Elliptic curve isogeny class data - 10470.d

Formats: - HTML - YAML - JSON - 2026-05-15T11:47:28.511620

• 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, 1, 1, 1, 1, 1, 1, -2, 1, 0, 1, 1, 1, -3, 1, 6, 1], 'aplist': [1, 1, 1, 1, -2, 0, -3, 6, -4, 9, 4, 3, 0, -12, 6, 5, 4, 13, 5, -5, 4, -4, 0, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 10470, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '10470.d', 'trace_hash': 56908957332877019}
• lmfdb_iso 10470.d 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
  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[]

  
  
  • id: 67785
    {'Ciso': '10470d', 'Clabel': '10470d1', 'Cnumber': 1, 'abc_quality': 0.9571972004655569, 'absD': 7632630000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 293160, 'ainvs': [1, 0, 0, -45435, 3726225], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 349], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 10470, 'degree': 38808, 'elladic_images': ['7.48.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4060197834495355440860159154', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [-10372797669976737841, 7632630000000], 'lmfdb_iso': '10470.d', 'lmfdb_label': '10470.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -45435, 3726225], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.1'], 'modm_images': ['7.48.0-7.a.1.2', '41880.2.0.?', '293160.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5235], [3, 4, 3490], [5, 6, 2094], [7, 2, 349], [349, 350, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4060197834495355440860159154', 'prec': 100}, 'szpiro_ratio': 4.730522386092385, 'torsion': 7, 'torsion_primes': [7], 'torsion_structure': [7]}
  • id: 67786
    {'Ciso': '10470d', 'Clabel': '10470d2', 'Cnumber': 2, 'abc_quality': 1.1093106404648128, 'absD': 18919046447754148470, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 293160, 'ainvs': [1, 0, 0, 182415, -207095505], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 349], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 10470, 'degree': 271656, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3789748579771921966386922872', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [671282315177095816559, 18919046447754148470], 'lmfdb_iso': '10470.d', 'lmfdb_label': '10470.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 182415, -207095505], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '41880.2.0.?', '293160.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 5235], [3, 4, 3490], [5, 6, 2094], [7, 2, 30], [349, 350, 30]], 'sha': 49, 'sha_primes': [7], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3789748579771921966386922872', 'prec': 100}, 'szpiro_ratio': 5.598440568070082, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}