Elliptic curve data - 2.0.4.1-50625.3-d3

Formats: - HTML - YAML - JSON - 2025-11-06T00:55:08.275780

• 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': '3.1541500454645848616812139265948477365', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;0,1;0,1;-94,37;-81,-422', 'analytic_rank': 1, 'bad_primes': ['(-w-2)', '(2*w+1)', '(3)'], 'base_change': [], 'class_deg': 6, 'class_label': '2.0.4.1-50625.3-d', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(225)', 'conductor_label': '50625.3', 'conductor_norm': 50625, 'conductor_norm_factors': [3, 5], 'degree': 2, 'disc': '(-80156250*w+86484375)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\\left(37i-94\\right){x}-422i-81', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': ['[[-5,-8],[-39,6],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.63254489656964001912810370507968864848', 'prec': 133}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 6, 3, 2], [6, 1, 2, 3], [3, 2, 1, 6], [2, 3, 6, 1]], 'jinv': '13929408/15625,-5792256/15625', 'label': '2.0.4.1-50625.3-d3', 'local_data': [{'p': '(-w-2)', 'cp': 2, 'kod': -5, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}, {'p': '(2*w+1)', 'cp': 4, 'kod': -10, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 12, 'ord_den_j': 6}, {'p': '(3)', 'cp': 2, 'kod': 3, 'red': 0, 'normp': 9, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 3, 'ord_den_j': 0}], 'minD': '(-80156250*w+86484375)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 13904571533203125, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.62330556743281873284622526467644517470', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.63254489656964001912810370507968864848', 'prec': 133}, 'root_analytic_conductor': 2.680771564664777, 'semistable': False, 'sha': 1, 'short_class_label': '50625.3-d', 'short_label': '50625.3-d3', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[10,-1/2],[-21/4,-21/4],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1019236265570994148}