Elliptic curve data - 552.a2

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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': '552a', 'Clabel': '552a1', 'Cnumber': 1, 'abc_quality': 0.8943465414803567, 'absD': 17169408, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 552, 'ainvs': [0, -1, 0, -64, -260], 'analytic_rank': 1, 'bad_primes': [2, 3, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 552, 'degree': 96, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.090899313879564873943988908670', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-28756228, 16767], 'lmfdb_iso': '552.a', 'lmfdb_label': '552.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -64, -260], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '46.6.0.a.1', '552.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0809752956820595313657352804', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 23], [3, 4, 184], [23, 24, 24]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48672333658705621723703785921', 'prec': 107}, 'szpiro_ratio': 3.9284966695897743, '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, -2, 0, -2, 0, 2, 0, -4, 0, 0, 0], 'aplist': [0, -1, -2, 2, -2, -2, -4, 0, -1, -10, 0, -4, -6, -4, 8, -6, 4, 8, -4, 8, 6, 6, -6, -4, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 552, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '552.a', 'trace_hash': 1680501644986578901}
• 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': '0.83376922148837386065469601021', 'prec': 103}, 'conductor': 552, 'gens': [[18, 64, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0809752956820595313657352804', 'prec': 100}], 'lmfdb_label': '552.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.82085418637743602061594281480', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7081772832086413260250836179728889393', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[10, 0, 1]], 'xcoord_integral_points': [10, 18, 37]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '552.a2'}
• ec_torsion_growth •

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

  
  
  • id: 24904
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '552.a2', 'torsion': [2, 2]}
  • id: 24905
    {'degree': 4, 'field': [-5, -12, -4, 0, 1], 'lmfdb_label': '552.a2', 'torsion': [4]}
  • id: 24908
    {'degree': 8, 'field': [1, -4, 6, -2, -8, -2, 6, -4, 1], 'lmfdb_label': '552.a2', 'torsion': [6]}
  • id: 24907
    {'degree': 8, 'field': [36, 144, 270, 240, 127, 26, -1, -2, 1], 'lmfdb_label': '552.a2', 'torsion': [2, 4]}
  • id: 24906
    {'degree': 8, 'field': [246, -154, -31, 44, 20, 22, -2, -2, 1], 'lmfdb_label': '552.a2', 'torsion': [2, 4]}
  • id: 24909
    {'degree': 16, 'field': [-6044, 30784, -60448, 135824, -197104, 229088, -237480, 181536, -94136, 27648, -5016, 872, 176, -112, 44, -8, 1], 'lmfdb_label': '552.a2', 'torsion': [8]}
  • id: 24910
    {'degree': 16, 'field': [12024, -9792, 5904, -5352, -7304, -256, 5912, 9136, 6806, 2852, 1010, -74, -22, -58, 2, -2, 1], 'lmfdb_label': '552.a2', 'torsion': [2, 6]}
• 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: 6295
    {'conductor': 552, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '552.a2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6296
    {'conductor': 552, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '552.a2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6297
    {'conductor': 552, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '552.a2', 'prime': 23, '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: 1668304
    {'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [73, 484, 344, 207], [549, 4, 548, 5], [194, 1, 455, 0], [277, 4, 2, 9]], 'adelic_image': '552.12.0.?', 'conductor': 552, 'lmfdb_label': '552.a2', 'prime': 0}
  • id: 2475
    {'conductor': 552, 'elladic_image': '2.3.0.1', 'lmfdb_label': '552.a2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 8822
    {'lmfdb_iso': '552.a', 'p': 5, 'prec': 20, 'unit': 17775493088993, 'val': 1}
  • id: 8823
    {'lmfdb_iso': '552.a', 'p': 7, 'prec': 20, 'unit': 2449851213243662, 'val': 1}
  • id: 8821
    {'lmfdb_iso': '552.a', 'p': 11, 'prec': 20, 'unit': 45301455328294424387, 'val': 1}
  • id: 8827
    {'lmfdb_iso': '552.a', 'p': 13, 'prec': 20, 'unit': 1125670109332234077450, 'val': 1}
  • id: 8829
    {'lmfdb_iso': '552.a', 'p': 17, 'prec': 20, 'unit': 40132457254782239824036, 'val': 1}
  • id: 8826
    {'lmfdb_iso': '552.a', 'p': 29, 'prec': 20, 'unit': 175050504744462249928842371, 'val': 2}
  • id: 8838
    {'lmfdb_iso': '552.a', 'p': 37, 'prec': 20, 'unit': 547097842251849343228937347011, 'val': 1}
  • id: 8824
    {'lmfdb_iso': '552.a', 'p': 41, 'prec': 20, 'unit': 4254241040466805536508832727519, 'val': 1}
  • id: 8825
    {'lmfdb_iso': '552.a', 'p': 43, 'prec': 20, 'unit': 10601674351868933769109440486793, 'val': 1}
  • id: 8836
    {'lmfdb_iso': '552.a', 'p': 47, 'prec': 20, 'unit': 24060031121004614414911677412077, 'val': 1}
  • id: 8831
    {'lmfdb_iso': '552.a', 'p': 53, 'prec': 20, 'unit': 100288682824546297584967051401666, 'val': 1}
  • id: 8832
    {'lmfdb_iso': '552.a', 'p': 59, 'prec': 20, 'unit': 1873630102175014411445363414029859, 'val': 1}
  • id: 8837
    {'lmfdb_iso': '552.a', 'p': 61, 'prec': 20, 'unit': 7490768133704758790644601668228918, 'val': 1}
  • id: 8830
    {'lmfdb_iso': '552.a', 'p': 67, 'prec': 20, 'unit': 48925658849686417343172999383928379, 'val': 1}
  • id: 8835
    {'lmfdb_iso': '552.a', 'p': 71, 'prec': 20, 'unit': 59472478220129320123499118795660463, 'val': 1}
  • id: 8833
    {'lmfdb_iso': '552.a', 'p': 73, 'prec': 20, 'unit': 21673031424101350435048019963489833, 'val': 1}
  • id: 8828
    {'lmfdb_iso': '552.a', 'p': 79, 'prec': 20, 'unit': 910133864661245806365339437384220871, 'val': 1}
  • id: 8820
    {'lmfdb_iso': '552.a', 'p': 83, 'prec': 20, 'unit': 2813199004117259800809943085437150076, 'val': 1}
  • id: 8834
    {'lmfdb_iso': '552.a', 'p': 89, 'prec': 20, 'unit': 6327956313956040611119628798007027086, 'val': 1}
  • id: 8819
    {'lmfdb_iso': '552.a', 'p': 97, 'prec': 20, 'unit': 1700524747244764810455103943093348914, 'val': 1}