Elliptic curve isogeny class data - 187200.fn

Formats: - HTML - YAML - JSON - 2025-10-21T02:22:41.134453

• 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, 0, 0, -2, 0, 0, 0, 6, 0, -1, 0, 0, 0, 0, 0, -1, 0], 'aplist': [0, 0, 0, -2, 6, -1, 0, -1, -6, 3, -8, 1, -9, 8, 3, -3, -6, 10, -13, -9, -4, -11, 12, -6, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 187200, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '187200.fn', 'trace_hash': 952651651784308060}
• lmfdb_iso 187200.fn 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: 1203748
    {'Ciso': '187200gv', 'Clabel': '187200gv2', 'Cnumber': 2, 'abc_quality': 0.9735097716388428, 'absD': 83846430720000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 312, 'ainvs': [0, 0, 0, -629100, 192056400], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 187200, 'degree': 1492992, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8988602464458286406550534171', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 143, 'isogeny_degrees': [1, 3], 'jinv': [-8538302475, 26], 'lmfdb_iso': '187200.fn', 'lmfdb_label': '187200.fn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1092, 14166], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.3', '156.8.0.?', '312.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.53397457150013003126474329535', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 975], [3, 2, 20800], [5, 14, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50129904503987171688414847052', 'prec': 107}, 'szpiro_ratio': 4.256180448395498, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1203747
    {'Ciso': '187200gv', 'Clabel': '187200gv1', 'Cnumber': 1, 'abc_quality': 0.9536422949502349, 'absD': 77750599680000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 312, 'ainvs': [0, 0, 0, -5100, 446800], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 187200, 'degree': 497664, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3495541021117737949574307987', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 143, 'isogeny_degrees': [1, 3], 'jinv': [-3316275, 17576], 'lmfdb_iso': '187200.fn', 'lmfdb_label': '187200.fn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -717, 23741], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.4', '156.8.0.?', '312.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6019237145003900937942298861', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 975], [3, 6, 1600], [5, 14, 7488], [13, 14, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50129904503987171688414847046', 'prec': 107}, 'szpiro_ratio': 3.25725675267469, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}