Elliptic curve isogeny class data - 14112.b

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• 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, -4, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, -4, 0, -2, 2, 0, -4, -6, 10, -8, 10, -4, 8, 4, -10, -8, 6, -4, 14, -6, -4, 12, 4, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 14112, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '14112.b', 'trace_hash': 1292410597035311156}
• ec_padic •

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

  
  
  • id: 628707
    {'lmfdb_iso': '14112.b', 'p': 5, 'prec': 20, 'unit': 90424970566507, 'val': -1}
  • id: 628706
    {'lmfdb_iso': '14112.b', 'p': 11, 'prec': 20, 'unit': 699571168409241918, 'val': 2}
  • id: 628713
    {'lmfdb_iso': '14112.b', 'p': 13, 'prec': 20, 'unit': 1207175522610761519767, 'val': 1}
  • id: 628716
    {'lmfdb_iso': '14112.b', 'p': 19, 'prec': 20, 'unit': 1294973450006044592393174, 'val': 1}
  • id: 628719
    {'lmfdb_iso': '14112.b', 'p': 23, 'prec': 20, 'unit': 5073189000532865294930099, 'val': 1}
  • id: 628712
    {'lmfdb_iso': '14112.b', 'p': 29, 'prec': 20, 'unit': 2463947957233160028171618292, 'val': 1}
  • id: 628709
    {'lmfdb_iso': '14112.b', 'p': 31, 'prec': 20, 'unit': 13776191491220175239636105706, 'val': 1}
  • id: 628724
    {'lmfdb_iso': '14112.b', 'p': 37, 'prec': 20, 'unit': 228016826210824887394683661711, 'val': 1}
  • id: 628710
    {'lmfdb_iso': '14112.b', 'p': 41, 'prec': 20, 'unit': 2270037721597099369990281314174, 'val': 1}
  • id: 628711
    {'lmfdb_iso': '14112.b', 'p': 43, 'prec': 20, 'unit': 2765640465991385399497019992272, 'val': 1}
  • id: 628721
    {'lmfdb_iso': '14112.b', 'p': 47, 'prec': 20, 'unit': 47928171641089563065815711821810, 'val': 1}
  • id: 628717
    {'lmfdb_iso': '14112.b', 'p': 53, 'prec': 20, 'unit': 159607555464482741236291195528021, 'val': 1}
  • id: 628715
    {'lmfdb_iso': '14112.b', 'p': 59, 'prec': 20, 'unit': 3796849227115618787237488521932391, 'val': 1}
  • id: 628722
    {'lmfdb_iso': '14112.b', 'p': 61, 'prec': 20, 'unit': 7899501961144542138029028005580781, 'val': 1}
  • id: 628705
    {'lmfdb_iso': '14112.b', 'p': 67, 'prec': 20, 'unit': 37659591315012259900669107218281410, 'val': 1}
  • id: 628708
    {'lmfdb_iso': '14112.b', 'p': 71, 'prec': 20, 'unit': 41085567119553563366497021801093249, 'val': 1}
  • id: 628718
    {'lmfdb_iso': '14112.b', 'p': 73, 'prec': 20, 'unit': 177187426836789705864548293803180586, 'val': 1}
  • id: 628714
    {'lmfdb_iso': '14112.b', 'p': 79, 'prec': 20, 'unit': 341513984707963236787786915980111758, 'val': 1}
  • id: 628723
    {'lmfdb_iso': '14112.b', 'p': 83, 'prec': 20, 'unit': 1176710849676649347420908974956789791, 'val': 1}
  • id: 628720
    {'lmfdb_iso': '14112.b', 'p': 89, 'prec': 20, 'unit': 4503051561708788213606224735111443810, 'val': 1}
  • id: 628704
    {'lmfdb_iso': '14112.b', 'p': 97, 'prec': 20, 'unit': 43179125798467496094759101935015246098, '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: 92507
    {'Ciso': '14112bc', 'Clabel': '14112bc2', 'Cnumber': 2, 'abc_quality': 1.0347941470054765, 'absD': 7115122531830362112, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -663852, -163926560], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14112, 'degree': 368640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3309161147141925024673303683', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [92100460096, 20253807], 'lmfdb_iso': '14112.b', 'lmfdb_label': '14112.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1505, -17199], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3358401462656047818794782355', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 1568], [7, 32, 288]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11550771529253569479979925666', 'prec': 103}, 'szpiro_ratio': 5.424619127512857, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 92506
    {'Ciso': '14112bc', 'Clabel': '14112bc1', 'Cnumber': 1, 'abc_quality': 1.048044296462054, 'absD': 156924320242915008, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, 92463, -15688820], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 14112, 'degree': 184320, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9843425244342198477587143075', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [15926924096, 28588707], 'lmfdb_iso': '14112.b', 'lmfdb_label': '14112.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 210, -1764], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '6.6.0.a.1', '28.6.0.b.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6716802925312095637589564709', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 1568], [7, 32, 288]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11550771529253569479979925659', 'prec': 103}, 'szpiro_ratio': 4.883425841995746, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}