Elliptic curve data - 124128.l1

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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': '124128g', 'Clabel': '124128g1', 'Cnumber': 1, 'abc_quality': 0.7205673018777077, 'absD': 20108736, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 862, 'ainvs': [0, 0, 0, -57, -272], 'analytic_rank': 1, 'bad_primes': [2, 3, 431], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 124128, 'degree': 23040, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.097310465115081436897109319281', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-438976, 431], 'lmfdb_iso': '124128.l', 'lmfdb_label': '124128.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -6, -8], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['862.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9668504655670556243715379090', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.79856926949894606350912935991', 'prec': 107}, 'szpiro_ratio': 2.108841765403255, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, -4, 0, 0, 0, 1, 0, -2, 0, 0, 0, 8, 0, 1, 0], 'aplist': [0, 0, 1, -4, 1, -2, 8, 1, 3, 1, -4, 4, 6, -6, 6, -9, 1, 2, -8, 14, 0, -10, -12, 14, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 124128, 'isogeny_matrix': [[1]], 'lmfdb_iso': '124128.l', 'trace_hash': 942902109281332574}
• 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': '0.82314662892608895389336366909', 'prec': 103}, 'conductor': 124128, 'gens': [[48, 328, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9668504655670556243715379090', 'prec': 100}], 'lmfdb_label': '124128.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.83549851029717938032865001646', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6285953091058948849263480380425964692', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [48]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 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], '431': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '124128.l1'}
• ec_torsion_growth •

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

  
  
  • id: 5662006
    {'degree': 3, 'field': [-8, -1, 0, 1], 'lmfdb_label': '124128.l1', 'torsion': [2]}
  • id: 5662007
    {'degree': 6, 'field': [164, -208, 123, -14, 0, -2, 1], 'lmfdb_label': '124128.l1', 'torsion': [2, 2]}
  • id: 5662008
    {'degree': 8, 'field': [-1587, 0, 3200, 0, -138, 0, 0, 0, 1], 'lmfdb_label': '124128.l1', 'torsion': [3]}
  • id: 5662009
    {'degree': 12, 'field': [-1256796, 0, -2511648, 0, -438615, 0, -73440, 0, -1710, 0, 0, 0, 1], 'lmfdb_label': '124128.l1', 'torsion': [4]}
• 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: 3057889
    {'conductor': 124128, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '124128.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3057890
    {'conductor': 124128, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '124128.l1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3057891
    {'conductor': 124128, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '124128.l1', 'prime': 431, '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

  
  {'adelic_gens': [[7, 2, 7, 3], [861, 2, 860, 3], [1, 1, 861, 0], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '862.2.0.?', 'conductor': 124128, 'lmfdb_label': '124128.l1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6497637
    {'lmfdb_iso': '124128.l', 'p': 5, 'prec': 20, 'unit': 57782368504574, 'val': -1}
  • id: 6497638
    {'lmfdb_iso': '124128.l', 'p': 7, 'prec': 20, 'unit': 3416943704644956, 'val': 1}
  • id: 6497639
    {'lmfdb_iso': '124128.l', 'p': 11, 'prec': 20, 'unit': 142626539663331214663, 'val': -1}
  • id: 6497640
    {'lmfdb_iso': '124128.l', 'p': 13, 'prec': 20, 'unit': 139750632328128560826, 'val': 1}
  • id: 6497641
    {'lmfdb_iso': '124128.l', 'p': 17, 'prec': 20, 'unit': 133873267527693498873794, 'val': 1}
  • id: 6497642
    {'lmfdb_iso': '124128.l', 'p': 19, 'prec': 20, 'unit': 30463405473886912131276320, 'val': -1}
  • id: 6497643
    {'lmfdb_iso': '124128.l', 'p': 23, 'prec': 20, 'unit': 47981735274115998384491109, 'val': 1}
  • id: 6497644
    {'lmfdb_iso': '124128.l', 'p': 29, 'prec': 20, 'unit': 23405248206815542082868338422, 'val': -1}
  • id: 6497645
    {'lmfdb_iso': '124128.l', 'p': 31, 'prec': 20, 'unit': 5168382207298102157960602205, 'val': 1}
  • id: 6497646
    {'lmfdb_iso': '124128.l', 'p': 37, 'prec': 20, 'unit': 193011979110314111342426426096, 'val': 1}
  • id: 6497647
    {'lmfdb_iso': '124128.l', 'p': 41, 'prec': 20, 'unit': 1609400562770019782273386902195, 'val': 1}
  • id: 6497648
    {'lmfdb_iso': '124128.l', 'p': 43, 'prec': 20, 'unit': 8489208666830303420232043168233, 'val': 1}
  • id: 6497649
    {'lmfdb_iso': '124128.l', 'p': 47, 'prec': 20, 'unit': 2491631019488526315476365851600, 'val': 1}
  • id: 6497650
    {'lmfdb_iso': '124128.l', 'p': 53, 'prec': 20, 'unit': 161379167721301909549261715676718, 'val': 1}
  • id: 6497651
    {'lmfdb_iso': '124128.l', 'p': 59, 'prec': 20, 'unit': 234621707123756374871670359162069143, 'val': -1}
  • id: 6497652
    {'lmfdb_iso': '124128.l', 'p': 61, 'prec': 20, 'unit': 349068311610554865847123041396547, 'val': 1}
  • id: 6497653
    {'lmfdb_iso': '124128.l', 'p': 67, 'prec': 20, 'unit': 49385780774324515316607000159117854, 'val': 1}
  • id: 6497654
    {'lmfdb_iso': '124128.l', 'p': 71, 'prec': 20, 'unit': 135589334193586297640776217744560559, 'val': 1}
  • id: 6497655
    {'lmfdb_iso': '124128.l', 'p': 79, 'prec': 20, 'unit': 422630755909251755028200615337670124, 'val': 1}
  • id: 6497656
    {'lmfdb_iso': '124128.l', 'p': 83, 'prec': 20, 'unit': 2284612165397647853138110684567236054, 'val': 1}
  • id: 6497657
    {'lmfdb_iso': '124128.l', 'p': 89, 'prec': 20, 'unit': 5912931363420836177656348227514391004, 'val': 1}
  • id: 6497658
    {'lmfdb_iso': '124128.l', 'p': 97, 'prec': 20, 'unit': 9513857457574962451201303891868844411, 'val': 1}