Elliptic curve data - 2880.f2

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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': '2880ba', 'Clabel': '2880ba4', 'Cnumber': 4, 'abc_quality': 0.9589363178944194, 'absD': 186624000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1308, -27632], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2880, 'degree': 2304, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.86180937371253502963845127781', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-20720464, 15625], 'lmfdb_iso': '2880.f', 'lmfdb_label': '2880.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -140], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0-12.d.1.7', '20.12.0.d.1', '24.96.0-24.bh.2.10', '40.24.0.bc.1', '60.96.1-60.h.1.8', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9573599506213921031775544256', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 6, 64], [5, 6, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49616848127478934371260881569', 'prec': 107}, 'szpiro_ratio': 4.265446079800686, '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, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, -1, -2, 0, -2, 6, -4, 6, 6, 4, -2, -6, -10, -6, -6, -12, -2, 2, -12, 2, -8, -6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 2880, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2880.f', 'trace_hash': 1092328154931438191}
• 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': '0.17841932380222583819909567209', 'prec': 103}, 'conductor': 2880, 'gens': [[62, 360, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9573599506213921031775544256', 'prec': 100}], 'lmfdb_label': '2880.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38434877444447954375118946508', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0092355926721562033544866003868257807', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[44, 0, 1]], 'xcoord_integral_points': [44, 62, 294]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [5, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2880.f2'}
• ec_torsion_growth •

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

  
  
  • id: 150359
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 2]}
  • id: 150360
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [6]}
  • id: 150361
    {'degree': 4, 'field': [-36, 0, -6, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [4]}
  • id: 150362
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 6]}
  • id: 150363
    {'degree': 6, 'field': [-6, 0, 12, 0, -6, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [6]}
  • id: 150365
    {'degree': 8, 'field': [25, 0, -20, 0, 11, 0, -4, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 4]}
  • id: 150366
    {'degree': 8, 'field': [25, 0, 30, 0, 14, 0, 6, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [12]}
  • id: 150364
    {'degree': 8, 'field': [81, 0, 0, 0, 27, 0, 0, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 4]}
  • id: 150367
    {'degree': 12, 'field': [4, 0, -24, 0, 60, 0, -44, 0, 0, 0, 6, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [3, 6]}
  • id: 150368
    {'degree': 12, 'field': [9, 0, 0, 0, 27, 0, 0, 0, 3, 0, 0, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 6]}
  • id: 150370
    {'degree': 16, 'field': [-779, 1780, 852, -2788, -1488, 1928, 1644, -744, -775, 264, 112, -104, 22, 28, -8, -4, 1], 'lmfdb_label': '2880.f2', 'torsion': [8]}
  • id: 150372
    {'degree': 16, 'field': [1, -4, 6, -16, 44, -56, 60, -88, 83, -52, 36, -12, -4, 0, 2, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 12]}
  • id: 150369
    {'degree': 16, 'field': [1, 0, 0, 0, -3, 0, 0, 0, 8, 0, 0, 0, -3, 0, 0, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [4, 4]}
  • id: 150371
    {'degree': 16, 'field': [1, 8, 38, 156, 472, 928, 1224, 1208, 939, 524, 216, 76, -8, -12, 2, -4, 1], 'lmfdb_label': '2880.f2', 'torsion': [2, 12]}
  • id: 150373
    {'degree': 18, 'field': [72, 0, 432, 0, -1440, 0, 552, 0, 1728, 0, 1644, 0, 554, 0, 180, 0, 24, 0, 1], 'lmfdb_label': '2880.f2', 'torsion': [18]}
• 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: 51402
    {'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '2880.f2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 51403
    {'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2880.f2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 51404
    {'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2880.f2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1682764
    {'adelic_gens': [[97, 24, 96, 25], [1, 0, 24, 1], [13, 24, 12, 13], [15, 16, 74, 95], [59, 96, 114, 95], [21, 116, 49, 55], [1, 24, 0, 1], [79, 96, 20, 119], [15, 22, 14, 83]], 'adelic_image': '120.384.9.?', 'conductor': 2880, 'lmfdb_label': '2880.f2', 'prime': 0}
  • id: 14423
    {'conductor': 2880, 'elladic_image': '4.6.0.5', 'lmfdb_label': '2880.f2', 'modell_image': '2B', 'prime': 2}
  • id: 14424
    {'conductor': 2880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2880.f2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 92858
    {'lmfdb_iso': '2880.f', 'p': 7, 'prec': 20, 'unit': 11144213747343940, 'val': 1}
  • id: 92862
    {'lmfdb_iso': '2880.f', 'p': 13, 'prec': 20, 'unit': 389749731706723947831, 'val': 1}
  • id: 92864
    {'lmfdb_iso': '2880.f', 'p': 17, 'prec': 20, 'unit': 113826447247914193713025, 'val': 1}
  • id: 92865
    {'lmfdb_iso': '2880.f', 'p': 19, 'prec': 20, 'unit': 624754765780994633236553, 'val': 1}
  • id: 92869
    {'lmfdb_iso': '2880.f', 'p': 23, 'prec': 20, 'unit': 36274095238156862089069806, 'val': 1}
  • id: 92861
    {'lmfdb_iso': '2880.f', 'p': 29, 'prec': 20, 'unit': 198829615076507380537800460, 'val': 2}
  • id: 92874
    {'lmfdb_iso': '2880.f', 'p': 31, 'prec': 20, 'unit': 11945665291211349876344035503, 'val': 1}
  • id: 92857
    {'lmfdb_iso': '2880.f', 'p': 37, 'prec': 20, 'unit': 495955951114074867639651675784, 'val': 1}
  • id: 92859
    {'lmfdb_iso': '2880.f', 'p': 41, 'prec': 20, 'unit': 664936232016542779146012286545, 'val': 1}
  • id: 92860
    {'lmfdb_iso': '2880.f', 'p': 43, 'prec': 20, 'unit': 9437729408807096603618911949167, 'val': 1}
  • id: 92872
    {'lmfdb_iso': '2880.f', 'p': 47, 'prec': 20, 'unit': 13389135167304268380294776382511, 'val': 1}
  • id: 92866
    {'lmfdb_iso': '2880.f', 'p': 53, 'prec': 20, 'unit': 72304472326090915010423677600463, 'val': 1}
  • id: 92867
    {'lmfdb_iso': '2880.f', 'p': 59, 'prec': 20, 'unit': 608088842273557960748373602747158, 'val': 1}
  • id: 92873
    {'lmfdb_iso': '2880.f', 'p': 61, 'prec': 20, 'unit': 1846441441069626658366147809012407, 'val': 1}
  • id: 92856
    {'lmfdb_iso': '2880.f', 'p': 67, 'prec': 20, 'unit': 31570951686441083130521516602382023, 'val': 1}
  • id: 92871
    {'lmfdb_iso': '2880.f', 'p': 71, 'prec': 20, 'unit': 94051426197058806273801587765967790, 'val': 1}
  • id: 92868
    {'lmfdb_iso': '2880.f', 'p': 73, 'prec': 20, 'unit': 5573320869376352981530424606529652, 'val': 1}
  • id: 92863
    {'lmfdb_iso': '2880.f', 'p': 79, 'prec': 20, 'unit': 37284352385019286034544160459826238, 'val': 1}
  • id: 92855
    {'lmfdb_iso': '2880.f', 'p': 83, 'prec': 20, 'unit': 400257361448212174423796318947084839, 'val': 1}
  • id: 92870
    {'lmfdb_iso': '2880.f', 'p': 89, 'prec': 20, 'unit': 1658695797882747333915054842185512937, 'val': 1}
  • id: 92854
    {'lmfdb_iso': '2880.f', 'p': 97, 'prec': 20, 'unit': 47112194329872653205782286906917301870, 'val': 1}