Elliptic curve data - 2.0.19.1-4275.2-a2

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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': '5.6320637339412784352491976027386034699', 'prec': 130}, 'abs_disc': 19, 'ainvs': '1,0;0,0;0,0;-76,0;-19,0', 'analytic_rank': 3, 'bad_primes': ['(-w)', '(w-1)', '(-2*w+1)', '(3)'], 'base_change': ['285.a1', '5415.h1'], 'class_deg': 2, 'class_label': '2.0.19.1-4275.2-a', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-30*w+15)', 'conductor_label': '4275.2', 'conductor_norm': 4275, 'conductor_norm_factors': [3, 5, 19], 'degree': 2, 'disc': '(28048275)', 'equation': '{y}^2+{x}{y}={x}^3-76{x}-19', 'field_label': '2.0.19.1', 'galois_images': ['2B'], 'gens': ['[[11,0],[-28,0],[1,0]]', '[[-235/49,-81/49],[8153/343,243/343],[1,0]]', '[[176/25,-81/25],[-926/125,2106/125],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.13482717795889418687569402828090256769', 'prec': 133}, {'__RealLiteral__': 0, 'data': '0.66246399582303131411062859619368074044', 'prec': 133}, {'__RealLiteral__': 0, 'data': '1.2435147688996257488919925005622275554', 'prec': 130}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '48587168449/28048275,0', 'label': '2.0.19.1-4275.2-a2', 'local_data': [{'p': '(-w)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w-1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3)', 'cp': 10, 'kod': 14, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 10, 'ord_den_j': 10}], 'minD': '(28048275)', 'n_bad_primes': 4, 'ngens': 3, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 786705730475625, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '0.78876624024016080267456130892849167706', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 3, 'rank_bounds': [3, 3], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.097262643414620866700260978003388386585', 'prec': 137}, 'root_analytic_conductor': 3.14955635619335, 'semistable': True, 'sha': 1, 'short_class_label': '4275.2-a', 'short_label': '4275.2-a2', 'signature': [0, 1], 'tamagawa_product': 80, 'torsion_gens': ['[[-1/4,0],[1/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1984529985685191812}