Elliptic curve isogeny class data - 19110.bb

Formats: - HTML - YAML - JSON - 2025-09-30T18:13:29.058333

• 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, 0, -1, 1, 1, 2, 1, -1, 0, -1, 1, -6, -1, -2, -1], 'aplist': [-1, 1, -1, 0, 2, -1, -6, -2, 4, -4, 0, -2, 6, 0, -8, 10, 8, -4, 2, 8, 14, -8, -14, 6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 19110, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19110.bb', 'trace_hash': 2049333675356251027}
• ec_padic •

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

  
  
  • id: 883535
    {'lmfdb_iso': '19110.bb', 'p': 11, 'prec': 20, 'unit': 46365221756681829076, 'val': 1}
  • id: 883538
    {'lmfdb_iso': '19110.bb', 'p': 17, 'prec': 20, 'unit': 9268470996774497361284, 'val': 2}
  • id: 883529
    {'lmfdb_iso': '19110.bb', 'p': 19, 'prec': 20, 'unit': 1964171699084324033011238, 'val': 1}
  • id: 883543
    {'lmfdb_iso': '19110.bb', 'p': 23, 'prec': 20, 'unit': 9673133095079004391065629, 'val': 1}
  • id: 883536
    {'lmfdb_iso': '19110.bb', 'p': 29, 'prec': 20, 'unit': 1206842920592047397127213467, 'val': 1}
  • id: 883532
    {'lmfdb_iso': '19110.bb', 'p': 37, 'prec': 20, 'unit': 530984924358398966668621268891, 'val': 1}
  • id: 883534
    {'lmfdb_iso': '19110.bb', 'p': 41, 'prec': 20, 'unit': 3426971319279277707329358789405, 'val': 1}
  • id: 883545
    {'lmfdb_iso': '19110.bb', 'p': 47, 'prec': 20, 'unit': 20494245743184102736355976829507, 'val': 1}
  • id: 883540
    {'lmfdb_iso': '19110.bb', 'p': 53, 'prec': 20, 'unit': 354729320431796285712911854606189, 'val': 1}
  • id: 883541
    {'lmfdb_iso': '19110.bb', 'p': 59, 'prec': 20, 'unit': 619705760790127903207614905792681, 'val': 1}
  • id: 883546
    {'lmfdb_iso': '19110.bb', 'p': 61, 'prec': 20, 'unit': 5365205951099038370598932193335312, 'val': 1}
  • id: 883531
    {'lmfdb_iso': '19110.bb', 'p': 67, 'prec': 20, 'unit': 7683406649221452633250546862948088, 'val': 1}
  • id: 883533
    {'lmfdb_iso': '19110.bb', 'p': 71, 'prec': 20, 'unit': 111755114628030910872814994368634276, 'val': 1}
  • id: 883542
    {'lmfdb_iso': '19110.bb', 'p': 73, 'prec': 20, 'unit': 202108157451595209818850811935312634, 'val': 1}
  • id: 883537
    {'lmfdb_iso': '19110.bb', 'p': 79, 'prec': 20, 'unit': 761478069775580600438917272743435682, 'val': 1}
  • id: 883539
    {'lmfdb_iso': '19110.bb', 'p': 83, 'prec': 20, 'unit': 489835265208304570055741422462970829, 'val': 1}
  • id: 883544
    {'lmfdb_iso': '19110.bb', 'p': 89, 'prec': 20, 'unit': 3112492209899249593932408489863714767, 'val': 1}
  • id: 883530
    {'lmfdb_iso': '19110.bb', 'p': 97, 'prec': 20, 'unit': 34048869084210144778041311503180725644, '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
  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: 126523
    {'Ciso': '19110v', 'Clabel': '19110v1', 'Cnumber': 1, 'abc_quality': 0.8936230102605177, 'absD': 10822540921920, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10920, 'ainvs': [1, 0, 1, -6984, 158806], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19110, 'degree': 46080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2074860046991920061272429821', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [320153881321, 91990080], 'lmfdb_iso': '19110.bb', 'lmfdb_label': '19110.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -142, -524], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '210.6.0.?', '10920.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.30865882639058498973270381961', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 735], [3, 4, 3185], [5, 6, 1274], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23453093017153535357456661038', 'prec': 103}, 'szpiro_ratio': 3.8717443816207853, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 126524
    {'Ciso': '19110v', 'Clabel': '19110v2', 'Cnumber': 2, 'abc_quality': 0.9288519937822, 'absD': 885054909047400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 10920, 'ainvs': [1, 0, 1, 18496, 1055702], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19110, 'degree': 92160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5540595949791646608358590429', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 27, 'isogeny_degrees': [1, 2], 'jinv': [5948434379159, 7522842600], 'lmfdb_iso': '19110.bb', 'lmfdb_label': '19110.bb2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 378, -2916], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '420.6.0.?', '10920.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61731765278116997946540763923', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 637], [3, 4, 3185], [5, 6, 1274], [7, 32, 390], [13, 14, 1470]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58110452045150800828318267118', 'prec': 103}, 'szpiro_ratio': 4.185412331212931, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}