Elliptic curve isogeny class data - 78144.ci

Formats: - HTML - YAML - JSON - 2024-05-25T09:30:17.199379

• 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, 0, 0, 1, 0, -1, 0, -2, 0, 0, 0, -4, 0, -2, 0], 'aplist': [0, 1, 0, 0, -1, -2, -4, -2, 0, 4, -2, 1, 10, 2, -8, -10, 0, 10, 8, 16, 10, -14, -4, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 78144, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '78144.ci', 'trace_hash': 2107152894911642264}
• ec_padic •

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

  
  
  • id: 4023249
    {'lmfdb_iso': '78144.ci', 'p': 13, 'prec': 20, 'unit': 1173076602039541586515, 'val': 1}
  • id: 4023251
    {'lmfdb_iso': '78144.ci', 'p': 17, 'prec': 20, 'unit': 7025459636377073148195, 'val': 1}
  • id: 4023252
    {'lmfdb_iso': '78144.ci', 'p': 19, 'prec': 20, 'unit': 1641387337568503230464014, 'val': 1}
  • id: 4023248
    {'lmfdb_iso': '78144.ci', 'p': 29, 'prec': 20, 'unit': 6042273056727273208008970984, 'val': 1}
  • id: 4023258
    {'lmfdb_iso': '78144.ci', 'p': 31, 'prec': 20, 'unit': 322054490110457008815759499, 'val': 1}
  • id: 4023246
    {'lmfdb_iso': '78144.ci', 'p': 41, 'prec': 20, 'unit': 662043942263017235906015102826, 'val': 1}
  • id: 4023247
    {'lmfdb_iso': '78144.ci', 'p': 43, 'prec': 20, 'unit': 3072774085492901425773267733461, 'val': 1}
  • id: 4023250
    {'lmfdb_iso': '78144.ci', 'p': 47, 'prec': 20, 'unit': 55693331051407553562828176923338, 'val': 1}
  • id: 4023253
    {'lmfdb_iso': '78144.ci', 'p': 53, 'prec': 20, 'unit': 142887756496696451021008862982287, 'val': 1}
  • id: 4023257
    {'lmfdb_iso': '78144.ci', 'p': 61, 'prec': 20, 'unit': 8118908214484033792512827061937680, 'val': 1}
  • id: 4023244
    {'lmfdb_iso': '78144.ci', 'p': 67, 'prec': 20, 'unit': 9475687141517557342344548536257605, 'val': 1}
  • id: 4023245
    {'lmfdb_iso': '78144.ci', 'p': 71, 'prec': 20, 'unit': 27115026643960435618801378904406711, 'val': 1}
  • id: 4023254
    {'lmfdb_iso': '78144.ci', 'p': 73, 'prec': 20, 'unit': 172796728210868132049873810385202908, 'val': 1}
  • id: 4023256
    {'lmfdb_iso': '78144.ci', 'p': 79, 'prec': 20, 'unit': 168735973000824991772477573979717328, 'val': 1}
  • id: 4023243
    {'lmfdb_iso': '78144.ci', 'p': 83, 'prec': 20, 'unit': 2095551578336938477544126675026237873, 'val': 1}
  • id: 4023255
    {'lmfdb_iso': '78144.ci', 'p': 89, 'prec': 20, 'unit': 3264545309748492393663471640498678127, 'val': 1}
  • id: 4023242
    {'lmfdb_iso': '78144.ci', 'p': 97, 'prec': 20, 'unit': 157422850159022541560794218403229852, '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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  
  • id: 515792
    {'Ciso': '78144be', 'Clabel': '78144be2', 'Cnumber': 2, 'abc_quality': 1.0717129218404469, 'absD': 659500351488, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, 1, 0, -627313, 191029199], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 78144, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7879193865140809217190899311', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2], 'jinv': [1666315860501346000, 40252707], 'lmfdb_iso': '78144.ci', 'lmfdb_label': '78144.ci1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -156828, 23957064], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.a.1', '148.6.0.?', '444.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.54234826311795800443479795047', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97924767586081139406565245607', 'prec': 103}, 'szpiro_ratio': 4.585460007252237, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 515791
    {'Ciso': '78144be', 'Clabel': '78144be1', 'Cnumber': 1, 'abc_quality': 1.3018384230554119, 'absD': 32755555464192, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 444, 'ainvs': [0, 1, 0, -39253, 2967611], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 78144, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4413457962341082670104738703', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2], 'jinv': [6532108386304000, 31987847133], 'lmfdb_iso': '78144.ci', 'lmfdb_label': '78144.ci2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -9813, 375858], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '74.6.0.?', '444.12.0.?'], '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': '1.0846965262359160088695959009', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86372314576748717582944710242', 'prec': 103}, 'szpiro_ratio': 3.8474872002209874, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}