Elliptic curve data - 52800.gn2

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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': '52800ga', 'Clabel': '52800ga2', 'Cnumber': 2, 'abc_quality': 1.0439849119574671, 'absD': 513216000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 1, 0, 567, 34263], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52800, 'degree': 49152, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.92715568013914397622108960041', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 169, 'isogeny_degrees': [1, 2], 'jinv': [314432, 8019], 'lmfdb_iso': '52800.gn', 'lmfdb_label': '52800.gn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 6, -36], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '22.6.0.a.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.96684986259484743197199959201', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 4, 17600], [5, 14, 2112], [11, 12, 4800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57071045663785152049652218766', 'prec': 107}, 'szpiro_ratio': 3.1630390702221476, '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, 0, 0, 2, 0], 'aplist': [0, 1, 0, 2, -1, -2, 0, 2, 0, 8, -4, -6, -4, -6, -8, -6, -4, 6, -4, 8, 10, 14, 8, 2, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 52800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52800.gn', 'trace_hash': 884688740924371666}
• 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': '0.15656071949129864360315650219', 'prec': 103}, 'conductor': 52800, 'gens': [[18, 225, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.96684986259484743197199959201', 'prec': 103}], 'lmfdb_label': '52800.gn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.69699377429284617274483646425', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.0866600188540291173297321814290372144', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-27, 0, 1]], 'xcoord_integral_points': [-27, 18, 33, 1173]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '52800.gn2'}
• ec_torsion_growth •

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

  
  
  • id: 2557962
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '52800.gn2', 'torsion': [2, 2]}
  • id: 2557963
    {'degree': 4, 'field': [-275, 0, 40, 0, 1], 'lmfdb_label': '52800.gn2', 'torsion': [4]}
  • id: 2557966
    {'degree': 8, 'field': [-67500, 0, -9000, 0, 900, 0, 0, 0, 1], 'lmfdb_label': '52800.gn2', 'torsion': [6]}
  • id: 2557964
    {'degree': 8, 'field': [729, 0, 498, 0, 118, 0, -6, 0, 1], 'lmfdb_label': '52800.gn2', 'torsion': [2, 4]}
  • id: 2557965
    {'degree': 8, 'field': [5625, 0, -1500, 0, 1075, 0, -20, 0, 1], 'lmfdb_label': '52800.gn2', 'torsion': [2, 4]}
  • id: 2557967
    {'degree': 16, 'field': [33984576, -41430528, -2265984, 5243904, -4456128, 2309376, -1249920, 446016, -29264, -12800, 4912, 64, 352, -224, 64, -8, 1], 'lmfdb_label': '52800.gn2', 'torsion': [8]}
  • id: 2557968
    {'degree': 16, 'field': [16737890625, 0, 513750000, 0, -15406250, 0, 300000, 0, 1809375, 0, 4000, 0, 150, 0, 0, 0, 1], 'lmfdb_label': '52800.gn2', '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: 1266408
    {'conductor': 52800, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '52800.gn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1266409
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '52800.gn2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1266410
    {'conductor': 52800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '52800.gn2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1266411
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '52800.gn2', 'prime': 11, '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: 2015123
    {'adelic_gens': [[89, 4, 46, 9], [1, 2, 2, 5], [37, 100, 32, 99], [3, 4, 8, 11], [26, 1, 119, 0], [1, 4, 0, 1], [129, 4, 128, 5], [1, 0, 4, 1]], 'adelic_image': '132.12.0.?', 'conductor': 52800, 'lmfdb_label': '52800.gn2', 'prime': 0}
  • id: 225901
    {'conductor': 52800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52800.gn2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2663092
    {'lmfdb_iso': '52800.gn', 'p': 7, 'prec': 20, 'unit': 7662914756959178, 'val': 1}
  • id: 2663096
    {'lmfdb_iso': '52800.gn', 'p': 13, 'prec': 20, 'unit': 183612937996382040000, 'val': 1}
  • id: 2663099
    {'lmfdb_iso': '52800.gn', 'p': 19, 'prec': 20, 'unit': 764844899776742686414292, 'val': 1}
  • id: 2663095
    {'lmfdb_iso': '52800.gn', 'p': 29, 'prec': 20, 'unit': 3724180447161395456097511977, 'val': 1}
  • id: 2663106
    {'lmfdb_iso': '52800.gn', 'p': 31, 'prec': 20, 'unit': 9937560910257254117045036802, 'val': 1}
  • id: 2663091
    {'lmfdb_iso': '52800.gn', 'p': 37, 'prec': 20, 'unit': 38267643857157608981157720294, 'val': 1}
  • id: 2663093
    {'lmfdb_iso': '52800.gn', 'p': 41, 'prec': 20, 'unit': 2091485888693360058466601154421, 'val': 1}
  • id: 2663094
    {'lmfdb_iso': '52800.gn', 'p': 43, 'prec': 20, 'unit': 6306072915743302375460338573569, 'val': 1}
  • id: 2663104
    {'lmfdb_iso': '52800.gn', 'p': 47, 'prec': 20, 'unit': 16920972835266637306564134894129, 'val': 1}
  • id: 2663100
    {'lmfdb_iso': '52800.gn', 'p': 53, 'prec': 20, 'unit': 234235295629532352292046837686291, 'val': 1}
  • id: 2663098
    {'lmfdb_iso': '52800.gn', 'p': 59, 'prec': 20, 'unit': 4225015799320136966874266441018223, 'val': 1}
  • id: 2663105
    {'lmfdb_iso': '52800.gn', 'p': 61, 'prec': 20, 'unit': 4467831167612140944416486749308071, 'val': 1}
  • id: 2663090
    {'lmfdb_iso': '52800.gn', 'p': 67, 'prec': 20, 'unit': 40807632652425139184213180018825822, 'val': 1}
  • id: 2663103
    {'lmfdb_iso': '52800.gn', 'p': 71, 'prec': 20, 'unit': 31036526323445625544603335619304720, 'val': 1}
  • id: 2663101
    {'lmfdb_iso': '52800.gn', 'p': 73, 'prec': 20, 'unit': 16095070681534899258140632256966444, 'val': 1}
  • id: 2663097
    {'lmfdb_iso': '52800.gn', 'p': 79, 'prec': 20, 'unit': 41414591697179148551541921744406591, 'val': 1}
  • id: 2663089
    {'lmfdb_iso': '52800.gn', 'p': 83, 'prec': 20, 'unit': 1037178859424405910813894487594335172, 'val': 1}
  • id: 2663102
    {'lmfdb_iso': '52800.gn', 'p': 89, 'prec': 20, 'unit': 8014515718935313836809086632162025589, 'val': 1}
  • id: 2663088
    {'lmfdb_iso': '52800.gn', 'p': 97, 'prec': 20, 'unit': 935141064883236217484627679014202532, 'val': 1}