Elliptic curve data - 432450.fy1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '432450fy', 'Clabel': '432450fy2', 'Cnumber': 2, 'abc_quality': 1.0649290401717362, 'absD': 518564599414658766523524375000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 248, 'ainvs': [1, -1, 1, -1429051787105, -657535531305401103], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 432450, 'degree': 5851054080, 'elladic_images': ['8.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.5418149768206182979100752281', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 154, 'isogeny_degrees': [1, 2], 'jinv': [1071679233972039583519, 1721868840000], 'lmfdb_iso': '432450.fy', 'lmfdb_label': '432450.fy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6609096, -6542495607], 'min_quad_twist_disc': 465, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.48.0.q.2', '124.24.0.?', '248.96.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 2, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 6975], [3, 8, 24025], [5, 18, 17298], [31, 272, 450]], 'sha': 25, 'sha_primes': [5], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6122994729056535804651996996', 'prec': 100}, 'szpiro_ratio': 7.365035433358606, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, -4, 0, 4, 0, 0, 1, 0, 0, 4, 0], 'aplist': [1, 0, 0, 0, -4, 4, 0, 4, 8, -4, 0, 4, -10, -4, 8, -4, 12, -4, 12, -8, 8, 8, 12, 0, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 432450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '432450.fy', 'trace_hash': 1766844771676200301}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.000015361749244227040417752037254', 'prec': 117}, 'conductor': 432450, 'gens': [], 'heights': [], 'lmfdb_label': '432450.fy1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.0043665416268061205557495040305', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '25.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2398499521673446668994048366232523877', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-2758069, 2758065, 2]], 'xcoord_integral_points': []}
• lmfdb_label 432450.fy1 does not appear in ec_iwasawa
• lmfdb_label 432450.fy1 does not appear in ec_torsion_growth
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 10680900
    {'conductor': 432450, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '432450.fy1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 10680901
    {'conductor': 432450, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '432450.fy1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10680902
    {'conductor': 432450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '432450.fy1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10680903
    {'conductor': 432450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '432450.fy1', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4332940
    {'adelic_gens': [[5, 8, 172, 201], [1, 0, 8, 1], [3, 4, 244, 243], [24, 5, 91, 32], [8, 63, 247, 0], [5, 4, 244, 245], [241, 8, 240, 9], [1, 8, 0, 1]], 'adelic_image': '248.96.1.?', 'conductor': 432450, 'lmfdb_label': '432450.fy1', 'prime': 0}
  • id: 1454083
    {'conductor': 432450, 'elladic_image': '8.48.0.204', 'lmfdb_label': '432450.fy1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 432450.fy does not appear in ec_padic