Elliptic curve isogeny class data - 72963.p

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• 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, 0, -1, 0, 0, 0, -3, 0, 0, 0, 0, -4, 0, 0, -1, 2, 0, 2, 0], 'aplist': [1, 0, 0, 0, 0, -4, 2, 2, -2, -2, 8, -6, -6, 12, 6, -4, 6, 4, -1, -2, 10, -8, 8, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 72963, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '72963.p', 'trace_hash': 1200312353913013982}
• ec_padic •

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

  
  
  • id: 3747023
    {'lmfdb_iso': '72963.p', 'p': 13, 'prec': 20, 'unit': 207448407431761330727, 'val': 1}
  • id: 3747025
    {'lmfdb_iso': '72963.p', 'p': 17, 'prec': 20, 'unit': 93561017680770340046170, 'val': 1}
  • id: 3747026
    {'lmfdb_iso': '72963.p', 'p': 19, 'prec': 20, 'unit': 1605890472669774971829396, 'val': 1}
  • id: 3747029
    {'lmfdb_iso': '72963.p', 'p': 23, 'prec': 20, 'unit': 33696800702477509307860113, 'val': 1}
  • id: 3747022
    {'lmfdb_iso': '72963.p', 'p': 29, 'prec': 20, 'unit': 3569218433074607154627872257, 'val': 1}
  • id: 3747033
    {'lmfdb_iso': '72963.p', 'p': 31, 'prec': 20, 'unit': 10906892390865599901739997727, 'val': 1}
  • id: 3747018
    {'lmfdb_iso': '72963.p', 'p': 37, 'prec': 20, 'unit': 217450686894825630795633571189, 'val': 1}
  • id: 3747020
    {'lmfdb_iso': '72963.p', 'p': 41, 'prec': 20, 'unit': 738892368213499115125207378675, 'val': 1}
  • id: 3747021
    {'lmfdb_iso': '72963.p', 'p': 43, 'prec': 20, 'unit': 3042197349180300171159185177145, 'val': 1}
  • id: 3747031
    {'lmfdb_iso': '72963.p', 'p': 47, 'prec': 20, 'unit': 26054989003011723394190270096022, 'val': 1}
  • id: 3747027
    {'lmfdb_iso': '72963.p', 'p': 53, 'prec': 20, 'unit': 127405518525923290980318226413705, 'val': 1}
  • id: 3747017
    {'lmfdb_iso': '72963.p', 'p': 59, 'prec': 20, 'unit': 2939328870394823337647069120807467, 'val': 1}
  • id: 3747032
    {'lmfdb_iso': '72963.p', 'p': 61, 'prec': 20, 'unit': 3910678112247324162323844899987220, 'val': 1}
  • id: 3747019
    {'lmfdb_iso': '72963.p', 'p': 71, 'prec': 20, 'unit': 94229934491713123626809747780557378, 'val': 1}
  • id: 3747028
    {'lmfdb_iso': '72963.p', 'p': 73, 'prec': 20, 'unit': 161795169653654106951220908034629437, 'val': 1}
  • id: 3747024
    {'lmfdb_iso': '72963.p', 'p': 79, 'prec': 20, 'unit': 104359967557193467175921062546894594, 'val': 1}
  • id: 3747016
    {'lmfdb_iso': '72963.p', 'p': 83, 'prec': 20, 'unit': 116086837206723340925588782139802031, 'val': 1}
  • id: 3747030
    {'lmfdb_iso': '72963.p', 'p': 89, 'prec': 20, 'unit': 45861778818626526724036118124271856, 'val': 2}
  • id: 3747015
    {'lmfdb_iso': '72963.p', 'p': 97, 'prec': 20, 'unit': 41894301295022399157858432731927174292, '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: 482328
    {'Ciso': '72963i', 'Clabel': '72963i2', 'Cnumber': 2, 'abc_quality': 0.9003678870381097, 'absD': 1379612314837654227, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8844, 'ainvs': [1, -1, 0, -479727, 114848014], 'analytic_rank': 1, 'bad_primes': [3, 11, 67], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 72963, 'degree': 691200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2133169365329030085345932033', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [9454162623625, 1068251283], 'lmfdb_iso': '72963.p', 'lmfdb_label': '72963.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -440, 3009], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '268.6.0.?', '8844.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2731655655545701157750885520', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 8107], [11, 72, 603], [67, 68, 1089]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46506315579966289080599879586', 'prec': 103}, 'szpiro_ratio': 4.541690387783249, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 482327
    {'Ciso': '72963i', 'Clabel': '72963i1', 'Cnumber': 1, 'abc_quality': 0.8650211044635711, 'absD': 23149017053374113, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8844, 'ainvs': [1, -1, 0, -114912, -13056125], 'analytic_rank': 1, 'bad_primes': [3, 11, 67], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 72963, 'degree': 345600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8667433462529303538259771426', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [129938649625, 17924577], 'lmfdb_iso': '72963.p', 'lmfdb_label': '72963.p2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -105, -408], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '268.6.0.?', '8844.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1365827827772850578875442760', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 8107], [11, 72, 603], [67, 68, 1089]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11848956551969023609738273516', 'prec': 103}, 'szpiro_ratio': 4.15883095812808, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}