Elliptic curve isogeny class data - 8640.bl

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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, 1, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 3, 0, 5, 0], 'aplist': [0, 0, 1, -2, 0, -2, 3, 5, 3, -6, -5, -2, -12, 8, -12, -3, -6, 7, 2, 12, -16, 1, 15, 12, -16], 'class_deg': 3, 'class_size': 2, 'conductor': 8640, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '8640.bl', 'trace_hash': 407394884024847}
• ec_padic •

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

  
  
  • id: 358023
    {'lmfdb_iso': '8640.bl', 'p': 7, 'prec': 20, 'unit': 1989610851208063, 'val': 1}
  • id: 358027
    {'lmfdb_iso': '8640.bl', 'p': 13, 'prec': 20, 'unit': 1310978119063092433337, 'val': 1}
  • id: 358029
    {'lmfdb_iso': '8640.bl', 'p': 17, 'prec': 20, 'unit': 201422693652282527162668, 'val': 1}
  • id: 358030
    {'lmfdb_iso': '8640.bl', 'p': 19, 'prec': 20, 'unit': 309368423918606108614419, 'val': 1}
  • id: 358034
    {'lmfdb_iso': '8640.bl', 'p': 23, 'prec': 20, 'unit': 71678596013909879726785649, 'val': 1}
  • id: 358026
    {'lmfdb_iso': '8640.bl', 'p': 29, 'prec': 20, 'unit': 1063513570351379380023220484, 'val': 1}
  • id: 358039
    {'lmfdb_iso': '8640.bl', 'p': 31, 'prec': 20, 'unit': 1323192247389601927889638673, 'val': 1}
  • id: 358022
    {'lmfdb_iso': '8640.bl', 'p': 37, 'prec': 20, 'unit': 19960874671960408752583185329, 'val': 1}
  • id: 358024
    {'lmfdb_iso': '8640.bl', 'p': 41, 'prec': 20, 'unit': 610026929300740568103875389795, 'val': 1}
  • id: 358025
    {'lmfdb_iso': '8640.bl', 'p': 43, 'prec': 20, 'unit': 9784182570491776839672010873, 'val': 1}
  • id: 358037
    {'lmfdb_iso': '8640.bl', 'p': 47, 'prec': 20, 'unit': 12437334826512252661878368957744, 'val': 1}
  • id: 358031
    {'lmfdb_iso': '8640.bl', 'p': 53, 'prec': 20, 'unit': 420855427424978446181225335839968, 'val': 1}
  • id: 358032
    {'lmfdb_iso': '8640.bl', 'p': 59, 'prec': 20, 'unit': 2510578305236621862826584244508027, 'val': 1}
  • id: 358038
    {'lmfdb_iso': '8640.bl', 'p': 61, 'prec': 20, 'unit': 1193795946024846621888150161569252, 'val': 1}
  • id: 358021
    {'lmfdb_iso': '8640.bl', 'p': 67, 'prec': 20, 'unit': 36339113456325503690849020294431524, 'val': 1}
  • id: 358036
    {'lmfdb_iso': '8640.bl', 'p': 71, 'prec': 20, 'unit': 126817598593842392834958746572689381, 'val': 1}
  • id: 358033
    {'lmfdb_iso': '8640.bl', 'p': 73, 'prec': 20, 'unit': 183333595191763774043341303754854075, 'val': 1}
  • id: 358028
    {'lmfdb_iso': '8640.bl', 'p': 79, 'prec': 20, 'unit': 44023419907473570383815828835889913334, 'val': 0}
  • id: 358020
    {'lmfdb_iso': '8640.bl', 'p': 83, 'prec': 20, 'unit': 2090204450966977291065437721874432795, 'val': 1}
  • id: 358035
    {'lmfdb_iso': '8640.bl', 'p': 89, 'prec': 20, 'unit': 1370999176250270732352795634297451047, 'val': 1}
  • id: 358019
    {'lmfdb_iso': '8640.bl', 'p': 97, 'prec': 20, 'unit': 13061293719382584031377759093015019346, '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: 55664
    {'Ciso': '8640bl', 'Clabel': '8640bl1', 'Cnumber': 1, 'abc_quality': 0.9543962106911784, 'absD': 138240, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [0, 0, 0, -132, -584], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8640, 'degree': 1152, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.064909707386760991609165824537', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 37, 'isogeny_degrees': [1, 3], 'jinv': [-9199872, 5], 'lmfdb_iso': '8640.bl', 'lmfdb_label': '8640.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -33, 73], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '30.8.0.b.1', '120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.2239730489225987443890499355', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 2, 320], [5, 6, 1728]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91718543002040950563900390165', 'prec': 107}, 'szpiro_ratio': 2.897450364799213, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 55665
    {'Ciso': '8640bl', 'Clabel': '8640bl2', 'Cnumber': 2, 'abc_quality': 1.027195810121916, 'absD': 2519424000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [0, 0, 0, 108, -2376], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 8640, 'degree': 3456, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48439643694729385408845679392', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 37, 'isogeny_degrees': [1, 3], 'jinv': [6912, 125], 'lmfdb_iso': '8640.bl', 'lmfdb_label': '8640.bl2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, 297], 'min_quad_twist_disc': -8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '30.8.0.b.1', '120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0746576829741995814630166452', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 2, 32], [5, 6, 1728]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.91718543002040950563900390165', 'prec': 107}, 'szpiro_ratio': 3.207081489731085, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}