Elliptic curve data - 60552.b2

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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': '60552b', 'Clabel': '60552b1', 'Cnumber': 1, 'abc_quality': 0.7305691403119093, 'absD': 347678018959408128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 696, 'ainvs': [0, 0, 0, 158949, -14487066], 'analytic_rank': 1, 'bad_primes': [2, 3, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 60552, 'degree': 564480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0538294488487377081958368370', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [37044, 29], 'lmfdb_iso': '60552.b', 'lmfdb_label': '60552.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 189, -594], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '174.6.0.?', '232.6.0.?', '696.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.3304605187149878610577303342', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2523], [3, 2, 6728], [29, 450, 72]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0314003331122026651232598748', 'prec': 103}, 'szpiro_ratio': 4.317637459050256, '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, -2, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, -2, -4, 0, 2, 6, 0, 4, 0, -6, -4, 6, -4, 0, 2, -2, 0, 12, 0, -14, -10, 6, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 60552, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '60552.b', 'trace_hash': 581142992234162117}
• 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': '0.016446231803661165410212813276', 'prec': 107}, 'conductor': 60552, 'gens': [[77575, 24933968, 11]], 'heights': [{'__RealLiteral__': 0, 'data': '6.3304605187149878610577303342', 'prec': 100}], 'lmfdb_label': '60552.b2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16879650009176924735625179397', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2742383181128641828398917537739788367', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[87, 0, 1]], 'xcoord_integral_points': [87]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 3, 0], '23': [1, 0], '29': 'a', '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '60552.b2'}
• ec_torsion_growth •

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

  
  
  • id: 2904105
    {'degree': 2, 'field': [22, -1, 1], 'lmfdb_label': '60552.b2', 'torsion': [2, 2]}
  • id: 2904106
    {'degree': 4, 'field': [-5, -2, 3, -2, 1], 'lmfdb_label': '60552.b2', 'torsion': [4]}
  • id: 2904109
    {'degree': 8, 'field': [312, -744, 352, 168, 24, -96, -18, 0, 1], 'lmfdb_label': '60552.b2', 'torsion': [6]}
  • id: 2904107
    {'degree': 8, 'field': [2026, 1378, 847, 544, 154, 34, 22, -2, 1], 'lmfdb_label': '60552.b2', 'torsion': [2, 4]}
  • id: 2904108
    {'degree': 8, 'field': [6084, 0, 684, 0, 237, 0, -18, 0, 1], 'lmfdb_label': '60552.b2', 'torsion': [2, 4]}
  • id: 2904110
    {'degree': 16, 'field': [-61631, -26120, -67288, -27600, 2760, 84224, 69952, 23800, 6961, -4896, -2124, 64, 78, 48, 4, -8, 1], 'lmfdb_label': '60552.b2', 'torsion': [8]}
  • id: 2904111
    {'degree': 16, 'field': [484416, 0, 0, 0, 121104, 0, 12876, 0, 7221, 0, 696, 0, 178, 0, 4, 0, 1], 'lmfdb_label': '60552.b2', '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: 1458249
    {'conductor': 60552, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '60552.b2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1458250
    {'conductor': 60552, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '60552.b2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1458251
    {'conductor': 60552, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '60552.b2', 'prime': 29, 'reduction_type': 0, '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: 2065455
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [410, 1, 143, 0], [1, 4, 0, 1], [265, 436, 608, 87], [349, 4, 2, 9], [236, 1, 463, 0], [693, 4, 692, 5]], 'adelic_image': '696.12.0.?', 'conductor': 60552, 'lmfdb_label': '60552.b2', 'prime': 0}
  • id: 255510
    {'conductor': 60552, 'elladic_image': '2.3.0.1', 'lmfdb_label': '60552.b2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3076683
    {'lmfdb_iso': '60552.b', 'p': 5, 'prec': 20, 'unit': 17912644541788, 'val': 1}
  • id: 3076684
    {'lmfdb_iso': '60552.b', 'p': 7, 'prec': 20, 'unit': 3636784655193862, 'val': 1}
  • id: 3076688
    {'lmfdb_iso': '60552.b', 'p': 13, 'prec': 20, 'unit': 1025179625890824893444, 'val': 1}
  • id: 3076690
    {'lmfdb_iso': '60552.b', 'p': 17, 'prec': 20, 'unit': 23698032016174753578116, 'val': 1}
  • id: 3076694
    {'lmfdb_iso': '60552.b', 'p': 23, 'prec': 20, 'unit': 36160888773360903362780207, 'val': 1}
  • id: 3076685
    {'lmfdb_iso': '60552.b', 'p': 31, 'prec': 20, 'unit': 18136042950634717047604841282, 'val': 1}
  • id: 3076697
    {'lmfdb_iso': '60552.b', 'p': 37, 'prec': 20, 'unit': 553410686999753749605819434428, 'val': 1}
  • id: 3076686
    {'lmfdb_iso': '60552.b', 'p': 41, 'prec': 20, 'unit': 3442116887665040917545510011924, 'val': 1}
  • id: 3076687
    {'lmfdb_iso': '60552.b', 'p': 43, 'prec': 20, 'unit': 3021354566262463471109649162896, 'val': 1}
  • id: 3076692
    {'lmfdb_iso': '60552.b', 'p': 53, 'prec': 20, 'unit': 260315044379317935593378450410453, 'val': 1}
  • id: 3076696
    {'lmfdb_iso': '60552.b', 'p': 59, 'prec': 20, 'unit': 2947609625960866956373723507741754, 'val': 1}
  • id: 3076682
    {'lmfdb_iso': '60552.b', 'p': 67, 'prec': 20, 'unit': 26804295472697503977297045305033437, 'val': 1}
  • id: 3076693
    {'lmfdb_iso': '60552.b', 'p': 73, 'prec': 20, 'unit': 25612500557205920953339337290497255, 'val': 1}
  • id: 3076689
    {'lmfdb_iso': '60552.b', 'p': 79, 'prec': 20, 'unit': 673839537746580914306704288472968714, 'val': 1}
  • id: 3076691
    {'lmfdb_iso': '60552.b', 'p': 83, 'prec': 20, 'unit': 1879660779847276000550122103943201549, 'val': 1}
  • id: 3076695
    {'lmfdb_iso': '60552.b', 'p': 89, 'prec': 20, 'unit': 1949754518992885766987673857498535693, 'val': 1}
  • id: 3076681
    {'lmfdb_iso': '60552.b', 'p': 97, 'prec': 20, 'unit': 14252578026992780650469241932471111923, 'val': 1}