Elliptic curve data - 2496.p1

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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': '2496p', 'Clabel': '2496p1', 'Cnumber': 1, 'abc_quality': 1.037904102991589, 'absD': 132844188672, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 1, 0, -2605, 47219], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 2496, 'degree': 3840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88295914252769068363078833141', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2], 'jinv': [1909913257984, 129730653], 'lmfdb_iso': '2496.p', 'lmfdb_label': '2496.p1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -651, 6228], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.20337571399893021702345126578', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 13], [3, 4, 64], [5, 2, 832], [13, 14, 192]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30533649206106959244976156353', 'prec': 97}, 'szpiro_ratio': 4.501092940312258, '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, -4, 0, 0, 0, 1, 0, 2, 0, 1, 0, -4, 0, 2, 0, -8, 0], 'aplist': [0, 1, -4, 0, 2, 1, 2, -8, 4, 6, -4, -6, -12, -4, -6, 2, 14, -10, 4, 2, -2, -8, -14, 0, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 2496, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '2496.p', 'trace_hash': 1688034190512306212}
• 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': '0.17102966037155525911607609267', 'prec': 97}, 'conductor': 2496, 'gens': [[14, 117, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.20337571399893021702345126578', 'prec': 97}], 'lmfdb_label': '2496.p1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0194039138474396958723049297', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1098299824804049140006758666043084056', 'prec': 127}, 'tamagawa_product': 60, 'torsion_generators': [[23, 0, 1]], 'xcoord_integral_points': [-58, -25, 14, 23, 35, 131]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [7, 0], '7': [1, 1, 0], '11': [1, 0], '13': [2, 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': '2496.p1'}
• ec_torsion_growth •

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

  
  
  • id: 128836
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '2496.p1', 'torsion': [2, 2]}
  • id: 128837
    {'degree': 4, 'field': [52, 0, -14, 0, 1], 'lmfdb_label': '2496.p1', 'torsion': [4]}
  • id: 128840
    {'degree': 8, 'field': [-3, 0, -10, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '2496.p1', 'torsion': [6]}
  • id: 128839
    {'degree': 8, 'field': [81, 0, -56, 0, -37, 0, 14, 0, 1], 'lmfdb_label': '2496.p1', 'torsion': [2, 4]}
  • id: 128838
    {'degree': 8, 'field': [144, 0, 24, 0, 16, 0, -2, 0, 1], 'lmfdb_label': '2496.p1', 'torsion': [2, 4]}
  • id: 128842
    {'degree': 16, 'field': [-16389, 53784, -10026, -65712, -14778, 39536, 11552, -12640, -5971, 3836, 1160, -656, -194, 112, 4, -8, 1], 'lmfdb_label': '2496.p1', 'torsion': [2, 6]}
  • id: 128841
    {'degree': 16, 'field': [1, 0, 10, 0, 115, 0, 370, 0, 529, 0, 370, 0, 115, 0, 10, 0, 1], 'lmfdb_label': '2496.p1', '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: 43074
    {'conductor': 2496, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2496.p1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 43075
    {'conductor': 2496, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '2496.p1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 43076
    {'conductor': 2496, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2496.p1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1680260
    {'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 2496, 'lmfdb_label': '2496.p1', 'prime': 0}
  • id: 12470
    {'conductor': 2496, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2496.p1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 77295
    {'lmfdb_iso': '2496.p', 'p': 5, 'prec': 20, 'unit': 57597695498842, 'val': -1}
  • id: 77302
    {'lmfdb_iso': '2496.p', 'p': 11, 'prec': 20, 'unit': 2304654731866087592, 'val': 1}
  • id: 77303
    {'lmfdb_iso': '2496.p', 'p': 17, 'prec': 20, 'unit': 109887813485578106627779, 'val': 1}
  • id: 77304
    {'lmfdb_iso': '2496.p', 'p': 19, 'prec': 20, 'unit': 1501831833834190059343569, 'val': 1}
  • id: 77308
    {'lmfdb_iso': '2496.p', 'p': 23, 'prec': 20, 'unit': 58903904317697448393057184, 'val': 1}
  • id: 77300
    {'lmfdb_iso': '2496.p', 'p': 29, 'prec': 20, 'unit': 5678025763953723861578492840, 'val': 1}
  • id: 77297
    {'lmfdb_iso': '2496.p', 'p': 31, 'prec': 20, 'unit': 599065140640055932350637788, 'val': 1}
  • id: 77311
    {'lmfdb_iso': '2496.p', 'p': 37, 'prec': 20, 'unit': 293140913362593517700083105765, 'val': 1}
  • id: 77298
    {'lmfdb_iso': '2496.p', 'p': 41, 'prec': 20, 'unit': 2363955215708423596954547219164, 'val': 1}
  • id: 77299
    {'lmfdb_iso': '2496.p', 'p': 43, 'prec': 20, 'unit': 4658378099278425347077845708068, 'val': 1}
  • id: 77309
    {'lmfdb_iso': '2496.p', 'p': 47, 'prec': 20, 'unit': 38587075839106215395367739851093, 'val': 1}
  • id: 77305
    {'lmfdb_iso': '2496.p', 'p': 53, 'prec': 20, 'unit': 167977826087609105921177799988710, 'val': 1}
  • id: 77306
    {'lmfdb_iso': '2496.p', 'p': 59, 'prec': 20, 'unit': 1823365372807078923366088241338034, 'val': 1}
  • id: 77310
    {'lmfdb_iso': '2496.p', 'p': 61, 'prec': 20, 'unit': 2586766661886860851830816537774981, 'val': 1}
  • id: 77294
    {'lmfdb_iso': '2496.p', 'p': 67, 'prec': 20, 'unit': 49538992710847598679953197803225839, 'val': 1}
  • id: 77296
    {'lmfdb_iso': '2496.p', 'p': 71, 'prec': 20, 'unit': 104917494030806735448966609362489027, 'val': 1}
  • id: 77307
    {'lmfdb_iso': '2496.p', 'p': 73, 'prec': 20, 'unit': 29042462541124691235396353429913605, 'val': 1}
  • id: 77301
    {'lmfdb_iso': '2496.p', 'p': 79, 'prec': 20, 'unit': 117377037549556053653502538147184357, 'val': 1}
  • id: 77293
    {'lmfdb_iso': '2496.p', 'p': 83, 'prec': 20, 'unit': 2585293634420189126108095815681924568, 'val': 1}
  • id: 77292
    {'lmfdb_iso': '2496.p', 'p': 97, 'prec': 20, 'unit': 39678506458052621599329872733837069380, 'val': 1}