Elliptic curve data - 4.4.7225.1-1.1-a9

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• 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': '1.02014349000306', 'prec': 54}, 'abs_disc': 7225, 'ainvs': '1/2,-4/3,0,1/6;2,11/3,0,-1/3;-1,11/6,1/2,-1/6;23/2,37/6,-13/2,-7/3;10,6,-9,-3', 'analytic_rank': 0, 'bad_primes': [], 'base_change': [], 'class_deg': 24, 'class_label': '4.4.7225.1-1.1-a', 'class_size': 12, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1)', 'conductor_label': '1.1', 'conductor_norm': 1, 'conductor_norm_factors': [], 'degree': 4, 'disc': '(1)', 'equation': '{y}^2+\\left(\\frac{1}{6}a^{3}-\\frac{4}{3}a+\\frac{1}{2}\\right){x}{y}+\\left(-\\frac{1}{6}a^{3}+\\frac{1}{2}a^{2}+\\frac{11}{6}a-1\\right){y}={x}^{3}+\\left(-\\frac{1}{3}a^{3}+\\frac{11}{3}a+2\\right){x}^{2}+\\left(-\\frac{7}{3}a^{3}-\\frac{13}{2}a^{2}+\\frac{37}{6}a+\\frac{23}{2}\\right){x}-3a^{3}-9a^{2}+6a+10', 'field_label': '4.4.7225.1', 'galois_images': ['2B', '3B'], 'gens': [], 'heights': [], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 4, 6, 8, 12, 24], 'isogeny_matrix': [[1, 4, 2, 24, 24, 4, 12, 8, 8, 6, 3, 12], [4, 1, 2, 24, 24, 4, 12, 8, 8, 6, 12, 3], [2, 2, 1, 12, 12, 2, 6, 4, 4, 3, 6, 6], [24, 24, 12, 1, 4, 6, 2, 12, 3, 4, 8, 8], [24, 24, 12, 4, 1, 6, 2, 3, 12, 4, 8, 8], [4, 4, 2, 6, 6, 1, 3, 2, 2, 6, 12, 12], [12, 12, 6, 2, 2, 3, 1, 6, 6, 2, 4, 4], [8, 8, 4, 12, 3, 2, 6, 1, 4, 12, 24, 24], [8, 8, 4, 3, 12, 2, 6, 4, 1, 12, 24, 24], [6, 6, 3, 4, 4, 6, 2, 12, 12, 1, 2, 2], [3, 12, 6, 8, 8, 12, 4, 24, 24, 2, 1, 4], [12, 3, 6, 8, 8, 12, 4, 24, 24, 2, 4, 1]], 'jinv': '65447530,208095875/3,-6473610,-20583550/3', 'label': '4.4.7225.1-1.1-a9', 'local_data': [], 'minD': '(1)', 'n_bad_primes': 0, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 1, 'number': 9, 'omega': {'__RealLiteral__': 0, 'data': '1387.3951464041667826608378463881030232', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 0, 'rank_bounds': [0, 0], 'reducible_primes': [2, 3], 'reg': 1, 'root_analytic_conductor': 7.595519433216868, 'semistable': True, 'sha': 1, 'short_class_label': '1.1-a', 'short_label': '1.1-a9', 'signature': [4, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-2,-3/2,3/2,1/2],[-9/2,-8/3,5,11/6],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 965055094305489214}