Elliptic curve data - 54760.e1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '54760c', 'Clabel': '54760c4', 'Cnumber': 4, 'abc_quality': 1.1363232938776144, 'absD': 13136519214080, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 2960, 'ainvs': [0, 0, 0, -146483, -21578178], 'analytic_rank': 0, 'bad_primes': [2, 5, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54760, 'degree': 202752, 'elladic_images': ['16.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6032451743259223094455678993', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4], 'jinv': [132304644, 5], 'lmfdb_iso': '54760.e', 'lmfdb_label': '54760.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -107, -426], 'min_quad_twist_disc': 37, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '10.6.0.a.1', '16.24.0.i.1', '20.12.0.g.1', '40.48.0.bq.1', '80.96.3.?', '148.12.0.?', '296.24.0.?', '592.48.0.?', '740.24.0.?', '1480.96.0.?', '2960.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77983643246281100391950670410', 'prec': 107}, 'szpiro_ratio': 4.334967580105837, '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, -4, 0, -3, 0, 4, 0, 2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, -1, -4, 4, 2, -2, -4, -4, 2, 8, 0, -6, 8, 4, 6, 4, 2, 8, 0, -6, 0, -16, 6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 54760, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '54760.e', 'trace_hash': 1087657261399091416}
• 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': '0.040498499754608411893788618497', 'prec': 107}, 'conductor': 54760, 'gens': [], 'heights': [], 'lmfdb_label': '54760.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24403590737408092446204532720', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.97614362949632369784818130881733298159', 'prec': 133}, 'tamagawa_product': 4, 'torsion_generators': [[-222, 0, 1]], 'xcoord_integral_points': [-222]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '37': 'a'}, 'iwp0': 3, 'lmfdb_label': '54760.e1'}
• ec_torsion_growth •

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

  
  
  • id: 2648584
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '54760.e1', 'torsion': [2, 2]}
  • id: 2648585
    {'degree': 2, 'field': [37, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [4]}
  • id: 2648586
    {'degree': 2, 'field': [185, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [4]}
  • id: 2648587
    {'degree': 4, 'field': [1481, -72, 73, -2, 1], 'lmfdb_label': '54760.e1', 'torsion': [2, 4]}
  • id: 2648591
    {'degree': 8, 'field': [-123980, -207376, 63964, -12988, 2500, -112, 4, -4, 1], 'lmfdb_label': '54760.e1', 'torsion': [6]}
  • id: 2648588
    {'degree': 8, 'field': [2981, 5156, -4710, -856, 339, 104, -30, -4, 1], 'lmfdb_label': '54760.e1', 'torsion': [2, 4]}
  • id: 2648589
    {'degree': 8, 'field': [5393, -3050, 3638, -1218, 715, -130, 48, -4, 1], 'lmfdb_label': '54760.e1', 'torsion': [8]}
  • id: 2648590
    {'degree': 8, 'field': [3094081, 0, 228112, 0, 7614, 0, 128, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [2, 8]}
  • id: 2648595
    {'degree': 16, 'field': [5579741, 12487020, 9588206, 6284160, 8339510, 2792240, 3002094, 309320, 644319, 2080, 67614, -680, 3620, -20, 96, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [16]}
  • id: 2648594
    {'degree': 16, 'field': [32356549, 28053788, -16593590, -20065768, 3348238, 6799768, -358518, -1386616, 52583, 170168, -9222, -12192, 940, 476, -48, -8, 1], 'lmfdb_label': '54760.e1', 'torsion': [16]}
  • id: 2648592
    {'degree': 16, 'field': [57471561, 0, 33752056, 0, 13862290, 0, 3305924, 0, 495779, 0, 45524, 0, 2510, 0, 76, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [4, 4]}
  • id: 2648593
    {'degree': 16, 'field': [57603124, -9119296, 44821272, -8720008, 17502262, -3970816, 4200040, -928270, 620861, -116402, 55354, -7926, 2888, -278, 82, -4, 1], 'lmfdb_label': '54760.e1', 'torsion': [2, 8]}
  • id: 2648597
    {'degree': 16, 'field': [10102564774, -13931137612, 8996290820, -3864924912, 1167478682, -242380424, 38972182, -3761988, -377420, 267492, -59072, 6218, 1094, -342, 92, -8, 1], 'lmfdb_label': '54760.e1', 'torsion': [12]}
  • id: 2648596
    {'degree': 16, 'field': [122172130881, -53651980080, -29401612686, 12116817684, -1810729692, 157115916, 159430608, -42025536, 8117589, -944772, 81132, -10092, 3768, -432, 6, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [2, 6]}
  • id: 2648598
    {'degree': 16, 'field': [301618443204, 0, 2959009704, 0, 2138245020, 0, 194174712, 0, 6293400, 0, 125952, 0, 4092, 0, 0, 0, 1], 'lmfdb_label': '54760.e1', 'torsion': [12]}
• 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: 1315919
    {'conductor': 54760, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '54760.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1315920
    {'conductor': 54760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '54760.e1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1315921
    {'conductor': 54760, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '54760.e1', 'prime': 37, 'reduction_type': 0, '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: 2028175
    {'adelic_gens': [[2945, 16, 2944, 17], [2776, 1369, 1591, 186], [741, 2146, 592, 963], [1, 16, 0, 1], [479, 0, 0, 2959], [1, 8, 8, 65], [15, 166, 2674, 2755], [1, 0, 16, 1], [1407, 370, 2442, 1703]], 'adelic_image': '2960.192.3.?', 'conductor': 54760, 'lmfdb_label': '54760.e1', 'prime': 0}
  • id: 233730
    {'conductor': 54760, 'elladic_image': '16.24.0.15', 'lmfdb_label': '54760.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 54760.e does not appear in ec_padic