Elliptic curve isogeny class data - 7920.bc

Formats: - HTML - YAML - JSON - 2024-05-01T00:50:16.160340

• 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, 1, 0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, 1, 1, -1, 2, 3, 1, 6, 9, -5, 5, 6, -8, 6, -9, 6, 5, -8, -9, -10, -14, -6, 15, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 7920, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '7920.bc', 'trace_hash': 2064684238092101136}
• lmfdb_iso 7920.bc 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 50810
    {'Ciso': '7920bf', 'Clabel': '7920bf1', 'Cnumber': 1, 'abc_quality': 0.93814512349847, 'absD': 1313832960, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -147, 1874], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 7920, 'degree': 2880, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43534785429801572026757501772', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 3], 'jinv': [-117649, 440], 'lmfdb_iso': '7920.bc', 'lmfdb_label': '7920.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, 1], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '440.2.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.80710547059598443484727972220', 'prec': 107}, 'szpiro_ratio': 3.185289057229294, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 50811
    {'Ciso': '7920bf', 'Clabel': '7920bf2', 'Cnumber': 2, 'abc_quality': 0.922044169862911, 'absD': 993586176000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 1293, -44494], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 7920, 'degree': 8640, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98465399863207056596519763618', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 28, 'isogeny_degrees': [1, 3], 'jinv': [80062991, 332750], 'lmfdb_iso': '7920.bc', 'lmfdb_label': '7920.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9, -25], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.1', '440.2.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25779932626192958914965710374', 'prec': 107}, 'szpiro_ratio': 3.8909206674886394, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}