Elliptic curve data - 299880.bw4

Formats: - HTML - YAML - JSON - 2024-12-25T13:13:46.774804

• 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': '299880bw', 'Clabel': '299880bw3', 'Cnumber': 3, 'abc_quality': 1.000625309766843, 'absD': 9841662384750000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 14280, 'ainvs': [0, 0, 0, 2021397, -4643058602], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 299880, 'degree': 21233664, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9011020740579111284291439355', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 48, 'isogeny_degrees': [1, 2, 4], 'jinv': [10400706415004, 112060546875], 'lmfdb_iso': '299880.bw', 'lmfdb_label': '299880.bw4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 4584, -502884], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '28.12.0-4.c.1.1', '102.6.0.?', '120.12.0.?', '204.12.0.?', '680.12.0.?', '840.24.0.?', '1428.24.0.?', '2040.24.0.?', '4760.24.0.?', '14280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.803652289743922479827395114', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7497], [3, 6, 6664], [5, 6, 59976], [7, 26, 6120], [17, 18, 17640]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.80121820472957853899781817743', 'prec': 103}, 'szpiro_ratio': 4.602314666186051, '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, 4, 0, -6, 0, 0, 0, -1, 0, -4, 0], 'aplist': [0, 0, -1, 0, 4, -6, -1, -4, 8, 6, -4, 2, 6, -4, 4, -10, 12, -6, -4, 0, -14, -4, 16, 10, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 299880, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '299880.bw', 'trace_hash': 2034661230729885681}
• 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': '0.0030208889152254284960172424603', 'prec': 110}, 'conductor': 299880, 'gens': [[16328417, 67656639897, 62]], 'heights': [{'__RealLiteral__': 0, 'data': '13.803652289743922479827395114', 'prec': 100}], 'lmfdb_label': '299880.bw4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.063578722060945245092449338798', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0209485788444741640311154555337690031', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1274, 0, 1]], 'xcoord_integral_points': [1274]}
• lmfdb_label 299880.bw4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12692378
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [4]}
  • id: 12692377
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '299880.bw4', 'torsion': [2, 2]}
  • id: 12692379
    {'degree': 2, 'field': [357, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [4]}
  • id: 12692380
    {'degree': 4, 'field': [393, -12, 13, -2, 1], 'lmfdb_label': '299880.bw4', 'torsion': [2, 4]}
  • id: 12692384
    {'degree': 8, 'field': [-622, -480, 238, -34, -330, -74, -4, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [6]}
  • id: 12692382
    {'degree': 8, 'field': [1506, 672, -324, -654, 223, 122, -36, -4, 1], 'lmfdb_label': '299880.bw4', 'torsion': [8]}
  • id: 12692381
    {'degree': 8, 'field': [41836, 4048, -3616, -872, 457, -28, 14, -4, 1], 'lmfdb_label': '299880.bw4', 'torsion': [2, 4]}
  • id: 12692383
    {'degree': 8, 'field': [8059921, 0, -522512, 0, 22338, 0, -272, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [8]}
  • id: 12692389
    {'degree': 16, 'field': [3536541, 8564220, 3281640, -3886344, -1200168, 700140, -306960, -51576, 140690, -588, -22424, 448, 1740, -28, -64, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [12]}
  • id: 12692385
    {'degree': 16, 'field': [6584356, 0, -3891864, 0, 988072, 0, 112212, 0, 35085, 0, -864, 0, -134, 0, -12, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [4, 4]}
  • id: 12692388
    {'degree': 16, 'field': [39955041, 77078274, 76491646, 46555852, 30012796, 5446358, 4798706, -602716, 503934, -98850, 16758, 4616, -1168, 122, 34, -8, 1], 'lmfdb_label': '299880.bw4', 'torsion': [2, 6]}
  • id: 12692390
    {'degree': 16, 'field': [235716408, 133267248, 98699688, 96879888, 59961456, 25435656, 1420368, -2971800, -774672, -2772, 44520, 4476, -278, -228, -2, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [12]}
  • id: 12692386
    {'degree': 16, 'field': [2263951561, 0, 563966308, 0, 89781418, 0, 7794100, 0, 536011, 0, 19420, 0, 778, 0, -8, 0, 1], 'lmfdb_label': '299880.bw4', 'torsion': [2, 8]}
  • id: 12692387
    {'degree': 16, 'field': [9209714704, 1124342048, -410523264, -1445085488, 770121300, -67824408, 39439516, -12356744, 577977, 1556432, -195848, -60096, 7650, 1064, -132, -8, 1], 'lmfdb_label': '299880.bw4', 'torsion': [2, 8]}
• 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: 7428083
    {'conductor': 299880, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '299880.bw4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7428084
    {'conductor': 299880, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '299880.bw4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7428085
    {'conductor': 299880, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '299880.bw4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7428086
    {'conductor': 299880, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '299880.bw4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7428087
    {'conductor': 299880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '299880.bw4', 'prime': 17, 'reduction_type': -1, '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: 3550282
    {'adelic_gens': [[2857, 4088, 13468, 2073], [1, 0, 8, 1], [8159, 0, 0, 14279], [14273, 8, 14272, 9], [1, 8, 0, 1], [5363, 9436, 11522, 4341], [10459, 10458, 4858, 9955], [1, 4, 4, 17], [10088, 12243, 5285, 4082], [6796, 10199, 1337, 8154], [7, 6, 14274, 14275]], 'adelic_image': '14280.48.0.?', 'conductor': 299880, 'lmfdb_label': '299880.bw4', 'prime': 0}
  • id: 1057591
    {'conductor': 299880, 'elladic_image': '4.6.0.1', 'lmfdb_label': '299880.bw4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 299880.bw does not appear in ec_padic