Elliptic curve data - 2.0.3.1-86016.2-i2

Formats: - HTML - YAML - JSON - 2025-09-24T08:39:52.189833

• 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': '3.1925162460983032190954784731855644885', 'prec': 130}, 'abs_disc': 3, 'ainvs': '0,0;0,1;0,0;-11,-57;-55,212', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(3*w-2)', '(2)'], 'base_change': [], 'class_deg': 8, 'class_label': '2.0.3.1-86016.2-i', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(64*w+256)', 'conductor_label': '86016.2', 'conductor_norm': 86016, 'conductor_norm_factors': [2, 3, 7], 'degree': 2, 'disc': '(-786432*w+2703360)', 'equation': '{y}^2={x}^{3}+a{x}^{2}+\\left(-57a-11\\right){x}+212a-55', 'field_label': '2.0.3.1', 'galois_images': ['2Cs'], 'gens': ['[[-1,-2],[-7,-14],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.2997352774342425357640093303804793485', 'prec': 130}], 'iso_label': 'i', 'iso_nlabel': 8, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 4, 8, 2, 8], [4, 1, 4, 2, 2, 2], [4, 4, 1, 8, 2, 8], [8, 2, 8, 1, 4, 4], [2, 2, 2, 4, 1, 4], [8, 2, 8, 4, 4, 1]], 'jinv': '-30152432/2401,14733184/7203', 'label': '2.0.3.1-86016.2-i2', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 6, 'red': -1, 'normp': 3, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(3*w-2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 7, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2)', 'cp': 4, 'kod': -8, 'red': 0, 'normp': 4, 'rootno': 1, 'ord_cond': 6, 'ord_disc': 14, 'ord_den_j': 0}], 'minD': '(1916928*w+786432)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 5800621768704, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.0636012652413147996265084828155163165', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.2997352774342425357640093303804793485', 'prec': 130}, 'root_analytic_conductor': 2.65059876659507, 'semistable': False, 'sha': 1, 'short_class_label': '86016.2-i', 'short_label': '86016.2-i2', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[-6,-5],[0,0],[1,0]]', '[[2,3],[0,0],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 25431599744762506}