Elliptic curve isogeny class data - 48552.w

Formats: - HTML - YAML - JSON - 2025-09-29T10:24:43.688105

• 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, -1, 0, 1, 0, 4, 0, 2, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 1, 0, -1, 4, 2, 0, -2, -9, 3, 4, -7, 6, -1, -8, -3, -10, 14, 4, 5, -4, 13, -2, 10, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 48552, 'isogeny_matrix': [[1]], 'lmfdb_iso': '48552.w', 'trace_hash': 316464375830348445}
• ec_padic •

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

  
  
  • id: 2436947
    {'lmfdb_iso': '48552.w', 'p': 11, 'prec': 20, 'unit': 58557517538166020415, 'val': 1}
  • id: 2436953
    {'lmfdb_iso': '48552.w', 'p': 13, 'prec': 20, 'unit': 178329060740266288771, 'val': 1}
  • id: 2436956
    {'lmfdb_iso': '48552.w', 'p': 19, 'prec': 20, 'unit': 551262015005276800131027, 'val': 1}
  • id: 2436959
    {'lmfdb_iso': '48552.w', 'p': 23, 'prec': 20, 'unit': 46148084840154096293179235, 'val': 1}
  • id: 2436952
    {'lmfdb_iso': '48552.w', 'p': 29, 'prec': 20, 'unit': 5550066545068602241079582761, 'val': 1}
  • id: 2436964
    {'lmfdb_iso': '48552.w', 'p': 31, 'prec': 20, 'unit': 18644279819272040710169663569, 'val': 1}
  • id: 2436948
    {'lmfdb_iso': '48552.w', 'p': 37, 'prec': 20, 'unit': 287640095346402331130836938196, 'val': 1}
  • id: 2436950
    {'lmfdb_iso': '48552.w', 'p': 41, 'prec': 20, 'unit': 207262231447420539066631608465, 'val': 1}
  • id: 2436951
    {'lmfdb_iso': '48552.w', 'p': 43, 'prec': 20, 'unit': 846727903600422388831081209302, 'val': 1}
  • id: 2436961
    {'lmfdb_iso': '48552.w', 'p': 47, 'prec': 20, 'unit': 3304291918817737994992323617605, 'val': 1}
  • id: 2436957
    {'lmfdb_iso': '48552.w', 'p': 53, 'prec': 20, 'unit': 77584360252886034037501006269580, 'val': 1}
  • id: 2436955
    {'lmfdb_iso': '48552.w', 'p': 59, 'prec': 20, 'unit': 1049438320979357447785137184904830, 'val': 1}
  • id: 2436962
    {'lmfdb_iso': '48552.w', 'p': 61, 'prec': 20, 'unit': 1597401011604856577442345512397414, 'val': 1}
  • id: 2436946
    {'lmfdb_iso': '48552.w', 'p': 67, 'prec': 20, 'unit': 41249590958102548900226857273707963, 'val': 1}
  • id: 2436949
    {'lmfdb_iso': '48552.w', 'p': 71, 'prec': 20, 'unit': 6502557546069833037602573492243451, 'val': 1}
  • id: 2436958
    {'lmfdb_iso': '48552.w', 'p': 73, 'prec': 20, 'unit': 25704715393018661122662002850400687, 'val': 1}
  • id: 2436954
    {'lmfdb_iso': '48552.w', 'p': 79, 'prec': 20, 'unit': 233201491873743226128734687508216686, 'val': 1}
  • id: 2436963
    {'lmfdb_iso': '48552.w', 'p': 83, 'prec': 20, 'unit': 2240790918698380901141007514096005007, 'val': 1}
  • id: 2436960
    {'lmfdb_iso': '48552.w', 'p': 89, 'prec': 20, 'unit': 3919780834606404444441391762705611233, 'val': 1}
  • id: 2436945
    {'lmfdb_iso': '48552.w', 'p': 97, 'prec': 20, 'unit': 15612649233367726595476919508600121253, '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': '48552r', 'Clabel': '48552r1', 'Cnumber': 1, 'abc_quality': 1.0026668066008428, 'absD': 9904771426032, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14, 'ainvs': [0, 1, 0, -48648, -4148991], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 48552, 'degree': 133056, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4250764408158080242697543584', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1], 'jinv': [-9528223648000, 7411887], 'lmfdb_iso': '48552.w', 'lmfdb_label': '48552.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -48648, -4148991], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['14.2.0.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': '3.9435718037924602711316131950', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2023], [3, 4, 16184], [7, 8, 6936], [17, 114, 168]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.24962293261042089438083211196', 'prec': 103}, 'szpiro_ratio': 4.076966827389669, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}