Elliptic curve data - 6.6.300125.1-71.1-c2

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• 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': '1.29032', 'prec': 24}, 'abs_disc': 300125, 'ainvs': '-3,-8,5,8,0,-1;2,3,-5,-7,0,1;-3,-8,5,8,0,-1;-7,-24,13,36,2,-5;-8,-27,18,43,2,-6', 'analytic_rank': 0, 'bad_primes': ['(4*w^5-w^4-29*w^3-13*w^2+18*w+3)'], 'base_change': [], 'class_deg': 6, 'class_label': '6.6.300125.1-71.1-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(4*w^5-w^4-29*w^3-13*w^2+18*w+3)', 'conductor_label': '71.1', 'conductor_norm': 71, 'conductor_norm_factors': [71], 'degree': 6, 'disc': '(-4*w^5+w^4+29*w^3+13*w^2-18*w-3)', 'equation': '{y}^2+\\left(-a^{5}+8a^{3}+5a^{2}-8a-3\\right){x}{y}+\\left(-a^{5}+8a^{3}+5a^{2}-8a-3\\right){y}={x}^{3}+\\left(a^{5}-7a^{3}-5a^{2}+3a+2\\right){x}^{2}+\\left(-5a^{5}+2a^{4}+36a^{3}+13a^{2}-24a-7\\right){x}-6a^{5}+2a^{4}+43a^{3}+18a^{2}-27a-8', 'field_label': '6.6.300125.1', 'galois_images': ['2B', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'jinv': '1435940762/71,-2346682133/71,-1511726364/71,2622161216/71,502982191/71,-394331071/71', 'label': '6.6.300125.1-71.1-c2', 'local_data': [{'p': '(4*w^5-w^4-29*w^3-13*w^2+18*w+3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 71, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(4*w^5-w^4-29*w^3-13*w^2+18*w+3)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': -71, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '25447.918989528505445240081680727836776', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 69.8330754982202, 'semistable': True, 'sha': 1, 'short_class_label': '71.1-c', 'short_label': '71.1-c2', 'signature': [6, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-9,-30,23,50,2,-7],[-27,-90,74,151,5,-21],[1,0,0,0,0,0]]'], 'torsion_order': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6], 'trace_hash': 1860248641834019470}