Elliptic curve isogeny class data - 68970.g

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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, 2, -1, 1, 1, 0, -1, -2, -2, 1, 1, -2, -1, -1, -1], 'aplist': [-1, -1, -1, 2, 0, -2, -2, -1, 8, 6, 6, -8, -2, -2, -8, 12, -6, 8, 0, -6, 14, 0, 2, 6, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 68970, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '68970.g', 'trace_hash': 2087806213293263120}
• ec_padic •

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

  
  
  • id: 3529465
    {'lmfdb_iso': '68970.g', 'p': 7, 'prec': 20, 'unit': 171462971147497, 'val': 2}
  • id: 3529469
    {'lmfdb_iso': '68970.g', 'p': 13, 'prec': 20, 'unit': 1423841041284177670509, 'val': 1}
  • id: 3529471
    {'lmfdb_iso': '68970.g', 'p': 17, 'prec': 20, 'unit': 61482986201780934383357, 'val': 1}
  • id: 3529475
    {'lmfdb_iso': '68970.g', 'p': 23, 'prec': 20, 'unit': 37694786593773658464973110, 'val': 1}
  • id: 3529468
    {'lmfdb_iso': '68970.g', 'p': 29, 'prec': 20, 'unit': 4624838875697498280826715582, 'val': 1}
  • id: 3529480
    {'lmfdb_iso': '68970.g', 'p': 31, 'prec': 20, 'unit': 13527767387391895846266327753, 'val': 1}
  • id: 3529464
    {'lmfdb_iso': '68970.g', 'p': 37, 'prec': 20, 'unit': 533404966001886702863105017812, 'val': 1}
  • id: 3529466
    {'lmfdb_iso': '68970.g', 'p': 41, 'prec': 20, 'unit': 2954274460040013089665587034213, 'val': 1}
  • id: 3529467
    {'lmfdb_iso': '68970.g', 'p': 43, 'prec': 20, 'unit': 15458358965471923089184023317, 'val': 1}
  • id: 3529470
    {'lmfdb_iso': '68970.g', 'p': 47, 'prec': 20, 'unit': 53768205017143956589320381064441, 'val': 1}
  • id: 3529473
    {'lmfdb_iso': '68970.g', 'p': 53, 'prec': 20, 'unit': 282201000031566247268129453772349, 'val': 1}
  • id: 3529478
    {'lmfdb_iso': '68970.g', 'p': 59, 'prec': 20, 'unit': 623025389830462552550785279918880, 'val': 1}
  • id: 3529479
    {'lmfdb_iso': '68970.g', 'p': 61, 'prec': 20, 'unit': 4079662541582706987308133083576738, 'val': 1}
  • id: 3529477
    {'lmfdb_iso': '68970.g', 'p': 71, 'prec': 20, 'unit': 126001926252571760437280167807298303, 'val': 1}
  • id: 3529474
    {'lmfdb_iso': '68970.g', 'p': 73, 'prec': 20, 'unit': 209566580446649508798059300801755435, 'val': 1}
  • id: 3529472
    {'lmfdb_iso': '68970.g', 'p': 83, 'prec': 20, 'unit': 2334169808901623369437780195359954739, 'val': 1}
  • id: 3529476
    {'lmfdb_iso': '68970.g', 'p': 89, 'prec': 20, 'unit': 9058788088729856959904791770455428246, 'val': 1}
  • id: 3529463
    {'lmfdb_iso': '68970.g', 'p': 97, 'prec': 20, 'unit': 53912822789984630692050844367554010849, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 455980
    {'Ciso': '68970a', 'Clabel': '68970a2', 'Cnumber': 2, 'abc_quality': 0.9882853823732188, 'absD': 28594424949939256320, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4180, 'ainvs': [1, 1, 0, -36387848, -84500367552], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 68970, 'degree': 5406720, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9279455549482379280745521837', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [2259741076336189979, 12126827520], 'lmfdb_iso': '68970.g', 'lmfdb_label': '68970.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -300726, 63349683], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '220.6.0.?', '380.6.0.?', '836.6.0.?', '4180.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.373357522136114285748335749', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1295241003494600200280945002', 'prec': 100}, 'szpiro_ratio': 5.73022108424797, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 455979
    {'Ciso': '68970a', 'Clabel': '68970a1', 'Cnumber': 1, 'abc_quality': 0.9493268481066693, 'absD': 95128951100512665600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4180, 'ainvs': [1, 1, 0, -2314248, -1272192192], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 68970, 'degree': 2703360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5813719646682652733659361229', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [581325709271579, 40343961600], 'lmfdb_iso': '68970.g', 'lmfdb_label': '68970.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -19126, 947123], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '220.6.0.?', '380.6.0.?', '418.6.0.?', '4180.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6866787610680571428741678744', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78295051006948736531947843943', 'prec': 103}, 'szpiro_ratio': 4.988354744758206, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}