Elliptic curve data - 2.0.111.1-441.3-c1

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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': '6.2831514293322213865008540390746202363', 'prec': 130}, 'abs_disc': 111, 'ainvs': '1,1;-1,-1;0,0;38,2;115,5', 'analytic_rank': 1, 'bad_primes': ['(3,w+1)', '(7,w+6)'], 'base_change': [], 'class_deg': 4, 'class_label': '2.0.111.1-441.3-c', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(147,3*w+81)', 'conductor_label': '441.3', 'conductor_norm': 441, 'conductor_norm_factors': [3, 7], 'degree': 2, 'disc': '(-1633689*a-12675123)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}={x}^3+\\left(-a-1\\right){x}^2+\\left(2a+38\\right){x}+5a+115', 'field_label': '2.0.111.1', 'galois_images': ['2B', '3Cn'], 'gens': ['[[-111/16,-61/16],[-10493/64,457/64],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.3450681515274175353224497983752712305', 'prec': 130}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2, 2, 2], [2, 1, 4, 4], [2, 4, 1, 4], [2, 4, 4, 1]], 'jinv': '1331/27,0', 'label': '2.0.111.1-441.3-c1', 'local_data': [{'p': '(2,w+1)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 2, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(3,w+1)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}, {'p': '(7,w+6)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 7, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(85766121,729*w+43099209)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': ['(2,w+1)'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 256096265048064, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.5285279392130770716369604233494232909', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.3450681515274175353224497983752712305', 'prec': 130}, 'root_analytic_conductor': 4.314293535581517, 'semistable': False, 'sha': 4, 'short_class_label': '441.3-c', 'short_label': '441.3-c1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-2,0],[1,1],[1,0]]', '[[15/4,5/4],[125/8,-25/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1541412119519252148}