Elliptic curve data - 2.0.4.1-67600.4-d3

Formats: - HTML - YAML - JSON - 2024-12-21T12:34:50.142485

• 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': '3.7544601346915329778737150557821264372', 'prec': 130}, 'abs_disc': 4, 'ainvs': '1,1;0,1;0,0;-17,39;-215,30', 'analytic_rank': 1, 'bad_primes': ['(w+1)', '(-w-2)', '(2*w+1)', '(-3*w-2)'], 'base_change': [], 'class_deg': 16, 'class_label': '2.0.4.1-67600.4-d', 'class_size': 10, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(100*w+240)', 'conductor_label': '67600.4', 'conductor_norm': 67600, 'conductor_norm_factors': [2, 5, 13], 'degree': 2, 'disc': '(8280000*w-20350000)', 'equation': '{y}^2+\\left(i+1\\right){x}{y}={x}^{3}+i{x}^{2}+\\left(39i-17\\right){x}+30i-215', 'field_label': '2.0.4.1', 'galois_images': ['2Cs'], 'gens': ['[[3,-1],[3,14],[1,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.56462295606125061249017430824058113195', 'prec': 133}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 4, 2, 8, 2, 4, 8, 8, 8, 2], [4, 1, 2, 2, 8, 4, 8, 8, 2, 8], [2, 2, 1, 4, 4, 2, 4, 4, 4, 4], [8, 2, 4, 1, 16, 8, 16, 16, 4, 16], [2, 8, 4, 16, 1, 8, 16, 16, 16, 4], [4, 4, 2, 8, 8, 1, 2, 2, 8, 8], [8, 8, 4, 16, 16, 2, 1, 4, 16, 16], [8, 8, 4, 16, 16, 2, 4, 1, 16, 16], [8, 2, 4, 4, 16, 8, 16, 16, 1, 16], [2, 8, 4, 16, 4, 8, 16, 16, 16, 1]], 'jinv': '237276/625,0', 'label': '2.0.4.1-67600.4-d3', 'local_data': [{'p': '(w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 4, 'ord_disc': 8, 'ord_den_j': 0}, {'p': '(-w-2)', 'cp': 2, 'kod': 8, 'red': -1, 'normp': 5, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(2*w+1)', 'cp': 4, 'kod': 8, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 4, 'ord_den_j': 4}, {'p': '(-3*w-2)', 'cp': 4, 'kod': -1, 'red': 0, 'normp': 13, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(-8280000*w+20350000)', 'n_bad_primes': 4, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 482680900000000, 'number': 3, 'omega': {'__RealLiteral__': 0, 'data': '0.83118745314622114237037906877282822768', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': True, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.56462295606125061249017430824058113195', 'prec': 133}, 'root_analytic_conductor': 2.881742842484937, 'semistable': False, 'sha': 1, 'short_class_label': '67600.4-d', 'short_label': '67600.4-d3', 'signature': [0, 1], 'tamagawa_product': 64, 'torsion_gens': ['[[-5,5],[5,0],[1,0]]', '[[-2,-7/2],[-3/4,11/4],[1,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2], 'trace_hash': 469134327176459509}