Elliptic curve isogeny class data - 200376.q

Formats: - HTML - YAML - JSON - 2025-10-02T20:49:07.422572

• 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, 0, 0, -5, 0, 0, 0, -7, 0, -6, 0], 'aplist': [0, 0, -1, 1, 0, -5, -7, -6, -1, 1, 7, 7, -12, -6, 7, -2, -8, -10, 9, -9, 8, 1, -14, 12, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 200376, 'isogeny_matrix': [[1]], 'lmfdb_iso': '200376.q', 'trace_hash': 1636901523082678288}
• lmfdb_iso 200376.q 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[]

  
  {'Ciso': '200376be', 'Clabel': '200376be1', 'Cnumber': 1, 'abc_quality': 0.952084327389591, 'absD': 531238474388511369216, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2024, 'ainvs': [0, 0, 0, -2047683, 205604894], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 200376, 'degree': 7372800, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6670451031912478484922174973', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1], 'jinv': [359003179442, 200851893], 'lmfdb_iso': '200376.q', 'lmfdb_label': '200376.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1880, 6348], 'min_quad_twist_disc': 33, 'modell_images': [], 'modm_images': ['2024.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6626683703914269069912606597', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 25047], [3, 8, 22264], [11, 72, 1656], [23, 24, 8712]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28340640694472453046449364519', 'prec': 103}, 'szpiro_ratio': 4.522483910443716, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}