Elliptic curve isogeny class data - 740.b

Formats: - HTML - YAML - JSON - 2024-09-17T11:56:34.828262

• 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, 0, 1, 0, -1, 0, -1, 0, -2, 0, -3, 0, -4, 0, -1, 0, 0, 0, -4, 0], 'aplist': [0, 1, -1, -1, -3, -4, 0, -4, 0, 0, 2, 1, 3, 2, 3, -9, 0, 2, -4, 15, -7, -10, -3, 6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 740, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '740.b', 'trace_hash': 1632164266528511016}
• ec_padic •

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

  
  
  • id: 14252
    {'lmfdb_iso': '740.b', 'p': 7, 'prec': 20, 'unit': 11322534718891419, 'val': 1}
  • id: 14254
    {'lmfdb_iso': '740.b', 'p': 11, 'prec': 20, 'unit': 33497930586354053802, 'val': 1}
  • id: 14255
    {'lmfdb_iso': '740.b', 'p': 13, 'prec': 20, 'unit': 542627821148287509472, 'val': 1}
  • id: 14258
    {'lmfdb_iso': '740.b', 'p': 19, 'prec': 20, 'unit': 1893209810508828776584873, 'val': 1}
  • id: 14265
    {'lmfdb_iso': '740.b', 'p': 31, 'prec': 20, 'unit': 6605873013911268599691422818, 'val': 1}
  • id: 14253
    {'lmfdb_iso': '740.b', 'p': 41, 'prec': 20, 'unit': 875333427193798053020521208765, 'val': 1}
  • id: 14257
    {'lmfdb_iso': '740.b', 'p': 43, 'prec': 20, 'unit': 2258633036694487593349553194427, 'val': 1}
  • id: 14256
    {'lmfdb_iso': '740.b', 'p': 47, 'prec': 20, 'unit': 7256563891930454807603297206403, 'val': 1}
  • id: 14259
    {'lmfdb_iso': '740.b', 'p': 53, 'prec': 20, 'unit': 549914071509614797864727039721167, 'val': 1}
  • id: 14264
    {'lmfdb_iso': '740.b', 'p': 61, 'prec': 20, 'unit': 3482074712063278605262473093108101, 'val': 1}
  • id: 14251
    {'lmfdb_iso': '740.b', 'p': 67, 'prec': 20, 'unit': 25363141803582390891520392848102825, 'val': 1}
  • id: 14262
    {'lmfdb_iso': '740.b', 'p': 71, 'prec': 20, 'unit': 64368130655303521087723187891138034, 'val': 1}
  • id: 14260
    {'lmfdb_iso': '740.b', 'p': 73, 'prec': 20, 'unit': 19208327188452648963428444152504704, 'val': 1}
  • id: 14263
    {'lmfdb_iso': '740.b', 'p': 79, 'prec': 20, 'unit': 395151184740753962379101882736037623, 'val': 1}
  • id: 14250
    {'lmfdb_iso': '740.b', 'p': 83, 'prec': 20, 'unit': 559385002871052631795037388134355894, 'val': 1}
  • id: 14261
    {'lmfdb_iso': '740.b', 'p': 89, 'prec': 20, 'unit': 8443397477895897190104291784193073039, 'val': 1}
  • id: 14249
    {'lmfdb_iso': '740.b', 'p': 97, 'prec': 20, 'unit': 31484183775183637138101782174136633614, '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: 3559
    {'Ciso': '740b', 'Clabel': '740b2', 'Cnumber': 2, 'abc_quality': 1.1088030644745788, 'absD': 148000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 222, 'ainvs': [0, 1, 0, -12021, -511321], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 740, 'degree': 432, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87558646121951407975106972972', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [750484394082304, 578125], 'lmfdb_iso': '740.b', 'lmfdb_label': '740.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -12021, -511321], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '74.2.0.?', '222.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5561430925713926338371962873', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 37], [3, 2, 148], [5, 6, 148], [37, 38, 20]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41348834084621720680624831541', 'prec': 103}, 'szpiro_ratio': 6.023766401371844, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 3558
    {'Ciso': '740b', 'Clabel': '740b1', 'Cnumber': 1, 'abc_quality': 0.9918941241263486, 'absD': 324179200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 222, 'ainvs': [0, 1, 0, -181, -425], 'analytic_rank': 1, 'bad_primes': [2, 5, 37], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 740, 'degree': 144, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.32628031688545923405344711125', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [2575826944, 1266325], 'lmfdb_iso': '740.b', 'lmfdb_label': '740.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -181, -425], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '74.2.0.?', '222.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.85204769752379754461239876243', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 37], [3, 2, 20], [5, 6, 148], [37, 38, 20]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13581780348783763889137430306', 'prec': 107}, 'szpiro_ratio': 4.119275750991104, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}