Elliptic curve data - 2.0.4.1-57600.1-d2

Formats: - HTML - YAML - JSON - 2024-06-09T03:31:30.598883

• 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': '3.4545098112962260102548303044585796006', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,0;1,-1;0,0;2,2;2,3', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(3)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.4.1-57600.1-d', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(192*w+144)', 'conductor_label': '57600.1', 'conductor_norm': 57600, 'conductor_norm_factors': [2, 3, 5], 'degree': 2, 'disc': '(-2112*w+5616)', 'equation': '{y}^2={x}^{3}+\\left(-i+1\\right){x}^{2}+\\left(2i+2\\right){x}+3i+2', 'field_label': '2.0.4.1', 'galois_images': ['2B'], 'gens': ['[[-1,2],[-1,-1],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.0624183508337653606640885421749170959', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4, 8], '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': '2048/3,0', 'label': '2.0.4.1-57600.1-d2', 'local_data': [{'p': '(w+1)', 'cp': 1, 'kod': 2, 'red': 0, 'normp': 2, 'rootno': 1, 'ord_cond': 8, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(3)', 'cp': 1, 'kod': 5, 'red': -1, 'normp': 9, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}], 'minD': '(2112*w-5616)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 36000000, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '3.2515532215583376979169871021565279842', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.0624183508337653606640885421749170959', 'prec': 130}, 'root_analytic_conductor': 2.7686889666488215, 'semistable': False, 'sha': 1, 'short_class_label': '57600.1-d', 'short_label': '57600.1-d2', 'signature': [0, 1], 'tamagawa_product': 2, 'torsion_gens': ['[[-1,0],[0,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 136704204468804434}