Elliptic curve isogeny class data - 81312.bx

Formats: - HTML - YAML - JSON - 2025-10-18T20:41:41.794468

• 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, 1, 0, 1, 0, 0, 0, -6, 0, 4, 0, 0, 0, -2, 0], 'aplist': [0, 1, 4, 1, 0, -6, 0, -2, -4, 2, 2, 2, 0, -4, -6, 2, 0, -14, 12, -8, 4, 8, 2, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 81312, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '81312.bx', 'trace_hash': 612215790990580063}
• ec_padic •

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

  
  
  • id: 4192250
    {'lmfdb_iso': '81312.bx', 'p': 5, 'prec': 20, 'unit': 13789951955689, 'val': 1}
  • id: 4192256
    {'lmfdb_iso': '81312.bx', 'p': 13, 'prec': 20, 'unit': 99414897666459709156, 'val': 2}
  • id: 4192258
    {'lmfdb_iso': '81312.bx', 'p': 19, 'prec': 20, 'unit': 1413605037414716586738845, 'val': 1}
  • id: 4192260
    {'lmfdb_iso': '81312.bx', 'p': 23, 'prec': 20, 'unit': 1762668572199427632729783, 'val': 1}
  • id: 4192255
    {'lmfdb_iso': '81312.bx', 'p': 29, 'prec': 20, 'unit': 4476313936030067491076874003, 'val': 1}
  • id: 4192252
    {'lmfdb_iso': '81312.bx', 'p': 31, 'prec': 20, 'unit': 17438143452030550989856283430, 'val': 1}
  • id: 4192264
    {'lmfdb_iso': '81312.bx', 'p': 37, 'prec': 20, 'unit': 412837041091375374802967774129, 'val': 1}
  • id: 4192254
    {'lmfdb_iso': '81312.bx', 'p': 43, 'prec': 20, 'unit': 7266634530311361628759167120724, 'val': 1}
  • id: 4192257
    {'lmfdb_iso': '81312.bx', 'p': 47, 'prec': 20, 'unit': 5505016160986889340877668000004, 'val': 1}
  • id: 4192259
    {'lmfdb_iso': '81312.bx', 'p': 53, 'prec': 20, 'unit': 470644859760564038166894282275431, 'val': 1}
  • id: 4192263
    {'lmfdb_iso': '81312.bx', 'p': 61, 'prec': 20, 'unit': 3313210426785401591104042648387297, 'val': 1}
  • id: 4192249
    {'lmfdb_iso': '81312.bx', 'p': 67, 'prec': 20, 'unit': 33014444132371650636657528825611550, 'val': 1}
  • id: 4192251
    {'lmfdb_iso': '81312.bx', 'p': 71, 'prec': 20, 'unit': 1627294110095439836768736106562305, 'val': 1}
  • id: 4192253
    {'lmfdb_iso': '81312.bx', 'p': 73, 'prec': 20, 'unit': 247347732682516431621249797813877599, 'val': 1}
  • id: 4192262
    {'lmfdb_iso': '81312.bx', 'p': 79, 'prec': 20, 'unit': 205506111215543849383834310071708550, 'val': 1}
  • id: 4192248
    {'lmfdb_iso': '81312.bx', 'p': 83, 'prec': 20, 'unit': 992405140594945338596088152912701626, 'val': 1}
  • id: 4192261
    {'lmfdb_iso': '81312.bx', 'p': 89, 'prec': 20, 'unit': 5596054673711959136632768960684755323, 'val': 1}
  • id: 4192247
    {'lmfdb_iso': '81312.bx', 'p': 97, 'prec': 20, 'unit': 20541795978381534798925985736299273561, '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: 535997
    {'Ciso': '81312bx', 'Clabel': '81312bx2', 'Cnumber': 2, 'abc_quality': 0.9871420530707399, 'absD': 39600425829888, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, 1, 0, -11656, -381988], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 81312, 'degree': 307200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3219242151134618999064085915', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [193100552, 43659], 'lmfdb_iso': '81312.bx', 'lmfdb_label': '81312.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -96, -252], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9983077953590188701842727283', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 27104], [7, 8, 11616], [11, 72, 672]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39688380670568235418748728858', 'prec': 107}, 'szpiro_ratio': 3.511785440499097, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 535996
    {'Ciso': '81312bx', 'Clabel': '81312bx1', 'Cnumber': 1, 'abc_quality': 0.8118894454035532, 'absD': 864295008192, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, 1, 0, 1654, -35928], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 81312, 'degree': 153600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97535062483348924519779253073', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [4410944, 7623], 'lmfdb_iso': '81312.bx', 'lmfdb_label': '81312.bx2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 14, -32], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '14.6.0.b.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.9966155907180377403685454567', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 847], [3, 4, 27104], [7, 8, 11616], [11, 72, 672]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57017060184566868154179531898', 'prec': 107}, 'szpiro_ratio': 3.0543069610445626, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}