Elliptic curve isogeny class data - 122304.b

Formats: - HTML - YAML - JSON - 2025-10-31T19:57:11.230314

• 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, -4, 0, 0, 0, 1, 0, -1, 0, -1, 0, 4, 0, -3, 0, 1, 0], 'aplist': [0, -1, -4, 0, -1, -1, -3, 1, -6, 9, -8, 8, 0, 10, -11, -1, 5, -15, -5, 15, -2, 2, 8, 0, -10], 'class_deg': 1, 'class_size': 1, 'conductor': 122304, 'isogeny_matrix': [[1]], 'lmfdb_iso': '122304.b', 'trace_hash': 2106933558640192900}
• ec_padic •

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

  
  
  • id: 6399875
    {'lmfdb_iso': '122304.b', 'p': 5, 'prec': 20, 'unit': 57706676970348, 'val': -1}
  • id: 6399882
    {'lmfdb_iso': '122304.b', 'p': 11, 'prec': 20, 'unit': 7055447156031419653, 'val': 1}
  • id: 6399883
    {'lmfdb_iso': '122304.b', 'p': 17, 'prec': 20, 'unit': 3599760672238531251150, 'val': 2}
  • id: 6399884
    {'lmfdb_iso': '122304.b', 'p': 19, 'prec': 20, 'unit': 13605743806959121059240055, 'val': -1}
  • id: 6399887
    {'lmfdb_iso': '122304.b', 'p': 23, 'prec': 20, 'unit': 26971198826501811852027231, 'val': 1}
  • id: 6399880
    {'lmfdb_iso': '122304.b', 'p': 29, 'prec': 20, 'unit': 2552988156470213027041465406, 'val': 1}
  • id: 6399877
    {'lmfdb_iso': '122304.b', 'p': 31, 'prec': 20, 'unit': 11520646950439967149422507020, 'val': 1}
  • id: 6399890
    {'lmfdb_iso': '122304.b', 'p': 37, 'prec': 20, 'unit': 511474961636012094759376347127, 'val': 1}
  • id: 6399879
    {'lmfdb_iso': '122304.b', 'p': 43, 'prec': 20, 'unit': 10499889061764140724588798936918, 'val': 1}
  • id: 6399888
    {'lmfdb_iso': '122304.b', 'p': 47, 'prec': 20, 'unit': 38055880836936071695423963523966, 'val': 1}
  • id: 6399885
    {'lmfdb_iso': '122304.b', 'p': 53, 'prec': 20, 'unit': 567402375194024692590328480554773, 'val': 1}
  • id: 6399886
    {'lmfdb_iso': '122304.b', 'p': 59, 'prec': 20, 'unit': 4144417843825052706222218084377203, 'val': 1}
  • id: 6399889
    {'lmfdb_iso': '122304.b', 'p': 61, 'prec': 20, 'unit': 6809612695169651687328075941556081, 'val': 1}
  • id: 6399874
    {'lmfdb_iso': '122304.b', 'p': 67, 'prec': 20, 'unit': 35514613088905901476195859807152463, 'val': 1}
  • id: 6399876
    {'lmfdb_iso': '122304.b', 'p': 71, 'prec': 20, 'unit': 62169363212333055644412141514161342, 'val': 1}
  • id: 6399878
    {'lmfdb_iso': '122304.b', 'p': 73, 'prec': 20, 'unit': 186040273838616684416408257501494796, 'val': 1}
  • id: 6399881
    {'lmfdb_iso': '122304.b', 'p': 79, 'prec': 20, 'unit': 215936789425230087423733616574294650, 'val': 1}
  • id: 6399873
    {'lmfdb_iso': '122304.b', 'p': 83, 'prec': 20, 'unit': 2429036552458911025141243342767041386, 'val': 1}
  • id: 6399872
    {'lmfdb_iso': '122304.b', 'p': 97, 'prec': 20, 'unit': 44168731326297420189909815321637954572, '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': '122304ft', 'Clabel': '122304ft1', 'Cnumber': 1, 'abc_quality': 0.9919673475476224, 'absD': 5110090880291331637248, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 52, 'ainvs': [0, -1, 0, -11681665, 15751629601], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 122304, 'degree': 12386304, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9447017740243883760527612113', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-2380771254001, 69009408], 'lmfdb_iso': '122304.b', 'lmfdb_label': '122304.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3725, 89361], 'min_quad_twist_disc': 56, 'modell_images': [], 'modm_images': ['52.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6624220130993877039326350377', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 637], [3, 4, 40768], [7, 20, 2496], [13, 14, 9408]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28338921230504265767245240958', 'prec': 103}, 'szpiro_ratio': 5.163198053852326, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}