Elliptic curve isogeny class data - 1083.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, -1, 1, -1, 0, -1, 1, 3, 1, 0, -2, -1, -5, -1, 0, -1, -4, -1, 0, 0], 'aplist': [-1, 1, 0, 1, -2, -5, -4, 0, -4, 8, 3, -3, 12, -1, -6, -4, -10, -13, -11, -6, -11, -1, 0, 6, -2], 'class_deg': 7, 'class_size': 2, 'conductor': 1083, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '1083.b', 'trace_hash': 142329701970852813}
• ec_padic •

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

  
  
  • id: 25107
    {'lmfdb_iso': '1083.b', 'p': 7, 'prec': 20, 'unit': 75013122710275234, 'val': 0}
  • id: 25105
    {'lmfdb_iso': '1083.b', 'p': 11, 'prec': 20, 'unit': 55554409415014497241, 'val': 1}
  • id: 25111
    {'lmfdb_iso': '1083.b', 'p': 13, 'prec': 20, 'unit': 879578353915165369331, 'val': 1}
  • id: 25113
    {'lmfdb_iso': '1083.b', 'p': 17, 'prec': 20, 'unit': 112010527381546330920535, 'val': 1}
  • id: 25118
    {'lmfdb_iso': '1083.b', 'p': 23, 'prec': 20, 'unit': 45731974018311231542650823, 'val': 1}
  • id: 25110
    {'lmfdb_iso': '1083.b', 'p': 29, 'prec': 20, 'unit': 5310554375963988356132975298, 'val': 1}
  • id: 25123
    {'lmfdb_iso': '1083.b', 'p': 31, 'prec': 20, 'unit': 16784507558434071145553905529, 'val': 1}
  • id: 25106
    {'lmfdb_iso': '1083.b', 'p': 37, 'prec': 20, 'unit': 5626726334102829087066091404, 'val': 2}
  • id: 25108
    {'lmfdb_iso': '1083.b', 'p': 41, 'prec': 20, 'unit': 1029159266283552372425582498828, 'val': 1}
  • id: 25109
    {'lmfdb_iso': '1083.b', 'p': 43, 'prec': 20, 'unit': 7739862963212282549186343138145, 'val': 1}
  • id: 25121
    {'lmfdb_iso': '1083.b', 'p': 47, 'prec': 20, 'unit': 21523113998046454986508896587411, 'val': 1}
  • id: 25115
    {'lmfdb_iso': '1083.b', 'p': 53, 'prec': 20, 'unit': 106601926930607679643115853756618, 'val': 1}
  • id: 25116
    {'lmfdb_iso': '1083.b', 'p': 59, 'prec': 20, 'unit': 2523889241969207779532350060429694, 'val': 1}
  • id: 25122
    {'lmfdb_iso': '1083.b', 'p': 61, 'prec': 20, 'unit': 209954268367904437738948285443366, 'val': 1}
  • id: 25114
    {'lmfdb_iso': '1083.b', 'p': 67, 'prec': 20, 'unit': 33129534699831467608718852820537437, 'val': 1}
  • id: 25120
    {'lmfdb_iso': '1083.b', 'p': 71, 'prec': 20, 'unit': 39289089374948826492654776473276158, 'val': 1}
  • id: 25117
    {'lmfdb_iso': '1083.b', 'p': 73, 'prec': 20, 'unit': 6221370250630042132890114242595049, 'val': 1}
  • id: 25112
    {'lmfdb_iso': '1083.b', 'p': 79, 'prec': 20, 'unit': 653927851685882352934880914558462902, 'val': 1}
  • id: 25119
    {'lmfdb_iso': '1083.b', 'p': 89, 'prec': 20, 'unit': 2839675447507260878778866597755372347, 'val': 1}
  • id: 25104
    {'lmfdb_iso': '1083.b', 'p': 97, 'prec': 20, 'unit': 10639169257454712834453922226274780744, '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: 5602
    {'Ciso': '1083d', 'Clabel': '1083d2', 'Cnumber': 2, 'abc_quality': 1.0888363088535995, 'absD': 789507, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 798, 'ainvs': [1, 0, 0, -663, 6516], 'analytic_rank': 1, 'bad_primes': [3, 19], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 1083, 'degree': 252, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24125409892499004933046920052', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [-89289015625, 2187], 'lmfdb_iso': '1083.b', 'lmfdb_label': '1083.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -663, 6516], 'min_quad_twist_disc': 1, 'modell_images': ['7B'], 'modm_images': ['6.2.0.a.1', '7.8.0.a.1', '42.16.0.a.1', '133.48.0.?', '798.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.10668492870823680095743628546', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 4, 361], [7, 2, 361], [19, 74, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24948573093608336067103537146', 'prec': 107}, 'szpiro_ratio': 4.451392917147779, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 5601
    {'Ciso': '1083d', 'Clabel': '1083d1', 'Cnumber': 1, 'abc_quality': 0.8291383974890598, 'absD': 1083, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 798, 'ainvs': [1, 0, 0, 2, -1], 'analytic_rank': 1, 'bad_primes': [3, 19], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 1083, 'degree': 36, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.73170097560266660322220717120', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 7], 'jinv': [2375, 3], 'lmfdb_iso': '1083.b', 'lmfdb_label': '1083.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 2, -1], 'min_quad_twist_disc': 1, 'modell_images': ['7B'], 'modm_images': ['6.2.0.a.1', '7.8.0.a.1', '42.16.0.a.1', '133.48.0.?', '798.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.74679450095765760670205399822', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 4, 361], [19, 74, 3]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2224408054637400132237117432', 'prec': 103}, 'szpiro_ratio': 1.9791743954666252, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}