Elliptic curve data - 2.2.57.1-225.1-b4

Formats: - HTML - YAML - JSON - 2025-01-28T12:09:24.440781

• 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': '2.7544425258751457899834582203215905609', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;0,1;0,0;-5136,1203;-82011,19185', 'analytic_rank': 1, 'bad_primes': ['(4*w+13)', '(5)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.2.57.1-225.1-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(15)', 'conductor_label': '225.1', 'conductor_norm': 225, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(1366875)', 'equation': '{y}^2+{x}{y}={x}^{3}+a{x}^{2}+\\left(1203a-5136\\right){x}+19185a-82011', 'field_label': '2.2.57.1', 'galois_images': ['2Cs'], 'gens': ['[[987/4,-58],[-41145/8,4813/4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '4.0277074581286009456359540907554223438', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 16, 8, 4, 8, 2, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [8, 8, 1, 2, 4, 4, 8, 8], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [2, 8, 4, 2, 4, 1, 8, 2], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 8, 4, 8, 2, 16, 1]], 'jinv': '111284641/50625,0', 'label': '2.2.57.1-225.1-b4', 'local_data': [{'p': '(4*w+13)', 'cp': 4, 'kod': -12, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 14, 'ord_den_j': 8}, {'p': '(5)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 25, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(1366875)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1868347265625, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '5.1631319424297510699594780670656647538', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '4.0277074581286009456359540907554223438', 'prec': 130}, 'root_analytic_conductor': 2.6128929126199325, 'semistable': False, 'sha': 1, 'short_class_label': '225.1-b', 'short_label': '225.1-b4', 'signature': [2, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[58,-14],[-29,7],[1,0]]', '[[-10,2],[5,-1],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 798308879721192078}