Elliptic curve isogeny class data - 111573.w

Formats: - HTML - YAML - JSON - 2024-05-29T02:02:47.938637

• 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, 1, 0, -1, -4, 0, 0, -3, 0, -4, -1, 0, 6, 0, 0, -1, 4, 0, 4, 4], 'aplist': [1, 0, -4, 0, -1, 6, 4, 4, -1, 6, -10, 10, 10, -4, -2, -6, -6, 4, 4, 0, 2, -8, -16, 0, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 111573, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '111573.w', 'trace_hash': 134866622762418187}
• ec_padic •

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

  
  
  • id: 5824815
    {'lmfdb_iso': '111573.w', 'p': 5, 'prec': 20, 'unit': 64436853851746, 'val': 0}
  • id: 5824820
    {'lmfdb_iso': '111573.w', 'p': 13, 'prec': 20, 'unit': 1249234854866989812949, 'val': 1}
  • id: 5824822
    {'lmfdb_iso': '111573.w', 'p': 17, 'prec': 20, 'unit': 88255157338508995302929, 'val': 1}
  • id: 5824823
    {'lmfdb_iso': '111573.w', 'p': 19, 'prec': 20, 'unit': 1373292735697652783813006, 'val': 1}
  • id: 5824819
    {'lmfdb_iso': '111573.w', 'p': 29, 'prec': 20, 'unit': 3091383247223193806033359056, 'val': 1}
  • id: 5824816
    {'lmfdb_iso': '111573.w', 'p': 31, 'prec': 20, 'unit': 15221694305448014680444832450, 'val': 1}
  • id: 5824829
    {'lmfdb_iso': '111573.w', 'p': 37, 'prec': 20, 'unit': 127713545714833363471214981770, 'val': 1}
  • id: 5824817
    {'lmfdb_iso': '111573.w', 'p': 41, 'prec': 20, 'unit': 2535778251847083022109960528249, 'val': 1}
  • id: 5824818
    {'lmfdb_iso': '111573.w', 'p': 43, 'prec': 20, 'unit': 9182642946727408522215846846018, 'val': 1}
  • id: 5824827
    {'lmfdb_iso': '111573.w', 'p': 47, 'prec': 20, 'unit': 30171938529225742662219570616517, 'val': 1}
  • id: 5824824
    {'lmfdb_iso': '111573.w', 'p': 53, 'prec': 20, 'unit': 379666174038198294806103586168315, 'val': 1}
  • id: 5824825
    {'lmfdb_iso': '111573.w', 'p': 59, 'prec': 20, 'unit': 3971622774471195681916312304516694, 'val': 1}
  • id: 5824828
    {'lmfdb_iso': '111573.w', 'p': 61, 'prec': 20, 'unit': 5500502140734868689702010590158167, 'val': 1}
  • id: 5824814
    {'lmfdb_iso': '111573.w', 'p': 67, 'prec': 20, 'unit': 23329902847614211228028785243384589, 'val': 1}
  • id: 5824826
    {'lmfdb_iso': '111573.w', 'p': 73, 'prec': 20, 'unit': 87813294773298991293222719455930034, 'val': 1}
  • id: 5824821
    {'lmfdb_iso': '111573.w', 'p': 79, 'prec': 20, 'unit': 1007854527453011022054532158253556969, 'val': 1}
  • id: 5824813
    {'lmfdb_iso': '111573.w', 'p': 83, 'prec': 20, 'unit': 2562623432308144223617618214272963507, 'val': 1}
  • id: 5824812
    {'lmfdb_iso': '111573.w', 'p': 97, 'prec': 20, 'unit': 28711768365955481168439304137566884401, '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: 731233
    {'Ciso': '111573s', 'Clabel': '111573s2', 'Cnumber': 2, 'abc_quality': 1.0402508873967646, 'absD': 1415175903311247, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [1, -1, 0, -46314, -3370991], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 111573, 'degree': 921600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6358713803193146513435126599', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [128100283921, 16500407], 'lmfdb_iso': '111573.w', 'lmfdb_label': '111573.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -105, -374], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7628958587272813475035354063', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11361016145760315309321366972', 'prec': 103}, 'szpiro_ratio': 3.772291803491115, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 731232
    {'Ciso': '111573s', 'Clabel': '111573s1', 'Cnumber': 1, 'abc_quality': 0.8531470518105876, 'absD': 38428625473623, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [1, -1, 0, 4401, -277376], 'analytic_rank': 1, 'bad_primes': [3, 7, 11, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 111573, 'degree': 460800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2892977900393419966348965991', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [109902239, 448063], 'lmfdb_iso': '111573.w', 'lmfdb_label': '111573.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 10, -29], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3814479293636406737517677032', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23296342882236950161540239108', 'prec': 107}, 'szpiro_ratio': 3.319567487774891, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}