Elliptic curve isogeny class data - 1728.f

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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, 0, 0, 0, -2, 0, -1, 0, 0, 0, 2, 0, -1, 0, 0, 0, 6, 0, -5, 0], 'aplist': [0, 0, -2, -1, 2, -1, 6, -5, 6, -8, -8, 5, 8, -4, -10, -4, -14, -3, -13, -4, 9, -11, 12, -2, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 1728, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1728.f', 'trace_hash': 1422497514562332625}
• ec_padic •

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

  
  
  • id: 48064
    {'lmfdb_iso': '1728.f', 'p': 5, 'prec': 20, 'unit': 3067656095684, 'val': 2}
  • id: 48065
    {'lmfdb_iso': '1728.f', 'p': 7, 'prec': 20, 'unit': 8653158557454762, 'val': 1}
  • id: 48066
    {'lmfdb_iso': '1728.f', 'p': 11, 'prec': 20, 'unit': 23500397849077771268, 'val': 1}
  • id: 48067
    {'lmfdb_iso': '1728.f', 'p': 13, 'prec': 20, 'unit': 493734101641216003092, 'val': 1}
  • id: 48068
    {'lmfdb_iso': '1728.f', 'p': 17, 'prec': 20, 'unit': 89490538818653837606326, 'val': 1}
  • id: 48069
    {'lmfdb_iso': '1728.f', 'p': 19, 'prec': 20, 'unit': 1634283903602646994534459, 'val': 1}
  • id: 48070
    {'lmfdb_iso': '1728.f', 'p': 23, 'prec': 20, 'unit': 1779244628301509746538416, 'val': 2}
  • id: 48071
    {'lmfdb_iso': '1728.f', 'p': 29, 'prec': 20, 'unit': 3584099493336696032438639205, 'val': 1}
  • id: 48072
    {'lmfdb_iso': '1728.f', 'p': 31, 'prec': 20, 'unit': 15512523398143182372823872894, 'val': 1}
  • id: 48073
    {'lmfdb_iso': '1728.f', 'p': 37, 'prec': 20, 'unit': 609009614832102475906326367016, 'val': 1}
  • id: 48074
    {'lmfdb_iso': '1728.f', 'p': 41, 'prec': 20, 'unit': 437530285509824177972150091093, 'val': 1}
  • id: 48075
    {'lmfdb_iso': '1728.f', 'p': 43, 'prec': 20, 'unit': 3070405227463452067462800820837, 'val': 1}
  • id: 48076
    {'lmfdb_iso': '1728.f', 'p': 47, 'prec': 20, 'unit': 54241519974302459606211188685987, 'val': 1}
  • id: 48077
    {'lmfdb_iso': '1728.f', 'p': 53, 'prec': 20, 'unit': 24326461838527198476825021174, 'val': 3}
  • id: 48078
    {'lmfdb_iso': '1728.f', 'p': 59, 'prec': 20, 'unit': 4069978538550152423250582401459545, 'val': 1}
  • id: 48079
    {'lmfdb_iso': '1728.f', 'p': 61, 'prec': 20, 'unit': 3187351749433350679583675264659918, 'val': 1}
  • id: 48080
    {'lmfdb_iso': '1728.f', 'p': 67, 'prec': 20, 'unit': 9726850283885030916690538345572377, 'val': 1}
  • id: 48081
    {'lmfdb_iso': '1728.f', 'p': 71, 'prec': 20, 'unit': 15969424057973027019996077424863497, 'val': 1}
  • id: 48082
    {'lmfdb_iso': '1728.f', 'p': 73, 'prec': 20, 'unit': 112114900001643785334107180112409974, 'val': 1}
  • id: 48083
    {'lmfdb_iso': '1728.f', 'p': 79, 'prec': 20, 'unit': 43646883803637462980367068395609128, 'val': 1}
  • id: 48084
    {'lmfdb_iso': '1728.f', 'p': 83, 'prec': 20, 'unit': 2494646001181006905741113794214079717, 'val': 1}
  • id: 48085
    {'lmfdb_iso': '1728.f', 'p': 89, 'prec': 20, 'unit': 494220198702480355505369933819301199, 'val': 1}
  • id: 48086
    {'lmfdb_iso': '1728.f', 'p': 97, 'prec': 20, 'unit': 1282836072322073970953920245093112683023, '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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '1728d', 'Clabel': '1728d1', 'Cnumber': 1, 'abc_quality': 1.2262943855309167, 'absD': 11337408, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, 54, -54], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1728, 'degree': 288, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.042505036518650013230860837268', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [1536, 1], 'lmfdb_iso': '1728.f', 'lmfdb_label': '1728.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 24, 16], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0219405632636359960034255085', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 27], [3, 4, 64]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3111298183737565252567300240', 'prec': 103}, 'szpiro_ratio': 3.1631711630466106, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}