Elliptic curve data - 52800.gz2

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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': '52800hs', 'Clabel': '52800hs1', 'Cnumber': 1, 'abc_quality': 1.071660187560861, 'absD': 1254528000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -613, -5797], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52800, 'degree': 24576, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.50515865785064806363533007661', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 181, 'isogeny_degrees': [1, 2], 'jinv': [199344128, 9801], 'lmfdb_iso': '52800.gz', 'lmfdb_label': '52800.gz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -153, 648], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.e.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1331720511786468600240555756', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 17600], [5, 2, 2112], [11, 12, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.47482347072449812119588652458', 'prec': 107}, 'szpiro_ratio': 2.8388423995826657, '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, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 1, 0, 2, 1, 2, -6, 4, 0, -2, 8, 0, -2, -2, 8, -8, -8, -10, -8, 12, -14, -8, 6, -14, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 52800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52800.gz', 'trace_hash': 750182985635699948}
• 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': '0.36410342550512461817416650995', 'prec': 103}, 'conductor': 52800, 'gens': [[-13, 12, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1331720511786468600240555756', 'prec': 100}], 'lmfdb_label': '52800.gz2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.96227326117419637221775797427', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.7233693212730389438130748352937218125', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-17, 0, 1]], 'xcoord_integral_points': [-17, -13, 38]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '52800.gz2'}
• ec_torsion_growth •

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

  
  
  • id: 2558944
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '52800.gz2', 'torsion': [2, 2]}
  • id: 2558945
    {'degree': 4, 'field': [45, 0, 20, 0, 1], 'lmfdb_label': '52800.gz2', 'torsion': [4]}
  • id: 2558948
    {'degree': 8, 'field': [-874800, 0, 149850, 0, -3240, 0, 0, 0, 1], 'lmfdb_label': '52800.gz2', 'torsion': [6]}
  • id: 2558947
    {'degree': 8, 'field': [25, 0, -200, 0, 95, 0, -20, 0, 1], 'lmfdb_label': '52800.gz2', 'torsion': [2, 4]}
  • id: 2558946
    {'degree': 8, 'field': [625, 0, 1000, 0, 395, 0, 40, 0, 1], 'lmfdb_label': '52800.gz2', 'torsion': [2, 4]}
  • id: 2558949
    {'degree': 16, 'field': [1052676, 0, -1126528, 0, 464840, 0, -52768, 0, 11144, 0, -4112, 0, 580, 0, -32, 0, 1], 'lmfdb_label': '52800.gz2', 'torsion': [8]}
  • id: 2558950
    {'degree': 16, 'field': [86490000, 0, 593415000, 0, -154551500, 0, 11061000, 0, 79500, 0, -13500, 0, -780, 0, 0, 0, 1], 'lmfdb_label': '52800.gz2', '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: 1266804
    {'conductor': 52800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '52800.gz2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1266805
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '52800.gz2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1266806
    {'conductor': 52800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '52800.gz2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1266807
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '52800.gz2', 'prime': 11, '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: 2015147
    {'adelic_gens': [[1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [48, 1, 43, 0], [169, 56, 164, 55], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 52800, 'lmfdb_label': '52800.gz2', 'prime': 0}
  • id: 225927
    {'conductor': 52800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52800.gz2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2663416
    {'lmfdb_iso': '52800.gz', 'p': 7, 'prec': 20, 'unit': 8437307408237686, 'val': 1}
  • id: 2663420
    {'lmfdb_iso': '52800.gz', 'p': 13, 'prec': 20, 'unit': 1439771642204054951346, 'val': 1}
  • id: 2663422
    {'lmfdb_iso': '52800.gz', 'p': 17, 'prec': 20, 'unit': 125583487321155773934583, 'val': 1}
  • id: 2663423
    {'lmfdb_iso': '52800.gz', 'p': 19, 'prec': 20, 'unit': 1458865714981847720248167, 'val': 1}
  • id: 2663419
    {'lmfdb_iso': '52800.gz', 'p': 29, 'prec': 20, 'unit': 5588842106165930845196229031, 'val': 1}
  • id: 2663431
    {'lmfdb_iso': '52800.gz', 'p': 31, 'prec': 20, 'unit': 12182973043683062439243370839, 'val': 1}
  • id: 2663417
    {'lmfdb_iso': '52800.gz', 'p': 41, 'prec': 20, 'unit': 515955028037518091776213005990, 'val': 1}
  • id: 2663418
    {'lmfdb_iso': '52800.gz', 'p': 43, 'prec': 20, 'unit': 7778713458428235209277952070505, 'val': 1}
  • id: 2663429
    {'lmfdb_iso': '52800.gz', 'p': 47, 'prec': 20, 'unit': 3494449261715863413595285181532, 'val': 1}
  • id: 2663424
    {'lmfdb_iso': '52800.gz', 'p': 53, 'prec': 20, 'unit': 373848038675678026148155771862143, 'val': 1}
  • id: 2663425
    {'lmfdb_iso': '52800.gz', 'p': 59, 'prec': 20, 'unit': 369552254016014929694212970419779, 'val': 1}
  • id: 2663430
    {'lmfdb_iso': '52800.gz', 'p': 61, 'prec': 20, 'unit': 6106537002150742929442234902670112, 'val': 1}
  • id: 2663415
    {'lmfdb_iso': '52800.gz', 'p': 67, 'prec': 20, 'unit': 21174641150799265159552130365390720, 'val': 1}
  • id: 2663428
    {'lmfdb_iso': '52800.gz', 'p': 71, 'prec': 20, 'unit': 109875516347392740276600569054848112, 'val': 1}
  • id: 2663426
    {'lmfdb_iso': '52800.gz', 'p': 73, 'prec': 20, 'unit': 214796633091538599791454030716205559, 'val': 1}
  • id: 2663421
    {'lmfdb_iso': '52800.gz', 'p': 79, 'prec': 20, 'unit': 599432387622293964307220981011786587, 'val': 1}
  • id: 2663414
    {'lmfdb_iso': '52800.gz', 'p': 83, 'prec': 20, 'unit': 1343259969170482383745852257274323467, 'val': 1}
  • id: 2663427
    {'lmfdb_iso': '52800.gz', 'p': 89, 'prec': 20, 'unit': 706968405426506086509602928486791762, 'val': 1}
  • id: 2663413
    {'lmfdb_iso': '52800.gz', 'p': 97, 'prec': 20, 'unit': 16549230913268169043221161788206568282, 'val': 1}