Elliptic curve data - 67626.w3

Formats: - HTML - YAML - JSON - 2024-04-29T06:02:56.717017

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '67626bh', 'Clabel': '67626bh1', 'Cnumber': 1, 'abc_quality': 0.8441470072585473, 'absD': 457503482826, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 15912, 'ainvs': [1, -1, 1, 1246, -28101], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 67626, 'degree': 100800, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92168695382742985020035520116', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 3, 9], 'jinv': [12167, 26], 'lmfdb_iso': '67626.w', 'lmfdb_label': '67626.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 0, 0], 'min_quad_twist_disc': -51, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '51.8.0-3.a.1.1', '104.2.0.?', '117.36.0.?', '153.24.0.?', '312.8.0.?', '936.72.3.?', '1989.72.0.?', '5304.16.0.?', '15912.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0442258625347330356220347262', 'prec': 103}, 'szpiro_ratio': 3.055989801195898, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 1, 1, 0, -3, 6, 0, 1, 1, 0, 1, 0, 0, 2, -3], 'aplist': [1, 0, -3, 1, 6, 1, 0, 2, 0, 6, 4, 7, 0, -1, -3, 0, 6, -8, 14, -3, -2, -8, -12, 6, 10], 'class_deg': 9, 'class_size': 3, 'conductor': 67626, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '67626.w', 'trace_hash': 1707453577014108564}
• 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': '0.15828249369097907946032075020', 'prec': 103}, 'conductor': 67626, 'gens': [], 'heights': [], 'lmfdb_label': '67626.w3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48720553853417877200308519030', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3848498468076089480277667126936869742', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': 'a', '5': [0, 0], '7': [2, 0], '11': [0, 0], '13': [1, 0], '17': 'a', '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '67626.w3'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 3220676
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '67626.w3', 'torsion': [3]}
  • id: 3220677
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '67626.w3', 'torsion': [2]}
  • id: 3220678
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '67626.w3', 'torsion': [2, 2]}
  • id: 3220679
    {'degree': 6, 'field': [950, -750, 114, -29, -9, -3, 1], 'lmfdb_label': '67626.w3', 'torsion': [3]}
  • id: 3220681
    {'degree': 6, 'field': [2617, -661, 538, -71, 40, -3, 1], 'lmfdb_label': '67626.w3', 'torsion': [6]}
  • id: 3220680
    {'degree': 6, 'field': [3775, -374, 509, -15, 30, -1, 1], 'lmfdb_label': '67626.w3', 'torsion': [9]}
  • id: 3220682
    {'degree': 12, 'field': [-7969938092, 1777400840, -88868092, -20192680, 13474487, -1915402, 88500, 24770, -8216, 454, 12, -6, 1], 'lmfdb_label': '67626.w3', 'torsion': [4]}
  • id: 3220683
    {'degree': 12, 'field': [20449, -39039, 32279, -14196, 1521, -39, 196, 147, 153, -42, 17, -3, 1], 'lmfdb_label': '67626.w3', 'torsion': [3, 3]}
  • id: 3220684
    {'degree': 12, 'field': [25972, 4036, -15108, -1986, 4694, 906, -1093, -262, 183, 32, -17, -2, 1], 'lmfdb_label': '67626.w3', 'torsion': [9]}
  • id: 3220685
    {'degree': 12, 'field': [3524473, 270262, 1134313, 130466, 283018, -20050, 43893, -3874, 2894, -158, 85, -2, 1], 'lmfdb_label': '67626.w3', 'torsion': [2, 6]}
  • id: 3220686
    {'degree': 18, 'field': [-2014076, -1104884, -508584, -784446, 89330, 271614, 238596, 106526, -128498, -52773, 30821, 10594, -4452, -1528, 528, 104, -34, -3, 1], 'lmfdb_label': '67626.w3', 'torsion': [6]}
  • id: 3220687
    {'degree': 18, 'field': [15743689441, -6873599088, 9987435831, -3523986297, 2881125681, -817889049, 491084663, -112344543, 54238973, -9979730, 4021632, -585831, 200209, -22155, 6443, -494, 121, -5, 1], 'lmfdb_label': '67626.w3', 'torsion': [18]}
• 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: 1635981
    {'conductor': 67626, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '67626.w3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1635982
    {'conductor': 67626, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '67626.w3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1635983
    {'conductor': 67626, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '67626.w3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1635984
    {'conductor': 67626, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '67626.w3', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2111653
    {'adelic_gens': [[1, 18, 0, 1], [13327, 8874, 15606, 11627], [1, 18, 10, 181], [10, 9, 81, 73], [15895, 18, 15894, 19], [14039, 0, 0, 15911], [7498, 7497, 459, 8416], [1, 0, 18, 1], [15556, 7497, 10863, 3724], [15454, 7497, 12393, 8416]], 'adelic_image': '15912.144.3.?', 'conductor': 67626, 'lmfdb_label': '67626.w3', 'prime': 0}
  • id: 282708
    {'conductor': 67626, 'elladic_image': '9.12.0.1', 'lmfdb_label': '67626.w3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 67626.w does not appear in ec_padic