Elliptic curve data - 4488.c1

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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': '4488f', 'Clabel': '4488f3', 'Cnumber': 3, 'abc_quality': 1.052485902764731, 'absD': 4243046318032896, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [0, -1, 0, -40512, 182700], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4488, 'degree': 24576, 'elladic_images': ['8.24.0.102'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6882043264582477300454173464', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [3590504967602306, 2071799959977], 'lmfdb_iso': '4488.c', 'lmfdb_label': '4488.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -40512, 182700], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0-8.m.1.5', '132.12.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3236304855305766748088256809', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 33], [3, 4, 1496], [11, 12, 408], [17, 18, 264]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0528194109449645297462879017', 'prec': 100}, 'szpiro_ratio': 5.165994652372259, '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, -1, 0, 2, 0, -4, 0, 1, 0, -1, 0, 2, 0, -2, 0, 1, 0, 4, 0], 'aplist': [0, -1, 2, -4, -1, 2, 1, 4, -4, 6, -8, -2, -6, 4, 4, 2, -4, 10, 12, -4, -14, -4, -4, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 4488, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '4488.c', 'trace_hash': 280103615483091548}
• 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': '0.034169950793131963835190871934', 'prec': 107}, 'conductor': 4488, 'gens': [[3977, 148835, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3236304855305766748088256809', 'prec': 100}], 'lmfdb_label': '4488.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37234292731563673349312561856', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2197464632271653407608265405828533573', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-203, 0, 1]], 'xcoord_integral_points': [-203]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4488.c1'}
• ec_torsion_growth •

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

  
  
  • id: 234123
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [2, 2]}
  • id: 234124
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [4]}
  • id: 234125
    {'degree': 2, 'field': [33, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [4]}
  • id: 234127
    {'degree': 4, 'field': [66, 0, 16, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [8]}
  • id: 234126
    {'degree': 4, 'field': [289, 0, -32, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [2, 4]}
  • id: 234131
    {'degree': 8, 'field': [77, 166, 222, 374, -104, -32, 10, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [6]}
  • id: 234129
    {'degree': 8, 'field': [289, 986, 1682, 1358, 610, 106, 2, -2, 1], 'lmfdb_label': '4488.c1', 'torsion': [8]}
  • id: 234130
    {'degree': 8, 'field': [3249, 0, -1092, 0, 88, 0, -4, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [2, 8]}
  • id: 234128
    {'degree': 8, 'field': [348100, 0, -14288, 0, -1164, 0, -8, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [2, 4]}
  • id: 234136
    {'degree': 16, 'field': [3794704, 0, -2925248, 0, 997792, 0, -157200, 0, 4824, 0, 1992, 0, -260, 0, 4, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [12]}
  • id: 234133
    {'degree': 16, 'field': [5461569, 0, -7197120, 0, 4412226, 0, -1424532, 0, 264931, 0, -29444, 0, 1926, 0, -68, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [2, 8]}
  • id: 234137
    {'degree': 16, 'field': [135553257, -192415860, 112129960, -26464064, -3119988, 3658580, 138992, -585096, 432334, -180044, 61960, -14256, 3644, -532, 96, -8, 1], 'lmfdb_label': '4488.c1', 'torsion': [12]}
  • id: 234135
    {'degree': 16, 'field': [3544059024, 0, -3106745664, 0, 692832448, 0, -80864784, 0, 5625048, 0, -254936, 0, 7524, 0, -132, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [2, 6]}
  • id: 234132
    {'degree': 16, 'field': [7780827681, 0, 0, 0, 0, 0, 0, 0, 2999106, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [4, 4]}
  • id: 234134
    {'degree': 16, 'field': [24153853427649, 0, -432239023656, 0, -66869091036, 0, 732060648, 0, 71656200, 0, 378840, 0, 8324, 0, 8, 0, 1], 'lmfdb_label': '4488.c1', 'torsion': [16]}
• 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: 85309
    {'conductor': 4488, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '4488.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 85310
    {'conductor': 4488, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4488.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 85311
    {'conductor': 4488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4488.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 85312
    {'conductor': 4488, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '4488.c1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1693164
    {'adelic_gens': [[52, 1, 167, 6], [1, 0, 8, 1], [232, 107, 169, 198], [1, 8, 0, 1], [235, 232, 122, 237], [7, 6, 258, 259], [1, 4, 4, 17], [257, 8, 256, 9], [92, 1, 199, 6]], 'adelic_image': '264.48.0.?', 'conductor': 4488, 'lmfdb_label': '4488.c1', 'prime': 0}
  • id: 22299
    {'conductor': 4488, 'elladic_image': '8.24.0.102', 'lmfdb_label': '4488.c1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 160507
    {'lmfdb_iso': '4488.c', 'p': 5, 'prec': 20, 'unit': 3550142021576, 'val': 1}
  • id: 160508
    {'lmfdb_iso': '4488.c', 'p': 7, 'prec': 20, 'unit': 7116514381386339, 'val': 1}
  • id: 160513
    {'lmfdb_iso': '4488.c', 'p': 13, 'prec': 20, 'unit': 552595270697186293331, 'val': 1}
  • id: 160516
    {'lmfdb_iso': '4488.c', 'p': 19, 'prec': 20, 'unit': 289586812496089543785327, 'val': 1}
  • id: 160519
    {'lmfdb_iso': '4488.c', 'p': 23, 'prec': 20, 'unit': 8982383907817386216134170, 'val': 1}
  • id: 160512
    {'lmfdb_iso': '4488.c', 'p': 29, 'prec': 20, 'unit': 1225011274095538713679679601, 'val': 1}
  • id: 160509
    {'lmfdb_iso': '4488.c', 'p': 31, 'prec': 20, 'unit': 137980016627518793134717378, 'val': 1}
  • id: 160524
    {'lmfdb_iso': '4488.c', 'p': 37, 'prec': 20, 'unit': 193955156014273180043039648780, 'val': 1}
  • id: 160510
    {'lmfdb_iso': '4488.c', 'p': 41, 'prec': 20, 'unit': 3866862211614428467800546092086, 'val': 1}
  • id: 160511
    {'lmfdb_iso': '4488.c', 'p': 43, 'prec': 20, 'unit': 5578092107319451679023493792147, 'val': 1}
  • id: 160522
    {'lmfdb_iso': '4488.c', 'p': 47, 'prec': 20, 'unit': 1667394163698424975178237205412, 'val': 1}
  • id: 160517
    {'lmfdb_iso': '4488.c', 'p': 53, 'prec': 20, 'unit': 96106838601241817822330266173996, 'val': 1}
  • id: 160515
    {'lmfdb_iso': '4488.c', 'p': 59, 'prec': 20, 'unit': 4343360118039061884872823247437256, 'val': 1}
  • id: 160523
    {'lmfdb_iso': '4488.c', 'p': 61, 'prec': 20, 'unit': 1641110682837048545741029578342171, 'val': 1}
  • id: 160506
    {'lmfdb_iso': '4488.c', 'p': 67, 'prec': 20, 'unit': 30606951847586852460684726926775123, 'val': 1}
  • id: 160521
    {'lmfdb_iso': '4488.c', 'p': 71, 'prec': 20, 'unit': 51377613801025647770113244839722888, 'val': 1}
  • id: 160518
    {'lmfdb_iso': '4488.c', 'p': 73, 'prec': 20, 'unit': 118797309586565560254509098390215247, 'val': 1}
  • id: 160514
    {'lmfdb_iso': '4488.c', 'p': 79, 'prec': 20, 'unit': 1069842961372338279631314355717136634, 'val': 1}
  • id: 160505
    {'lmfdb_iso': '4488.c', 'p': 83, 'prec': 20, 'unit': 879866645897822029604735205672721411, 'val': 1}
  • id: 160520
    {'lmfdb_iso': '4488.c', 'p': 89, 'prec': 20, 'unit': 9439668975580235366496931323951131874, 'val': 1}
  • id: 160504
    {'lmfdb_iso': '4488.c', 'p': 97, 'prec': 20, 'unit': 5428506328196006149628498905961433784, 'val': 1}