Elliptic curve isogeny class data - 3872.m

Formats: - HTML - YAML - JSON - 2025-01-19T00:24:28.468480

• 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, 3, 0, 1, 0, 0, 0, 6, 0, 0, 0, 6, 0, 3, 0, 4, 0, -6, 0], 'aplist': [0, 3, 1, 0, 0, 6, 4, -6, 3, 4, -9, 7, 2, -6, 12, 2, 9, -8, -15, -3, 6, 6, 6, -5, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 3872, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3872.m', 'trace_hash': 62447888499752135}
• lmfdb_iso 3872.m 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': '3872f', 'Clabel': '3872f1', 'Cnumber': 1, 'abc_quality': 1.172456969504371, 'absD': 9658153742336, 'adelic_genus': 1, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, 968, 149072], 'analytic_rank': 0, 'bad_primes': [2, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3872, 'degree': 11520, 'elladic_images': ['3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1710100308250144031117141621', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [13824, 1331], 'lmfdb_iso': '3872.m', 'lmfdb_label': '3872.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 8, 112], 'min_quad_twist_disc': 44, 'modell_images': ['3Nn'], 'modm_images': ['3.3.0.a.1', '12.6.0.d.1', '22.2.0.a.1', '66.6.1.a.1', '132.12.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 121], [11, 72, 32]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72108478613411617833648974834', 'prec': 107}, 'szpiro_ratio': 4.520655492695002, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}