Elliptic curve data - 2.2.12.1-726.1-i4

Formats: - HTML - YAML - JSON - 2025-09-22T21:37:21.200624

• 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': '3.2792245183158949703796902962797244836', 'prec': 130}, 'abs_disc': 12, 'ainvs': '0,1;1,-1;0,0;-976305,563640;-526213149,303809220', 'analytic_rank': 0, 'bad_primes': ['(w+1)', '(w)', '(-2*w+1)', '(2*w+1)'], 'base_change': ['66.c1', '1584.s1'], 'class_deg': 10, 'class_label': '2.2.12.1-726.1-i', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(11*w+33)', 'conductor_label': '726.1', 'conductor_norm': 726, 'conductor_norm_factors': [2, 3, 11], 'degree': 2, 'disc': '(1932612)', 'equation': '{y}^2+a{x}{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(563640a-976305\\right){x}+303809220a-526213149', 'field_label': '2.2.12.1', 'galois_images': ['2B', '5B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'i', 'iso_nlabel': 8, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '112763292123580561/1932612,0', 'label': '2.2.12.1-726.1-i4', 'local_data': [{'p': '(w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}, {'p': '(-2*w+1)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}, {'p': '(2*w+1)', 'cp': 5, 'kod': 9, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(1932612)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': 3734989142544, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '0.22719133900594834132887095595461418562', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 5], 'reg': 1, 'root_analytic_conductor': 1.6068055816895712, 'semistable': True, 'sha': 1, 'short_class_label': '726.1-i', 'short_label': '726.1-i4', 'signature': [2, 0], 'tamagawa_product': 200, 'torsion_gens': ['[[-406,232],[-348,203],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 2172647575380616183}