Elliptic curve isogeny class data - 20070.ba

Formats: - HTML - YAML - JSON - 2025-03-15T03:22:59.114694

• 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, -1, 0, 4, 1, 0, -1, 4, 0, 6, 4, 0, 1, -6, 0, 0, -1], 'aplist': [1, 0, -1, 4, 4, 6, -6, 0, 2, -2, -8, -4, 8, -6, 8, 6, -4, 8, 8, 0, -2, 8, 12, -12, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 20070, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '20070.ba', 'trace_hash': 114357731353863205}
• lmfdb_iso 20070.ba 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: 132982
    {'Ciso': '20070w', 'Clabel': '20070w1', 'Cnumber': 1, 'abc_quality': 1.1626878771110754, 'absD': 8989304832000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 26760, 'ainvs': [1, -1, 1, -14528, 661987], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 20070, 'degree': 74592, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2666565734924548881746968249', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [17227485284283, 456704000], 'lmfdb_iso': '20070.ba', 'lmfdb_label': '20070.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -1614, -23980], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '6690.6.0.?', '8920.6.0.?', '26760.12.0.?'], '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, 'serre_invariants': [[2, 4, 3345], [3, 2, 446], [5, 6, 4014], [7, 2, 10035], [223, 224, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44269735699137261962826289721', 'prec': 103}, 'szpiro_ratio': 4.0744032923813, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 132983
    {'Ciso': '20070w', 'Clabel': '20070w2', 'Cnumber': 2, 'abc_quality': 1.1582936919840696, 'absD': 1957631814000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 26760, 'ainvs': [1, -1, 1, 2752, 2127331], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 20070, 'degree': 149184, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6132301637724275428833128856', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [117145509957, 99458000000], 'lmfdb_iso': '20070.ba', 'lmfdb_label': '20070.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 306, -78892], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '8920.6.0.?', '13380.6.0.?', '26760.12.0.?'], '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, 'serre_invariants': [[2, 4, 3], [3, 2, 446], [5, 6, 4014], [7, 2, 10035], [223, 224, 90]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.78927094727134527433687895791', 'prec': 103}, 'szpiro_ratio': 4.3065135659443285, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}