Elliptic curve isogeny class data - 128778.k

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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, -1, 1, 1, 1, -1, -1, -1, 1, -1, -5, 1, 0, 1, 1, 1, -3, -1, 1, 1], 'aplist': [-1, 1, 1, -1, -5, 0, -3, 1, 3, 2, -4, 4, -7, 2, -6, 5, 10, -8, 2, 12, 10, -4, 0, 8, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 128778, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '128778.k', 'trace_hash': 761851541347402891}
• ec_padic •

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

  
  
  • id: 6753247
    {'lmfdb_iso': '128778.k', 'p': 5, 'prec': 20, 'unit': 22535697851874, 'val': -1}
  • id: 6753248
    {'lmfdb_iso': '128778.k', 'p': 7, 'prec': 20, 'unit': 69873916346276074, 'val': 0}
  • id: 6753254
    {'lmfdb_iso': '128778.k', 'p': 11, 'prec': 20, 'unit': 13231737717177690063, 'val': 1}
  • id: 6753255
    {'lmfdb_iso': '128778.k', 'p': 17, 'prec': 20, 'unit': 144396285841308471103528, 'val': 1}
  • id: 6753256
    {'lmfdb_iso': '128778.k', 'p': 19, 'prec': 20, 'unit': 28692653406450806294703950, 'val': -1}
  • id: 6753260
    {'lmfdb_iso': '128778.k', 'p': 23, 'prec': 20, 'unit': 66570397624435137533818507, 'val': 1}
  • id: 6753252
    {'lmfdb_iso': '128778.k', 'p': 29, 'prec': 20, 'unit': 1050949097046046011179026939, 'val': 1}
  • id: 6753249
    {'lmfdb_iso': '128778.k', 'p': 31, 'prec': 20, 'unit': 9452571382174924293585570043, 'val': 1}
  • id: 6753265
    {'lmfdb_iso': '128778.k', 'p': 37, 'prec': 20, 'unit': 365156448362384189614526061766, 'val': 1}
  • id: 6753250
    {'lmfdb_iso': '128778.k', 'p': 41, 'prec': 20, 'unit': 684044600557112985840918924919, 'val': 1}
  • id: 6753251
    {'lmfdb_iso': '128778.k', 'p': 43, 'prec': 20, 'unit': 2290774079274156892141545503708, 'val': 1}
  • id: 6753263
    {'lmfdb_iso': '128778.k', 'p': 47, 'prec': 20, 'unit': 39321638908856077615596497485861, 'val': 1}
  • id: 6753257
    {'lmfdb_iso': '128778.k', 'p': 53, 'prec': 20, 'unit': 390165749235340162120243910610077, 'val': 1}
  • id: 6753258
    {'lmfdb_iso': '128778.k', 'p': 59, 'prec': 20, 'unit': 4119022849722572997530301018074388, 'val': 1}
  • id: 6753264
    {'lmfdb_iso': '128778.k', 'p': 61, 'prec': 20, 'unit': 8097123674471120146786563290417560, 'val': 1}
  • id: 6753246
    {'lmfdb_iso': '128778.k', 'p': 67, 'prec': 20, 'unit': 11550461469522007375843718062398661, 'val': 1}
  • id: 6753262
    {'lmfdb_iso': '128778.k', 'p': 71, 'prec': 20, 'unit': 146905936487538985458083235602968532, 'val': 1}
  • id: 6753259
    {'lmfdb_iso': '128778.k', 'p': 73, 'prec': 20, 'unit': 208034537668470790252188394525080655, 'val': 1}
  • id: 6753253
    {'lmfdb_iso': '128778.k', 'p': 79, 'prec': 20, 'unit': 437108864207008109886504890626113828, 'val': 1}
  • id: 6753261
    {'lmfdb_iso': '128778.k', 'p': 89, 'prec': 20, 'unit': 10520661589066898270528873064439391820, 'val': 1}
  • id: 6753245
    {'lmfdb_iso': '128778.k', 'p': 97, 'prec': 20, 'unit': 19289984188312992222853806127473493139, '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: 839744
    {'Ciso': '128778m', 'Clabel': '128778m2', 'Cnumber': 2, 'abc_quality': 1.0641590672157408, 'absD': 185190479836530578634744, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 92456, 'ainvs': [1, 0, 1, -3779026918, -89416900063840], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 127], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 128778, 'degree': 60850944, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9689484974721449987398769351', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 10, 'isogeny_degrees': [1, 7], 'jinv': [1236526859255318155975783969, 38367061931916216], 'lmfdb_iso': '128778.k', 'lmfdb_label': '128778.k1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -22361106, -40701264948], 'min_quad_twist_disc': 13, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '91.48.0.?', '1016.2.0.?', '7112.48.2.?', '92456.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.014422189854268540241101955', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21463], [3, 4, 21463], [7, 2, 1014], [13, 86, 762], [127, 128, 1014]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6864738187413766307131332143', 'prec': 100}, 'szpiro_ratio': 6.609962854060507, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 839743
    {'Ciso': '128778m', 'Clabel': '128778m1', 'Cnumber': 1, 'abc_quality': 1.0238226803035642, 'absD': 6148813346826023337984, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 92456, 'ainvs': [1, 0, 1, -17228878, 27264185600], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 127], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 128778, 'degree': 8692992, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9959934229444883461872005634', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 7], 'jinv': [117174888570509216929, 1273887851544576], 'lmfdb_iso': '128778.k', 'lmfdb_label': '128778.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -101946, 12401892], 'min_quad_twist_disc': 13, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '91.48.0.?', '1016.2.0.?', '7112.48.2.?', '92456.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4306317414077526486058717079', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 21463], [3, 4, 21463], [7, 2, 21463], [13, 86, 762], [127, 128, 1014]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7135187442137199781604568426', 'prec': 100}, 'szpiro_ratio': 5.235484063807662, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}