Elliptic curve data - 62400.br2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '62400ey', 'Clabel': '62400ey1', 'Cnumber': 1, 'abc_quality': 1.0409341900189242, 'absD': 998400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -33, -48063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 62400, 'degree': 73728, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98133758849710263280231617937', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 43, 'isogeny_degrees': [1, 2], 'jinv': [-4, 975], 'lmfdb_iso': '62400.br', 'lmfdb_label': '62400.br2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 0, 48], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.c.1', '78.6.0.?', '1560.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2079763465398308469601253667', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74757760846654130038770631585', 'prec': 107}, 'szpiro_ratio': 3.177531345582177, '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, 0, 0, 1, 0, 0, 0, 4, 0, 6, 0], 'aplist': [0, -1, 0, -2, 0, 1, 4, 6, 6, -4, -8, -6, 6, -4, 8, 2, 0, 2, 4, 8, 0, -16, 4, -6, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 62400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '62400.br', 'trace_hash': 602194180717454946}
• 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': '0.14048210329651142090283860103', 'prec': 103}, 'conductor': 62400, 'gens': [[677, 17600, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2079763465398308469601253667', 'prec': 100}], 'lmfdb_label': '62400.br2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40171942732176385206427694148', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1548256831749804284459520272051054910', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[37, 0, 1]], 'xcoord_integral_points': [37, 677]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.br2'}
• ec_torsion_growth •

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

  
  
  • id: 2987859
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '62400.br2', 'torsion': [2, 2]}
  • id: 2987860
    {'degree': 4, 'field': [-74, -60, -2, 0, 1], 'lmfdb_label': '62400.br2', 'torsion': [4]}
  • id: 2987863
    {'degree': 8, 'field': [-4800, 0, -1760, 0, -240, 0, 0, 0, 1], 'lmfdb_label': '62400.br2', 'torsion': [6]}
  • id: 2987861
    {'degree': 8, 'field': [4086, -8460, 6990, -2640, 463, -60, 10, 0, 1], 'lmfdb_label': '62400.br2', 'torsion': [2, 4]}
  • id: 2987862
    {'degree': 8, 'field': [5590, -1040, 1469, -884, 508, -82, 32, -4, 1], 'lmfdb_label': '62400.br2', 'torsion': [2, 4]}
  • id: 2987864
    {'degree': 16, 'field': [10000, 80000, 12000, -70400, 12560, 27520, 31640, 52880, 11801, -8168, -4132, -136, 350, 104, -12, -8, 1], 'lmfdb_label': '62400.br2', 'torsion': [8]}
  • id: 2987865
    {'degree': 16, 'field': [20363200, -85654400, 141947040, -142312320, 147450480, -97149120, 41895280, -8532080, 2623281, -353688, 98748, -16776, 4070, -616, 108, -8, 1], 'lmfdb_label': '62400.br2', '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: 1505221
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '62400.br2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1505222
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.br2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1505223
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '62400.br2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1505224
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.br2', 'prime': 13, '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: 2077362
    {'adelic_gens': [[1, 0, 4, 1], [937, 4, 314, 9], [781, 4, 2, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1042, 1, 1039, 0], [602, 1, 479, 0], [1557, 4, 1556, 5], [977, 586, 584, 975]], 'adelic_image': '1560.12.0.?', 'conductor': 62400, 'lmfdb_label': '62400.br2', 'prime': 0}
  • id: 262445
    {'conductor': 62400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '62400.br2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3174794
    {'lmfdb_iso': '62400.br', 'p': 7, 'prec': 20, 'unit': 9763622861319406, 'val': 1}
  • id: 3174799
    {'lmfdb_iso': '62400.br', 'p': 17, 'prec': 20, 'unit': 185007665335889425536561, 'val': 1}
  • id: 3174790
    {'lmfdb_iso': '62400.br', 'p': 19, 'prec': 20, 'unit': 1683722749208144402056031, 'val': 1}
  • id: 3174802
    {'lmfdb_iso': '62400.br', 'p': 23, 'prec': 20, 'unit': 55337340404550339113138512, 'val': 1}
  • id: 3174797
    {'lmfdb_iso': '62400.br', 'p': 29, 'prec': 20, 'unit': 1434516098635024691024986580, 'val': 1}
  • id: 3174807
    {'lmfdb_iso': '62400.br', 'p': 31, 'prec': 20, 'unit': 4349776316684530640943964776, 'val': 1}
  • id: 3174793
    {'lmfdb_iso': '62400.br', 'p': 37, 'prec': 20, 'unit': 43525579440138849648550857559, 'val': 1}
  • id: 3174795
    {'lmfdb_iso': '62400.br', 'p': 41, 'prec': 20, 'unit': 3660633401630768867624107556379, 'val': 1}
  • id: 3174796
    {'lmfdb_iso': '62400.br', 'p': 43, 'prec': 20, 'unit': 6727874318205414781912720002526, 'val': 1}
  • id: 3174798
    {'lmfdb_iso': '62400.br', 'p': 47, 'prec': 20, 'unit': 7480917997373817322572990444031, 'val': 1}
  • id: 3174801
    {'lmfdb_iso': '62400.br', 'p': 53, 'prec': 20, 'unit': 425558847252017145617330458210916, 'val': 1}
  • id: 3174806
    {'lmfdb_iso': '62400.br', 'p': 61, 'prec': 20, 'unit': 1772254660448994497676214855601343, 'val': 1}
  • id: 3174792
    {'lmfdb_iso': '62400.br', 'p': 67, 'prec': 20, 'unit': 4852766570729805520034494062264187, 'val': 1}
  • id: 3174804
    {'lmfdb_iso': '62400.br', 'p': 71, 'prec': 20, 'unit': 15771086394936389382081372429188449, 'val': 1}
  • id: 3174805
    {'lmfdb_iso': '62400.br', 'p': 79, 'prec': 20, 'unit': 10172715575392228611022274695845693, 'val': 2}
  • id: 3174800
    {'lmfdb_iso': '62400.br', 'p': 83, 'prec': 20, 'unit': 1546355273607850722023372281849130863, 'val': 1}
  • id: 3174803
    {'lmfdb_iso': '62400.br', 'p': 89, 'prec': 20, 'unit': 4305671381939127908603263834307504468, 'val': 1}
  • id: 3174791
    {'lmfdb_iso': '62400.br', 'p': 97, 'prec': 20, 'unit': 31235647850941402911248954710657964056, 'val': 1}