Elliptic curve data - 2.0.8.1-25992.5-a1

Formats: - HTML - YAML - JSON - 2023-09-25T13:59:57.760250

• 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': '4.9862373826064918776892320977921759653', 'prec': 130}, 'abs_disc': 8, 'ainvs': '0,0;-1,0;0,1;14,0;-18,0', 'analytic_rank': 2, 'bad_primes': ['(w)', '(-w-1)', '(w-1)', '(-3*w+1)', '(3*w+1)'], 'base_change': ['456.a1', '3648.g1'], 'class_deg': 1, 'class_label': '2.0.8.1-25992.5-a', 'class_size': 1, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(114*w)', 'conductor_label': '25992.5', 'conductor_norm': 25992, 'conductor_norm_factors': [2, 3, 19], 'degree': 2, 'disc': '(-246924)', 'equation': '{y}^2+a{y}={x}^{3}-{x}^{2}+14{x}-18', 'field_label': '2.0.8.1', 'galois_images': [], 'gens': ['[[2,1],[-4,-3],[1,0]]', '[[2,-1],[4,-3],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.16996346027613047159426612683507532303', 'prec': 133}, {'__RealLiteral__': 0, 'data': '0.16996346027613047159426612683507532303', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1], 'isogeny_matrix': [[1]], 'jinv': '70575104/61731,0', 'label': '2.0.8.1-25992.5-a1', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 4, 'ord_den_j': 0}, {'p': '(-w-1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(w-1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-3*w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}, {'p': '(3*w+1)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(246924)', 'n_bad_primes': 5, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 60971461776, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1.7428779183727856967359204335307302446', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [], 'reg': {'__RealLiteral__': 0, 'data': '0.014048452676553539710096100400174352049', 'prec': 137}, 'root_analytic_conductor': 3.2091755266343434, 'semistable': False, 'sha': 1, 'short_class_label': '25992.5-a', 'short_label': '25992.5-a1', 'signature': [0, 1], 'tamagawa_product': 72, 'torsion_gens': [], 'torsion_order': 1, 'torsion_primes': [], 'torsion_structure': [], 'trace_hash': 1556107786822265831}