Elliptic curve data - 28880.r2

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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': '28880g', 'Clabel': '28880g3', 'Cnumber': 3, 'abc_quality': 0.9489440826802981, 'absD': 31391059239941120, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 760, 'ainvs': [0, 0, 0, -81947, -2976806], 'analytic_rank': 1, 'bad_primes': [2, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 28880, 'degree': 184320, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8575388131937530684435926945', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [1263284964, 651605], 'lmfdb_iso': '28880.r', 'lmfdb_label': '28880.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -227, -434], 'min_quad_twist_disc': 76, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '10.6.0.a.1', '20.12.0.g.1', '40.24.0-20.g.1.5', '76.12.0.?', '152.24.0.?', '380.24.0.?', '760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0634776727493022908916022701', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19230332685608825274194778933', 'prec': 107}, 'szpiro_ratio': 4.435352947508051, '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, 0, 0, 1, 0, 0, 0, -3, 0, 4, 0, 6, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, 1, 0, 4, 6, -6, 0, -8, 2, 0, -2, -2, -4, 8, 6, -4, -2, 8, 8, 2, -8, -4, 14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 28880, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '28880.r', 'trace_hash': 56313786838302234}
• 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': '0.024353550563493113807790537734', 'prec': 107}, 'conductor': 28880, 'gens': [[-5111, 285912, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0634776727493022908916022701', 'prec': 100}], 'lmfdb_label': '28880.r2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29838910574670129547078462705', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.0435462989602101511315701283659721413', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-266, 0, 1]], 'xcoord_integral_points': [-266]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [4, 0], '7': [1, 1, 0], '11': [1, 0], '13': [3, 0], '17': [3, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '28880.r2'}
• ec_torsion_growth •

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

  
  
  • id: 1448366
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '28880.r2', 'torsion': [2, 2]}
  • id: 1448367
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '28880.r2', 'torsion': [4]}
  • id: 1448368
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '28880.r2', 'torsion': [4]}
  • id: 1448370
    {'degree': 4, 'field': [20, 0, -2, 0, 1], 'lmfdb_label': '28880.r2', 'torsion': [8]}
  • id: 1448369
    {'degree': 4, 'field': [36, 0, 7, 0, 1], 'lmfdb_label': '28880.r2', 'torsion': [2, 4]}
  • id: 1448374
    {'degree': 8, 'field': [-1083, 0, -1368, 0, 114, 0, 0, 0, 1], 'lmfdb_label': '28880.r2', 'torsion': [6]}
  • id: 1448372
    {'degree': 8, 'field': [26, -128, 252, -270, 191, -70, 28, -4, 1], 'lmfdb_label': '28880.r2', 'torsion': [8]}
  • id: 1448373
    {'degree': 8, 'field': [419, -236, 288, -96, 29, 20, -2, -4, 1], 'lmfdb_label': '28880.r2', 'torsion': [2, 8]}
  • id: 1448371
    {'degree': 8, 'field': [164025, 0, 0, 0, -1190, 0, 0, 0, 1], 'lmfdb_label': '28880.r2', 'torsion': [2, 4]}
  • id: 1448379
    {'degree': 16, 'field': [475, -1900, 5700, -7790, 7790, -570, 628, -1258, 1317, -1678, 1624, -126, -10, 70, 6, -4, 1], 'lmfdb_label': '28880.r2', 'torsion': [12]}
  • id: 1448376
    {'degree': 16, 'field': [9025, 18050, 18050, 7600, -10935, -3870, 17330, -13570, 5196, -48, -88, -10, 41, -20, 8, -4, 1], 'lmfdb_label': '28880.r2', 'torsion': [2, 8]}
  • id: 1448380
    {'degree': 16, 'field': [64426, -211936, 659406, -830408, 934904, -65646, 416314, 36050, -975, -7000, 1864, -114, 704, 58, 6, -4, 1], 'lmfdb_label': '28880.r2', 'torsion': [12]}
  • id: 1448377
    {'degree': 16, 'field': [225625, 0, -180500, 0, 37050, 0, -1900, 0, 1350, 0, -460, 0, 82, 0, -4, 0, 1], 'lmfdb_label': '28880.r2', 'torsion': [16]}
  • id: 1448375
    {'degree': 16, 'field': [648025, 0, -563400, 0, 350610, 0, -66060, 0, 24931, 0, -5436, 0, 606, 0, -36, 0, 1], 'lmfdb_label': '28880.r2', 'torsion': [4, 4]}
  • id: 1448378
    {'degree': 16, 'field': [6095125, 2477000, -812800, -2907000, 357890, 1434520, -683204, 185712, -57125, 4440, 1708, -1312, 158, 0, 20, -8, 1], 'lmfdb_label': '28880.r2', 'torsion': [2, 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: 671273
    {'conductor': 28880, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '28880.r2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 671274
    {'conductor': 28880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '28880.r2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 671275
    {'conductor': 28880, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '28880.r2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1857226
    {'adelic_gens': [[661, 664, 262, 659], [1, 0, 8, 1], [753, 8, 752, 9], [7, 6, 754, 755], [99, 98, 298, 675], [616, 3, 5, 2], [359, 752, 676, 727], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '760.48.0.?', 'conductor': 28880, 'lmfdb_label': '28880.r2', 'prime': 0}
  • id: 130652
    {'conductor': 28880, 'elladic_image': '8.12.0.6', 'lmfdb_label': '28880.r2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1392643
    {'lmfdb_iso': '28880.r', 'p': 11, 'prec': 20, 'unit': 21975672161970467110, 'val': 1}
  • id: 1392649
    {'lmfdb_iso': '28880.r', 'p': 13, 'prec': 20, 'unit': 9750985702884216387, 'val': 2}
  • id: 1392651
    {'lmfdb_iso': '28880.r', 'p': 17, 'prec': 20, 'unit': 12570320545847189180912, 'val': 2}
  • id: 1392656
    {'lmfdb_iso': '28880.r', 'p': 23, 'prec': 20, 'unit': 65443708308266380619698589, 'val': 1}
  • id: 1392648
    {'lmfdb_iso': '28880.r', 'p': 29, 'prec': 20, 'unit': 4216000967871190888489512085, 'val': 1}
  • id: 1392644
    {'lmfdb_iso': '28880.r', 'p': 37, 'prec': 20, 'unit': 36440125125180884325279497792, 'val': 1}
  • id: 1392646
    {'lmfdb_iso': '28880.r', 'p': 41, 'prec': 20, 'unit': 3619623879227063522922007720382, 'val': 1}
  • id: 1392647
    {'lmfdb_iso': '28880.r', 'p': 43, 'prec': 20, 'unit': 7018424876453085372251750662403, 'val': 1}
  • id: 1392658
    {'lmfdb_iso': '28880.r', 'p': 47, 'prec': 20, 'unit': 34050859781043654125302282592335, 'val': 1}
  • id: 1392653
    {'lmfdb_iso': '28880.r', 'p': 53, 'prec': 20, 'unit': 420526115796590472438575543780872, 'val': 1}
  • id: 1392654
    {'lmfdb_iso': '28880.r', 'p': 59, 'prec': 20, 'unit': 3086882597490310184933231955159358, 'val': 1}
  • id: 1392659
    {'lmfdb_iso': '28880.r', 'p': 61, 'prec': 20, 'unit': 3007135808446497535032726057715087, 'val': 1}
  • id: 1392652
    {'lmfdb_iso': '28880.r', 'p': 67, 'prec': 20, 'unit': 43253963986675337822270628011729689, 'val': 1}
  • id: 1392645
    {'lmfdb_iso': '28880.r', 'p': 71, 'prec': 20, 'unit': 143995533341027528814432176733721490, 'val': 1}
  • id: 1392655
    {'lmfdb_iso': '28880.r', 'p': 73, 'prec': 20, 'unit': 190530984458079602880378865997409826, 'val': 1}
  • id: 1392650
    {'lmfdb_iso': '28880.r', 'p': 79, 'prec': 20, 'unit': 452334134753279225361376863115972668, 'val': 1}
  • id: 1392642
    {'lmfdb_iso': '28880.r', 'p': 83, 'prec': 20, 'unit': 527165941116051391465785111904693060, 'val': 1}
  • id: 1392657
    {'lmfdb_iso': '28880.r', 'p': 89, 'prec': 20, 'unit': 3913703097407376177193484210539613399, 'val': 1}
  • id: 1392641
    {'lmfdb_iso': '28880.r', 'p': 97, 'prec': 20, 'unit': 24942502193006751951668421187250462195, 'val': 1}