Elliptic curve data - 4560.ba3

Formats: - HTML - YAML - JSON - 2024-04-24T06:24:03.589855

• 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': '4560j', 'Clabel': '4560j2', 'Cnumber': 2, 'abc_quality': 0.8579218030484116, 'absD': 83174400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -160, -700], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4560, 'degree': 1536, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.23836985254068697450399477565', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2], 'jinv': [445138564, 81225], 'lmfdb_iso': '4560.ba', 'lmfdb_label': '4560.ba3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -160, 700], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0-2.a.1.1', '76.12.0.?', '120.24.0.?', '380.24.0.?', '456.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33925279792593411667703199223', 'prec': 107}, 'szpiro_ratio': 3.1863643621673634, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, 1, 0, 0, 0, 1, 0, -4, 0, 2, 0, 1, 0, 6, 0, 1, 0], 'aplist': [0, 1, 1, 0, -4, 2, 6, 1, 4, -10, -4, 10, 6, 0, 12, 10, 0, -10, -4, 0, 10, -4, -12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 4560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4560.ba', 'trace_hash': 935515592988020349}
• 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': '0.62080410041725462870068904018', 'prec': 103}, 'conductor': 4560, 'gens': [], 'heights': [], 'lmfdb_label': '4560.ba3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3585275350186143663484840023', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7170550700372287326969680045592488459', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-5, 0, 1], [14, 0, 1]], 'xcoord_integral_points': [-10, -5, 14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '4560.ba3'}
• ec_torsion_growth •

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

  
  
  • id: 237651
    {'degree': 4, 'field': [36, 0, 7, 0, 1], 'lmfdb_label': '4560.ba3', 'torsion': [2, 4]}
  • id: 237652
    {'degree': 4, 'field': [81, 0, -12, 0, 1], 'lmfdb_label': '4560.ba3', 'torsion': [2, 4]}
  • id: 237650
    {'degree': 4, 'field': [169, 0, -50, 0, 1], 'lmfdb_label': '4560.ba3', 'torsion': [2, 4]}
  • id: 237653
    {'degree': 8, 'field': [-3888, 0, -1008, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '4560.ba3', 'torsion': [2, 6]}
  • id: 237654
    {'degree': 16, 'field': [1368900, 0, -2880360, 0, 1572336, 0, 27972, 0, -2171, 0, -4144, 0, 474, 0, -28, 0, 1], 'lmfdb_label': '4560.ba3', 'torsion': [4, 4]}
  • id: 237656
    {'degree': 16, 'field': [6682775, -6148400, 8022750, -3997600, 2680290, -991380, 643470, -317360, 144531, -49628, 16398, -3936, 1020, -196, 48, -8, 1], 'lmfdb_label': '4560.ba3', 'torsion': [2, 8]}
  • id: 237657
    {'degree': 16, 'field': [43046721, 0, -25509168, 0, 8188128, 0, -454896, 0, 10530, 0, -5616, 0, 1248, 0, -48, 0, 1], 'lmfdb_label': '4560.ba3', 'torsion': [2, 8]}
  • id: 237655
    {'degree': 16, 'field': [269485056, 0, -179656704, 0, 26002944, 0, -3414528, 0, 506880, 0, -44352, 0, 2544, 0, -96, 0, 1], 'lmfdb_label': '4560.ba3', '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: 86924
    {'conductor': 4560, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '4560.ba3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 86925
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.ba3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 86926
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.ba3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 86927
    {'conductor': 4560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4560.ba3', 'prime': 19, 'reduction_type': 1, '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: 1693636
    {'adelic_gens': [[1707, 2276, 1138, 2277], [761, 4, 1522, 9], [1921, 2, 0, 1], [1, 4, 0, 1], [2277, 4, 2276, 5], [1371, 2, 1366, 2279], [1141, 4, 2, 9], [1, 0, 4, 1]], 'adelic_image': '2280.48.0.?', 'conductor': 4560, 'lmfdb_label': '4560.ba3', 'prime': 0}
  • id: 22615
    {'conductor': 4560, 'elladic_image': '2.6.0.1', 'lmfdb_label': '4560.ba3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 4560.ba does not appear in ec_padic