Elliptic curve isogeny class data - 8190.bg

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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, 0, 1, -1, 0, 1, 1, 0, -1, 2, 0, -1, 1, 0, 1, 4, 0, -4, -1], 'aplist': [1, 0, -1, 1, 2, -1, 4, -4, -8, -4, -8, -8, -6, 6, -2, -2, 0, 10, -16, -6, -2, 4, 2, 10, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 8190, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8190.bg', 'trace_hash': 1950405608056621891}
• ec_padic •

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

  
  
  • id: 337242
    {'lmfdb_iso': '8190.bg', 'p': 11, 'prec': 20, 'unit': 18614627170165862589, 'val': 1}
  • id: 337243
    {'lmfdb_iso': '8190.bg', 'p': 17, 'prec': 20, 'unit': 233133595573543335859640, 'val': 1}
  • id: 337244
    {'lmfdb_iso': '8190.bg', 'p': 19, 'prec': 20, 'unit': 1717879320632638266373629, 'val': 1}
  • id: 337247
    {'lmfdb_iso': '8190.bg', 'p': 23, 'prec': 20, 'unit': 67600697684887695820661754, 'val': 1}
  • id: 337240
    {'lmfdb_iso': '8190.bg', 'p': 29, 'prec': 20, 'unit': 1311500660291499847446949326, 'val': 1}
  • id: 337251
    {'lmfdb_iso': '8190.bg', 'p': 31, 'prec': 20, 'unit': 2386741049745551402240520934, 'val': 1}
  • id: 337236
    {'lmfdb_iso': '8190.bg', 'p': 37, 'prec': 20, 'unit': 549340080447312913355617417341, 'val': 1}
  • id: 337238
    {'lmfdb_iso': '8190.bg', 'p': 41, 'prec': 20, 'unit': 3452297584027738851476618821942, 'val': 1}
  • id: 337239
    {'lmfdb_iso': '8190.bg', 'p': 43, 'prec': 20, 'unit': 331306689353445154868191057583, 'val': 1}
  • id: 337241
    {'lmfdb_iso': '8190.bg', 'p': 47, 'prec': 20, 'unit': 3095506791588623977006819956448, 'val': 1}
  • id: 337245
    {'lmfdb_iso': '8190.bg', 'p': 53, 'prec': 20, 'unit': 152374495970666444595467086297472, 'val': 1}
  • id: 337250
    {'lmfdb_iso': '8190.bg', 'p': 61, 'prec': 20, 'unit': 7936147911453761676720281565351962, 'val': 1}
  • id: 337235
    {'lmfdb_iso': '8190.bg', 'p': 67, 'prec': 20, 'unit': 10190362216977297946917341983728269, 'val': 1}
  • id: 337237
    {'lmfdb_iso': '8190.bg', 'p': 71, 'prec': 20, 'unit': 91797028307302764317698269979920913, 'val': 1}
  • id: 337246
    {'lmfdb_iso': '8190.bg', 'p': 73, 'prec': 20, 'unit': 194737344634971565612453257031679798, 'val': 1}
  • id: 337249
    {'lmfdb_iso': '8190.bg', 'p': 79, 'prec': 20, 'unit': 3259963421487459392962933794166276, 'val': 1}
  • id: 337234
    {'lmfdb_iso': '8190.bg', 'p': 83, 'prec': 20, 'unit': 34352634838383808855745633204843841, 'val': 2}
  • id: 337248
    {'lmfdb_iso': '8190.bg', 'p': 89, 'prec': 20, 'unit': 7054026924934290365441572389715894852, 'val': 1}
  • id: 337233
    {'lmfdb_iso': '8190.bg', 'p': 97, 'prec': 20, 'unit': 48501008632067518148632298595250914070, '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: 52626
    {'Ciso': '8190bc', 'Clabel': '8190bc2', 'Cnumber': 2, 'abc_quality': 1.0151992393146214, 'absD': 68796000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -53303, -4723313], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8190, 'degree': 24576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2894746965916935274973431580', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [620307836233921107, 2548000000], 'lmfdb_iso': '8190.bg', 'lmfdb_label': '8190.bg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -479724, 128009168], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '156.6.0.?', '420.6.0.?', '1820.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2501602197946923166796702749', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 39], [3, 6, 182], [5, 6, 1638], [7, 8, 1170], [13, 14, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0148216244246661046485318488', 'prec': 100}, 'szpiro_ratio': 4.912490765894154, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 52625
    {'Ciso': '8190bc', 'Clabel': '8190bc1', 'Cnumber': 1, 'abc_quality': 0.9748403597757912, 'absD': 261660672000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [1, -1, 1, -3383, -70769], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8190, 'degree': 12288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.94290110631172087278872709731', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [158542456758867, 9691136000], 'lmfdb_iso': '8190.bg', 'lmfdb_label': '8190.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -30444, 1941200], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '156.6.0.?', '210.6.0.?', '1820.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.62508010989734615833983513744', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 105], [3, 6, 182], [5, 6, 1638], [7, 8, 1170], [13, 14, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66824803414469344993991578808', 'prec': 103}, 'szpiro_ratio': 3.9944736288677265, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}