Elliptic curve data - 2.0.4.1-8450.9-a1

Formats: - HTML - YAML - JSON - 2026-09-11T02:51:54.228004

• 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': '1.9531391484321544623704279937085938388', 'prec': 127}, 'abs_disc': 4, 'ainvs': '0,1;0,1;0,0;1740,6444;-200320,-79392', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(2*w+1)', '(2*w+3)'], 'base_change': [], 'class_deg': 18, 'class_label': '2.0.4.1-8450.9-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(47*w-79)', 'conductor_label': '8450.9', 'conductor_norm': 8450, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(-211339207168*w-676257255424)', 'equation': '{y}^2+i{x}{y}={x}^{3}+i{x}^{2}+\\left(6444i+1740\\right){x}-79392i-200320', 'field_label': '2.0.4.1', 'galois_images': ['2B', '3B'], 'gens': ['[[-136,-8],[-404,1812],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.0488027865309757886394948538785990028', 'prec': 127}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6, 9, 18], 'isogeny_matrix': [[1, 3, 6, 2, 9, 18], [3, 1, 2, 6, 3, 6], [6, 2, 1, 3, 6, 3], [2, 6, 3, 1, 18, 9], [9, 3, 6, 18, 1, 2], [18, 6, 3, 9, 2, 1]], 'jinv': '-33515586556057/812500000,-276861163011391/13000000000', 'label': '2.0.4.1-8450.9-a1', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': 22, 'red': -1, 'normp': 2, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 18, 'ord_den_j': 18}, {'p': '(2*w+1)', 'cp': 2, 'kod': -13, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 15, 'ord_den_j': 9}, {'p': '(2*w+3)', 'cp': 4, 'kod': -5, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 7, 'ord_den_j': 1}], 'minD': '(211339207168*w+676257255424)', 'n_bad_primes': 3, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 501988136000000000000000, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.11916344274765468071086968034006254668', 'prec': 127}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '2.0488027865309757886394948538785990028', 'prec': 127}, 'root_analytic_conductor': 1.7134945459456261, 'semistable': False, 'sha': 1, 'short_class_label': '8450.9-a', 'short_label': '8450.9-a1', 'signature': [0, 1], 'tamagawa_product': 16, 'torsion_gens': ['[[24,-40],[-20,-12],[1,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 108878509727579733}