Elliptic curve data - 4.4.17417.1-10.2-d1

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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': '3.43085375692369', 'prec': 54}, 'abs_disc': 17417, 'ainvs': '-3,-2,1,0;0,-3,-2,1;2,-3,-2,1;15,31,-19,-23;-269,-302,248,221', 'analytic_rank': 0, 'bad_primes': ['(-w^2+2)', '(w^2+w-1)'], 'base_change': [], 'class_deg': 4, 'class_label': '4.4.17417.1-10.2-d', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^2-w-2)', 'conductor_label': '10.2', 'conductor_norm': 10, 'conductor_norm_factors': [2, 5], 'degree': 4, 'disc': '(w^3-3*w^2-2*w+8)', 'equation': '{y}^2+\\left(a^{2}-2a-3\\right){x}{y}+\\left(a^{3}-2a^{2}-3a+2\\right){y}={x}^{3}+\\left(a^{3}-2a^{2}-3a\\right){x}^{2}+\\left(-23a^{3}-19a^{2}+31a+15\\right){x}+221a^{3}+248a^{2}-302a-269', 'field_label': '4.4.17417.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'jinv': '32241492530587/80,-3558476086237/16,-1713890395399/8,6191488811349/80', 'label': '4.4.17417.1-10.2-d1', 'local_data': [{'p': '(-w^2+2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w^2+w-1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(w^3-3*w^2-2*w+8)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': -80, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '452.78171716825993232259482715818489647', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 15.726251957856386, 'semistable': True, 'sha': 1, 'short_class_label': '10.2-d', 'short_label': '10.2-d1', 'signature': [4, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[11/4,3/4,-3/2,-3/4],[1/8,13/8,3/4,-1/8],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2290674456670862136}