Elliptic curve data - 4400.u1

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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': '4400h', 'Clabel': '4400h1', 'Cnumber': 1, 'abc_quality': 0.7710622198826756, 'absD': 44000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 440, 'ainvs': [0, 1, 0, 792, 5588], 'analytic_rank': 1, 'bad_primes': [2, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4400, 'degree': 1920, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.73017016460730852464338906769', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1], 'jinv': [13718, 11], 'lmfdb_iso': '4400.u', 'lmfdb_label': '4400.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 32, -32], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['440.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.70842057205772260609994954169', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 55], [5, 14, 176], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1122931852315499566063098769', 'prec': 103}, 'szpiro_ratio': 3.770970013833393, '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, 1, 0, 0, 0, -1, 0, -2, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, 0], 'aplist': [0, 1, 0, -1, 1, 0, 1, -1, 0, -1, 1, 1, 0, -6, -8, 9, -4, -7, 4, -5, 14, -4, -16, -7, -16], 'class_deg': 1, 'class_size': 1, 'conductor': 4400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4400.u', 'trace_hash': 238272003255306666}
• 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': '0.23215725138851301729292412871', 'prec': 103}, 'conductor': 4400, 'gens': [[58, 500, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.70842057205772260609994954169', 'prec': 103}], 'lmfdb_label': '4400.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.73414134670313314373491782741', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1606466624212835812342411858175191636', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [4, 58]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [4, 0], '13': [1, 1, 0], '17': [3, 0], '19': [1, 0], '23': [3, 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': '4400.u1'}
• ec_torsion_growth •

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

  
  
  • id: 228705
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '4400.u1', 'torsion': [2]}
  • id: 228706
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '4400.u1', 'torsion': [2, 2]}
  • id: 228707
    {'degree': 8, 'field': [366, -724, 74, 192, -96, -6, 6, -2, 1], 'lmfdb_label': '4400.u1', 'torsion': [3]}
  • id: 228708
    {'degree': 12, 'field': [-7039, 19527, -13420, -32417, -24257, -12118, -1520, 1450, 527, -41, -36, -1, 1], 'lmfdb_label': '4400.u1', '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: 83163
    {'conductor': 4400, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '4400.u1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 83164
    {'conductor': 4400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4400.u1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 83165
    {'conductor': 4400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4400.u1', 'prime': 11, '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': [[439, 2, 438, 3], [221, 2, 221, 3], [321, 2, 321, 3], [1, 1, 439, 0], [1, 0, 2, 1], [1, 2, 0, 1], [111, 2, 0, 1], [177, 2, 177, 3]], 'adelic_image': '440.2.0.?', 'conductor': 4400, 'lmfdb_label': '4400.u1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 156435
    {'lmfdb_iso': '4400.u', 'p': 7, 'prec': 20, 'unit': 9222405185601738, 'val': 1}
  • id: 156440
    {'lmfdb_iso': '4400.u', 'p': 17, 'prec': 20, 'unit': 2230564314174298509035300, 'val': 0}
  • id: 156431
    {'lmfdb_iso': '4400.u', 'p': 19, 'prec': 20, 'unit': 1516680283240845577214890, 'val': 1}
  • id: 156438
    {'lmfdb_iso': '4400.u', 'p': 29, 'prec': 20, 'unit': 4413151346193248148970558132, 'val': 1}
  • id: 156448
    {'lmfdb_iso': '4400.u', 'p': 31, 'prec': 20, 'unit': 215368623487601635231180272781, 'val': -1}
  • id: 156434
    {'lmfdb_iso': '4400.u', 'p': 37, 'prec': 20, 'unit': 1384457394972937891276318445185, 'val': -1}
  • id: 156437
    {'lmfdb_iso': '4400.u', 'p': 43, 'prec': 20, 'unit': 9900394859532308862515051587968, 'val': 1}
  • id: 156446
    {'lmfdb_iso': '4400.u', 'p': 47, 'prec': 20, 'unit': 39467220929839869578622829952691, 'val': 1}
  • id: 156442
    {'lmfdb_iso': '4400.u', 'p': 53, 'prec': 20, 'unit': 303433130986057898119852324484890, 'val': 1}
  • id: 156443
    {'lmfdb_iso': '4400.u', 'p': 59, 'prec': 20, 'unit': 1415121295840992529079023328270485, 'val': 1}
  • id: 156447
    {'lmfdb_iso': '4400.u', 'p': 61, 'prec': 20, 'unit': 4226712529049178933174887945151576, 'val': 1}
  • id: 156433
    {'lmfdb_iso': '4400.u', 'p': 67, 'prec': 20, 'unit': 11050805605001453292512485679443957, 'val': 1}
  • id: 156445
    {'lmfdb_iso': '4400.u', 'p': 71, 'prec': 20, 'unit': 121910693757323074640536124587847240, 'val': 1}
  • id: 156436
    {'lmfdb_iso': '4400.u', 'p': 73, 'prec': 20, 'unit': 67076640334839089772956848178892532, 'val': 1}
  • id: 156439
    {'lmfdb_iso': '4400.u', 'p': 79, 'prec': 20, 'unit': 195969097663301235061279930564182371, 'val': 1}
  • id: 156441
    {'lmfdb_iso': '4400.u', 'p': 83, 'prec': 20, 'unit': 1581524211403656309480981534982665213, 'val': 1}
  • id: 156444
    {'lmfdb_iso': '4400.u', 'p': 89, 'prec': 20, 'unit': 3549372511953892615996284396546131459, 'val': 1}
  • id: 156432
    {'lmfdb_iso': '4400.u', 'p': 97, 'prec': 20, 'unit': 49974459215200201432338729207784124077, 'val': 1}