Elliptic curve data - 2.0.11.1-10692.3-a1

Formats: - HTML - YAML - JSON - 2025-09-28T02:27:55.201890

• 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': '3.0722977121574380913980732758222068790', 'prec': 130}, 'abs_disc': 11, 'ainvs': '1,1;-1,0;1,1;-2645,-2463;13579,91888', 'analytic_rank': 1, 'bad_primes': ['(-w)', '(w-1)', '(-2*w+1)', '(2)'], 'base_change': [], 'class_deg': 9, 'class_label': '2.0.11.1-10692.3-a', 'class_size': 3, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(18*w-108)', 'conductor_label': '10692.3', 'conductor_norm': 10692, 'conductor_norm_factors': [2, 3, 11], 'degree': 2, 'disc': '(-284621040*w+455393664)', 'equation': '{y}^2+\\left(a+1\\right){x}{y}+\\left(a+1\\right){y}={x}^{3}-{x}^{2}+\\left(-2463a-2645\\right){x}+91888a+13579', 'field_label': '2.0.11.1', 'galois_images': ['3B.1.1'], 'gens': ['[[35,10],[-1,-27],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.75846323334204243541919301025071196242', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 3, 9], 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'jinv': '-78923474734103/2576816,-44349865310515/7730448', 'label': '2.0.11.1-10692.3-a1', 'local_data': [{'p': '(-w)', 'cp': 1, 'kod': 4, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 3, 'ord_disc': 5, 'ord_den_j': 0}, {'p': '(w-1)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 3, 'rootno': -1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(-2*w+1)', 'cp': 9, 'kod': 13, 'red': 1, 'normp': 11, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 9, 'ord_den_j': 9}, {'p': '(2)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 4, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}], 'minD': '(-284621040*w+455393664)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': 320796180186299136, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.20991580218468732861141259524010769638', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.75846323334204243541919301025071196242', 'prec': 133}, 'root_analytic_conductor': 3.0136973318330003, 'semistable': False, 'sha': 1, 'short_class_label': '10692.3-a', 'short_label': '10692.3-a1', 'signature': [0, 1], 'tamagawa_product': 144, 'torsion_gens': ['[[35,11],[4,-40],[1,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 1060721124342294151}