Elliptic curve data - 8880.ba6

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

  
  {'Ciso': '8880ba', 'Clabel': '8880ba6', 'Cnumber': 6, 'abc_quality': 1.0675015979740146, 'absD': 419528297989473730560, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 8880, 'ainvs': [0, 1, 0, 1863600, -110161260], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 8880, 'degree': 331776, 'elladic_images': ['8.24.0.45'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6465398035594746379224520692', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [174751791402194852399, 102423900876336360], 'lmfdb_iso': '8880.ba', 'lmfdb_label': '8880.ba6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 116475, 1779507], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.n.1.2', '24.48.0-24.by.2.3', '40.48.0-40.bl.1.5', '120.96.0.?', '592.48.0.?', '1776.96.0.?', '2960.96.0.?', '8880.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.0180880324097239115041163482', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9533926229995293285052199477', 'prec': 100}, 'szpiro_ratio': 6.0416126152879945, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 1, 0, 0, 0, 1, 0, -4, 0, -2, 0, 1, 0, 2, 0, -4, 0], 'aplist': [0, 1, 1, 0, -4, -2, 2, -4, 8, -2, -8, 1, 10, -12, 0, 6, -4, -10, 4, -8, -6, 8, 4, 10, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 8880, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '8880.ba', 'trace_hash': 64269780809112858}
• 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': '0.0050262575023564427187342358537', 'prec': 110}, 'conductor': 8880, 'gens': [[50316, 13576914, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '9.0180880324097239115041163482', 'prec': 100}], 'lmfdb_label': '8880.ba6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.098782352759347704995293451871', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3449677193940952390291712625380538992', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[1428, 73926, 1]], 'xcoord_integral_points': [59, 1428]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [4, 0], '7': [1, 1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '8880.ba6'}
• ec_torsion_growth •

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

  
  
  • id: 462888
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [8]}
  • id: 462887
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [2, 4]}
  • id: 462889
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [8]}
  • id: 462890
    {'degree': 4, 'field': [25, 0, 20, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [2, 8]}
  • id: 462895
    {'degree': 8, 'field': [-768, 0, -487, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [12]}
  • id: 462892
    {'degree': 8, 'field': [81, 0, 124, 0, -14, 0, 4, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [2, 8]}
  • id: 462891
    {'degree': 8, 'field': [7921, 0, 1084, 0, -174, 0, 4, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [4, 4]}
  • id: 462893
    {'degree': 8, 'field': [8100, 0, 42660, 0, -1398, 0, -30, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [16]}
  • id: 462894
    {'degree': 8, 'field': [17139600, 0, -550800, 0, 7050, 0, -60, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [16]}
  • id: 462896
    {'degree': 16, 'field': [12321, 0, 25716, 0, 16810, 0, 3584, 0, -81, 0, -296, 0, 30, 0, -4, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [4, 8]}
  • id: 462900
    {'degree': 16, 'field': [79524, 0, -49011, 0, 56650, 0, 12483, 0, -3525, 0, -617, 0, -45, 0, -6, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [24]}
  • id: 462899
    {'degree': 16, 'field': [12425625, 0, 3316500, 0, 659100, 0, -23300, 0, -24850, 0, 3580, 0, -20, 0, 20, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [2, 12]}
  • id: 462897
    {'degree': 16, 'field': [371164609, -165217252, 377947340, -438246228, 365434748, -159477248, 45619324, -5974812, 358645, 232080, -77456, 3380, 2534, -588, 140, -8, 1], 'lmfdb_label': '8880.ba6', 'torsion': [2, 16]}
  • id: 462901
    {'degree': 16, 'field': [4308347044, 0, 639141652, 0, -84324335, 0, -14852216, 0, 661960, 0, 94966, 0, 5908, 0, 100, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [24]}
  • id: 462898
    {'degree': 16, 'field': [23698397610000, 0, -316152720000, 0, 104701410000, 0, 4726026000, 0, 89003025, 0, -997200, 0, 24900, 0, -120, 0, 1], 'lmfdb_label': '8880.ba6', 'torsion': [2, 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: 185668
    {'conductor': 8880, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '8880.ba6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 185669
    {'conductor': 8880, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '8880.ba6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 185670
    {'conductor': 8880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '8880.ba6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 185671
    {'conductor': 8880, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '8880.ba6', 'prime': 37, '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: 1722622
    {'adelic_gens': [[7762, 2219, 1031, 4430], [1, 16, 0, 1], [8401, 16, 5048, 129], [5933, 16, 2704, 8565], [6676, 6661, 4599, 4450], [5, 4, 8876, 8877], [15, 2, 8782, 8867], [1, 0, 16, 1], [8865, 16, 8864, 17], [5336, 1, 7183, 10]], 'adelic_image': '8880.192.1.?', 'conductor': 8880, 'lmfdb_label': '8880.ba6', 'prime': 0}
  • id: 43263
    {'conductor': 8880, 'elladic_image': '8.24.0.45', 'lmfdb_label': '8880.ba6', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 369299
    {'lmfdb_iso': '8880.ba', 'p': 11, 'prec': 20, 'unit': 4558432534030572925, 'val': 2}
  • id: 369297
    {'lmfdb_iso': '8880.ba', 'p': 13, 'prec': 20, 'unit': 1289476411662787556790, 'val': 1}
  • id: 369300
    {'lmfdb_iso': '8880.ba', 'p': 17, 'prec': 20, 'unit': 11448139954505242636131, 'val': 1}
  • id: 369301
    {'lmfdb_iso': '8880.ba', 'p': 19, 'prec': 20, 'unit': 1973472568415558825155337, 'val': 1}
  • id: 369304
    {'lmfdb_iso': '8880.ba', 'p': 23, 'prec': 20, 'unit': 110974972801149303780330, 'val': 3}
  • id: 369296
    {'lmfdb_iso': '8880.ba', 'p': 29, 'prec': 20, 'unit': 4824843828746075356591866107, 'val': 1}
  • id: 369308
    {'lmfdb_iso': '8880.ba', 'p': 31, 'prec': 20, 'unit': 13392422772769146573580188371, 'val': 1}
  • id: 369294
    {'lmfdb_iso': '8880.ba', 'p': 41, 'prec': 20, 'unit': 1770038885686962574216954752443, 'val': 1}
  • id: 369295
    {'lmfdb_iso': '8880.ba', 'p': 43, 'prec': 20, 'unit': 582123440458148330698796607586, 'val': 1}
  • id: 369302
    {'lmfdb_iso': '8880.ba', 'p': 53, 'prec': 20, 'unit': 562918630838558019939959908199141, 'val': 1}
  • id: 369306
    {'lmfdb_iso': '8880.ba', 'p': 59, 'prec': 20, 'unit': 2409423243705286103315695578875864, 'val': 1}
  • id: 369307
    {'lmfdb_iso': '8880.ba', 'p': 61, 'prec': 20, 'unit': 3769581781110162620973816652337974, 'val': 1}
  • id: 369292
    {'lmfdb_iso': '8880.ba', 'p': 67, 'prec': 20, 'unit': 46168420521441623805705364308941264, 'val': 1}
  • id: 369293
    {'lmfdb_iso': '8880.ba', 'p': 71, 'prec': 20, 'unit': 68176730795323986789340411580660286, 'val': 1}
  • id: 369303
    {'lmfdb_iso': '8880.ba', 'p': 73, 'prec': 20, 'unit': 227473796397688301492568082811980146, 'val': 1}
  • id: 369298
    {'lmfdb_iso': '8880.ba', 'p': 79, 'prec': 20, 'unit': 128343946870641512629700294402965543, 'val': 1}
  • id: 369291
    {'lmfdb_iso': '8880.ba', 'p': 83, 'prec': 20, 'unit': 334622098608469298240433719204323272, 'val': 1}
  • id: 369305
    {'lmfdb_iso': '8880.ba', 'p': 89, 'prec': 20, 'unit': 7597261970689423282950292717017434596, 'val': 1}
  • id: 369290
    {'lmfdb_iso': '8880.ba', 'p': 97, 'prec': 20, 'unit': 34349993907283445310250773937183212020, 'val': 1}