Elliptic curve isogeny class data - 128700.w

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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, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -6, 0, -1, 0], 'aplist': [0, 0, 0, -1, 1, 1, -6, -1, -9, 0, -4, -4, -6, -10, 6, 3, -6, -10, 2, 6, -7, -10, -9, 6, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 128700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '128700.w', 'trace_hash': 2069525459440337084}
• ec_padic •

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

  
  
  • id: 6750378
    {'lmfdb_iso': '128700.w', 'p': 7, 'prec': 20, 'unit': 335364947713066, 'val': 2}
  • id: 6750382
    {'lmfdb_iso': '128700.w', 'p': 17, 'prec': 20, 'unit': 9856579838833445851465, 'val': 2}
  • id: 6750374
    {'lmfdb_iso': '128700.w', 'p': 19, 'prec': 20, 'unit': 163152374282927895212854, 'val': 2}
  • id: 6750387
    {'lmfdb_iso': '128700.w', 'p': 23, 'prec': 20, 'unit': 7840135251247510630003, 'val': 2}
  • id: 6750392
    {'lmfdb_iso': '128700.w', 'p': 31, 'prec': 20, 'unit': 6046431593544812301481592753, 'val': 2}
  • id: 6750377
    {'lmfdb_iso': '128700.w', 'p': 37, 'prec': 20, 'unit': 317048534340880398225611870886, 'val': 2}
  • id: 6750379
    {'lmfdb_iso': '128700.w', 'p': 41, 'prec': 20, 'unit': 801914599178699857937501613317, 'val': 2}
  • id: 6750380
    {'lmfdb_iso': '128700.w', 'p': 43, 'prec': 20, 'unit': 347120775181697650687329944796, 'val': 2}
  • id: 6750390
    {'lmfdb_iso': '128700.w', 'p': 47, 'prec': 20, 'unit': 28250998197405570712182712042354, 'val': 2}
  • id: 6750384
    {'lmfdb_iso': '128700.w', 'p': 53, 'prec': 20, 'unit': 416810598936847305600121174342726, 'val': 2}
  • id: 6750385
    {'lmfdb_iso': '128700.w', 'p': 59, 'prec': 20, 'unit': 2842628204993894186336047773543819, 'val': 2}
  • id: 6750391
    {'lmfdb_iso': '128700.w', 'p': 61, 'prec': 20, 'unit': 3533965477639265022244736004848534, 'val': 2}
  • id: 6750376
    {'lmfdb_iso': '128700.w', 'p': 67, 'prec': 20, 'unit': 10715036632717872693039992761082221, 'val': 2}
  • id: 6750389
    {'lmfdb_iso': '128700.w', 'p': 71, 'prec': 20, 'unit': 83894184278915071978132846360232392, 'val': 2}
  • id: 6750386
    {'lmfdb_iso': '128700.w', 'p': 73, 'prec': 20, 'unit': 94365767763216444457620782259851548, 'val': 2}
  • id: 6750381
    {'lmfdb_iso': '128700.w', 'p': 79, 'prec': 20, 'unit': 641690351656753844999051665690347251, 'val': 2}
  • id: 6750383
    {'lmfdb_iso': '128700.w', 'p': 83, 'prec': 20, 'unit': 1541660106744328523594290174829364463, 'val': 2}
  • id: 6750388
    {'lmfdb_iso': '128700.w', 'p': 89, 'prec': 20, 'unit': 2517793301122076313535198069013154786, 'val': 2}
  • id: 6750375
    {'lmfdb_iso': '128700.w', 'p': 97, 'prec': 20, 'unit': 47426758113451171892769413965226967511, 'val': 2}
• 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: 839417
    {'Ciso': '128700cf', 'Clabel': '128700cf2', 'Cnumber': 2, 'abc_quality': 0.8890052430529486, 'absD': 191857221270000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 858, 'ainvs': [0, 0, 0, -38325, 2963725], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 128700, 'degree': 373248, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5177617796477551553684480747', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [-853970118400, 26317863], 'lmfdb_iso': '128700.w', 'lmfdb_label': '128700.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4258, -111187], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '286.2.0.?', '858.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 38, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.60011136152635113278639520504', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 32175], [3, 8, 100], [5, 14, 5148], [11, 12, 11700], [13, 14, 9900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.20092727098235174833149497134', 'prec': 103}, 'szpiro_ratio': 3.682633140756036, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
  • id: 839416
    {'Ciso': '128700cf', 'Clabel': '128700cf1', 'Cnumber': 1, 'abc_quality': 0.8182147889716767, 'absD': 759960630000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 858, 'ainvs': [0, 0, 0, 2175, 15325], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 128700, 'degree': 124416, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96845563531370030967082545622', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3], 'jinv': [156089600, 104247], 'lmfdb_iso': '128700.w', 'lmfdb_label': '128700.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 242, -487], 'min_quad_twist_disc': -3, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '286.2.0.?', '858.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '5.4010022537371601950775568454', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 32175], [3, 2, 14300], [5, 14, 5148], [11, 12, 11700], [13, 14, 9900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34837887335170309736612764714', 'prec': 107}, 'szpiro_ratio': 2.9466425376943066, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}