Elliptic curve data - 59643.f1

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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': '59643d', 'Clabel': '59643d4', 'Cnumber': 4, 'abc_quality': 1.23864473399791, 'absD': 1909505657886363, 'ainvs': [0, 0, 1, -596430, 177303728], 'analytic_rank': 1, 'bad_primes': [3, 47], 'class_deg': 27, 'class_size': 4, 'cm': -27, 'conductor': 59643, 'degree': 317952, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9772217332621284926646626852', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 9, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3, 9, 27], 'jinv': [-12288000, 1], 'lmfdb_iso': '59643.f', 'lmfdb_label': '59643.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -30, 63], 'min_quad_twist_disc': 141, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6924119433190558318715088396', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 2209], [47, 1106, 27]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.95491333220533468452478745020', 'prec': 107}, 'szpiro_ratio': 4.684364903029805, '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, -2, 0, 0, -1, 0, 0, 0, 0, 0, -5, 0, 0, 4, 0, 0, 7, 0], 'aplist': [0, 0, 0, -1, 0, -5, 0, 7, 0, 0, 4, 11, 0, -8, 0, 0, 0, -1, -5, 0, 7, 17, 0, 0, -19], 'class_deg': 27, 'class_size': 4, 'conductor': 59643, 'isogeny_matrix': [[1, 27, 9, 3], [27, 1, 3, 9], [9, 3, 1, 3], [3, 9, 3, 1]], 'lmfdb_iso': '59643.f', 'trace_hash': 375158406172831754}
• 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': '0.019169333957595022791598825107', 'prec': 107}, 'conductor': 59643, 'gens': [[16873, 183239, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '4.6924119433190558318715088396', 'prec': 100}], 'lmfdb_label': '59643.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44633346521503378187104553124', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1887609657560097524728533880027361962', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 13, 0], '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': 'a'}, 'iwp0': 0, 'lmfdb_label': '59643.f1'}
• ec_torsion_growth •

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

  
  
  • id: 2866954
    {'degree': 2, 'field': [-35, -1, 1], 'lmfdb_label': '59643.f1', 'torsion': [3]}
  • id: 2866955
    {'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '59643.f1', 'torsion': [2]}
  • id: 2866959
    {'degree': 6, 'field': [-3993, -1089, 264, -9, 42, -3, 1], 'lmfdb_label': '59643.f1', 'torsion': [6]}
  • id: 2866958
    {'degree': 6, 'field': [-3959, 1260, 1296, -35, -72, 0, 1], 'lmfdb_label': '59643.f1', 'torsion': [9]}
  • id: 2866956
    {'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '59643.f1', 'torsion': [2, 2]}
  • id: 2866957
    {'degree': 6, 'field': [1842, -639, 459, -67, 39, -3, 1], 'lmfdb_label': '59643.f1', 'torsion': [3]}
  • id: 2866960
    {'degree': 12, 'field': [-117183891, -57106944, -1307646, -4167102, 292377, 688128, -186720, -1776, 4371, 108, 18, -6, 1], 'lmfdb_label': '59643.f1', 'torsion': [4]}
  • id: 2866961
    {'degree': 12, 'field': [2979300, -1504890, 1814877, -654540, 415845, -112410, 47887, -9366, 2895, -380, 87, -6, 1], 'lmfdb_label': '59643.f1', 'torsion': [3, 3]}
  • id: 2866962
    {'degree': 12, 'field': [3176607, -1912455, 1942074, -745464, 428598, -117360, 47833, -9312, 2868, -374, 87, -6, 1], 'lmfdb_label': '59643.f1', 'torsion': [9]}
  • id: 2866964
    {'degree': 12, 'field': [4818025, 0, 1808703, 0, 308550, 0, 30559, 0, 1830, 0, 63, 0, 1], 'lmfdb_label': '59643.f1', 'torsion': [2, 6]}
  • id: 2866963
    {'degree': 12, 'field': [78716413, 52269333, 26903772, 5348173, -79968, -420669, -95049, 9063, 2688, -59, -36, -3, 1], 'lmfdb_label': '59643.f1', 'torsion': [7]}
  • id: 2866967
    {'degree': 18, 'field': [-7073843073, 0, 4384613475, 573985764, -1081296414, -253128249, 176961774, 73507500, -8489448, -6711957, 431937, 400212, -45921, -20907, 2553, 675, -72, -9, 1], 'lmfdb_label': '59643.f1', 'torsion': [18]}
  • id: 2866965
    {'degree': 18, 'field': [3720918169, -25859554560, 34828517376, 7183209600, -19349176320, -538740720, 4138573824, 14965020, -443418624, -138565, 26687232, 0, -943488, 0, 19440, 0, -216, 0, 1], 'lmfdb_label': '59643.f1', 'torsion': [27]}
  • id: 2866966
    {'degree': 18, 'field': [5489322050, -4677153840, 5668359804, -3253873713, 2235129633, -962746884, 473009592, -159778071, 60825609, -16343373, 4980069, -1056375, 259959, -42093, 8289, -942, 144, -9, 1], 'lmfdb_label': '59643.f1', 'torsion': [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: 1436759
    {'conductor': 59643, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '59643.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1436760
    {'conductor': 59643, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '59643.f1', 'prime': 47, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• lmfdb_label 59643.f1 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 3030068
    {'lmfdb_iso': '59643.f', 'p': 7, 'prec': 20, 'unit': 5651333573635440, 'val': 1}
  • id: 3030071
    {'lmfdb_iso': '59643.f', 'p': 13, 'prec': 20, 'unit': 993116656325908420261, 'val': 1}
  • id: 3030073
    {'lmfdb_iso': '59643.f', 'p': 19, 'prec': 20, 'unit': 1635910361084823662844085, 'val': 1}
  • id: 3030075
    {'lmfdb_iso': '59643.f', 'p': 31, 'prec': 20, 'unit': 4698025823097082563344493805, 'val': 1}
  • id: 3030067
    {'lmfdb_iso': '59643.f', 'p': 37, 'prec': 20, 'unit': 537451956351205730458812143308, 'val': 1}
  • id: 3030070
    {'lmfdb_iso': '59643.f', 'p': 43, 'prec': 20, 'unit': 2628804594885915127766312010910, 'val': 1}
  • id: 3030074
    {'lmfdb_iso': '59643.f', 'p': 61, 'prec': 20, 'unit': 1711372910651792850446758961516692, 'val': 1}
  • id: 3030066
    {'lmfdb_iso': '59643.f', 'p': 67, 'prec': 20, 'unit': 8924542571085321902662504789202355, 'val': 1}
  • id: 3030069
    {'lmfdb_iso': '59643.f', 'p': 73, 'prec': 20, 'unit': 124788149849654736644595949101421206, 'val': 1}
  • id: 3030072
    {'lmfdb_iso': '59643.f', 'p': 79, 'prec': 20, 'unit': 320655827117091134355268572932088963, 'val': 1}
  • id: 3030065
    {'lmfdb_iso': '59643.f', 'p': 97, 'prec': 20, 'unit': 16886440222745701882823590217762460693, 'val': 1}