Elliptic curve isogeny class data - 1700.a

Formats: - HTML - YAML - JSON - 2024-06-04T07:44:29.192056

• 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, 1, 0, -2, 0, 0, 0, 1, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, -1, 0, 1, 0, 1, 1, -4, 0, -6, -1, -2, 0, -2, 6, -3, -6, -10, 4, -3, -2, -1, -12, -6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 1700, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1700.a', 'trace_hash': 625300098471588457}
• ec_padic •

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

  
  
  • id: 46873
    {'lmfdb_iso': '1700.a', 'p': 7, 'prec': 20, 'unit': 16610376264350838, 'val': -1}
  • id: 46877
    {'lmfdb_iso': '1700.a', 'p': 13, 'prec': 20, 'unit': 18460567754415274888065, 'val': -1}
  • id: 46880
    {'lmfdb_iso': '1700.a', 'p': 19, 'prec': 20, 'unit': 21773898698070635463569, 'val': 1}
  • id: 46876
    {'lmfdb_iso': '1700.a', 'p': 29, 'prec': 20, 'unit': 4629523852507424573720792903, 'val': 1}
  • id: 46886
    {'lmfdb_iso': '1700.a', 'p': 31, 'prec': 20, 'unit': 8627936963140691573360643789, 'val': 1}
  • id: 46872
    {'lmfdb_iso': '1700.a', 'p': 37, 'prec': 20, 'unit': 593495590154739026124975614707, 'val': 1}
  • id: 46875
    {'lmfdb_iso': '1700.a', 'p': 43, 'prec': 20, 'unit': 1006706904102178701835075329635, 'val': 1}
  • id: 46884
    {'lmfdb_iso': '1700.a', 'p': 47, 'prec': 20, 'unit': 21154734561340124148369594295923, 'val': 1}
  • id: 46881
    {'lmfdb_iso': '1700.a', 'p': 53, 'prec': 20, 'unit': 460632818825082401998752413350516, 'val': 1}
  • id: 46879
    {'lmfdb_iso': '1700.a', 'p': 59, 'prec': 20, 'unit': 1159625730008246556484458219752377, 'val': 1}
  • id: 46885
    {'lmfdb_iso': '1700.a', 'p': 61, 'prec': 20, 'unit': 6506729366829385842818802178359923, 'val': 1}
  • id: 46871
    {'lmfdb_iso': '1700.a', 'p': 67, 'prec': 20, 'unit': 32781342181419429369600591301976608, 'val': 1}
  • id: 46883
    {'lmfdb_iso': '1700.a', 'p': 71, 'prec': 20, 'unit': 46233506519698686313885497667502972, 'val': 1}
  • id: 46874
    {'lmfdb_iso': '1700.a', 'p': 73, 'prec': 20, 'unit': 234867167666602102029649385091550801, 'val': 1}
  • id: 46878
    {'lmfdb_iso': '1700.a', 'p': 79, 'prec': 20, 'unit': 37976185679750568754202285348511053, 'val': 1}
  • id: 46870
    {'lmfdb_iso': '1700.a', 'p': 83, 'prec': 20, 'unit': 972801253156484782285672742088771001, 'val': 1}
  • id: 46882
    {'lmfdb_iso': '1700.a', 'p': 89, 'prec': 20, 'unit': 10294422250365670077752479678732197861, 'val': 1}
  • id: 46869
    {'lmfdb_iso': '1700.a', 'p': 97, 'prec': 20, 'unit': 25238322289271417348309618074429421582, '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: 9434
    {'Ciso': '1700b', 'Clabel': '1700b2', 'Cnumber': 2, 'abc_quality': 0.961648299562589, 'absD': 31443200, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1020, 'ainvs': [0, -1, 0, -188, -968], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1700, 'degree': 216, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20486314546351930431805705908', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-115431760, 4913], 'lmfdb_iso': '1700.a', 'lmfdb_label': '1700.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -188, -968], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.1', '68.2.0.a.1', '204.8.0.?', '1020.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.43161669470426804973671019731', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52547462698212763106022424410', 'prec': 107}, 'szpiro_ratio': 3.683490022257043, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • id: 9433
    {'Ciso': '1700b', 'Clabel': '1700b1', 'Cnumber': 1, 'abc_quality': 0.7104548126392162, 'absD': 108800, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1020, 'ainvs': [0, -1, 0, 12, -8], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1700, 'degree': 72, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.34444299887053554137956555938', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [27440, 17], 'lmfdb_iso': '1700.a', 'lmfdb_label': '1700.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 12, -8], 'min_quad_twist_disc': 1, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '15.8.0-3.a.1.2', '68.2.0.a.1', '204.8.0.?', '1020.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2948500841128041492101305919', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0747807713161824767578468626', 'prec': 103}, 'szpiro_ratio': 2.5521419102027005, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}