Elliptic curve isogeny class data - 207936.gc

Formats: - HTML - YAML - JSON - 2025-10-11T08:10:29.472622

• 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, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, 0, 2, 0, -2, -4, 0, 0, 8, 2, -2, -8, -2, 4, -4, -2, 0, 10, 0, 16, 6, 14, 6, -18, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 207936, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '207936.gc', 'trace_hash': 1802280927713531569}
• lmfdb_iso 207936.gc 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: 1332169
    {'Ciso': '207936ed', 'Clabel': '207936ed2', 'Cnumber': 2, 'abc_quality': 0.936928836294883, 'absD': 240415514090274816, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 456, 'ainvs': [0, 0, 0, -766764, -257349680], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207936, 'degree': 2211840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1837550981327879124308482821', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 158, 'isogeny_degrees': [1, 2], 'jinv': [149721291, 722], 'lmfdb_iso': '207936.gc', 'lmfdb_label': '207936.gc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -33, -65], 'min_quad_twist_disc': 152, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '152.6.0.?', '228.6.0.?', '456.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3169616882609575001487450488', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1083], [3, 6, 23104], [19, 200, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60283823445737770454832492526', 'prec': 107}, 'szpiro_ratio': 4.268147605954734, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1332168
    {'Ciso': '207936ed', 'Clabel': '207936ed1', 'Cnumber': 1, 'abc_quality': 1.0098530640536911, 'absD': 25306896220028928, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 456, 'ainvs': [0, 0, 0, -73644, 768208], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207936, 'degree': 1105920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8371815078528152577222322214', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 158, 'isogeny_degrees': [1, 2], 'jinv': [132651, 76], 'lmfdb_iso': '207936.gc', 'lmfdb_label': '207936.gc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3, 1], 'min_quad_twist_disc': 152, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '114.6.0.?', '152.6.0.?', '456.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1584808441304787500743725244', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1083], [3, 6, 23104], [19, 200, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.94941182473735035925694098596', 'prec': 107}, 'szpiro_ratio': 3.694132300078831, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}