Elliptic curve data - 2.0.55.1-396.2-e2

Formats: - HTML - YAML - JSON - 2026-05-22T20:52:58.027732

• 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': '6.0496855419239928268731412982546774739', 'prec': 130}, 'abs_disc': 55, 'ainvs': '1,0;1,0;1,0;112,0;2531,0', 'analytic_rank': 0, 'bad_primes': ['(2,w)', '(2,w+1)', '(11,w+5)', '(3)'], 'base_change': ['1650.m4', '726.i4'], 'class_deg': 6, 'class_label': '2.0.55.1-396.2-e', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(66,6*w+30)', 'conductor_label': '396.2', 'conductor_norm': 396, 'conductor_norm_factors': [2, 3, 11], 'degree': 2, 'disc': '(2756531250)', 'equation': '{y}^2+{x}{y}+{y}={x}^3+{x}^2+112{x}+2531', 'field_label': '2.0.55.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'e', 'iso_nlabel': 4, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'jinv': '9938375/176418,0', 'label': '2.0.55.1-396.2-e2', 'local_data': [{'p': '(2,w)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2,w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(5,w+2)', 'cp': 1, 'kod': 1, 'red': None, 'normp': 5, 'rootno': 1, 'ord_cond': 0, 'ord_disc': 0, 'ord_den_j': 0}, {'p': '(11,w+5)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(3)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(176418)', 'n_bad_primes': 4, 'ngens': 0, 'non_min_p': ['(5,w+2)'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 7598464532226562500, 'number': 2, 'omega': {'__RealLiteral__': 0, 'data': '1.8694028651425508928905250414573706892', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 2.9562672670953782, 'semistable': True, 'sha': 4, 'short_class_label': '396.2-e', 'short_label': '396.2-e2', 'signature': [0, 1], 'tamagawa_product': 12, 'torsion_gens': ['[[-45/4,0],[41/8,0],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1197476923465484079}