Elliptic curve data - 2.0.7.1-5324.7-c3

Formats: - HTML - YAML - JSON - 2024-04-25T16:12:32.517398

• 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': '3.4276844601643616795688378653162207061', 'prec': 130}, 'abs_disc': 7, 'ainvs': '1,0;0,0;1,1;109,537;7744,192', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)', '(-2*w+3)', '(2*w+1)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.7.1-5324.7-c', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(44*w+22)', 'conductor_label': '5324.7', 'conductor_norm': 5324, 'conductor_norm_factors': [2, 11], 'degree': 2, 'disc': '(1630421760*w+6113144576)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(537a+109\\right){x}+192a+7744', 'field_label': '2.0.7.1', 'galois_images': ['2Cs'], 'gens': ['[[-70,38],[-389,-201],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.49123869702337269793628377890273286478', 'prec': 133}], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 8, 4, 2, 8, 4], [8, 1, 2, 4, 4, 8], [4, 2, 1, 2, 2, 4], [2, 4, 2, 1, 4, 2], [8, 4, 2, 4, 1, 8], [4, 8, 4, 2, 8, 1]], 'jinv': '4028870229625/479756288,-1133731711875/959512576', 'label': '2.0.7.1-5324.7-c3', 'local_data': [{'p': '(w)', 'cp': 2, 'kod': 12, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}, {'p': '(-w+1)', 'cp': 16, 'kod': 20, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}, {'p': '(-2*w+3)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2*w+1)', 'cp': 4, 'kod': -6, 'red': 0, 'normp': 11, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 8, 'ord_den_j': 2}], 'minD': '(-1630421760*w-6113144576)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 52654090776777588736, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.28845449489942977783298464810349974858', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.49123869702337269793628377890273286478', 'prec': 133}, 'root_analytic_conductor': 2.0195150091296186, 'semistable': False, 'sha': 1, 'short_class_label': '5324.7-c', 'short_label': '5324.7-c3', 'signature': [0, 1], 'tamagawa_product': 256, 'torsion_gens': ['[[-71/4,53/4],[67/8,-57/8],[1,0]]', '[[-19/2,31/4],[17/4,-35/8],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 1686367337376013592}