Elliptic curve isogeny class data - 84700.g

Formats: - HTML - YAML - JSON - 2026-05-02T07:19:31.244871

• 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, -2, 0, 0, 0, -1, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, -2, 0, -1, 0, 4, 0, -2, -3, -9, 8, 5, 6, -11, 6, 6, 0, 10, 5, 15, 10, 7, -12, -12, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 84700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '84700.g', 'trace_hash': 1648613857281919972}
• lmfdb_iso 84700.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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 558139
    {'Ciso': '84700bb', 'Clabel': '84700bb2', 'Cnumber': 2, 'abc_quality': 0.8938173325222778, 'absD': 3797783893750000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 462, 'ainvs': [0, 1, 0, -297458, 62414713], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 84700, 'degree': 729000, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8964867874435313920752315774', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [-262885120, 343], 'lmfdb_iso': '84700.g', 'lmfdb_label': '84700.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, -343], 'min_quad_twist_disc': -55, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '14.2.0.a.1', '33.8.0-3.a.1.1', '42.8.0.a.1', '462.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 21175], [3, 2, 12100], [5, 14, 3388], [7, 8, 12100], [11, 62, 700]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60646851743170256616199047422', 'prec': 107}, 'szpiro_ratio': 4.355821436713638, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 558138
    {'Ciso': '84700bb', 'Clabel': '84700bb1', 'Cnumber': 1, 'abc_quality': 0.6625011787884216, 'absD': 77505793750000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 462, 'ainvs': [0, 1, 0, 5042, 402213], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 84700, 'degree': 243000, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3471806431094765463776089589', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [1280, 7], 'lmfdb_iso': '84700.g', 'lmfdb_label': '84700.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 2, -3], 'min_quad_twist_disc': -55, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '14.2.0.a.1', '33.8.0-3.a.1.2', '42.8.0.a.1', '462.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 21175], [5, 14, 3388], [7, 8, 12100], [11, 62, 700]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1557746617657574118596130927', 'prec': 103}, 'szpiro_ratio': 3.4656466853676786, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}