Elliptic curve data - 54600.cr2

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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': '54600bb', 'Clabel': '54600bb3', 'Cnumber': 3, 'abc_quality': 0.9088512866246324, 'absD': 35986860000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -102408, 8672688], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 54600, 'degree': 491520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8818934524830794359786847469', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2, 4], 'jinv': [3711757787138, 1124589375], 'lmfdb_iso': '54600.cr', 'lmfdb_label': '54600.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4096, 71020], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0-4.c.1.2', '56.12.0.s.1', '104.12.0.?', '140.12.0.?', '280.24.0.?', '520.24.0.?', '728.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 18200], [5, 18, 2184], [7, 8, 7800], [13, 14, 4200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44178958075274604837917563562', 'prec': 103}, 'szpiro_ratio': 4.237684873882715, '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, 0, 0, 1, 0, 1, 0, 4, 0, 1, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, 1, 0, 1, 4, 1, -6, -4, -4, -10, 8, -6, -2, 4, 0, -2, -4, 10, -4, 12, -10, 0, 16, 6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 54600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '54600.cr', 'trace_hash': 197165791484506170}
• 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': '0.023195733804272815999468220203', 'prec': 107}, 'conductor': 54600, 'gens': [], 'heights': [], 'lmfdb_label': '54600.cr2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.33967409049420519725272470977', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7173927239536415780217976781965219037', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[263, 0, 1]], 'xcoord_integral_points': [263]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [3, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '54600.cr2'}
• ec_torsion_growth •

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

  
  
  • id: 2639820
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [4]}
  • id: 2639818
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [2, 2]}
  • id: 2639819
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [4]}
  • id: 2639821
    {'degree': 4, 'field': [1, 0, -12, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [2, 4]}
  • id: 2639825
    {'degree': 8, 'field': [-336675, 0, -31660, 0, 2010, 0, 0, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [6]}
  • id: 2639823
    {'degree': 8, 'field': [-1521, 42588, -36738, -11544, 5383, 464, -150, -4, 1], 'lmfdb_label': '54600.cr2', 'torsion': [8]}
  • id: 2639824
    {'degree': 8, 'field': [256, 0, 80, 0, 152, 0, 5, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [8]}
  • id: 2639822
    {'degree': 8, 'field': [25740, 25200, 12456, 2016, -176, -168, -4, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [2, 4]}
  • id: 2639828
    {'degree': 16, 'field': [245025, 3029400, 6653880, -11902680, -10637604, 14343768, 3795864, -5997120, -117587, 960424, -77324, -59144, 7006, 1288, -164, -8, 1], 'lmfdb_label': '54600.cr2', 'torsion': [2, 8]}
  • id: 2639827
    {'degree': 16, 'field': [13562406, 40060020, 65655734, 65616880, 42025083, 15726620, 2316326, -796320, -499627, -87780, 10762, 7280, 897, -140, -38, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [2, 8]}
  • id: 2639826
    {'degree': 16, 'field': [190854225, 278510400, 203212800, 113445360, 32429394, -1415736, -2878848, -828576, 75799, 63672, 14112, -672, -538, -168, 0, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [4, 4]}
  • id: 2639830
    {'degree': 16, 'field': [253191744, 0, -218153088, 0, 44573760, 0, -2348416, 0, 459200, 0, 11816, 0, 28, 0, -20, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [12]}
  • id: 2639829
    {'degree': 16, 'field': [120783356521, 0, -219711245032, 0, -3038478812, 0, -164975424, 0, -18863010, 0, -104424, 0, 9508, 0, -112, 0, 1], 'lmfdb_label': '54600.cr2', 'torsion': [2, 6]}
  • id: 2639831
    {'degree': 16, 'field': [725489987049, 0, 72652023312, 0, -9186545660, 0, -1239557856, 0, -20371650, 0, 1135696, 0, 10068, 0, 0, 0, 1], 'lmfdb_label': '54600.cr2', '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: 1311411
    {'conductor': 54600, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '54600.cr2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1311412
    {'conductor': 54600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54600.cr2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1311413
    {'conductor': 54600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '54600.cr2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1311414
    {'conductor': 54600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '54600.cr2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1311415
    {'conductor': 54600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '54600.cr2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2027015
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1368, 3193, 1393, 1440], [456, 2283, 1369, 1398], [7, 6, 3634, 3635], [2183, 3632, 1452, 3607], [561, 8, 2244, 33], [3633, 8, 3632, 9], [2084, 1, 1063, 6]], 'adelic_image': '3640.48.0.?', 'conductor': 54600, 'lmfdb_label': '54600.cr2', 'prime': 0}
  • id: 232965
    {'conductor': 54600, 'elladic_image': '4.6.0.1', 'lmfdb_label': '54600.cr2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 54600.cr does not appear in ec_padic