Elliptic curve data - 54600.bl3

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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': '54600t', 'Clabel': '54600t3', 'Cnumber': 3, 'abc_quality': 0.932414050605158, 'absD': 1133586090000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 10920, 'ainvs': [0, 1, 0, -343008, 57805488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 54600, 'degree': 786432, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1739856239606380088429497364', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2, 4], 'jinv': [278944461825124, 70849130625], 'lmfdb_iso': '54600.bl', 'lmfdb_label': '54600.bl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13720, 467932], 'min_quad_twist_disc': 5, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '20.24.0-4.b.1.1', '24.24.0-4.b.1.7', '56.24.0.e.1', '104.24.0.?', '120.48.0.?', '168.48.0.?', '280.48.0.?', '312.48.0.?', '520.48.0.?', '728.48.0.?', '840.96.0.?', '1560.96.0.?', '2184.96.0.?', '3640.96.0.?', '10920.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 18200], [5, 18, 2184], [7, 8, 7800], [13, 14, 4200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.79164401727696673036154330191', 'prec': 103}, 'szpiro_ratio': 4.570140874327264, '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, 0, 0, -1, 0, 1, 0, -4, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 1, 0, -1, -4, -1, -2, 4, 0, 6, -8, 10, -6, 4, 8, -6, 12, -2, 12, -8, -10, 8, -4, -6, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 54600, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '54600.bl', 'trace_hash': 1634088208515513026}
• 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': '0.012933023882458790598317160782', 'prec': 107}, 'conductor': 54600, 'gens': [], 'heights': [], 'lmfdb_label': '54600.bl3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25741749094777748468996035295', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0593399275822198775196828235862761122', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[188, 0, 1], [468, 0, 1]], 'xcoord_integral_points': [-657, 188, 468]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [0, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '54600.bl3'}
• ec_torsion_growth •

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

  
  
  • id: 2639531
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 4]}
  • id: 2639532
    {'degree': 4, 'field': [155, 30, -29, -2, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 4]}
  • id: 2639533
    {'degree': 4, 'field': [239, -26, 27, -2, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 4]}
  • id: 2639537
    {'degree': 8, 'field': [-1875, 0, -391000, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 6]}
  • id: 2639535
    {'degree': 8, 'field': [1080, -3600, 4674, -2214, 1273, -202, 72, -4, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 8]}
  • id: 2639534
    {'degree': 8, 'field': [2745, -1260, -484, 56, 109, -28, 6, 0, 1], 'lmfdb_label': '54600.bl3', 'torsion': [4, 4]}
  • id: 2639536
    {'degree': 8, 'field': [11025, 0, -240, 0, 271, 0, -32, 0, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 8]}
  • id: 2639538
    {'degree': 16, 'field': [-184239, 720504, -509580, -270480, -195482, 264936, 126336, -172360, 25943, 15560, -7336, 2408, -462, 0, 20, -8, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 8]}
  • id: 2639540
    {'degree': 16, 'field': [230068224, 0, 150331392, 0, 21104640, 0, -2008576, 0, -357760, 0, 13376, 0, 688, 0, 40, 0, 1], 'lmfdb_label': '54600.bl3', 'torsion': [2, 12]}
  • id: 2639539
    {'degree': 16, 'field': [3021231249, -1096894752, 1335430372, -481070632, 251607610, -16403992, 10999592, -5428048, 2247827, -645144, 181688, -30512, 6602, -728, 124, -8, 1], 'lmfdb_label': '54600.bl3', '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: 1311291
    {'conductor': 54600, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '54600.bl3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1311292
    {'conductor': 54600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '54600.bl3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1311293
    {'conductor': 54600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '54600.bl3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1311294
    {'conductor': 54600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54600.bl3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1311295
    {'conductor': 54600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '54600.bl3', 'prime': 13, '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: 2026929
    {'adelic_gens': [[4201, 4, 0, 1], [3641, 8, 3644, 33], [1, 0, 8, 1], [10913, 8, 10912, 9], [7, 6, 7794, 10915], [7, 2732, 10902, 8185], [3, 8198, 8182, 10899], [2183, 10912, 8732, 10887], [5, 4, 10916, 10917], [1, 8, 0, 1]], 'adelic_image': '10920.192.1.?', 'conductor': 54600, 'lmfdb_label': '54600.bl3', 'prime': 0}
  • id: 232888
    {'conductor': 54600, 'elladic_image': '4.12.0.3', 'lmfdb_label': '54600.bl3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 54600.bl does not appear in ec_padic