Elliptic curve data - 2.0.11.1-9900.5-k1

Formats: - HTML - YAML - JSON - 2026-01-24T04:38:23.367162

• 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': '5.1559547045052425364452369665353752102', 'prec': 130}, 'abs_disc': 11, 'ainvs': '0,1;1,-1;0,1;-51,-22;-267,407', 'analytic_rank': 1, 'bad_primes': ['(-w)', '(w-1)', '(-w-1)', '(w-2)', '(-2*w+1)', '(2)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.11.1-9900.5-k', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-60*w+30)', 'conductor_label': '9900.5', 'conductor_norm': 9900, 'conductor_norm_factors': [2, 3, 5, 11], 'degree': 2, 'disc': '(32060160*w+164482560)', 'equation': '{y}^2+a{x}{y}+a{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(-22a-51\\right){x}+407a-267', 'field_label': '2.0.11.1', 'galois_images': ['2B'], 'gens': ['[[-12,4],[39,20],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.45952147546897510791938400910198663249', 'prec': 133}], 'iso_label': 'k', 'iso_nlabel': 10, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '20214965063/8468064000,3235796719033/25404192000', 'label': '2.0.11.1-9900.5-k1', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w-1)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(-w-1)', 'cp': 1, 'kod': 7, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-2*w+1)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 4, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(32060160*w+164482560)', 'n_bad_primes': 6, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 35411411312640000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.58145973936322387014693091162736110448', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.45952147546897510791938400910198663249', 'prec': 133}, 'root_analytic_conductor': 2.9562672670953782, 'semistable': True, 'sha': 1, 'short_class_label': '9900.5-k', 'short_label': '9900.5-k1', 'signature': [0, 1], 'tamagawa_product': 64, 'torsion_gens': ['[[-1,4],[6,-2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 618303465012162209}