Elliptic curve data - 5461.a1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5461a', 'Clabel': '5461a1', 'Cnumber': 1, 'abc_quality': 0.7819297671826626, 'absD': 5461, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10922, 'ainvs': [0, -1, 1, -16, -20], 'analytic_rank': 1, 'bad_primes': [43, 127], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5461, 'degree': 372, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.46942117987378872874858337856', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [481890304, 5461], 'lmfdb_iso': '5461.a', 'lmfdb_label': '5461.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, -16, -20], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['10922.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.48629495521471495273038360970', 'prec': 103}, 'semistable': True, 'serre_invariants': [[43, 44, 127], [127, 128, 43]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46942117987378872874858337856', 'prec': 107}, 'szpiro_ratio': 2.323338461289812, '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, -2, -1, 2, -1, 2, -1, 0, -2, 2, 0, -2, -6, 2, 1, -4, 3, 4, 0, -2], 'aplist': [-2, -1, -1, -1, 0, -6, 3, 0, -4, 9, -4, 10, 5, -1, 3, 0, -6, 10, 2, -2, 2, 12, 0, -9, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 5461, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5461.a', 'trace_hash': 1300380737689986609}
• 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': '2.5570195954874001258308714875', 'prec': 100}, 'conductor': 5461, 'gens': [[-2, 0, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.48629495521471495273038360970', 'prec': 103}], 'lmfdb_label': '5461.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3764478433566975952965546525', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1556545975552511924059016535177470506', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [-2, 5, 2392]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 1, 0], '3': [1, 0], '5': [3, 0], '7': [3, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '127': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5461.a1'}
• ec_torsion_growth •

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

  
  
  • id: 284326
    {'degree': 3, 'field': [-4, -28, 0, 1], 'lmfdb_label': '5461.a1', 'torsion': [2]}
  • id: 284327
    {'degree': 6, 'field': [-87376, 0, 7056, 0, -168, 0, 1], 'lmfdb_label': '5461.a1', 'torsion': [2, 2]}
  • id: 284328
    {'degree': 8, 'field': [341, -1367, 1364, 5, 1, -7, 7, -4, 1], 'lmfdb_label': '5461.a1', 'torsion': [3]}
  • id: 284329
    {'degree': 12, 'field': [4, 153104, -1067024, -32680, 37744, -5488, -10916, 504, 392, -16, -28, 0, 1], 'lmfdb_label': '5461.a1', '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: 106613
    {'conductor': 5461, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5461.a1', 'prime': 43, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 106614
    {'conductor': 5461, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5461.a1', 'prime': 127, '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': [[5335, 2, 5335, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 10921, 0], [10921, 2, 10920, 3], [5591, 2, 5591, 3]], 'adelic_image': '10922.2.0.?', 'conductor': 5461, 'lmfdb_label': '5461.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 205295
    {'lmfdb_iso': '5461.a', 'p': 5, 'prec': 20, 'unit': 2619689541083, 'val': 2}
  • id: 205296
    {'lmfdb_iso': '5461.a', 'p': 7, 'prec': 20, 'unit': 226724313163965, 'val': 3}
  • id: 205301
    {'lmfdb_iso': '5461.a', 'p': 13, 'prec': 20, 'unit': 136966304159473815563, 'val': 1}
  • id: 205303
    {'lmfdb_iso': '5461.a', 'p': 17, 'prec': 20, 'unit': 106324982847382744888237, 'val': 1}
  • id: 205306
    {'lmfdb_iso': '5461.a', 'p': 23, 'prec': 20, 'unit': 46037684969803992696201901, 'val': 1}
  • id: 205300
    {'lmfdb_iso': '5461.a', 'p': 29, 'prec': 20, 'unit': 6013982975951949625044521361, 'val': 1}
  • id: 205297
    {'lmfdb_iso': '5461.a', 'p': 31, 'prec': 20, 'unit': 6152989490734157545678977927, 'val': 1}
  • id: 205310
    {'lmfdb_iso': '5461.a', 'p': 37, 'prec': 20, 'unit': 114274997195216686055694583274, 'val': 1}
  • id: 205298
    {'lmfdb_iso': '5461.a', 'p': 41, 'prec': 20, 'unit': 4215821466535073622579558853961, 'val': 1}
  • id: 205308
    {'lmfdb_iso': '5461.a', 'p': 47, 'prec': 20, 'unit': 29745748090972726302929762990359, 'val': 1}
  • id: 205304
    {'lmfdb_iso': '5461.a', 'p': 59, 'prec': 20, 'unit': 939656521076237969640163413177644, 'val': 1}
  • id: 205309
    {'lmfdb_iso': '5461.a', 'p': 61, 'prec': 20, 'unit': 4930115370240740038981794927089139, 'val': 1}
  • id: 205294
    {'lmfdb_iso': '5461.a', 'p': 67, 'prec': 20, 'unit': 43421901900738459381580600199194509, 'val': 1}
  • id: 205299
    {'lmfdb_iso': '5461.a', 'p': 71, 'prec': 20, 'unit': 126047915589898057878340368765788310, 'val': 1}
  • id: 205305
    {'lmfdb_iso': '5461.a', 'p': 73, 'prec': 20, 'unit': 128604750845227314976653716048186824, 'val': 1}
  • id: 205302
    {'lmfdb_iso': '5461.a', 'p': 79, 'prec': 20, 'unit': 831768823626536076971715552940250309, 'val': 1}
  • id: 205307
    {'lmfdb_iso': '5461.a', 'p': 89, 'prec': 20, 'unit': 5154138767976100772695453697579458080, 'val': 1}
  • id: 205293
    {'lmfdb_iso': '5461.a', 'p': 97, 'prec': 20, 'unit': 22968190364679697547766070882100535698, 'val': 1}