Elliptic curve data - 2.2.57.1-228.1-h4

Formats: - HTML - YAML - JSON - 2025-07-09T05:36:28.361798

• 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': '3.9399751820749132960245004898835962503', 'prec': 130}, 'abs_disc': 57, 'ainvs': '1,0;1,1;1,1;-33260,-10156;-3317057,-1012867', 'analytic_rank': 0, 'bad_primes': ['(w-4)', '(w+3)', '(4*w+13)', '(10*w-43)'], 'base_change': [], 'class_deg': 12, 'class_label': '2.2.57.1-228.1-h', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-4*w+2)', 'conductor_label': '228.1', 'conductor_norm': 228, 'conductor_norm_factors': [2, 3, 19], 'degree': 2, 'disc': '(190*w+988)', 'equation': '{y}^2+{x}{y}+\\left(a+1\\right){y}={x}^{3}+\\left(a+1\\right){x}^{2}+\\left(-10156a-33260\\right){x}-1012867a-3317057', 'field_label': '2.2.57.1', 'galois_images': ['2B', '3B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'h', 'iso_nlabel': 7, 'isodeg': [1, 2, 3, 4, 6, 12], 'isogeny_matrix': [[1, 3, 6, 4, 12, 12, 2, 4], [3, 1, 2, 12, 4, 4, 6, 12], [6, 2, 1, 6, 2, 2, 3, 6], [4, 12, 6, 1, 12, 3, 2, 4], [12, 4, 2, 12, 1, 4, 6, 3], [12, 4, 2, 3, 4, 1, 6, 12], [2, 6, 3, 2, 6, 6, 1, 2], [4, 12, 6, 4, 3, 12, 2, 1]], 'jinv': '108914414920560011125/17328,-25477549476528524375/17328', 'label': '2.2.57.1-228.1-h4', 'local_data': [{'p': '(w-4)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(w+3)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(4*w+13)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 3, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(10*w-43)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 19, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(190*w+988)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 658464, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '1.1017096408793082310974798990273830438', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.621559343081027, 'semistable': True, 'sha': 9, 'short_class_label': '228.1-h', 'short_label': '228.1-h4', 'signature': [2, 0], 'tamagawa_product': 12, 'torsion_gens': ['[[273/2,167/4],[-275/4,-171/8],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1714777017372120298}