Elliptic curve data - 4.4.13025.1-5.1-a4

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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': '1.81423937825073', 'prec': 54}, 'abs_disc': 13025, 'ainvs': '9/4,-3/2,-1/2,1/4;-1,-1,0,0;-5,0,1,0;-5/2,12,1,-7/2;-177/4,-65/2,27/2,39/4', 'analytic_rank': 1, 'bad_primes': ['(1/4*w^3+1/2*w^2-1/2*w-7/4)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.13025.1-5.1-a', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1/4*w^3+1/2*w^2-1/2*w-7/4)', 'conductor_label': '5.1', 'conductor_norm': 5, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(-3/4*w^3+3/2*w^2+11/2*w-19/4)', 'equation': '{y}^2+\\left(\\frac{1}{4}a^{3}-\\frac{1}{2}a^{2}-\\frac{3}{2}a+\\frac{9}{4}\\right){x}{y}+\\left(a^{2}-5\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-\\frac{7}{2}a^{3}+a^{2}+12a-\\frac{5}{2}\\right){x}+\\frac{39}{4}a^{3}+\\frac{27}{2}a^{2}-\\frac{65}{2}a-\\frac{177}{4}', 'field_label': '4.4.13025.1', 'galois_images': ['2B'], 'gens': ['[[3/4,5/2,1/2,-1/4],[33/4,11/2,-1/2,-3/4],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.27900112998539265966839896484009021171', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 4, 8, 8, 2, 4], [4, 1, 2, 2, 2, 4], [8, 2, 1, 4, 4, 8], [8, 2, 4, 1, 4, 8], [2, 2, 4, 4, 1, 2], [4, 4, 8, 8, 2, 1]], 'jinv': '84189419/20,27643383/10,-2114437/10,-5243081/20', 'label': '4.4.13025.1-5.1-a4', 'local_data': [{'p': '(1/4*w^3+1/2*w^2-1/2*w-7/4)', 'cp': 2, 'kod': 6, 'red': 1, 'normp': 5, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 2, 'ord_den_j': 2}], 'minD': '(-3/4*w^3+3/2*w^2+11/2*w-19/4)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 25, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '1484.2514728195000566936756381707098341', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.27900112998539265966839896484009021171', 'prec': 133}, 'root_analytic_conductor': 12.470925075898194, 'semistable': True, 'sha': 1, 'short_class_label': '5.1-a', 'short_label': '5.1-a4', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-33/4,3/2,5/2,-1/4],[121/4,-3/2,-17/2,1/4],[1,0,0,0]]'], 'torsion_order': 4, 'torsion_primes': [2], 'torsion_structure': [4], 'trace_hash': 1370283870068027344}