Elliptic curve isogeny class data - 303450.x

Formats: - HTML - YAML - JSON - 2025-10-09T05:44:02.432521

• 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, -1, 1, 0, 1, -1, -1, 1, 0, 6, -1, -4, 1, 0, 1, 0, -1, -1, 0], 'aplist': [-1, -1, 0, -1, 6, -4, 0, -1, 0, -9, 4, -2, -6, -4, 6, 0, 0, -5, 8, 12, -11, 1, 0, 3, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 303450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '303450.x', 'trace_hash': 2286257839160467399}
• lmfdb_iso 303450.x 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: 1909710
    {'Ciso': '303450x', 'Clabel': '303450x2', 'Cnumber': 2, 'abc_quality': 0.9722588766899147, 'absD': 1241898416035763325000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1428, 'ainvs': [1, 1, 0, -8294450, -54402943500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 303450, 'degree': 55987200, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3041878470985761720721218504', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [-6693187811305, 131714173248], 'lmfdb_iso': '303450.x', 'lmfdb_label': '303450.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1148, -89059], 'min_quad_twist_disc': 85, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '51.8.0-3.a.1.1', '84.8.0.?', '1428.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 151725], [3, 4, 7225], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81462256678106788221351498598', 'prec': 103}, 'szpiro_ratio': 4.987920912897414, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1909709
    {'Ciso': '303450x', 'Clabel': '303450x1', 'Cnumber': 1, 'abc_quality': 0.9286396064323877, 'absD': 1716003631622995312500, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1428, 'ainvs': [1, 1, 0, 917425, 1964519625], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 303450, 'degree': 18662400, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7548817027645213263744992319', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 3], 'jinv': [9056932295, 181997172], 'lmfdb_iso': '303450.x', 'lmfdb_label': '303450.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 127, 3251], 'min_quad_twist_disc': 85, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '51.8.0-3.a.1.2', '84.8.0.?', '1428.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 151725], [3, 4, 14450], [5, 14, 12138], [7, 8, 43350], [17, 162, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26531642244701303651589236748', 'prec': 103}, 'szpiro_ratio': 4.461689602371753, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}