Elliptic curve data - 4.4.2304.1-1.1-a7

Formats: - HTML - YAML - JSON - 2024-05-09T03:15:34.263952

• 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': '0.372767982390426', 'prec': 57}, 'abs_disc': 2304, 'ainvs': '0,-3,0,1;-1,-5,0,1;1,0,0,0;-40,-76,0,15;179,365,0,-73', 'analytic_rank': 0, 'bad_primes': [], 'base_change': ['2.2.24.1-1.1-a6', '2.2.24.1-16.1-a5'], 'class_deg': 72, 'class_label': '4.4.2304.1-1.1-a', 'class_size': 18, 'cm': -72, 'cm_type': -1, 'conductor_ideal': '(1)', 'conductor_label': '1.1', 'conductor_norm': 1, 'conductor_norm_factors': [], 'degree': 4, 'disc': '(1)', 'equation': '{y}^2+\\left(a^{3}-3a\\right){x}{y}+{y}={x}^{3}+\\left(a^{3}-5a-1\\right){x}^{2}+\\left(15a^{3}-76a-40\\right){x}-73a^{3}+365a+179', 'field_label': '4.4.2304.1', 'galois_images': ['2Cs', '3B.1.1'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 9, 12, 18, 36], 'isogeny_matrix': [[1, 8, 4, 12, 8, 24, 4, 12, 36, 2, 18, 6, 72, 24, 9, 3, 72, 36], [8, 1, 8, 24, 4, 12, 2, 6, 18, 4, 36, 12, 9, 3, 72, 24, 36, 72], [4, 8, 1, 3, 8, 24, 4, 12, 36, 2, 18, 6, 72, 24, 36, 12, 72, 9], [12, 24, 3, 1, 24, 8, 12, 4, 12, 6, 6, 2, 24, 8, 12, 4, 24, 3], [8, 4, 8, 24, 1, 3, 2, 6, 18, 4, 36, 12, 36, 12, 72, 24, 9, 72], [24, 12, 24, 8, 3, 1, 6, 2, 6, 12, 12, 4, 12, 4, 24, 8, 3, 24], [4, 2, 4, 12, 2, 6, 1, 3, 9, 2, 18, 6, 18, 6, 36, 12, 18, 36], [12, 6, 12, 4, 6, 2, 3, 1, 3, 6, 6, 2, 6, 2, 12, 4, 6, 12], [36, 18, 36, 12, 18, 6, 9, 3, 1, 18, 2, 6, 2, 6, 4, 12, 2, 4], [2, 4, 2, 6, 4, 12, 2, 6, 18, 1, 9, 3, 36, 12, 18, 6, 36, 18], [18, 36, 18, 6, 36, 12, 18, 6, 2, 9, 1, 3, 4, 12, 2, 6, 4, 2], [6, 12, 6, 2, 12, 4, 6, 2, 6, 3, 3, 1, 12, 4, 6, 2, 12, 6], [72, 9, 72, 24, 36, 12, 18, 6, 2, 36, 4, 12, 1, 3, 8, 24, 4, 8], [24, 3, 24, 8, 12, 4, 6, 2, 6, 12, 12, 4, 3, 1, 24, 8, 12, 24], [9, 72, 36, 12, 72, 24, 36, 12, 4, 18, 2, 6, 8, 24, 1, 3, 8, 4], [3, 24, 12, 4, 24, 8, 12, 4, 12, 6, 6, 2, 24, 8, 3, 1, 24, 12], [72, 36, 72, 24, 9, 3, 18, 6, 2, 36, 4, 12, 4, 12, 8, 24, 1, 8], [36, 72, 9, 3, 72, 24, 36, 12, 4, 18, 2, 6, 8, 24, 4, 12, 8, 1]], 'jinv': '188837384000,-385461440000,0,77092288000', 'label': '4.4.2304.1-1.1-a7', 'local_data': [], 'minD': '(1)', 'n_bad_primes': 0, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1, 'number': 7, 'omega': {'__RealLiteral__': 0, 'data': '2576.5722942826273015649122433889662772', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 4.289234503463643, 'semistable': True, 'sha': 1, 'short_class_label': '1.1-a', 'short_label': '1.1-a7', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[7/2,6,-1/2,-1],[2,5,-3/2,-3/2],[1,0,0,0]]', '[[3,5,0,-1],[3,7,-1,-2],[1,0,0,0]]'], 'torsion_order': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 6], 'trace_hash': 871840617373234847}