Elliptic curve data - 4.4.9225.1-25.1-d5

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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': '2.53450733678301', 'prec': 54}, 'abs_disc': 9225, 'ainvs': '1/4,-1/2,0,1/4;-15/4,-3/2,1,1/4;-15/4,-3/2,1,1/4;1799/4,915/2,-53,-241/4;-7087/2,-2799,404,707/2', 'analytic_rank': 1, 'bad_primes': ['(1/2*w^3-3*w-1/2)'], 'base_change': [], 'class_deg': 8, 'class_label': '4.4.9225.1-25.1-d', 'class_size': 6, 'cm': 0, 'cm_type': 0, 'conductor_ideal': '(1/2*w^3-3*w-1/2)', 'conductor_label': '25.1', 'conductor_norm': 25, 'conductor_norm_factors': [5], 'degree': 4, 'disc': '(625)', 'equation': '{y}^2+\\left(\\frac{1}{4}a^{3}-\\frac{1}{2}a+\\frac{1}{4}\\right){x}{y}+\\left(\\frac{1}{4}a^{3}+a^{2}-\\frac{3}{2}a-\\frac{15}{4}\\right){y}={x}^{3}+\\left(\\frac{1}{4}a^{3}+a^{2}-\\frac{3}{2}a-\\frac{15}{4}\\right){x}^{2}+\\left(-\\frac{241}{4}a^{3}-53a^{2}+\\frac{915}{2}a+\\frac{1799}{4}\\right){x}+\\frac{707}{2}a^{3}+404a^{2}-2799a-\\frac{7087}{2}', 'field_label': '4.4.9225.1', 'galois_images': ['2B'], 'gens': ['[[2022,1694,-236,-217],[-103959,-88397,12267,11391],[1,0,0,0]]'], 'heights': [{'__RealLiteral__': 0, 'data': '1.4698381415082935216892734860569099386', 'prec': 130}], 'iso_label': 'd', 'iso_nlabel': 3, 'isodeg': [1, 2, 4, 8], 'isogeny_matrix': [[1, 4, 2, 4, 8, 8], [4, 1, 2, 4, 2, 2], [2, 2, 1, 2, 4, 4], [4, 4, 2, 1, 8, 8], [8, 2, 4, 8, 1, 4], [8, 2, 4, 8, 4, 1]], 'jinv': '-14724711948631/500,12827568843/250,9678146215168/625,-10463690358987/2500', 'label': '4.4.9225.1-25.1-d5', 'local_data': [{'p': '(1/2*w^3-3*w-1/2)', 'cp': 8, 'kod': 12, 'red': 1, 'normp': 25, 'rootno': -1, 'ord_cond': 1, 'ord_disc': 8, 'ord_den_j': 8}], 'minD': '(625)', 'n_bad_primes': 1, 'ngens': 1, 'non_min_p': [], 'nonmax_primes': [2], 'nonmax_rad': 2, 'normdisc': 152587890625, 'number': 5, 'omega': {'__RealLiteral__': 0, 'data': '5.1755588229641767930714288427852862214', 'prec': 130}, 'potential_good_reduction': False, 'q_curve': False, 'rank': 1, 'rank_bounds': [1, 1], 'reducible_primes': [2], 'reg': {'__RealLiteral__': 0, 'data': '1.4698381415082935216892734860569099386', 'prec': 130}, 'root_analytic_conductor': 12.834065221574328, 'semistable': True, 'sha': 4, 'short_class_label': '25.1-d', 'short_label': '25.1-d5', 'signature': [4, 0], 'tamagawa_product': 8, 'torsion_gens': ['[[-3/16,37/8,1/4,-7/16],[33/8,1/2,-7/4,-1/4],[1,0,0,0]]'], 'torsion_order': 2, 'torsion_primes': [2], 'torsion_structure': [2], 'trace_hash': 1060687536120357487}