Elliptic curve data - 2.0.4.1-67600.6-a4

Formats: - HTML - YAML - JSON - 2025-01-25T23:06:33.702258

• 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': '3.4000333343239243000530617954080781598', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;-1,1;0,0;-5398,1714;-113108,43016', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.0.4.1-67600.6-a', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(100*w-240)', 'conductor_label': '67600.6', 'conductor_norm': 67600, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-4709360892800*w+2322416489600)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+\\left(i-1\\right){x}^{2}+\\left(1714i-5398\\right){x}+43016i-113108', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': ['[[-82,6],[42,-440],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.0594221563973689190043365603098168966', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 4, 12, 2, 4, 6, 12], [3, 1, 12, 4, 6, 12, 2, 4], [4, 12, 1, 12, 2, 4, 6, 3], [12, 4, 12, 1, 6, 3, 2, 4], [2, 6, 2, 6, 1, 2, 3, 6], [4, 12, 4, 3, 2, 1, 6, 12], [6, 2, 6, 2, 3, 6, 1, 2], [12, 4, 3, 4, 6, 12, 2, 1]], 'jinv': '104798752060117927/27891601562500,20122730162024161/27891601562500', 'label': '2.0.4.1-67600.6-a4', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': -11, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 4, 'ord_disc': 15, 'ord_den_j': 3}, {'p': '(-w-2)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(2*w+1)', 'cp': 2, 'kod': 16, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 12, 'ord_den_j': 12}, {'p': '(2*w+3)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 10, 'ord_den_j': 4}], 'minD': '(2322416489600*w+4709360892800)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 27571698369800000000000000, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.10029150424693393683257575123452340354', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '1.0594221563973689190043365603098168966', 'prec': 130}, 'root_analytic_conductor': 2.881742842484937, 'semistable': False, 'sha': 1, 'short_class_label': '67600.6-a', 'short_label': '67600.6-a4', 'signature': [0, 1], 'tamagawa_product': 64, 'torsion_gens': ['[[-59,21/2],[139/4,97/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1433975611736223324}