Elliptic curve isogeny class data - 12100.b

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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, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, -1, 0, -1, 0, 2, 0, -2, 0, 6, -4, 4, -9, -1, 3, 6, 0, 1, 13, -12, -16, 10, 12, -3, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 12100, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '12100.b', 'trace_hash': 2202389637850346241}
• ec_padic •

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

  
  
  • id: 528076
    {'lmfdb_iso': '12100.b', 'p': 7, 'prec': 20, 'unit': 7012209472072883, 'val': 1}
  • id: 528080
    {'lmfdb_iso': '12100.b', 'p': 13, 'prec': 20, 'unit': 957010792739160680884, 'val': 1}
  • id: 528082
    {'lmfdb_iso': '12100.b', 'p': 19, 'prec': 20, 'unit': 1762858180207088028058943, 'val': 1}
  • id: 528079
    {'lmfdb_iso': '12100.b', 'p': 29, 'prec': 20, 'unit': 5201228701894241917660338292, 'val': 1}
  • id: 528089
    {'lmfdb_iso': '12100.b', 'p': 31, 'prec': 20, 'unit': 4882329617884582722002110081, 'val': 1}
  • id: 528075
    {'lmfdb_iso': '12100.b', 'p': 37, 'prec': 20, 'unit': 566590915130435091757995180689, 'val': 1}
  • id: 528077
    {'lmfdb_iso': '12100.b', 'p': 41, 'prec': 20, 'unit': 2874042253749697607600490267911, 'val': 1}
  • id: 528078
    {'lmfdb_iso': '12100.b', 'p': 43, 'prec': 20, 'unit': 1906251094493188619648432660174, 'val': 1}
  • id: 528081
    {'lmfdb_iso': '12100.b', 'p': 47, 'prec': 20, 'unit': 21835421709026383310655580144430, 'val': 1}
  • id: 528083
    {'lmfdb_iso': '12100.b', 'p': 53, 'prec': 20, 'unit': 353552009490840841274559430115712, 'val': 1}
  • id: 528088
    {'lmfdb_iso': '12100.b', 'p': 61, 'prec': 20, 'unit': 46269306936037981912882934203528695, 'val': -1}
  • id: 528074
    {'lmfdb_iso': '12100.b', 'p': 67, 'prec': 20, 'unit': 29297983872263804037183564290639371, 'val': 1}
  • id: 528086
    {'lmfdb_iso': '12100.b', 'p': 71, 'prec': 20, 'unit': 49752112290199731876954060310056789, 'val': 1}
  • id: 528084
    {'lmfdb_iso': '12100.b', 'p': 73, 'prec': 20, 'unit': 213906079626602465153552587654103547, 'val': 1}
  • id: 528087
    {'lmfdb_iso': '12100.b', 'p': 79, 'prec': 20, 'unit': 662023922251013876027228561456614443, 'val': 1}
  • id: 528073
    {'lmfdb_iso': '12100.b', 'p': 83, 'prec': 20, 'unit': 2433445632592116862112667620488705414, 'val': 1}
  • id: 528085
    {'lmfdb_iso': '12100.b', 'p': 89, 'prec': 20, 'unit': 8565684737035036951660996572600972723, 'val': 1}
  • id: 528072
    {'lmfdb_iso': '12100.b', 'p': 97, 'prec': 20, 'unit': 13654358669865416007078711633845791249, '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: 78917
    {'Ciso': '12100d', 'Clabel': '12100d2', 'Cnumber': 2, 'abc_quality': 0.8833424252798248, 'absD': 60500000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 660, 'ainvs': [0, -1, 0, -10908, 442312], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 12100, 'degree': 10368, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0299695296266993310205843940', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [-296587984, 125], 'lmfdb_iso': '12100.b', 'lmfdb_label': '12100.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -436, 3364], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '20.2.0.a.1', '60.8.0.a.1', '132.8.0.?', '165.8.0.?', '660.16.0.?'], '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': '1.5875680467094431379312453426', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63649675909670948656827394991', 'prec': 107}, 'szpiro_ratio': 4.202355385263787, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 78916
    {'Ciso': '12100d', 'Clabel': '12100d1', 'Cnumber': 1, 'abc_quality': 0.7041813159161682, 'absD': 2420000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 660, 'ainvs': [0, -1, 0, 92, 2312], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 12100, 'degree': 3456, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.48066338529264448532296177553', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 3], 'jinv': [176, 5], 'lmfdb_iso': '12100.b', 'lmfdb_label': '12100.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 20], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '20.2.0.a.1', '60.8.0.a.1', '132.8.0.?', '165.8.0.?', '660.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.52918934890314771264374844754', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1858029034307643322658965684', 'prec': 103}, 'szpiro_ratio': 3.0891707186062427, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}