Elliptic curve data - 432450.fz2

Formats: - HTML - YAML - JSON - 2026-09-22T06:33:04.348358

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '432450fz', 'Clabel': '432450fz4', 'Cnumber': 4, 'abc_quality': 1.0007838605326649, 'absD': 33609882443006471006250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 3720, 'ainvs': [1, -1, 1, -4155849005, -103117360747003], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 432450, 'degree': 377487360, 'elladic_images': ['8.48.0.113'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1062707547285485357495416990', 'prec': 97}, 'faltings_index': 2, 'faltings_ratio': 4, 'intrinsic_torsion': 1, 'iso_nlabel': 155, 'isogeny_degrees': [1, 2, 4], 'jinv': [785209010066844481, 3324675600], 'lmfdb_iso': '432450.fz', 'lmfdb_label': '432450.fz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -19220, -1027200], 'min_quad_twist_disc': 465, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.e.1.15', '60.24.0.c.1', '120.96.0.?', '124.24.0.?', '248.96.0.?', '1860.48.0.?', '3720.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 216225], [3, 8, 48050], [5, 18, 17298], [31, 512, 450]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0352520519348703797869572517', 'prec': 97}, 'szpiro_ratio': 6.014919896982211, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 6, 0, 0, 1, -2, 0, 4, 0], 'aplist': [1, 0, 0, 0, -4, 6, -2, 4, 8, 6, 0, -2, -10, -4, 0, 10, 12, 2, 4, 0, 2, 0, -4, -14, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 432450, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '432450.fz', 'trace_hash': 250966012463617359}
• 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': '0.00027123050966600321309201568212', 'prec': 97}, 'conductor': 432450, 'gens': [], 'heights': [], 'lmfdb_label': '432450.fz2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.018803328139465375052166977175', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8136520037031360133547461567005355623', 'prec': 127}, 'tamagawa_product': 256, 'torsion_generators': [[-37161, 18580, 1], [74439, -37220, 1]], 'xcoord_integral_points': [-37161, 74439]}
• lmfdb_label 432450.fz2 does not appear in ec_iwasawa
• lmfdb_label 432450.fz2 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: 10680916
    {'conductor': 432450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '432450.fz2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10680917
    {'conductor': 432450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '432450.fz2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10680918
    {'conductor': 432450, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '432450.fz2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10680919
    {'conductor': 432450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '432450.fz2', 'prime': 31, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 4332943
    {'adelic_gens': [[1865, 932, 952, 1869], [2473, 3718, 18, 5], [1919, 3712, 236, 3687], [1, 0, 8, 1], [1, 8, 0, 1], [5, 4, 3716, 3717], [1481, 3718, 1506, 5], [7, 936, 3714, 2785], [3713, 8, 3712, 9]], 'adelic_image': '3720.192.1.?', 'conductor': 432450, 'lmfdb_label': '432450.fz2', 'prime': 0}
  • id: 1454086
    {'conductor': 432450, 'elladic_image': '8.48.0.113', 'lmfdb_label': '432450.fz2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 432450.fz does not appear in ec_padic