Elliptic curve data - 2.2.21.1-1764.1-b2

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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': '4.6371055145167530674461497236135310127', 'prec': 127}, 'abs_disc': 21, 'ainvs': '0,1;1,-1;1,0;21,-8;-2630,942', 'analytic_rank': 0, 'bad_primes': ['(-w+2)', '(w+3)', '(2)'], 'base_change': ['882.e2', '882.j2'], 'class_deg': 3, 'class_label': '2.2.21.1-1764.1-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(42)', 'conductor_label': '1764.1', 'conductor_norm': 1764, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(-677376)', 'equation': '{y}^2+a{x}{y}+{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(-8a+21\\right){x}+942a-2630', 'field_label': '2.2.21.1', 'galois_images': ['3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '189/512,0', 'label': '2.2.21.1-1764.1-b2', 'local_data': [{'p': '(-w+2)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(w+3)', 'cp': 3, 'kod': 4, 'red': 0, 'normp': 7, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(2)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}], 'minD': '(677376)', 'n_bad_primes': 3, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 458838245376, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.7708239188141806440186526334363900664', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [3], 'reg': 1, 'root_analytic_conductor': 2.653828453061149, 'semistable': False, 'sha': 1, 'short_class_label': '1764.1-b', 'short_label': '1764.1-b2', 'signature': [2, 0], 'tamagawa_product': 108, 'torsion_gens': ['[[15,-5],[-56,19],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1013403020907376173}