Elliptic curve data - 3.3.316.1-128.7-a1

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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': '3.7065962831748641150502937960417733479', 'prec': 130}, 'abs_disc': 316, 'ainvs': '-3,0,1;-1,-1,0;-3,0,1;-567,585,-147;4961,-10808,3709', 'analytic_rank': 1, 'bad_primes': ['(w)', '(-w+1)'], 'base_change': [], 'class_deg': 6, 'class_label': '3.3.316.1-128.7-a', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-3*w^2-w+6)', 'conductor_label': '128.7', 'conductor_norm': 128, 'conductor_norm_factors': [2], 'degree': 3, 'disc': '(-128*w^2+128*w+768)', 'equation': '{y}^2+\\left(a^{2}-3\\right){x}{y}+\\left(a^{2}-3\\right){y}={x}^{3}+\\left(-a-1\\right){x}^{2}+\\left(-147a^{2}+585a-567\\right){x}+3709a^{2}-10808a+4961', 'field_label': '3.3.316.1', 'galois_images': ['2B', '3B'], 'gens': ['[[19,-4,0],[10,-5,-7],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '0.10988405191842367867810054190625291548', 'prec': 133}], 'iso_label': 'a', 'iso_nlabel': 0, 'isodeg': [1, 2, 3, 6], 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'jinv': '1462650220091725987/32,-29854300194558708471/256,10610687801034935261/256', 'label': '3.3.316.1-128.7-a1', 'local_data': [{'p': '(w)', 'cp': 15, 'kod': 19, 'red': 1, 'normp': 2, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 15, 'ord_den_j': 15}, {'p': '(-w+1)', 'cp': 2, 'kod': -1, 'red': 0, 'normp': 2, 'rootno': -1, 'ord_cond': 6, 'ord_disc': 10, 'ord_den_j': 0}], 'minD': '(128*w^2-128*w-768)', 'n_bad_primes': 2, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'normdisc': 33554432, 'number': 1, 'omega': {'__RealLiteral__': 0, 'data': '26.650271862777595225609584100310731882', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 3], 'reg': {'__RealLiteral__': 0, 'data': '0.10988405191842367867810054190625291548', 'prec': 133}, 'root_analytic_conductor': 3.56601985088926, 'semistable': False, 'sha': 1, 'short_class_label': '128.7-a', 'short_label': '128.7-a1', 'signature': [3, 0], 'tamagawa_product': 30, 'torsion_gens': ['[[21/4,-15/2,9/4],[33/8,3/2,-13/8],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1287816781622889100}