Elliptic curve data - 4.4.13968.1-4.2-c1

Formats: - HTML - YAML - JSON - 2024-05-11T14:59:55.206474

• 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': '3.58932986834908', 'prec': 54}, 'abs_disc': 13968, 'ainvs': '-2,-1/2,1/2,0;0,-2,-1/2,1/2;-1,1/2,1/2,0;-125876,146797/2,57713/2,-12062;-18756361,11009111,4323424,-1811281', 'analytic_rank': 0, 'bad_primes': ['(1/2*w^2+1/2*w-1)', '(-1/2*w^3+1/2*w^2+4*w-1)'], 'base_change': [], 'class_deg': 30, 'class_label': '4.4.13968.1-4.2-c', 'class_size': 8, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-1/2*w^2+1/2*w+3)', 'conductor_label': '4.2', 'conductor_norm': 4, 'conductor_norm_factors': [2], 'degree': 4, 'disc': '(1/2*w^3-7/2*w+1)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{2}-\\frac{1}{2}a-2\\right){x}{y}+\\left(\\frac{1}{2}a^{2}+\\frac{1}{2}a-1\\right){y}={x}^{3}+\\left(\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}-2a\\right){x}^{2}+\\left(-12062a^{3}+\\frac{57713}{2}a^{2}+\\frac{146797}{2}a-125876\\right){x}-1811281a^{3}+4323424a^{2}+11009111a-18756361', 'field_label': '4.4.13968.1', 'galois_images': ['2B', '3B', '5B.1.2'], 'gens': [], 'heights': [], 'iso_label': 'c', 'iso_nlabel': 2, 'isodeg': [1, 2, 3, 5, 6, 10, 15, 30], 'isogeny_matrix': [[1, 10, 5, 2, 3, 30, 6, 15], [10, 1, 2, 5, 30, 3, 15, 6], [5, 2, 1, 10, 15, 6, 30, 3], [2, 5, 10, 1, 6, 15, 3, 30], [3, 30, 15, 6, 1, 10, 2, 5], [30, 3, 6, 15, 10, 1, 5, 2], [6, 15, 30, 3, 2, 5, 1, 10], [15, 6, 3, 30, 5, 2, 10, 1]], 'jinv': '23144299352872525232815491/4,-6795874548186284776734387/2,-21348474961231757628600003/16,8945482319277413784325011/16', 'label': '4.4.13968.1-4.2-c1', 'local_data': [{'p': '(1/2*w^2+1/2*w-1)', 'cp': 1, 'kod': 5, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 1, 'ord_den_j': 1}, {'p': '(-1/2*w^3+1/2*w^2+4*w-1)', 'cp': 6, 'kod': 10, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 6, 'ord_den_j': 6}], 'minD': '(-1/2*w^3+7/2*w-1)', 'n_bad_primes': 2, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'normdisc': -128, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '0.45249023330700316024480963046444018720', 'prec': 133}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3, 5], 'reg': 1, 'root_analytic_conductor': 12.559234388704436, 'semistable': True, 'sha': 625, 'short_class_label': '4.2-c', 'short_label': '4.2-c1', 'signature': [4, 0], 'tamagawa_product': 6, 'torsion_gens': ['[[-719/4,133,173/4,-41/2],[-313/2,1805/16,323/8,-295/16],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1113459388722933391}