Elliptic curve data - 5.5.89417.1-11.1-b4

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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': '1.87789849', 'prec': 34}, 'abs_disc': 89417, 'ainvs': '3,1,-4,0,1;3,4,-4,-1,1;4,0,-5,0,1;88,207,-120,-67,19;587,1448,-321,-539,-36', 'analytic_rank': 1, 'bad_primes': ['(w^3-w^2-3*w+2)'], 'base_change': [], 'class_deg': 4, 'class_label': '5.5.89417.1-11.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(w^3-w^2-3*w+2)', 'conductor_label': '11.1', 'conductor_norm': 11, 'conductor_norm_factors': [11], 'degree': 5, 'disc': '(-1383*w^4+977*w^3+6373*w^2-2399*w-4820)', 'equation': '{y}^2+\\left(a^{4}-4a^{2}+a+3\\right){x}{y}+\\left(a^{4}-5a^{2}+4\\right){y}={x}^{3}+\\left(a^{4}-a^{3}-4a^{2}+4a+3\\right){x}^{2}+\\left(19a^{4}-67a^{3}-120a^{2}+207a+88\\right){x}-36a^{4}-539a^{3}-321a^{2}+1448a+587', 'field_label': '5.5.89417.1', 'galois_images': ['2B'], 'gens': [], 'heights': [], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 4], 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'jinv': '751306184458928265884514/45949729863572161,1637467232063013399273925/45949729863572161,-1018805365320562990606080/45949729863572161,-921552595192807794564289/45949729863572161,476417640375476377168321/45949729863572161', 'label': '5.5.89417.1-11.1-b4', 'local_data': [{'p': '(w^3-w^2-3*w+2)', 'cp': 2, 'kod': 20, 'red': -1, 'normp': 11, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 16, 'ord_den_j': 16}], 'minD': '(-1383*w^4+977*w^3+6373*w^2-2399*w-4820)', 'n_bad_primes': 1, 'ngens': 0, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 45949729863572161, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '292.63955810705728365109250672219830032', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank_bounds': [0, 1], 'reducible_primes': [2], 'reg': 1, 'root_analytic_conductor': 33.961578645816424, 'semistable': True, 'short_class_label': '11.1-b', 'short_label': '11.1-b4', 'signature': [5, 0], 'tamagawa_product': 2, 'torsion_gens': ['[[-3,-9,13,7/4,-7/2],[-65/4,-26,115/8,73/8,-3/2],[1,0,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 737947725737766682}