Elliptic curve data - 10404.f2

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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': '10404c', 'Clabel': '10404c1', 'Cnumber': 1, 'absD': 124848, 'ainvs': [0, 0, 0, 0, 17], 'analytic_rank': 2, 'bad_primes': [2, 3, 17], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 10404, 'degree': 1296, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.34321307206499270896039140982', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '10404.f', 'lmfdb_label': '10404.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 17], 'min_quad_twist_disc': 1, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 16, 'optimality': 1, 'potential_good_reduction': True, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.35055424822381287396163709884', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 867], [3, 6, 1156], [17, 66, 36]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691958', 'prec': 97}, 'szpiro_ratio': 2.0745605434266006, '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, 0, 0, -5, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -7, 0], 'aplist': [0, 0, 0, -5, 0, -7, 0, -7, 0, 0, -11, -11, 0, -13, 0, 0, 0, 13, 5, 0, 10, 4, 0, 0, -5], 'class_deg': 3, 'class_size': 2, 'conductor': 10404, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '10404.f', 'trace_hash': 1530954556463829983}
• 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': '1.9866029984389629625514318743', 'prec': 97}, 'conductor': 10404, 'gens': [[-2, 3, 1], [4, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.45461686518421062685579784546', 'prec': 97}, {'__RealLiteral__': 0, 'data': '0.78917598078126550369130534885', 'prec': 97}], 'lmfdb_label': '10404.f2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '2.6233174904174137635580923113', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5176905442339354889986457138322592512', 'prec': 127}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [-2, -1, 2, 4, 8, 43, 52, 5234]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [6, 2, 0], '7': [2, 0], '11': [2, 2, 0], '13': [4, 0], '17': 'a', '19': [2, 0], '23': [2, 2, 0], '29': [2, 2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '10404.f2'}
• ec_torsion_growth •

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

  
  
  • id: 537835
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '10404.f2', 'torsion': [3]}
  • id: 537836
    {'degree': 3, 'field': [-12, 6, -1, 1], 'lmfdb_label': '10404.f2', 'torsion': [2]}
  • id: 537839
    {'degree': 6, 'field': [-17, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10404.f2', 'torsion': [6]}
  • id: 537837
    {'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '10404.f2', 'torsion': [2, 2]}
  • id: 537838
    {'degree': 6, 'field': [1836, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '10404.f2', 'torsion': [3]}
  • id: 537840
    {'degree': 12, 'field': [-43079, 14874, 63472, -73252, 41928, -16836, 3922, -126, -176, 64, -6, -4, 1], 'lmfdb_label': '10404.f2', 'torsion': [4]}
  • id: 537843
    {'degree': 12, 'field': [16, -56, 120, -178, 175, 3, -65, 12, 12, -2, 1, -3, 1], 'lmfdb_label': '10404.f2', 'torsion': [2, 6]}
  • id: 537841
    {'degree': 12, 'field': [4489, 402, 1041, -2770, 1110, 282, 5, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '10404.f2', 'torsion': [3, 3]}
  • id: 537842
    {'degree': 12, 'field': [2395639, 2031813, -1559997, -934175, 442563, 31872, -14613, 3252, -597, -155, 42, -6, 1], 'lmfdb_label': '10404.f2', 'torsion': [7]}
  • id: 537844
    {'degree': 18, 'field': [-1007, -821058, -554643, 601242, 880221, 136170, -419568, -238488, 42066, 82636, 14703, -11466, -4191, 708, 477, -12, -30, 0, 1], 'lmfdb_label': '10404.f2', 'torsion': [9]}
  • id: 537845
    {'degree': 18, 'field': [4096, 0, 0, 2560, 0, 0, 31312, 0, 0, 352, 0, 0, 104, 0, 0, -24, 0, 0, 1], 'lmfdb_label': '10404.f2', '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: 220530
    {'conductor': 10404, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '10404.f2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 220531
    {'conductor': 10404, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '10404.f2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 220532
    {'conductor': 10404, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '10404.f2', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• lmfdb_label 10404.f2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 442115
    {'lmfdb_iso': '10404.f', 'p': 7, 'prec': 20, 'unit': 1507051993896955, 'val': 2}
  • id: 442118
    {'lmfdb_iso': '10404.f', 'p': 13, 'prec': 20, 'unit': 42525189361832875382, 'val': 3}
  • id: 442120
    {'lmfdb_iso': '10404.f', 'p': 19, 'prec': 20, 'unit': 118068651932398942497689, 'val': 2}
  • id: 442122
    {'lmfdb_iso': '10404.f', 'p': 31, 'prec': 20, 'unit': 16967646298027629410297703521, 'val': 2}
  • id: 442114
    {'lmfdb_iso': '10404.f', 'p': 37, 'prec': 20, 'unit': 327707705049815199871334480923, 'val': 2}
  • id: 442117
    {'lmfdb_iso': '10404.f', 'p': 43, 'prec': 20, 'unit': 4544403890220145435027336121864, 'val': 2}
  • id: 442121
    {'lmfdb_iso': '10404.f', 'p': 61, 'prec': 20, 'unit': 3008824053311623471982926823725135, 'val': 2}
  • id: 442113
    {'lmfdb_iso': '10404.f', 'p': 67, 'prec': 20, 'unit': 42751216687772103893607452880883212, 'val': 2}
  • id: 442116
    {'lmfdb_iso': '10404.f', 'p': 73, 'prec': 20, 'unit': 44974956989021792031764942491612931, 'val': 2}
  • id: 442119
    {'lmfdb_iso': '10404.f', 'p': 79, 'prec': 20, 'unit': 917438887208460787258218913967253363, 'val': 2}
  • id: 442112
    {'lmfdb_iso': '10404.f', 'p': 97, 'prec': 20, 'unit': 27457823487299464025095396057901173604, 'val': 2}