Elliptic curve isogeny class data - 4864.m

Formats: - HTML - YAML - JSON - 2025-09-20T10:34:32.409868

• 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, 1, 0, 0, 0, 3, 0, -2, 0, 0, 0, -3, 0, 0, 0, 3, 0, -1, 0], 'aplist': [0, 1, 0, 3, 0, -3, 3, -1, -9, 9, -6, -6, -6, -8, 0, 9, -3, -6, 5, 0, -11, 12, 6, 0, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 4864, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4864.m', 'trace_hash': 1718726285260228130}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 177550
    {'lmfdb_iso': '4864.m', 'p': 7, 'prec': 20, 'unit': 2837618546294601, 'val': 1}
  • id: 177554
    {'lmfdb_iso': '4864.m', 'p': 13, 'prec': 20, 'unit': 607227853141897879595, 'val': 1}
  • id: 177556
    {'lmfdb_iso': '4864.m', 'p': 17, 'prec': 20, 'unit': 10860697456453690690456, 'val': 1}
  • id: 177560
    {'lmfdb_iso': '4864.m', 'p': 23, 'prec': 20, 'unit': 45284381061578702996945967, 'val': 1}
  • id: 177553
    {'lmfdb_iso': '4864.m', 'p': 29, 'prec': 20, 'unit': 406464155152972829460769697, 'val': 1}
  • id: 177563
    {'lmfdb_iso': '4864.m', 'p': 31, 'prec': 20, 'unit': 21076869083474947878491846258, 'val': 1}
  • id: 177549
    {'lmfdb_iso': '4864.m', 'p': 37, 'prec': 20, 'unit': 14849309730703378408004200952, 'val': 1}
  • id: 177551
    {'lmfdb_iso': '4864.m', 'p': 41, 'prec': 20, 'unit': 2184997565266038904867509872159, 'val': 1}
  • id: 177552
    {'lmfdb_iso': '4864.m', 'p': 43, 'prec': 20, 'unit': 4869139676188686891241462146230, 'val': 1}
  • id: 177558
    {'lmfdb_iso': '4864.m', 'p': 53, 'prec': 20, 'unit': 163817108036243453536933744046178, 'val': 1}
  • id: 177561
    {'lmfdb_iso': '4864.m', 'p': 59, 'prec': 20, 'unit': 2670024530277007406121832236922157, 'val': 1}
  • id: 177562
    {'lmfdb_iso': '4864.m', 'p': 61, 'prec': 20, 'unit': 1603873563641263215044348360119701, 'val': 1}
  • id: 177548
    {'lmfdb_iso': '4864.m', 'p': 67, 'prec': 20, 'unit': 34389507509222828709759319019020185, 'val': 1}
  • id: 177559
    {'lmfdb_iso': '4864.m', 'p': 73, 'prec': 20, 'unit': 211060580622624042181705807484124020, 'val': 1}
  • id: 177555
    {'lmfdb_iso': '4864.m', 'p': 79, 'prec': 20, 'unit': 416588044001810425056450481488795273, 'val': 1}
  • id: 177557
    {'lmfdb_iso': '4864.m', 'p': 83, 'prec': 20, 'unit': 148542851539752201127808375025151024, 'val': 1}
  • id: 177547
    {'lmfdb_iso': '4864.m', 'p': 97, 'prec': 20, 'unit': 13800654249433862397222050261107674160, 'val': 1}
• 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[]

  
  {'Ciso': '4864b', 'Clabel': '4864b1', 'Cnumber': 1, 'abc_quality': 0.9107172888152925, 'absD': 3511808, 'adelic_genus': 3, 'adelic_index': 72, 'adelic_level': 1368, 'ainvs': [0, 1, 0, 37, 41], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4864, 'degree': 576, 'elladic_images': ['9.18.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.055106985313350406199483738257', 'prec': 110}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [10648000, 6859], 'lmfdb_iso': '4864.m', 'lmfdb_label': '4864.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 37, -41], 'min_quad_twist_disc': -4, 'modell_images': ['3Ns'], 'modm_images': ['3.6.0.b.1', '9.18.0.a.1', '24.12.0.bc.1', '72.36.0.?', '152.2.0.?', '228.12.0.?', '456.24.1.?', '684.36.1.?', '1368.72.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4839343303191432601515143585', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 19], [3, 2, 256], [19, 20, 256]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57496737073330938826240782935', 'prec': 107}, 'szpiro_ratio': 2.6407797649906426, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}