Elliptic curve isogeny class data - 127764.bc

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• 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, 0, 0, 3, 0, -1, 0, 0, 0, 3, 0, 0, 0, 0, 0, 6, 0, -5, 0], 'aplist': [0, 0, 3, -1, 3, 0, 6, -5, 9, -6, 1, -11, 3, -4, -12, 0, 0, 8, 10, 3, -8, -4, 6, 3, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 127764, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '127764.bc', 'trace_hash': 92347672931767226}
• ec_padic •

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

  
  
  • id: 6697328
    {'lmfdb_iso': '127764.bc', 'p': 5, 'prec': 20, 'unit': 2529973630047, 'val': 2}
  • id: 6697335
    {'lmfdb_iso': '127764.bc', 'p': 11, 'prec': 20, 'unit': 3543776719178739688, 'val': 2}
  • id: 6697336
    {'lmfdb_iso': '127764.bc', 'p': 17, 'prec': 20, 'unit': 97500281829945488450424, 'val': 1}
  • id: 6697337
    {'lmfdb_iso': '127764.bc', 'p': 19, 'prec': 20, 'unit': 989632945455659852168132, 'val': 1}
  • id: 6697339
    {'lmfdb_iso': '127764.bc', 'p': 23, 'prec': 20, 'unit': 39409534420320295611416469, 'val': 1}
  • id: 6697333
    {'lmfdb_iso': '127764.bc', 'p': 29, 'prec': 20, 'unit': 4182112654197050799378200765, 'val': 1}
  • id: 6697330
    {'lmfdb_iso': '127764.bc', 'p': 31, 'prec': 20, 'unit': 152252096151367401060416299445, 'val': -1}
  • id: 6697343
    {'lmfdb_iso': '127764.bc', 'p': 37, 'prec': 20, 'unit': 530385973333221659381160888214, 'val': 1}
  • id: 6697331
    {'lmfdb_iso': '127764.bc', 'p': 41, 'prec': 20, 'unit': 41409716410474217091550105498, 'val': 1}
  • id: 6697332
    {'lmfdb_iso': '127764.bc', 'p': 43, 'prec': 20, 'unit': 5656117018426126735244737044628, 'val': 1}
  • id: 6697334
    {'lmfdb_iso': '127764.bc', 'p': 47, 'prec': 20, 'unit': 7289262936473372480411131120655, 'val': 1}
  • id: 6697342
    {'lmfdb_iso': '127764.bc', 'p': 61, 'prec': 20, 'unit': 5476675066155028397091604898054967, 'val': 1}
  • id: 6697327
    {'lmfdb_iso': '127764.bc', 'p': 67, 'prec': 20, 'unit': 6350996639930722108481132059233342, 'val': 1}
  • id: 6697329
    {'lmfdb_iso': '127764.bc', 'p': 71, 'prec': 20, 'unit': 78960497686382903461884660118102679, 'val': 1}
  • id: 6697338
    {'lmfdb_iso': '127764.bc', 'p': 73, 'prec': 20, 'unit': 154838232699708158811482663964244227, 'val': 1}
  • id: 6697341
    {'lmfdb_iso': '127764.bc', 'p': 79, 'prec': 20, 'unit': 838268201093071256191733728393432008, 'val': 1}
  • id: 6697326
    {'lmfdb_iso': '127764.bc', 'p': 83, 'prec': 20, 'unit': 408472417196898293237717371590874086, 'val': 1}
  • id: 6697340
    {'lmfdb_iso': '127764.bc', 'p': 89, 'prec': 20, 'unit': 6946434867143577799628638407446325886, 'val': 1}
  • id: 6697325
    {'lmfdb_iso': '127764.bc', 'p': 97, 'prec': 20, 'unit': 45404917202067155953895245323133584493, '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: 833568
    {'Ciso': '127764q', 'Clabel': '127764q2', 'Cnumber': 2, 'abc_quality': 0.8583867593056121, 'absD': 75080646076310784, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1092, 'ainvs': [0, 0, 0, -168831, -29778138], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 127764, 'degree': 1492992, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9692770754500742150737993503', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 28, 'isogeny_degrees': [1, 3], 'jinv': [-2431344, 343], 'lmfdb_iso': '127764.bc', 'lmfdb_label': '127764.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -999, -13554], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '39.8.0-3.a.1.2', '84.8.0.?', '1092.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.182217389643661690225234999', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 31941], [3, 4, 676], [7, 8, 18252], [13, 86, 756]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.78235698826642490967674058530', 'prec': 107}, 'szpiro_ratio': 4.077390706391471, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 833567
    {'Ciso': '127764q', 'Clabel': '127764q1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 170250898132224, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1092, 'ainvs': [0, 0, 0, 13689, 118638], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 127764, 'degree': 497664, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4199709311160193693761767318', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 3], 'jinv': [11664, 7], 'lmfdb_iso': '127764.bc', 'lmfdb_label': '127764.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 81, 54], 'min_quad_twist_disc': 13, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '39.8.0-3.a.1.1', '84.8.0.?', '1092.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7274057965478872300750783329', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 31941], [3, 2, 182], [7, 8, 18252], [13, 86, 756]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1485610844891281401418223310', 'prec': 103}, 'szpiro_ratio': 3.4178305324008234, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}