Elliptic curve isogeny class data - 2175.a

Formats: - HTML - YAML - JSON - 2024-09-19T03:15:01.962575

• 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, 1, 2, 0, -2, -2, 0, 1, 0, -3, 2, 4, 4, 0, -4, 8, -2, 0, 0], 'aplist': [-2, 1, 0, -2, -3, 4, 8, 0, -1, 1, -8, -7, 7, 9, -12, 9, 10, 2, 8, -8, -1, -10, 9, 10, 13], 'class_deg': 5, 'class_size': 2, 'conductor': 2175, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '2175.a', 'trace_hash': 129074492683315893}
• lmfdb_iso 2175.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
  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: 12430
    {'Ciso': '2175j', 'Clabel': '2175j1', 'Cnumber': 1, 'abc_quality': 1.198475926679224, 'absD': 10875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 870, 'ainvs': [0, 1, 1, -698, -7336], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 2175, 'degree': 912, 'elladic_images': ['5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.14130001205188751547819016460', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [-301302001664, 87], 'lmfdb_iso': '2175.a', 'lmfdb_label': '2175.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -698, -7336], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.2'], 'modm_images': ['5.24.0-5.a.2.2', '870.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 725], [29, 30, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.26105946605663757817199966871', 'prec': 107}, 'szpiro_ratio': 4.067738714904287, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 12431
    {'Ciso': '2175j', 'Clabel': '2175j2', 'Cnumber': 2, 'abc_quality': 1.015700664847297, 'absD': 623026150875, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 870, 'ainvs': [0, 1, 1, 1152, -34486], 'analytic_rank': 0, 'bad_primes': [3, 5, 29], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 2175, 'degree': 4560, 'elladic_images': ['5.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94601896826893770277856983121', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5], 'jinv': [1351431663616, 4984209207], 'lmfdb_iso': '2175.a', 'lmfdb_label': '2175.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 1152, -34486], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.1'], 'modm_images': ['5.24.0-5.a.1.2', '870.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[3, 4, 725], [5, 10, 1], [29, 30, 75]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54365949016041260912837999790', 'prec': 103}, 'szpiro_ratio': 4.481829480493448, 'torsion': 5, 'torsion_primes': [5], 'torsion_structure': [5]}