Elliptic curve data - 53130.t1

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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': '53130s', 'Clabel': '53130s4', 'Cnumber': 4, 'abc_quality': 0.9149555886225428, 'absD': 6833846250, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 70840, 'ainvs': [1, 0, 1, -24314, -1461238], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 53130, 'degree': 106496, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0944183755406058713334126746', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [1589524669089018649, 6833846250], 'lmfdb_iso': '53130.t', 'lmfdb_label': '53130.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -24314, -1461238], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '280.24.0.?', '1012.12.0.?', '2024.24.0.?', '70840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6192847430135769365308481798', 'prec': 100}, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0944183755406058713334126746', 'prec': 100}, 'szpiro_ratio': 3.8518430380774795, '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, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 2, 1, -1, 1, 2, -1, 0, -1], 'aplist': [-1, 1, -1, -1, -1, 2, 2, 0, 1, -6, 8, -6, -2, 8, 8, -6, 8, -6, -12, 8, -14, -8, 12, -2, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 53130, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '53130.t', 'trace_hash': 1865031586939707738}
• 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': '0.11204701140348611897306446946', 'prec': 103}, 'conductor': 53130, 'gens': [[-90, 46, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6192847430135769365308481798', 'prec': 100}], 'lmfdb_label': '53130.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38232940711564513718428337115', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9528014059823253547115037661905860548', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-361, 357, 2]], 'xcoord_integral_points': [-90, 216, 560]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [6, 0], '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '53130.t1'}
• ec_torsion_growth •

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

  
  
  • id: 2573062
    {'degree': 2, 'field': [-506, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [2, 2]}
  • id: 2573064
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [4]}
  • id: 2573063
    {'degree': 2, 'field': [253, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [4]}
  • id: 2573065
    {'degree': 4, 'field': [16129, 0, -252, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [2, 4]}
  • id: 2573069
    {'degree': 8, 'field': [-314928, 0, -35316, 0, -1944, 0, 0, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [6]}
  • id: 2573068
    {'degree': 8, 'field': [18232900, 0, 1284080, 0, 30444, 0, 296, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [8]}
  • id: 2573066
    {'degree': 8, 'field': [20702500, 0, -109328, 0, -9084, 0, -8, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [2, 4]}
  • id: 2573067
    {'degree': 8, 'field': [112063396, 0, -5598856, 0, 125501, 0, -646, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [8]}
  • id: 2573075
    {'degree': 16, 'field': [63532227136, 0, 12237937216, 0, 2653765264, 0, 207641728, 0, 5251216, 0, -54632, 0, -3776, 0, 16, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [12]}
  • id: 2573071
    {'degree': 16, 'field': [13612752412249, -8102606242552, 9074930681416, -1966417933528, 1037433958370, -64514062888, 20570660316, 815381936, -221931373, 11441032, -1677108, -326816, 49070, 2464, -332, -8, 1], 'lmfdb_label': '53130.t1', 'torsion': [2, 8]}
  • id: 2573070
    {'degree': 16, 'field': [26881414803441, 0, 0, 0, 0, 0, 0, 0, 176280786, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [4, 4]}
  • id: 2573074
    {'degree': 16, 'field': [30926233610496, 0, 192488421067776, 0, 5548232562624, 0, 128298891168, 0, 1826862336, 0, 16870248, 0, 114769, 0, 506, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [12]}
  • id: 2573073
    {'degree': 16, 'field': [191554125534864, 0, 79357382797680, 0, 4399488184788, 0, 45632260440, 0, -1692441540, 0, -29589660, 0, -140508, 0, 0, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [2, 6]}
  • id: 2573072
    {'degree': 16, 'field': [207339523705521, 0, -17893966255488, 0, 632464023744, 0, -8787750912, 0, 66312594, 0, -1130112, 0, 15552, 0, 0, 0, 1], 'lmfdb_label': '53130.t1', 'torsion': [2, 8]}
• 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: 1274671
    {'conductor': 53130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53130.t1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1274672
    {'conductor': 53130, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '53130.t1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1274673
    {'conductor': 53130, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '53130.t1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1274674
    {'conductor': 53130, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '53130.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1274675
    {'conductor': 53130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53130.t1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1274676
    {'conductor': 53130, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '53130.t1', '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: 2017399
    {'adelic_gens': [[7, 6, 70834, 70835], [1, 0, 8, 1], [60721, 8, 30364, 33], [1, 8, 0, 1], [1, 4, 4, 17], [21568, 3, 40045, 2], [26568, 61993, 44267, 44254], [44283, 44276, 44322, 8861], [70833, 8, 70832, 9], [38648, 3, 6445, 2], [28337, 8, 42508, 33]], 'adelic_image': '70840.48.0.?', 'conductor': 53130, 'lmfdb_label': '53130.t1', 'prime': 0}
  • id: 227373
    {'conductor': 53130, 'elladic_image': '8.12.0.7', 'lmfdb_label': '53130.t1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2679855
    {'lmfdb_iso': '53130.t', 'p': 13, 'prec': 20, 'unit': 724523130919050901168, 'val': 1}
  • id: 2679857
    {'lmfdb_iso': '53130.t', 'p': 17, 'prec': 20, 'unit': 126252685545422087959437, 'val': 1}
  • id: 2679854
    {'lmfdb_iso': '53130.t', 'p': 29, 'prec': 20, 'unit': 3205073921715179448302144906, 'val': 1}
  • id: 2679865
    {'lmfdb_iso': '53130.t', 'p': 31, 'prec': 20, 'unit': 19698384475062860119314778412, 'val': 1}
  • id: 2679850
    {'lmfdb_iso': '53130.t', 'p': 37, 'prec': 20, 'unit': 167851625222393485845191419113, 'val': 1}
  • id: 2679852
    {'lmfdb_iso': '53130.t', 'p': 41, 'prec': 20, 'unit': 2410065718286212685654917257198, 'val': 1}
  • id: 2679853
    {'lmfdb_iso': '53130.t', 'p': 43, 'prec': 20, 'unit': 59034906950087430140444791603, 'val': 2}
  • id: 2679863
    {'lmfdb_iso': '53130.t', 'p': 47, 'prec': 20, 'unit': 931522527124769014381953705706, 'val': 2}
  • id: 2679859
    {'lmfdb_iso': '53130.t', 'p': 53, 'prec': 20, 'unit': 409607328633301491488377538041944, 'val': 1}
  • id: 2679860
    {'lmfdb_iso': '53130.t', 'p': 59, 'prec': 20, 'unit': 3307148280213805547300437180141678, 'val': 1}
  • id: 2679864
    {'lmfdb_iso': '53130.t', 'p': 61, 'prec': 20, 'unit': 6259231725356063792557158916920398, 'val': 1}
  • id: 2679849
    {'lmfdb_iso': '53130.t', 'p': 67, 'prec': 20, 'unit': 12519062691878687837463558931857349, 'val': 1}
  • id: 2679851
    {'lmfdb_iso': '53130.t', 'p': 71, 'prec': 20, 'unit': 34866029919546878629232954929628878, 'val': 1}
  • id: 2679861
    {'lmfdb_iso': '53130.t', 'p': 73, 'prec': 20, 'unit': 130865660250304384560573956369889866, 'val': 1}
  • id: 2679856
    {'lmfdb_iso': '53130.t', 'p': 79, 'prec': 20, 'unit': 819837630349422402929028159915781189, 'val': 1}
  • id: 2679858
    {'lmfdb_iso': '53130.t', 'p': 83, 'prec': 20, 'unit': 1780802304312990198937713738532904469, 'val': 1}
  • id: 2679862
    {'lmfdb_iso': '53130.t', 'p': 89, 'prec': 20, 'unit': 7060291644134765929262224709204415140, 'val': 1}
  • id: 2679848
    {'lmfdb_iso': '53130.t', 'p': 97, 'prec': 20, 'unit': 46056859504265776086857717934221103570, 'val': 1}