Elliptic curve data - 141120.pw1

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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': '141120kk', 'Clabel': '141120kk3', 'Cnumber': 3, 'abc_quality': 1.0434643593713167, 'absD': 1412053416144000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, 0, 0, -531552, -137773496], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 141120, 'degree': 2654208, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2240365502007427697378649773', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 412, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [189123395584, 16078125], 'lmfdb_iso': '141120.pw', 'lmfdb_label': '141120.pw1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -301, -1960], 'min_quad_twist_disc': 168, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.b.1', '24.24.0-6.a.1.13', '42.24.0.c.1', '60.24.0.p.1', '120.48.0.?', '168.48.0.?', '420.48.1.?', '840.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 441], [3, 8, 3136], [5, 6, 28224], [7, 32, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12415268087241018030653921923', 'prec': 103}, 'szpiro_ratio': 4.314977922853185, '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, 0, 0, 0, 1, 0, 0, 0, 0, 0, 6, 0, -4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, 0, 1, 0, 6, -4, 6, 2, 0, 6, 10, -2, -6, 4, 0, -12, 0, 14, 4, -6, 4, -16, 12, 6, 16], 'class_deg': 6, 'class_size': 4, 'conductor': 141120, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '141120.pw', 'trace_hash': 412062028054255574}
• 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': '0.011701092091255556733444447505', 'prec': 107}, 'conductor': 141120, 'gens': [], 'heights': [], 'lmfdb_label': '141120.pw1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17776991770661528948612515522', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2664780249587669476670037253317688964', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-322, 0, 1]], 'xcoord_integral_points': [-322]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': 'a'}, 'iwp0': 5, 'lmfdb_label': '141120.pw1'}
• ec_torsion_growth •

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

  
  
  • id: 6377363
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 2]}
  • id: 6377364
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [6]}
  • id: 6377366
    {'degree': 4, 'field': [4, 0, 10, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 6]}
  • id: 6377365
    {'degree': 4, 'field': [21, 0, 8, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [4]}
  • id: 6377367
    {'degree': 6, 'field': [-2058, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [6]}
  • id: 6377368
    {'degree': 8, 'field': [225, 0, -144, 0, -141, 0, 24, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 4]}
  • id: 6377369
    {'degree': 8, 'field': [1681, 0, -856, 0, 171, 0, -16, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 4]}
  • id: 6377370
    {'degree': 8, 'field': [2025, -900, -450, 160, 104, -8, -2, -4, 1], 'lmfdb_label': '141120.pw1', 'torsion': [12]}
  • id: 6377372
    {'degree': 12, 'field': [36, 0, 0, 0, 0, 0, -660, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 6]}
  • id: 6377371
    {'degree': 12, 'field': [4231249, 12342, 30891, -82370, 30960, 12222, -3975, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '141120.pw1', 'torsion': [3, 6]}
  • id: 6377375
    {'degree': 16, 'field': [6945, -16800, 52366, -65168, 19498, 10624, 4846, -7052, 1635, 12, 90, -92, 76, -56, 28, -8, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 12]}
  • id: 6377373
    {'degree': 16, 'field': [893025, 0, -2948400, 0, 2719840, 0, 977080, 0, 378146, 0, -67184, 0, 4016, 0, -104, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [8]}
  • id: 6377374
    {'degree': 16, 'field': [9703225, 0, -5595016, 0, 1699474, 0, -301252, 0, 37423, 0, -3028, 0, 202, 0, -4, 0, 1], 'lmfdb_label': '141120.pw1', 'torsion': [2, 12]}
  • id: 6377376
    {'degree': 18, 'field': [10808627375, -5789715750, 7621237575, -1761644010, 517668165, -195359850, 29103726, 20663370, 9144846, 621600, -23175, 3780, 3585, 6930, 1215, -210, -54, 0, 1], 'lmfdb_label': '141120.pw1', '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: 3485875
    {'conductor': 141120, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '141120.pw1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3485876
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141120.pw1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3485877
    {'conductor': 141120, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '141120.pw1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3485878
    {'conductor': 141120, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141120.pw1', 'prime': 7, '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: 2581318
    {'adelic_gens': [[550, 837, 587, 428], [530, 837, 627, 428], [431, 828, 432, 827], [337, 12, 342, 73], [1, 0, 12, 1], [829, 12, 828, 13], [1, 6, 6, 37], [419, 0, 0, 839], [801, 662, 574, 439], [829, 838, 470, 429], [1, 12, 0, 1], [11, 2, 790, 831]], 'adelic_image': '840.96.1.?', 'conductor': 141120, 'lmfdb_label': '141120.pw1', 'prime': 0}
  • id: 545447
    {'conductor': 141120, 'elladic_image': '2.3.0.1', 'lmfdb_label': '141120.pw1', 'modell_image': '2B', 'prime': 2}
  • id: 545448
    {'conductor': 141120, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141120.pw1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141120.pw does not appear in ec_padic