Elliptic curve isogeny class data - 54720.z

Formats: - HTML - YAML - JSON - 2025-11-08T10:28:26.057712

• 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, 0, 0, -1, 0, -2, 0, 0, 0, 6, 0, 0, 0, 0, 0, -2, 0, -1, 0], 'aplist': [0, 0, -1, -2, 6, 0, -2, -1, 4, -8, 8, 4, 4, -6, -12, 6, 4, -2, -8, 0, 6, -8, -4, 4, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 54720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '54720.z', 'trace_hash': 1472118829318057451}
• ec_padic •

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

  
  
  • id: 2768330
    {'lmfdb_iso': '54720.z', 'p': 7, 'prec': 20, 'unit': 1289701696497247, 'val': 2}
  • id: 2768328
    {'lmfdb_iso': '54720.z', 'p': 11, 'prec': 20, 'unit': 30805232833931288991, 'val': 1}
  • id: 2768335
    {'lmfdb_iso': '54720.z', 'p': 17, 'prec': 20, 'unit': 185591105980772393372198, 'val': 1}
  • id: 2768340
    {'lmfdb_iso': '54720.z', 'p': 23, 'prec': 20, 'unit': 67399621087232582274814834, 'val': 1}
  • id: 2768333
    {'lmfdb_iso': '54720.z', 'p': 29, 'prec': 20, 'unit': 5135239865732296671656533546, 'val': 1}
  • id: 2768344
    {'lmfdb_iso': '54720.z', 'p': 31, 'prec': 20, 'unit': 6437161683437474213115624878, 'val': 1}
  • id: 2768329
    {'lmfdb_iso': '54720.z', 'p': 37, 'prec': 20, 'unit': 306314711862624033497845087535, 'val': 1}
  • id: 2768331
    {'lmfdb_iso': '54720.z', 'p': 41, 'prec': 20, 'unit': 2644382187247173913069575541985, 'val': 1}
  • id: 2768332
    {'lmfdb_iso': '54720.z', 'p': 43, 'prec': 20, 'unit': 9200813931011899692061696309502, 'val': 1}
  • id: 2768342
    {'lmfdb_iso': '54720.z', 'p': 47, 'prec': 20, 'unit': 12907566299277683519343463829271, 'val': 1}
  • id: 2768337
    {'lmfdb_iso': '54720.z', 'p': 53, 'prec': 20, 'unit': 325721789191368898537132438540883, 'val': 1}
  • id: 2768338
    {'lmfdb_iso': '54720.z', 'p': 59, 'prec': 20, 'unit': 201176500703173935543317234786007, 'val': 1}
  • id: 2768343
    {'lmfdb_iso': '54720.z', 'p': 61, 'prec': 20, 'unit': 2620914643571261735623284186580648, 'val': 1}
  • id: 2768327
    {'lmfdb_iso': '54720.z', 'p': 67, 'prec': 20, 'unit': 13765972751922334174517485993285341, 'val': 1}
  • id: 2768339
    {'lmfdb_iso': '54720.z', 'p': 73, 'prec': 20, 'unit': 54588872067113493806540044162355394, 'val': 1}
  • id: 2768334
    {'lmfdb_iso': '54720.z', 'p': 79, 'prec': 20, 'unit': 1119459819077742521076021754557228742, 'val': 1}
  • id: 2768336
    {'lmfdb_iso': '54720.z', 'p': 83, 'prec': 20, 'unit': 1618945326554057380920056303996930627, 'val': 1}
  • id: 2768341
    {'lmfdb_iso': '54720.z', 'p': 89, 'prec': 20, 'unit': 2869823814529781757521903980597478331, 'val': 1}
  • id: 2768326
    {'lmfdb_iso': '54720.z', 'p': 97, 'prec': 20, 'unit': 7241030966073753860398422316659030067, '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[]

  
  
  • id: 363474
    {'Ciso': '54720dq', 'Clabel': '54720dq2', 'Cnumber': 2, 'abc_quality': 0.9792620850623955, 'absD': 1058786928230400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [0, 0, 0, -932268, 346461392], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54720, 'degree': 589824, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0330177030267530610884258701', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [468898230633769, 5540400], 'lmfdb_iso': '54720.z', 'lmfdb_label': '54720.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1618, 24388], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.c.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5963841466216575815213276849', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 171], [3, 6, 6080], [5, 6, 10944], [19, 20, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44399078785278025126495506945', 'prec': 103}, 'szpiro_ratio': 4.844161749022816, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 363473
    {'Ciso': '54720dq', 'Clabel': '54720dq1', 'Cnumber': 1, 'abc_quality': 0.9267130699156433, 'absD': 2384231305052160, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1140, 'ainvs': [0, 0, 0, -56748, 5709008], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 54720, 'degree': 294912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6864441127467804063798098093', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [-105756712489, 12476160], 'lmfdb_iso': '54720.z', 'lmfdb_label': '54720.z2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -98, 372], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '76.6.0.?', '1140.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1927682932433151630426553698', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 45], [3, 6, 6080], [5, 6, 10944], [19, 20, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.097417197572807596556339008652', 'prec': 107}, 'szpiro_ratio': 4.091505079234551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}