Elliptic curve isogeny class data - 198744.x

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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, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, -1, 0, 0, 2, 0, 6, -8, -4, -6, 4, 2, 0, 4, -6, 6, 10, -10, 4, 6, 6, 0, 6, -12, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 198744, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '198744.x', 'trace_hash': 1623133526161286080}
• lmfdb_iso 198744.x does not appear in ec_padic
• 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: 1275057
    {'Ciso': '198744bs', 'Clabel': '198744bs2', 'Cnumber': 2, 'abc_quality': 1.0065907712954423, 'absD': 267939275550367251946752, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -1377861788, -19685484939420], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 198744, 'degree': 61931520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7923360216319673946167515771', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [1989996724085074000, 1843096437], 'lmfdb_iso': '198744.x', 'lmfdb_label': '198744.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -166388, 26068080], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.759718652472223955595513828', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 8281], [3, 4, 66248], [5, 2, 66248], [7, 32, 4056], [13, 98, 1176]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0748081480002455010925100703', 'prec': 100}, 'szpiro_ratio': 6.1267533510322, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1275056
    {'Ciso': '198744bs', 'Clabel': '198744bs1', 'Cnumber': 1, 'abc_quality': 1.008709006560751, 'absD': 2151025876479838743573552, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -85487523, -312277757364], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 198744, 'degree': 30965760, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4457624313519947399081355164', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [-7604375980288000, 236743082667], 'lmfdb_iso': '198744.x', 'lmfdb_label': '198744.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -10323, 410994], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '52.6.0.c.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '29.519437304944447911191027655', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 24843], [3, 4, 66248], [5, 2, 66248], [7, 32, 4056], [13, 98, 1176]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.95928361790692128285630471674', 'prec': 103}, 'szpiro_ratio': 5.447449443443796, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}