Elliptic curve isogeny class data - 97344.br

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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, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -2, 0, 0, 0, -2, 4, 0, 6, 0, -2, 6, -12, 4, 6, -8, 2, -4, 12, 14, 0, 8, -18, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 97344, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '97344.br', 'trace_hash': 1836250523852880700}
• ec_padic •

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

  
  
  • id: 5064296
    {'lmfdb_iso': '97344.br', 'p': 5, 'prec': 20, 'unit': 2787591588119, 'val': 2}
  • id: 5064289
    {'lmfdb_iso': '97344.br', 'p': 17, 'prec': 20, 'unit': 53277158746036521502280, 'val': 1}
  • id: 5064280
    {'lmfdb_iso': '97344.br', 'p': 19, 'prec': 20, 'unit': 77095387052536376989146, 'val': 1}
  • id: 5064287
    {'lmfdb_iso': '97344.br', 'p': 29, 'prec': 20, 'unit': 2038992463779793640022050556, 'val': 1}
  • id: 5064283
    {'lmfdb_iso': '97344.br', 'p': 37, 'prec': 20, 'unit': 434563617667375564009708559978, 'val': 1}
  • id: 5064285
    {'lmfdb_iso': '97344.br', 'p': 41, 'prec': 20, 'unit': 2496385342757016038181658056106, 'val': 1}
  • id: 5064286
    {'lmfdb_iso': '97344.br', 'p': 43, 'prec': 20, 'unit': 9634356143425475403568199334685, 'val': 1}
  • id: 5064288
    {'lmfdb_iso': '97344.br', 'p': 47, 'prec': 20, 'unit': 3250962533818770543679097619441, 'val': 1}
  • id: 5064291
    {'lmfdb_iso': '97344.br', 'p': 53, 'prec': 20, 'unit': 342897879086716913276178573264621, 'val': 1}
  • id: 5064294
    {'lmfdb_iso': '97344.br', 'p': 59, 'prec': 20, 'unit': 4036911467073128512212896896802183, 'val': 1}
  • id: 5064295
    {'lmfdb_iso': '97344.br', 'p': 61, 'prec': 20, 'unit': 3794182577610577847052122928292462, 'val': 1}
  • id: 5064282
    {'lmfdb_iso': '97344.br', 'p': 67, 'prec': 20, 'unit': 36637605895193537281432051932293560, 'val': 1}
  • id: 5064284
    {'lmfdb_iso': '97344.br', 'p': 71, 'prec': 20, 'unit': 108730259609190162348804112436221789, 'val': 1}
  • id: 5064292
    {'lmfdb_iso': '97344.br', 'p': 73, 'prec': 20, 'unit': 192005981104360896543476893876558745, 'val': 1}
  • id: 5064290
    {'lmfdb_iso': '97344.br', 'p': 83, 'prec': 20, 'unit': 476817845113090096071595459030520426, 'val': 1}
  • id: 5064293
    {'lmfdb_iso': '97344.br', 'p': 89, 'prec': 20, 'unit': 4543158458674845897537118529781782149, 'val': 1}
  • id: 5064281
    {'lmfdb_iso': '97344.br', 'p': 97, 'prec': 20, 'unit': 37936955403265795060548312550630279030, '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: 640834
    {'Ciso': '97344fh', 'Clabel': '97344fh4', 'Cnumber': 4, 'abc_quality': 1.052193877800105, 'absD': 8993571253714944, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -5063916, -4386090800], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 1376256, 'elladic_images': ['8.12.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3814797378475148467429797405', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [62275269892, 39], 'lmfdb_iso': '97344.br', 'lmfdb_label': '97344.br1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -832, -9520], 'min_quad_twist_disc': 312, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.6', '24.24.0-24.z.1.7', '104.24.0.?', '156.12.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.499441893707254686861019380', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 8, 10816], [13, 98, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942735', 'prec': 107}, 'szpiro_ratio': 5.043228525508687, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 640832
    {'Ciso': '97344fh', 'Clabel': '97344fh2', 'Cnumber': 2, 'abc_quality': 0.9871496807008809, 'absD': 87687319723720704, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -318396, -67667600], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 688128, 'elladic_images': ['8.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0349061475675421920343636798', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [61918288, 1521], 'lmfdb_iso': '97344.br', 'lmfdb_label': '97344.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -52, -160], 'min_quad_twist_disc': 312, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.2', '12.12.0.b.1', '24.24.0-12.b.1.4', '52.12.0.b.1', '104.24.0.?', '156.24.0.?', '312.48.0.?'], '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': '6.7497209468536273434305096899', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 8, 10816], [13, 98, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60554638615055054934344013448', 'prec': 107}, 'szpiro_ratio': 4.32062763331241, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
  • id: 640831
    {'Ciso': '97344fh', 'Clabel': '97344fh1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 3794162872660992, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -44616, 2091544], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 344064, 'elladic_images': ['8.12.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6883325572875695373257476191', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '97344.br', 'lmfdb_label': '97344.br3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': 312, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.6', '24.24.0-24.z.1.15', '26.6.0.b.1', '52.12.0.g.1', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3748604734268136717152548449', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 8, 10816], [13, 98, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548803', 'prec': 107}, 'szpiro_ratio': 3.807341303567336, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
  • id: 640833
    {'Ciso': '97344fh', 'Clabel': '97344fh3', 'Cnumber': 3, 'abc_quality': 1.0753683800031117, 'absD': 19758876044411731968, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, 46644, -213829616], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 97344, 'degree': 1376256, 'elladic_images': ['8.12.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3814797378475148467429797405', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2, 4], 'jinv': [48668, 85683], 'lmfdb_iso': '97344.br', 'lmfdb_label': '97344.br4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 8, -448], 'min_quad_twist_disc': 312, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0-4.c.1.6', '12.12.0.g.1', '24.24.0-12.g.1.5', '104.24.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.499441893707254686861019380', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 8, 10816], [13, 98, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37449732596390211287102942735', 'prec': 107}, 'szpiro_ratio': 4.517194573880107, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}