Elliptic curve data - 2.0.3.1-61731.3-g1

Formats: - HTML - YAML - JSON - 2025-06-13T16:38:26.833456

• 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': '4.5552497921158811988318787349431652850', 'prec': 130}, 'abs_disc': 3, 'ainvs': '1,0;1,-1;1,0;-817,238;-8972,3795', 'analytic_rank': 1, 'bad_primes': ['(-2*w+1)', '(-5*w+3)', '(-5*w+2)'], 'base_change': [], 'class_deg': 2, 'class_label': '2.0.3.1-61731.3-g', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-285*w+114)', 'conductor_label': '61731.3', 'conductor_norm': 61731, 'conductor_norm_factors': [3, 19], 'degree': 2, 'disc': '(-559859016*w-668937693)', 'equation': '{y}^2+{x}{y}+{y}={x}^{3}+\\left(-a+1\\right){x}^{2}+\\left(238a-817\\right){x}+3795a-8972', 'field_label': '2.0.3.1', 'galois_images': ['2B'], 'gens': ['[[-77/4,-1/4],[-215/8,34],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.7690401079907991677525174992602532079', 'prec': 130}], 'iso_label': 'g', 'iso_nlabel': 6, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '-4133064549/130321,5845799184/130321', 'label': '2.0.3.1-61731.3-g1', 'local_data': [{'p': '(-2*w+1)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 3, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}, {'p': '(-5*w+3)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-5*w+2)', 'cp': 2, 'kod': -3, 'red': 0, 'normp': 19, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 9, 'ord_den_j': 0}], 'minD': '(1228796709*w-559859016)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 1135430553480940593, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.35616692849373169400489067692545008420', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '2.7690401079907991677525174992602532079', 'prec': 130}, 'root_analytic_conductor': 2.439635863095712, 'semistable': False, 'sha': 1, 'short_class_label': '61731.3-g', 'short_label': '61731.3-g1', 'signature': [0, 1], 'tamagawa_product': 8, 'torsion_gens': ['[[-61/4,1],[57/8,-1/2],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 198903143753773003}