Elliptic curve isogeny class data - 207214.r

Formats: - HTML - YAML - JSON - 2024-06-15T15:57:45.136631

• 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, -2, 1, -2, -2, -1, 1, 1, -2, -6, -2, 4, -1, 4, 1, -2, 1, 0, -2], 'aplist': [1, -2, -2, -1, -6, 4, -2, 0, 0, 0, 0, -10, 1, 4, 8, 4, 8, 10, 14, 12, -6, 0, 4, 14, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 207214, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '207214.r', 'trace_hash': 1797902427302718147}
• lmfdb_iso 207214.r 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: 1327600
    {'Ciso': '207214c', 'Clabel': '207214c2', 'Cnumber': 2, 'abc_quality': 0.9620242997759864, 'absD': 14588935949571160352, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [1, 0, 0, -801969, -206567735], 'analytic_rank': 0, 'bad_primes': [2, 7, 19, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207214, 'degree': 6842880, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3867087824731547609634147547', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [1212480836738137, 310100175392], 'lmfdb_iso': '207214.r', 'lmfdb_label': '207214.r1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2221, 29181], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '164.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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': '0.91448929288993453095890103876', 'prec': 103}, 'szpiro_ratio': 4.2803616655058185, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 1327599
    {'Ciso': '207214c', 'Clabel': '207214c1', 'Cnumber': 1, 'abc_quality': 0.9530492861581792, 'absD': 4742393417237504, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 328, 'ainvs': [1, 0, 0, -744209, -247149911], 'analytic_rank': 0, 'bad_primes': [2, 7, 19, 41], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 207214, 'degree': 3421440, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0401351921931821062547986940', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2], 'jinv': [968917714969177, 100803584], 'lmfdb_iso': '207214.r', 'lmfdb_label': '207214.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2061, 35165], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '82.6.0.?', '328.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56791570260996187625028497806', 'prec': 103}, 'szpiro_ratio': 4.262043322786623, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}