Elliptic curve isogeny class data - 299538.z

Formats: - HTML - YAML - JSON - 2025-10-30T17:12:59.796743

• 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, 3, 0, 4, 1, 0, 3, 0, 0, -1, 4, 0, 1, -3, 0, 4, 3], 'aplist': [1, 0, 3, 4, 0, -1, -3, 4, 0, -9, -4, 1, 6, 0, -12, -6, 0, 1, -4, 12, -11, -16, -12, 3, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 299538, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '299538.z', 'trace_hash': 1232730214995311281}
• lmfdb_iso 299538.z 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
  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: 1886752
    {'Ciso': '299538z', 'Clabel': '299538z1', 'Cnumber': 1, 'abc_quality': 1.0060683766058514, 'absD': 18433094650884, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 516, 'ainvs': [1, -1, 1, -11441, -511451], 'analytic_rank': 1, 'bad_primes': [2, 3, 43], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 299538, 'degree': 943488, 'elladic_images': ['4.8.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2827935719041918690426305245', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [-35937, 4], 'lmfdb_iso': '299538.z', 'lmfdb_label': '299538.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6, 8], 'min_quad_twist_disc': -43, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.8.0.b.1', '12.64.1.b.2', '129.8.0.?', '516.128.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '22.092717467858932290923465908', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 149769], [3, 6, 86], [43, 926, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1471126302766441883914133506', 'prec': 103}, 'szpiro_ratio': 3.1581540726284976, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1886753
    {'Ciso': '299538z', 'Clabel': '299538z2', 'Cnumber': 2, 'abc_quality': 1.2854862760382055, 'absD': 23889290667545664, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 516, 'ainvs': [1, -1, 1, 71764, 719983], 'analytic_rank': 1, 'bad_primes': [2, 3, 43], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 299538, 'degree': 2830464, 'elladic_images': ['4.8.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8320997162382467147402531430', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 25, 'isogeny_degrees': [1, 3], 'jinv': [109503, 64], 'lmfdb_iso': '299538.z', 'lmfdb_label': '299538.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 39, -19], 'min_quad_twist_disc': -43, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.8.0.b.1', '12.64.1.b.1', '129.8.0.?', '516.128.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.3642391559529774303078219693', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 149769], [3, 4, 43], [43, 926, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96401058216529257315887247778', 'prec': 107}, 'szpiro_ratio': 3.581050206270742, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}