Elliptic curve data - 64192.bx1

Formats: - HTML - YAML - JSON - 2024-06-15T22:53:10.512365

• 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': '64192y', 'Clabel': '64192y1', 'Cnumber': 1, 'abc_quality': 0.8470896000492202, 'absD': 17879269376, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 118, 'ainvs': [0, 1, 0, -5665, 162367], 'analytic_rank': 1, 'bad_primes': [2, 17, 59], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 64192, 'degree': 73728, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.89228940773355571193979692102', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1], 'jinv': [-76711450249, 68204], 'lmfdb_iso': '64192.bx', 'lmfdb_label': '64192.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -88, 284], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['118.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4222461545577694402442311173', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14743136310636225218605126117', 'prec': 107}, 'szpiro_ratio': 3.39139502618051, '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, -5, 0, -2, 0, 2, 0, 4, 0, 1, 0, 1, 0, 7, 0], 'aplist': [0, 1, 1, -5, 2, 4, 1, 7, -2, 3, -4, 8, 5, -4, -8, -1, 1, -14, 10, 0, -16, 1, 6, -14, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 64192, 'isogeny_matrix': [[1]], 'lmfdb_iso': '64192.bx', 'trace_hash': 1890125377497801683}
• 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': '0.16786774941233125959743474089', 'prec': 103}, 'conductor': 64192, 'gens': [[42, 17, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4222461545577694402442311173', 'prec': 100}], 'lmfdb_label': '64192.bx1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.2202736299450324119106822372', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9421179107902916750581934181183186978', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [42]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '59': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '64192.bx1'}
• ec_torsion_growth •

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

  
  
  • id: 3068182
    {'degree': 3, 'field': [-1, 2, 0, 1], 'lmfdb_label': '64192.bx1', 'torsion': [2]}
  • id: 3068183
    {'degree': 6, 'field': [4, -14, 21, -15, 10, -3, 1], 'lmfdb_label': '64192.bx1', 'torsion': [2, 2]}
  • id: 3068184
    {'degree': 8, 'field': [-103788, 0, -16186, 0, -1116, 0, 0, 0, 1], 'lmfdb_label': '64192.bx1', 'torsion': [3]}
  • id: 3068185
    {'degree': 12, 'field': [-9158924, 0, -1723460, 0, 388545, 0, -12580, 0, -478, 0, 0, 0, 1], 'lmfdb_label': '64192.bx1', 'torsion': [4]}
• 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: 1550117
    {'conductor': 64192, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '64192.bx1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1550118
    {'conductor': 64192, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64192.bx1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1550119
    {'conductor': 64192, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '64192.bx1', 'prime': 59, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 0, 2, 1], [61, 2, 61, 3], [117, 2, 116, 3], [1, 1, 117, 0]], 'adelic_image': '118.2.0.?', 'conductor': 64192, 'lmfdb_label': '64192.bx1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3271381
    {'lmfdb_iso': '64192.bx', 'p': 5, 'prec': 20, 'unit': 31420963125587, 'val': -1}
  • id: 3271382
    {'lmfdb_iso': '64192.bx', 'p': 7, 'prec': 20, 'unit': 4025093397699816, 'val': 1}
  • id: 3271380
    {'lmfdb_iso': '64192.bx', 'p': 11, 'prec': 20, 'unit': 5876835017172059041, 'val': 1}
  • id: 3271387
    {'lmfdb_iso': '64192.bx', 'p': 13, 'prec': 20, 'unit': 564762534807564493249, 'val': 1}
  • id: 3271389
    {'lmfdb_iso': '64192.bx', 'p': 19, 'prec': 20, 'unit': 376180288428876571333563, 'val': 1}
  • id: 3271392
    {'lmfdb_iso': '64192.bx', 'p': 23, 'prec': 20, 'unit': 47846772237096077547819586, 'val': 1}
  • id: 3271386
    {'lmfdb_iso': '64192.bx', 'p': 29, 'prec': 20, 'unit': 5986417398656289919147084538, 'val': 1}
  • id: 3271383
    {'lmfdb_iso': '64192.bx', 'p': 31, 'prec': 20, 'unit': 18427752274878272403841389316, 'val': 1}
  • id: 3271397
    {'lmfdb_iso': '64192.bx', 'p': 37, 'prec': 20, 'unit': 13207271955065683983610794976, 'val': 1}
  • id: 3271384
    {'lmfdb_iso': '64192.bx', 'p': 41, 'prec': 20, 'unit': 2097331017271910654652675774570, 'val': 1}
  • id: 3271385
    {'lmfdb_iso': '64192.bx', 'p': 43, 'prec': 20, 'unit': 4993447343640791399731394001999, 'val': 1}
  • id: 3271388
    {'lmfdb_iso': '64192.bx', 'p': 47, 'prec': 20, 'unit': 41063780230002106235594836895600, 'val': 1}
  • id: 3271390
    {'lmfdb_iso': '64192.bx', 'p': 53, 'prec': 20, 'unit': 456309181323557884960743766206990, 'val': 1}
  • id: 3271395
    {'lmfdb_iso': '64192.bx', 'p': 61, 'prec': 20, 'unit': 5249493836591189000801845215584809, 'val': 1}
  • id: 3271379
    {'lmfdb_iso': '64192.bx', 'p': 67, 'prec': 20, 'unit': 34822306643506871330966552579252677, 'val': 1}
  • id: 3271391
    {'lmfdb_iso': '64192.bx', 'p': 73, 'prec': 20, 'unit': 93196894049794454800583443931317253, 'val': 1}
  • id: 3271394
    {'lmfdb_iso': '64192.bx', 'p': 79, 'prec': 20, 'unit': 81526128845383059772127426962263201476, 'val': -1}
  • id: 3271396
    {'lmfdb_iso': '64192.bx', 'p': 83, 'prec': 20, 'unit': 2143673292499268091893454840184086632, 'val': 1}
  • id: 3271393
    {'lmfdb_iso': '64192.bx', 'p': 89, 'prec': 20, 'unit': 10298020032416979457457267205442109527, 'val': 1}
  • id: 3271378
    {'lmfdb_iso': '64192.bx', 'p': 97, 'prec': 20, 'unit': 4814474575182292152031464207927975147, 'val': 1}