Elliptic curve data - 118976.bf3

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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
  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': '118976cb', 'Clabel': '118976cb1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 3398073536, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 28600, 'ainvs': [0, -1, 0, -225, -3017], 'analytic_rank': 0, 'bad_primes': [2, 11, 13], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 118976, 'degree': 34560, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.51631947167528777074596585344', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '118976.bf', 'lmfdb_label': '118976.bf3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': -104, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '275.300.12.?', '520.24.0.?', '550.600.37.?', '2600.120.0.?', '5720.48.1.?', '28600.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1859], [11, 12, 10816], [13, 86, 704]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 2.5324855037757565, '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, 0, -1, 0, 1, 0, -2, 0, -2, 0, -1, 0, 0, 0, -1, 0, -2, 0, 0, 0], 'aplist': [0, -1, 1, -2, -1, 0, -2, 0, 1, 0, 7, 3, 8, -6, 8, 6, -5, -12, 7, -3, -4, 10, 6, -15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 118976, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '118976.bf', 'trace_hash': 1690294901275343926}
• 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': '0.35606608143383833032846282920', 'prec': 103}, 'conductor': 118976, 'gens': [], 'heights': [], 'lmfdb_label': '118976.bf3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.57219495357867675811768083724', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1443899071573535162353616744703562590', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [4, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0, 0], '23': [2, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '118976.bf3'}
• ec_torsion_growth •

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

  
  
  • id: 5447481
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '118976.bf3', 'torsion': [5]}
  • id: 5447482
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '118976.bf3', 'torsion': [2]}
  • id: 5447483
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '118976.bf3', 'torsion': [2, 2]}
  • id: 5447484
    {'degree': 6, 'field': [4394, 0, 0, 0, -26, 0, 1], 'lmfdb_label': '118976.bf3', 'torsion': [10]}
  • id: 5447485
    {'degree': 8, 'field': [-1370928, 0, -333944, 0, -4056, 0, 0, 0, 1], 'lmfdb_label': '118976.bf3', 'torsion': [3]}
  • id: 5447486
    {'degree': 10, 'field': [16510339, -1100690, 2652783, -145054, 180115, -7676, 6464, -194, 123, -2, 1], 'lmfdb_label': '118976.bf3', 'torsion': [25]}
  • id: 5447487
    {'degree': 12, 'field': [-12840493, -5750032, 1655910, -752660, 312747, 22520, 19334, 2364, -69, -276, 4, -4, 1], 'lmfdb_label': '118976.bf3', 'torsion': [4]}
  • id: 5447488
    {'degree': 12, 'field': [26245129, -11198878, 1958273, 439286, -410682, 58066, 10707, -4698, 638, 146, -47, -2, 1], 'lmfdb_label': '118976.bf3', 'torsion': [2, 10]}
  • id: 5447489
    {'degree': 16, 'field': [227082256779, -68532691710, 77649596177, -18929179342, 11236193126, -2219833616, 899517577, -142952264, 43594911, -5453658, 1309515, -123200, 23779, -1526, 238, -8, 1], 'lmfdb_label': '118976.bf3', 'torsion': [15]}
  • id: 5447490
    {'degree': 20, 'field': [608324839538799241, 60688032455342256, -99545277244322936, -10376500599248304, 7384300520947384, 762934339303068, -327109339754784, -31789871976216, 9572631307446, 830353639784, -192877410026, -14152077608, 2700994568, 157873932, -25895472, -1113708, 162468, 4512, -602, -8, 1], 'lmfdb_label': '118976.bf3', 'torsion': [5]}
• 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: 2929736
    {'conductor': 118976, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '118976.bf3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2929737
    {'conductor': 118976, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '118976.bf3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2929738
    {'conductor': 118976, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '118976.bf3', 'prime': 13, '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: 2441344
    {'adelic_gens': [[14299, 0, 0, 28599], [11038, 17641, 22191, 15939], [13716, 15405, 22035, 26586], [28551, 50, 28550, 51], [1, 50, 0, 1], [26716, 20345, 377, 287], [38, 41, 26041, 25839], [21449, 0, 0, 28599], [1, 0, 50, 1], [8799, 0, 0, 28599], [3899, 17550, 3900, 17549]], 'adelic_image': '28600.1200.37.?', 'conductor': 118976, 'lmfdb_label': '118976.bf3', 'prime': 0}
  • id: 468345
    {'conductor': 118976, 'elladic_image': '25.60.0.1', 'lmfdb_label': '118976.bf3', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 118976.bf does not appear in ec_padic