Elliptic curve isogeny class data - 198450.g

Formats: - HTML - YAML - JSON - 2025-10-27T23:09:09.209304

• 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, -1, 0, 1, 0, 0, 0, -1, 0, 0, -6, 0, 4, 0, 0, 1, 6, 0, -4, 0], 'aplist': [-1, 0, 0, 0, -6, 4, 6, -4, 9, 6, -7, -2, -9, -8, 9, 6, 6, 8, -2, -15, 7, -1, 0, -15, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 198450, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '198450.g', 'trace_hash': 1044850390057166942}
• lmfdb_iso 198450.g 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: 1273292
    {'Ciso': '198450ib', 'Clabel': '198450ib2', 'Cnumber': 2, 'abc_quality': 0.9694580675242215, 'absD': 276907517578125000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [1, -1, 0, -498192, -132831784], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 198450, 'degree': 4478976, 'elladic_images': ['8.2.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1379088314068930412565378358', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [6172906761, 125000], 'lmfdb_iso': '198450.g', 'lmfdb_label': '198450.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2214, 39948], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.b.1', '15.8.0-3.a.1.1', '24.8.0.b.1', '120.16.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '14.789818523766549799646415618', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99225], [3, 4, 35], [5, 18, 7938], [7, 20, 4050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23095708171868632390833044273', 'prec': 107}, 'szpiro_ratio': 4.178439466674347, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 1273291
    {'Ciso': '198450ib', 'Clabel': '198450ib1', 'Cnumber': 1, 'abc_quality': 0.9646920339421542, 'absD': 350065800000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [1, -1, 0, -57192, 5201216], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 198450, 'degree': 1492992, 'elladic_images': ['8.2.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5886026870728381955589152173', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [756474201, 12800], 'lmfdb_iso': '198450.g', 'lmfdb_label': '198450.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -20589, -1115227], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.b.1', '15.8.0-3.a.1.2', '24.8.0.b.1', '120.16.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.9299395079221832665488052061', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 99225], [3, 6, 35], [5, 18, 7938], [7, 20, 4050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.41405912983003793914087131559', 'prec': 107}, 'szpiro_ratio': 3.6460939875564646, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}