Elliptic curve data - 482790.fw3

Formats: - HTML - YAML - JSON - 2025-11-03T02:32:30.183067

• 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': '482790fw', 'Clabel': '482790fw2', 'Cnumber': 2, 'abc_quality': 1.0082885109963067, 'absD': 3537838042953984000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 25080, 'ainvs': [1, 1, 1, -94864910, 355585610315], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 482790, 'degree': 68812800, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2213211239637216886612909880', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 152, 'isogeny_degrees': [1, 2], 'jinv': [53294746224000958661881, 1997017344000000], 'lmfdb_iso': '482790.fw', 'lmfdb_label': '482790.fw3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -784007, -267513099], 'min_quad_twist_disc': -11, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '120.12.0.?', '220.12.0.?', '264.12.0.?', '380.12.0.?', '456.12.0.?', '836.12.0.?', '1320.24.0.?', '2280.24.0.?', '4180.24.0.?', '5016.24.0.?', '25080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 58, 'optimality': 3, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.53396406659321712172850016438', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [3, 4, 32186], [5, 6, 96558], [7, 8, 34485], [11, 62, 3990], [19, 20, 25410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0223734875645364166303191990', 'prec': 100}, 'szpiro_ratio': 5.097866438622275, '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, -1, 1, 1, -1, 1, 1, 1, 1, 0, -1, -2, 1, -1, 1, -6, 1, 1, 1], 'aplist': [1, -1, 1, 1, 0, -2, -6, 1, -4, -6, -4, -6, -6, 0, -4, 2, 8, 2, -12, 0, -10, -4, -4, -2, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 482790, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '482790.fw', 'trace_hash': 1949167130147237088}
• 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': '0.0015921941461001435862023550976', 'prec': 110}, 'conductor': 482790, 'gens': [[5693, 5623, 1], [4923, 86473, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.61762289635451323980181304223', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.88220632350659380855041880512', 'prec': 103}], 'lmfdb_label': '482790.fw3', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.13165334041246727684325946487', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '23.620179417146645726601848358373362243', 'prec': 130}, 'tamagawa_product': 5376, 'torsion_generators': [[-11247, 5623, 1], [5649, -2825, 1]], 'xcoord_integral_points': [-11247, -9247, -7047, -5967, -3547, -495, 303, 2305, 3273, 3915, 4433, 4923, 5385, 5553, 5573, 5649, 5653, 5693, 5763, 6353, 6903, 8353, 9753, 13393, 25713, 42653, 56513, 131049, 226353, 472593]}
• lmfdb_label 482790.fw3 does not appear in ec_iwasawa
• lmfdb_label 482790.fw3 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: 11899070
    {'conductor': 482790, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '482790.fw3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 11899071
    {'conductor': 482790, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '482790.fw3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11899072
    {'conductor': 482790, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '482790.fw3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 11899073
    {'conductor': 482790, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '482790.fw3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11899074
    {'conductor': 482790, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '482790.fw3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11899075
    {'conductor': 482790, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '482790.fw3', 'prime': 19, 'reduction_type': 1, '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: 4623582
    {'adelic_gens': [[1, 0, 4, 1], [25077, 4, 25076, 5], [22441, 13684, 1562, 2289], [1, 4, 0, 1], [6271, 6842, 0, 1], [16721, 6842, 0, 1], [12541, 6842, 0, 1], [21891, 6842, 8206, 18239], [15959, 0, 0, 25079]], 'adelic_image': '25080.48.0.?', 'conductor': 482790, 'lmfdb_label': '482790.fw3', 'prime': 0}
  • id: 1599180
    {'conductor': 482790, 'elladic_image': '2.6.0.1', 'lmfdb_label': '482790.fw3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 482790.fw does not appear in ec_padic