Elliptic curve data - 4.4.8000.1-25.1-b1

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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': '3.26540315765233', 'prec': 54}, 'abs_disc': 8000, 'ainvs': '0,-3,0,1/2;3,-3,-1/2,1/2;1,-3,0,1/2;38,8,-13,-4;147,51,-105/2,-19', 'analytic_rank': 2, 'bad_primes': ['(1/2*w^3+1/2*w^2-3*w-5)'], 'base_change': [], 'class_deg': 2, 'class_label': '4.4.8000.1-25.1-b', 'class_size': 2, 'cm': -8, 'cm_type': -1, 'conductor_ideal': '(-w^2+5)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(5*w^2-25)', 'equation': '{y}^2+\\left(\\frac{1}{2}a^{3}-3a\\right){x}{y}+\\left(\\frac{1}{2}a^{3}-3a+1\\right){y}={x}^{3}+\\left(\\frac{1}{2}a^{3}-\\frac{1}{2}a^{2}-3a+3\\right){x}^{2}+\\left(-4a^{3}-13a^{2}+8a+38\\right){x}-19a^{3}-\\frac{105}{2}a^{2}+51a+147', 'field_label': '4.4.8000.1', 'galois_images': ['5Nn.2.2[2]'], 'gens': ['[[-7,-1,2,1/2],[15,5,-11/2,-2],[1,0,0,0]]', '[[0,2,-1/2,-1/2],[1,0,0,0],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.17799886876748401411313994845092986183', 'prec': 133}, {'__RealLiteral__': 0, 'data': '0.17799886876748401411313994845092986183', 'prec': 133}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2], 'isogeny_matrix': [[1, 2], [2, 1]], 'jinv': '8000,0,0,0', 'label': '4.4.8000.1-25.1-b1', 'local_data': [{'p': '(1/2*w^3+1/2*w^2-3*w-5)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 5, 'rootno': 1, 'ord_cond': 2, 'ord_disc': 6, 'ord_den_j': 0}], 'minD': '(-5*w^2+25)', 'n_bad_primes': 1, 'ngens': 2, 'non_min_p': [], 'nonmax_primes': [5], 'nonmax_rad': 5, 'normdisc': 15625, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1152.2781597917094762382049259581418783', 'prec': 130}, 'potential_good_reduction': True, 'q_curve': True, 'rank': 2, 'rank_bounds': [2, 2], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '0.031683597282503996029501581418906137482', 'prec': 137}, 'root_analytic_conductor': 11.95159995817362, 'semistable': False, 'sha': 1, 'short_class_label': '25.1-b', 'short_label': '25.1-b1', 'signature': [4, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[3/2,2,-3/4,-1/2],[-1/2,0,1/2,1/8],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1753091964367545880}