Elliptic curve isogeny class data - 10470.b

Formats: - HTML - YAML - JSON - 2026-07-20T02:00:58.482551

• 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, -4, 1, -3, -1, 1, 1, 7, -1, 5, 1], 'aplist': [-1, 1, 1, 1, -4, -3, 7, 5, -3, 2, -1, -10, 2, -8, -12, -8, -9, 0, -4, 5, -2, -10, 7, -9, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 10470, 'isogeny_matrix': [[1]], 'lmfdb_iso': '10470.b', 'trace_hash': 416884206625142594}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 445752
    {'lmfdb_iso': '10470.b', 'p': 7, 'prec': 20, 'unit': 14944326261097098, 'val': 0}
  • id: 445757
    {'lmfdb_iso': '10470.b', 'p': 11, 'prec': 20, 'unit': 12667258061403404313, 'val': 1}
  • id: 445755
    {'lmfdb_iso': '10470.b', 'p': 13, 'prec': 20, 'unit': 1218350951885414943303, 'val': 1}
  • id: 445758
    {'lmfdb_iso': '10470.b', 'p': 17, 'prec': 20, 'unit': 225598916024255405946148, 'val': 1}
  • id: 445759
    {'lmfdb_iso': '10470.b', 'p': 19, 'prec': 20, 'unit': 1450973913318766520206185, 'val': 1}
  • id: 445763
    {'lmfdb_iso': '10470.b', 'p': 23, 'prec': 20, 'unit': 71061615330888026139213711, 'val': 1}
  • id: 445767
    {'lmfdb_iso': '10470.b', 'p': 29, 'prec': 20, 'unit': 1163957190871514776964619383, 'val': 1}
  • id: 445768
    {'lmfdb_iso': '10470.b', 'p': 31, 'prec': 20, 'unit': 10270011093794739555146645138, 'val': 1}
  • id: 445751
    {'lmfdb_iso': '10470.b', 'p': 37, 'prec': 20, 'unit': 308526080821196730693940849741, 'val': 1}
  • id: 445753
    {'lmfdb_iso': '10470.b', 'p': 41, 'prec': 20, 'unit': 3424369994466154846847645303755, 'val': 1}
  • id: 445754
    {'lmfdb_iso': '10470.b', 'p': 43, 'prec': 20, 'unit': 3918983367553390302072007881658, 'val': 1}
  • id: 445766
    {'lmfdb_iso': '10470.b', 'p': 47, 'prec': 20, 'unit': 45274327026601302854436112185489, 'val': 1}
  • id: 445760
    {'lmfdb_iso': '10470.b', 'p': 53, 'prec': 20, 'unit': 4312513856792533305542578571239, 'val': 1}
  • id: 445761
    {'lmfdb_iso': '10470.b', 'p': 59, 'prec': 20, 'unit': 4279941860245292425445758949942700, 'val': 1}
  • id: 445750
    {'lmfdb_iso': '10470.b', 'p': 67, 'prec': 20, 'unit': 4159946493865076036428912458370530, 'val': 1}
  • id: 445765
    {'lmfdb_iso': '10470.b', 'p': 71, 'prec': 20, 'unit': 108395233362252958931624189742863874, 'val': 1}
  • id: 445762
    {'lmfdb_iso': '10470.b', 'p': 73, 'prec': 20, 'unit': 70682098881387100757570377124941199, 'val': 1}
  • id: 445756
    {'lmfdb_iso': '10470.b', 'p': 79, 'prec': 20, 'unit': 221680983060237007354495506896610871, 'val': 1}
  • id: 445749
    {'lmfdb_iso': '10470.b', 'p': 83, 'prec': 20, 'unit': 2185935752452884137900342035347176824, 'val': 1}
  • id: 445764
    {'lmfdb_iso': '10470.b', 'p': 89, 'prec': 20, 'unit': 6175032051928891313280038060340723049, 'val': 1}
  • id: 445748
    {'lmfdb_iso': '10470.b', 'p': 97, 'prec': 20, 'unit': 27742675367963649158790172393075172023, 'val': 1}
• 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[]

  
  {'Ciso': '10470b', 'Clabel': '10470b1', 'Cnumber': 1, 'abc_quality': 0.9504724729539088, 'absD': 5495493600000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10470, 'ainvs': [1, 0, 1, 1337, -111094], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 349], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 10470, 'degree': 23040, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1249078308824209519684612398', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [264596923272599, 5495493600000], 'lmfdb_iso': '10470.b', 'lmfdb_label': '10470.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1337, -111094], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['10470.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13057830376734567957921046037', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 5235], [3, 4, 3490], [5, 6, 2094], [349, 350, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1249078308824209519684612398', 'prec': 100}, 'szpiro_ratio': 3.971514797641817, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}