Elliptic curve data - 2.2.5.1-2025.1-e1

Formats: - HTML - YAML - JSON - 2025-12-16T17:22:58.147466

• 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': '1.5750144167668759850956748248675809053', 'prec': 130}, 'abs_disc': 5, 'ainvs': '0,1;-1,-1;0,0;6,-6;10,-7', 'analytic_rank': 0, 'bad_primes': ['(-2*w+1)', '(3)'], 'base_change': [], 'class_deg': 30, 'class_label': '2.2.5.1-2025.1-e', 'class_size': 8, 'cm': -15, 'cm_type': -1, 'conductor_ideal': '(45)', 'conductor_label': '2025.1', 'conductor_norm': 2025, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(-3375)', 'equation': '{y}^2+\\phi{x}{y}={x}^{3}+\\left(-\\phi-1\\right){x}^{2}+\\left(-6\\phi+6\\right){x}-7\\phi+10', 'field_label': '2.2.5.1', 'galois_images': [], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 5, 6, 10, 15, 30], 'isogeny_matrix': [[1, 15, 5, 3, 10, 6, 2, 30], [15, 1, 3, 5, 6, 10, 30, 2], [5, 3, 1, 15, 2, 30, 10, 6], [3, 5, 15, 1, 30, 2, 6, 10], [10, 6, 2, 30, 1, 15, 5, 3], [6, 10, 30, 2, 15, 1, 3, 5], [2, 30, 10, 6, 5, 3, 1, 15], [30, 2, 6, 10, 3, 5, 15, 1]], 'jinv': '-52515,-85995', 'label': '2.2.5.1-2025.1-e1', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}, {'p': '(3)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}], 'minD': '(3375)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'normdisc': 11390625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '3.5218393014329192417987564357653027406', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3, 5], 'reg': 1, 'root_analytic_conductor': 1.3403857823323886, 'semistable': False, 'sha': 1, 'short_class_label': '2025.1-e', 'short_label': '2025.1-e1', 'signature': [2, 0], 'tamagawa_product': 4, 'torsion_gens': ['[[0,2],[-1,-1],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 269276172886446067}