Elliptic curve data - 3.3.148.1-19.1-b4

Formats: - HTML - YAML - JSON - 2025-04-22T17:10:45.088409

• 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': '0.45336322123837360534242574207699263494', 'prec': 133}, 'abs_disc': 148, 'ainvs': '0,0,0;3,2,-1;1,0,0;6641756824108,-16864675023680,-14413186731445;29477517729190614798,-74848985016046516967,-63968762883395881049', 'analytic_rank': 1, 'bad_primes': ['(-w^2-w-1)'], 'base_change': [], 'class_deg': 10, 'class_label': '3.3.148.1-19.1-b', 'class_size': 4, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(-w^2-w-1)', 'conductor_label': '19.1', 'conductor_norm': 19, 'conductor_norm_factors': [19], 'degree': 3, 'disc': '(9*w^2-35*w-153)', 'equation': '{y}^2+{y}={x}^{3}+\\left(-a^{2}+2a+3\\right){x}^{2}+\\left(-14413186731445a^{2}-16864675023680a+6641756824108\\right){x}-63968762883395881049a^{2}-74848985016046516967a+29477517729190614798', 'field_label': '3.3.148.1', 'galois_images': ['2B', '5B.1.2'], 'gens': ['[[-154380711/100,196000733/50,335019313/100],[-809534608556/125,8222245080169/500,1756760114348/125],[1,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '2.5296817027407494987153185079524223795', 'prec': 130}], 'iso_label': 'b', 'iso_nlabel': 1, 'isodeg': [1, 2, 5, 10], 'isogeny_matrix': [[1, 5, 10, 2], [5, 1, 2, 10], [10, 2, 1, 5], [2, 10, 5, 1]], 'jinv': '14499029076062806016/2476099,-53285799291084800000/2476099,21475865428001583104/2476099', 'label': '3.3.148.1-19.1-b4', 'local_data': [{'p': '(-w^2-w-1)', 'cp': 1, 'kod': 9, 'red': -1, 'normp': 19, 'rootno': 1, 'ord_cond': 1, 'ord_disc': 5, 'ord_den_j': 5}], 'minD': '(9*w^2-35*w-153)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'normdisc': -2476099, 'number': 4, 'omega': {'__RealLiteral__': 0, 'data': '2.9070332569522215915220296236975880883', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2, 5], 'reg': {'__RealLiteral__': 0, 'data': '2.5296817027407494987153185079524223795', 'prec': 130}, 'root_analytic_conductor': 1.7758039241958787, 'semistable': True, 'sha': 1, 'short_class_label': '19.1-b', 'short_label': '19.1-b4', 'signature': [3, 0], 'tamagawa_product': 1, 'torsion_gens': ['[[-789324,4008479/2,3425799/2],[-1/2,0,0],[1,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1921424558027966521}