Elliptic curve data - 2.0.3.1-120000.1-c3

Formats: - HTML - YAML - JSON - 2024-04-25T15:38:49.971709

• ec_nfcurves •

  Column	Type
  Lvalue	numeric
  abs_disc	bigint
  ainvs	text
  analytic_rank	smallint
  bad_primes	jsonb
  base_change	jsonb
  class_deg	integer
  class_label	text
  class_size	smallint
  cm	integer
  cm_type	smallint
  conductor_ideal	text
  conductor_label	text
  conductor_norm	bigint
  conductor_norm_factors	integer[]
  degree	smallint
  disc	text
  equation	text
  field_label	text
  galois_images	jsonb
  gens	jsonb
  heights	numeric[]
  iso_label	text
  iso_nlabel	smallint
  isodeg	integer[]
  isogeny_matrix	jsonb
  jinv	text
  label	text
  local_data	jsonb
  minD	text
  n_bad_primes	integer
  ngens	smallint
  non_min_p	jsonb
  nonmax_primes	smallint[]
  nonmax_rad	integer
  normdisc	numeric
  number	smallint
  omega	numeric
  potential_good_reduction	boolean
  q_curve	boolean
  rank	smallint
  rank_bounds	jsonb
  reducible_primes	integer[]
  reg	numeric
  root_analytic_conductor	double precision
  semistable	boolean
  sha	integer
  short_class_label	text
  short_label	text
  signature	jsonb
  tamagawa_product	integer
  torsion_gens	jsonb
  torsion_order	smallint
  torsion_primes	integer[]
  torsion_structure	jsonb
  trace_hash	bigint

  
  {'Lvalue': {'__RealLiteral__': 0, 'data': '5.3389099863738674464327758412352953036', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;-1,0;0,0;-508,0;1012,0', 'analytic_rank': 2, 'bad_primes': ['(-2*w+1)', '(2)', '(5)'], 'base_change': ['1800.n4', '600.c4'], 'class_deg': 8, 'class_label': '2.0.3.1-120000.1-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-400*w+200)', 'conductor_label': '120000.1', 'conductor_norm': 120000, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(8100000000)', 'equation': '{y}^2={x}^{3}-{x}^{2}-508{x}+1012', 'field_label': '2.0.3.1', 'galois_images': ['2Cs'], 'gens': ['[[4,0],[18,-36],[1,0]]', '[[-3,0],[-50,0],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.1782911821269616286254248511795338375', 'prec': 130}, {'__RealLiteral__': 0, 'data': '1.6012986801809169794643193346534967393', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '3631696/2025,0', 'label': '2.0.3.1-120000.1-c3', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(2)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 4, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(5)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 25, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}], 'minD': '(8100000000)', 'n_bad_primes': 3, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 65610000000000000000, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.30631500407152797643350432787073444285', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.8867961148087161299283950986460887361', 'prec': 130}, 'root_analytic_conductor': 2.880676517476319, 'semistable': False, 'sha': 1, 'short_class_label': '120000.1-c', 'short_label': '120000.1-c3', 'signature': [0, 1], 'tamagawa_product': 32, 'torsion_gens': ['[[-23,0],[0,0],[1,0]]', '[[2,0],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 914836890307808585}