Elliptic curve data - 2.0.4.1-57800.6-d9

Formats: - HTML - YAML - JSON - 2024-06-16T05:43:56.954317

• 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': '2.9074093695012477035048967126463587060', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;0,1;0,0;6558,-12746;-652464,51156', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(w-4)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.4.1-57800.6-d', 'class_size': 10, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(70*w+230)', 'conductor_label': '57800.6', 'conductor_norm': 57800, 'conductor_norm_factors': [2, 5, 17], 'degree': 2, 'disc': '(10879840*w+6009120)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+i{x}^{2}+\\left(-12746i+6558\\right){x}+51156i-652464', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4, 8, 16], 'isogeny_matrix': [[1, 4, 2, 8, 2, 4, 8, 8, 8, 2], [4, 1, 2, 2, 8, 4, 8, 8, 2, 8], [2, 2, 1, 4, 4, 2, 4, 4, 4, 4], [8, 2, 4, 1, 16, 8, 16, 16, 4, 16], [2, 8, 4, 16, 1, 8, 16, 16, 16, 4], [4, 4, 2, 8, 8, 1, 2, 2, 8, 8], [8, 8, 4, 16, 16, 2, 1, 4, 16, 16], [8, 8, 4, 16, 16, 2, 4, 1, 16, 16], [8, 2, 4, 4, 16, 8, 16, 16, 1, 16], [2, 8, 4, 16, 4, 8, 16, 16, 16, 1]], 'jinv': '5763174879987/625,-15332659200009/625', 'label': '2.0.4.1-57800.6-d9', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': -2, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 3, 'ord_disc': 11, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w-4)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 17, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(6009120*w-10879840)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 154480441600000, 'number': 9, 'omega': {'__RealLiteral__': 0, 'data': '0.18171308559382798146905604454039741913', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 2.771089219415686, 'semistable': False, 'sha': 4, 'short_class_label': '57800.6-d', 'short_label': '57800.6-d9', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[36,117/2],[45/4,-189/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 702268735063533552}