Elliptic curve data - 2.0.4.1-22050.2-b1

Formats: - HTML - YAML - JSON - 2024-05-15T12:01:11.655426

• 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': '3.0267728940505645630281636143792505144', 'prec': 130}, 'abs_disc': 4, 'ainvs': '0,1;0,0;0,1;-20352,0;1443724,0', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(3)', '(7)'], 'base_change': ['210.b3', '1680.g3'], 'class_deg': 12, 'class_label': '2.0.4.1-22050.2-b', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(105*w+105)', 'conductor_label': '22050.2', 'conductor_norm': 22050, 'conductor_norm_factors': [2, 3, 5, 7], 'degree': 2, 'disc': '(-358766164249920)', 'equation': '{y}^2+i{x}{y}+i{y}={x}^{3}-20352{x}+1443724', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B.1.2'], 'gens': ['[[421/2,0],[10179/4,-423/4],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '5.0891985548147912517953548275213578675', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, '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': '-932348627918877961/358766164249920,0', 'label': '2.0.4.1-22050.2-b1', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 16, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 12, 'ord_den_j': 12}, {'p': '(-w-2)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(3)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 9, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(7)', 'cp': 12, 'kod': 16, 'red': 1, 'normp': 49, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 12, 'ord_den_j': 12}], 'minD': '(358766164249920)', 'n_bad_primes': 5, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 128713160610600575476220006400, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.049562042389873514655034781884071913200', 'prec': 137}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '5.0891985548147912517953548275213578675', 'prec': 130}, 'root_analytic_conductor': 2.177813560196655, 'semistable': True, 'sha': 1, 'short_class_label': '22050.2-b', 'short_label': '22050.2-b1', 'signature': [0, 1], 'tamagawa_product': 96, 'torsion_gens': ['[[-427,0],[0,-8019],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1855657023588582071}