Elliptic curve data - 6.6.300125.1-71.4-a2

Formats: - HTML - YAML - JSON - 2024-05-23T19:08:28.391404

• 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': '1.23075', 'prec': 24}, 'abs_disc': 300125, 'ainvs': '0,1,0,0,0,0;3,-7,-2,7,1,-1;-10,-29,23,44,1,-6;75,251,-222,-437,-13,61;7391,24368,-20142,-40900,-1304,5699', 'analytic_rank': 0, 'bad_primes': ['(6*w^5-2*w^4-43*w^3-17*w^2+29*w+5)'], 'base_change': [], 'class_deg': 2, 'class_label': '6.6.300125.1-71.4-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(6*w^5-2*w^4-43*w^3-17*w^2+29*w+5)', 'conductor_label': '71.4', 'conductor_norm': 71, 'conductor_norm_factors': [71], 'degree': 6, 'disc': '(-777*w^5-145*w^4+5654*w^3+4720*w^2-1907*w-1905)', 'equation': '{y}^2+a{x}{y}+\\left(-6a^{5}+a^{4}+44a^{3}+23a^{2}-29a-10\\right){y}={x}^{3}+\\left(-a^{5}+a^{4}+7a^{3}-2a^{2}-7a+3\\right){x}^{2}+\\left(61a^{5}-13a^{4}-437a^{3}-222a^{2}+251a+75\\right){x}+5699a^{5}-1304a^{4}-40900a^{3}-20142a^{2}+24368a+7391', 'field_label': '6.6.300125.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '30222798799898190818601583/3255243551009881201,102032514074835709609288768/3255243551009881201,-69717312288925414565855022/3255243551009881201,-156246015653998240659421204/3255243551009881201,-5391052931075206605671520/3255243551009881201,21967998164354285461425122/3255243551009881201', 'label': '6.6.300125.1-71.4-a2', 'local_data': [{'p': '(6*w^5-2*w^4-43*w^3-17*w^2+29*w+5)', 'cp': 2, 'kod': 14, 'red': -1, 'normp': 71, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(-3527*w^5+1271*w^4+24953*w^3+9192*w^2-15418*w-3515)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -3255243551009881201, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1348.5051518367487080175587843280379234', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 69.8330754982202, 'semistable': True, 'sha': 1, 'short_class_label': '71.4-a', 'short_label': '71.4-a2', 'signature': [6, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-41,-135,439/4,223,7,-31],[41/2,66,-105/2,-863/8,-7/2,15],[1,0,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 144424102779954408}