prec': 20, 'unit': 21611736154475968177350657009, 'val': 1}
  • id: 704452
    {'lmfdb_iso': '15631.b', 'p': 37, 'prec': 20, 'unit': 540884871877423995289361824553, 'val': 1}
  • id: 704454
    {'lmfdb_iso': '15631.b', 'p': 41, 'prec': 20, 'unit': 3824715754711761956320669057195, 'val': 1}
  • id: 704455
    {'lmfdb_iso': '15631.b', 'p': 43, 'prec': 20, 'unit': 8658449336116794224353883016591, 'val': 1}
  • id: 704465
    {'lmfdb_iso': '15631.b', 'p': 47, 'prec': 20, 'unit': 28827048563786504725167058558352, 'val': 1}
  • id: 704460
    {'lmfdb_iso': '15631.b', 'p': 53, 'prec': 20, 'unit': 111844433273444570550123995643635, 'val': 1}
  • id: 704461
    {'lmfdb_iso': '15631.b', 'p': 59, 'prec': 20, 'unit': 3723451857286901756220450563921786, 'val': 1}
  • id: 704466
    {'lmfdb_iso': '15631.b', 'p': 61, 'prec': 20, 'unit': 814428031613436539611010959721842, 'val': 1}
  • id: 704451
    {'lmfdb_iso': '15631.b', 'p': 67, 'prec': 20, 'unit': 15479262807579010515966038489467327, 'val': 1}
  • id: 704453
    {'lmfdb_iso': '15631.b', 'p': 71, 'prec': 20, 'unit': 11854118086079734250085760609223998, 'val': 1}
  • id: 704462
    {'lmfdb_iso': '15631.b', 'p': 73, 'prec': 20, 'unit': 6097373470817535532648457162218192680, 'val': -1}
  • id: 704457
    {'lmfdb_iso': '15631.b', 'p': 79, 'prec': 20, 'unit': 960997224049107343049426326339616212, 'val': 1}
  • id: 704459
    {'lmfdb_iso': '15631.b', 'p': 83, 'prec': 20, 'unit': 489401046489705419065860221168993173, 'val': 1}
  • id: 704464
    {'lmfdb_iso': '15631.b', 'p': 89, 'prec': 20, 'unit': 7658713998606855895592204847797252682, 'val': 1}
  • id: 704450
    {'lmfdb_iso': '15631.b', 'p': 97, 'prec': 20, 'unit': 28943225073072020095110080605067654289, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 102891
    {'Ciso': '15631b', 'Clabel': '15631b1', 'Cnumber': 1, 'abc_quality': 0.8485979460414266, 'absD': 2430332217467, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1218, 'ainvs': [0, -1, 1, -3103, -99233], 'analytic_rank': 1, 'bad_primes': [7, 11, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 15631, 'degree': 16128, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0760296414493434760974432229', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-28094464000, 20657483], 'lmfdb_iso': '15631.b', 'lmfdb_label': '15631.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -63, 271], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.1', '174.8.0.?', '406.2.0.?', '1218.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67761891874283339115228448482', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.10307456692168682354476685118', 'prec': 103}, 'szpiro_ratio': 3.785263470610128, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 102892
    {'Ciso': '15631b', 'Clabel': '15631b2', 'Cnumber': 2, 'abc_quality': 0.9726989670616614, 'absD': 2073177414745283, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1218, 'ainvs': [0, -1, 1, 25317, 1539180], 'analytic_rank': 1, 'bad_primes': [7, 11, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 15631, 'degree': 48384, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6253357857833983217950658414', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [15252992000000, 17621717267], 'lmfdb_iso': '15631.b', 'lmfdb_label': '15631.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 517, -4340], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '21.8.0-3.a.1.2', '174.8.0.?', '406.2.0.?', '1218.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0328567562285001734568534545', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.65238071125574166924238946968', 'prec': 103}, 'szpiro_ratio': 4.35240841559881, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}