Elliptic curve data - 65472.co1

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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': '65472cf', 'Clabel': '65472cf2', 'Cnumber': 2, 'abc_quality': 0.9528064535045487, 'absD': 11469236207616, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4092, 'ainvs': [0, 1, 0, -169697, -26962785], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 65472, 'degree': 294912, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6234198057759084088468328899', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 66, 'isogeny_degrees': [1, 2], 'jinv': [2061621066895417, 43751664], 'lmfdb_iso': '65472.co', 'lmfdb_label': '65472.co1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2652, 52330], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '124.6.0.?', '132.6.0.?', '4092.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.2412806476830864932936677590', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 31], [3, 4, 21824], [11, 12, 5952], [31, 32, 2112]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58369903493599044472098470771', 'prec': 103}, 'szpiro_ratio': 4.304923043718788, '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, 1, 0, 2, 0, 2, 0, 1, 0, -1, 0, 0, 0, 2, 0, 6, 0, -2, 0], 'aplist': [0, 1, 2, 2, -1, 0, 6, -2, -4, -6, -1, 10, -6, -4, -2, 4, -6, 0, -8, 6, -12, 16, 12, -8, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 65472, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '65472.co', 'trace_hash': 1770591694642830369}
• 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': '0.038896943233857070009212133981', 'prec': 107}, 'conductor': 65472, 'gens': [[23818, 3675375, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.2412806476830864932936677590', 'prec': 100}], 'lmfdb_label': '65472.co1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23522384960992237240949441148', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.219931460323085654421665558324825081', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-239, 0, 1]], 'xcoord_integral_points': [-239, 23818]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 5, 0], '17': [1, 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]}, 'iwp0': 0, 'lmfdb_label': '65472.co1'}
• ec_torsion_growth •

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

  
  
  • id: 3123498
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '65472.co1', 'torsion': [2, 2]}
  • id: 3123499
    {'degree': 4, 'field': [496, 0, 46, 0, 1], 'lmfdb_label': '65472.co1', 'torsion': [4]}
  • id: 3123502
    {'degree': 8, 'field': [-108, 0, -1062, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '65472.co1', 'torsion': [6]}
  • id: 3123501
    {'degree': 8, 'field': [324, 0, 6948, 0, 1573, 0, 76, 0, 1], 'lmfdb_label': '65472.co1', 'torsion': [2, 4]}
  • id: 3123500
    {'degree': 8, 'field': [50377, 39076, 14664, 13980, 4042, -60, -120, -4, 1], 'lmfdb_label': '65472.co1', 'torsion': [2, 4]}
  • id: 3123504
    {'degree': 16, 'field': [664402176, 0, -204979200, 0, 42504448, 0, 14004480, 0, -748128, 0, -173120, 0, -3648, 0, 0, 0, 1], 'lmfdb_label': '65472.co1', 'torsion': [2, 6]}
  • id: 3123503
    {'degree': 16, 'field': [1175666944, 0, -774053216, 0, 218791012, 0, -34479380, 0, 3338881, 0, -201290, 0, 7414, 0, -134, 0, 1], 'lmfdb_label': '65472.co1', 'torsion': [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: 1581331
    {'conductor': 65472, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '65472.co1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1581332
    {'conductor': 65472, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '65472.co1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1581333
    {'conductor': 65472, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '65472.co1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1581334
    {'conductor': 65472, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '65472.co1', 'prime': 31, '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: 2097506
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [2729, 4, 1366, 9], [1024, 3073, 3069, 1024], [4089, 4, 4088, 5], [1, 0, 4, 1], [3, 4, 8, 11], [1861, 4, 3722, 9], [2114, 1, 3035, 0]], 'adelic_image': '4092.12.0.?', 'conductor': 65472, 'lmfdb_label': '65472.co1', 'prime': 0}
  • id: 274233
    {'conductor': 65472, 'elladic_image': '2.3.0.1', 'lmfdb_label': '65472.co1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3341278
    {'lmfdb_iso': '65472.co', 'p': 5, 'prec': 20, 'unit': 4813552613532, 'val': 1}
  • id: 3341279
    {'lmfdb_iso': '65472.co', 'p': 7, 'prec': 20, 'unit': 4189169499361115, 'val': 1}
  • id: 3341283
    {'lmfdb_iso': '65472.co', 'p': 17, 'prec': 20, 'unit': 38600660341039159260950, 'val': 1}
  • id: 3341275
    {'lmfdb_iso': '65472.co', 'p': 19, 'prec': 20, 'unit': 322942070341394097875483, 'val': 1}
  • id: 3341288
    {'lmfdb_iso': '65472.co', 'p': 23, 'prec': 20, 'unit': 9642242997981983165577163, 'val': 1}
  • id: 3341292
    {'lmfdb_iso': '65472.co', 'p': 29, 'prec': 20, 'unit': 2065889349267761649819550977, 'val': 1}
  • id: 3341293
    {'lmfdb_iso': '65472.co', 'p': 37, 'prec': 20, 'unit': 190743874099962067372563477626, 'val': 1}
  • id: 3341280
    {'lmfdb_iso': '65472.co', 'p': 41, 'prec': 20, 'unit': 2620978479789024461982595277480, 'val': 1}
  • id: 3341281
    {'lmfdb_iso': '65472.co', 'p': 43, 'prec': 20, 'unit': 7249899537987891380474810647504, 'val': 1}
  • id: 3341291
    {'lmfdb_iso': '65472.co', 'p': 47, 'prec': 20, 'unit': 54220195083668896706304452973372, 'val': 1}
  • id: 3341285
    {'lmfdb_iso': '65472.co', 'p': 53, 'prec': 20, 'unit': 267570047841858400358320216020199, 'val': 1}
  • id: 3341286
    {'lmfdb_iso': '65472.co', 'p': 59, 'prec': 20, 'unit': 3695386123985065638601026573501272, 'val': 1}
  • id: 3341277
    {'lmfdb_iso': '65472.co', 'p': 67, 'prec': 20, 'unit': 43970965978292527721203643870304501, 'val': 1}
  • id: 3341290
    {'lmfdb_iso': '65472.co', 'p': 71, 'prec': 20, 'unit': 16265127533711398008926680035366104, 'val': 1}
  • id: 3341287
    {'lmfdb_iso': '65472.co', 'p': 73, 'prec': 20, 'unit': 65817755599012843076182031924703826, 'val': 1}
  • id: 3341282
    {'lmfdb_iso': '65472.co', 'p': 79, 'prec': 20, 'unit': 805574753478358310385591661729734025, 'val': 1}
  • id: 3341284
    {'lmfdb_iso': '65472.co', 'p': 83, 'prec': 20, 'unit': 666756151898973280050230290321177464, 'val': 1}
  • id: 3341289
    {'lmfdb_iso': '65472.co', 'p': 89, 'prec': 20, 'unit': 10335431711517489257916127216413627856, 'val': 1}
  • id: 3341276
    {'lmfdb_iso': '65472.co', 'p': 97, 'prec': 20, 'unit': 39833740230624196289069972658985423318, 'val': 1}