Elliptic curve data - 35728.z1

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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': '35728x', 'Clabel': '35728x2', 'Cnumber': 2, 'abc_quality': 0.9851707613045391, 'absD': 411188700572948824064, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [0, -1, 0, -12356184, 16693255664], 'analytic_rank': 1, 'bad_primes': [2, 7, 11, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 35728, 'degree': 2064384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8434988808255804207235409132', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [50935069139198569148377, 100387866350817584], 'lmfdb_iso': '35728.z', 'lmfdb_label': '35728.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -772262, -260832120], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '44.6.0.a.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9997365425825056543162884915', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1503517002656351113063087917', 'prec': 100}, 'szpiro_ratio': 5.7806559462241776, '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, 2, 0, -2, 0, 1, 0, 1, 0, -1, 0, 4, 0, -4, 0, -8, 0, -4, 0], 'aplist': [0, 2, -2, 1, -1, 4, -8, -4, 4, -1, 2, 10, 0, 4, 6, -6, -2, 4, 8, 12, -4, 8, 0, 6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 35728, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '35728.z', 'trace_hash': 329566618162749400}
• 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': '0.0033897545591174782961152699005', 'prec': 110}, 'conductor': 35728, 'gens': [[-1126, 170814, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9997365425825056543162884915', 'prec': 100}], 'lmfdb_label': '35728.z1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16836366211049555583769026320', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0706528154621400402995427655630844860', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [[1961, 0, 1]], 'xcoord_integral_points': [-1126, 1961]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [2, 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, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '35728.z1'}
• ec_torsion_growth •

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

  
  
  • id: 1773983
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '35728.z1', 'torsion': [2, 2]}
  • id: 1773984
    {'degree': 4, 'field': [2, 4, 1, -1, 1], 'lmfdb_label': '35728.z1', 'torsion': [4]}
  • id: 1773987
    {'degree': 8, 'field': [-27648, 0, -31980, 0, -956, 0, 20, 0, 1], 'lmfdb_label': '35728.z1', 'torsion': [6]}
  • id: 1773986
    {'degree': 8, 'field': [49, 0, 266, 0, -5, 0, 6, 0, 1], 'lmfdb_label': '35728.z1', 'torsion': [2, 4]}
  • id: 1773985
    {'degree': 8, 'field': [74101790, 363636, -385934, 44608, -22333, 32, -6, -4, 1], 'lmfdb_label': '35728.z1', 'torsion': [2, 4]}
  • id: 1773989
    {'degree': 16, 'field': [1730643201, 0, -693774144, 0, 77390404, 0, 1529976, 0, -637902, 0, 14176, 0, 816, 0, 0, 0, 1], 'lmfdb_label': '35728.z1', 'torsion': [2, 6]}
  • id: 1773988
    {'degree': 16, 'field': [8082369604, 2074218944, 3843519614, 11069520, 989082811, -81016558, 113479277, -5842368, 5639870, -32746, 133485, -5152, 2040, -378, -3, 0, 1], 'lmfdb_label': '35728.z1', 'torsion': [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: 841644
    {'conductor': 35728, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '35728.z1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 841645
    {'conductor': 35728, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '35728.z1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 841646
    {'conductor': 35728, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35728.z1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 841647
    {'conductor': 35728, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '35728.z1', 'prime': 29, '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: 1903058
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [45, 4, 90, 9], [114, 1, 251, 0], [232, 81, 77, 232], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 35728, 'lmfdb_label': '35728.z1', 'prime': 0}
  • id: 158772
    {'conductor': 35728, 'elladic_image': '2.3.0.1', 'lmfdb_label': '35728.z1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1755838
    {'lmfdb_iso': '35728.z', 'p': 5, 'prec': 20, 'unit': 3532740413371, 'val': 2}
  • id: 1755843
    {'lmfdb_iso': '35728.z', 'p': 13, 'prec': 20, 'unit': 259891173811996419383, 'val': 1}
  • id: 1755845
    {'lmfdb_iso': '35728.z', 'p': 17, 'prec': 20, 'unit': 236081420023882258071734, 'val': 1}
  • id: 1755846
    {'lmfdb_iso': '35728.z', 'p': 19, 'prec': 20, 'unit': 1349312626217674017318922, 'val': 1}
  • id: 1755849
    {'lmfdb_iso': '35728.z', 'p': 23, 'prec': 20, 'unit': 39262495072208216426304653, 'val': 1}
  • id: 1755840
    {'lmfdb_iso': '35728.z', 'p': 31, 'prec': 20, 'unit': 14782064783162346572206879066, 'val': 1}
  • id: 1755853
    {'lmfdb_iso': '35728.z', 'p': 37, 'prec': 20, 'unit': 84479924388451175478139693151, 'val': 1}
  • id: 1755842
    {'lmfdb_iso': '35728.z', 'p': 43, 'prec': 20, 'unit': 3041504696440843252006477569210, 'val': 1}
  • id: 1755851
    {'lmfdb_iso': '35728.z', 'p': 47, 'prec': 20, 'unit': 19889186664687078557752084855669, 'val': 1}
  • id: 1755847
    {'lmfdb_iso': '35728.z', 'p': 53, 'prec': 20, 'unit': 507510879721158345938658265049589, 'val': 1}
  • id: 1755848
    {'lmfdb_iso': '35728.z', 'p': 59, 'prec': 20, 'unit': 2676103964507112720226785732673984, 'val': 1}
  • id: 1755852
    {'lmfdb_iso': '35728.z', 'p': 61, 'prec': 20, 'unit': 3118774992768666345278005239892500, 'val': 1}
  • id: 1755837
    {'lmfdb_iso': '35728.z', 'p': 67, 'prec': 20, 'unit': 23590307148083102522733494428695443, 'val': 1}
  • id: 1755839
    {'lmfdb_iso': '35728.z', 'p': 71, 'prec': 20, 'unit': 129091271008558491886827066787389490, 'val': 1}
  • id: 1755841
    {'lmfdb_iso': '35728.z', 'p': 73, 'prec': 20, 'unit': 207541739497639576750461433399659396, 'val': 1}
  • id: 1755844
    {'lmfdb_iso': '35728.z', 'p': 79, 'prec': 20, 'unit': 1065339188908625254788733143660093248, 'val': 1}
  • id: 1755850
    {'lmfdb_iso': '35728.z', 'p': 89, 'prec': 20, 'unit': 9935836294666888526475453030584818144, 'val': 1}
  • id: 1755836
    {'lmfdb_iso': '35728.z', 'p': 97, 'prec': 20, 'unit': 2541650172363893055986442453740538805, 'val': 1}