Elliptic curve data - 4.4.1125.1-89.3-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': '1.12756523308851', 'prec': 54}, 'abs_disc': 1125, 'ainvs': '-2,1,1,0;-2,4,1,-1;0,-2,0,1;-75,-291,31,82;326,1404,-143,-396', 'analytic_rank': 1, 'bad_primes': ['(-2*w^3+w^2+7*w-2)'], 'base_change': [], 'class_deg': 3, 'class_label': '4.4.1125.1-89.3-b', 'class_size': 2, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-2*w^3+w^2+7*w-2)', 'conductor_label': '89.3', 'conductor_norm': 89, 'conductor_norm_factors': [89], 'degree': 4, 'disc': '(3*w^3+6*w^2-25*w-27)', 'equation': '{y}^2+\\left(a^{2}+a-2\\right){x}{y}+\\left(a^{3}-2a\\right){y}={x}^{3}+\\left(-a^{3}+a^{2}+4a-2\\right){x}^{2}+\\left(82a^{3}+31a^{2}-291a-75\\right){x}-396a^{3}-143a^{2}+1404a+326', 'field_label': '4.4.1125.1', 'galois_images': ['3B.1.1'], 'gens': ['[[-4,-25,2,7],[0,-22,1,6],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.019242294063444979405768450589317675424', 'prec': 137}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 3], 'isogeny_matrix': [[1, 3], [3, 1]], 'jinv': '33436542823570/704969,221021181736913/704969,-59371662388246/704969,-83630646617237/704969', 'label': '4.4.1125.1-89.3-b1', 'local_data': [{'p': '(-2*w^3+w^2+7*w-2)', 'cp': 3, 'kod': 7, 'red': 1, 'normp': 89, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 3, 'ord_den_j': 3}], 'minD': '(-3*w^3-6*w^2+25*w+27)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [3], 'nonmax_rad': 3, 'normdisc': -704969, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '1474.0844125343780183372939428680433091', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [3], 'reg': {'__RealLiteral__': 0, 'data': '0.019242294063444979405768450589317675424', 'prec': 137}, 'root_analytic_conductor': 5.252772183659607, 'semistable': True, 'sha': 1, 'short_class_label': '89.3-b', 'short_label': '89.3-b1', 'signature': [4, 0], 'tamagawa_product': 3, 'torsion_gens': ['[[14/3,28/3,-5/3,-8/3],[4/9,-86/9,1/3,22/9],[1,0,0,0]]'], 'torsion_order': 3, 'torsion_primes': [3], 'torsion_structure': [3], 'trace_hash': 693005975150885884}