Elliptic curve isogeny class data - 503803.a

Formats: - HTML - YAML - JSON - 2024-05-30T22:36:58.681003

• 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, -2, 0, 2, -2, 0, 0, 0, -3, 4, 2, 0, -3, 0, 0, -4, -3, 6, -7, -4], 'aplist': [-2, 0, -2, 0, 2, -3, -3, -7, 3, 2, -4, 6, 6, 10, -5, -6, -3, -5, -4, 12, 6, -10, 1, -2, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 503803, 'isogeny_matrix': [[1]], 'lmfdb_iso': '503803.a', 'trace_hash': 1909645110869521136}
• lmfdb_iso 503803.a does not appear in ec_padic
• 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[]

  
  {'abc_quality': 0.6627250148808269, 'absD': 503803, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1007606, 'ainvs': [0, 0, 1, 19, 12], 'analytic_rank': 2, 'bad_primes': [503803], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 503803, 'degree': 51292, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.21706644642436379110807202981', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [758550528, 503803], 'lmfdb_iso': '503803.a', 'lmfdb_label': '503803.a1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [0, 0, 1, 19, 12], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['1007606.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 1, 'num_int_pts': 6, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.2461458040821162713688613327', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.21706644642436379110807202981', 'prec': 107}, 'szpiro_ratio': 1.5572743698412939, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}