Elliptic curve data - 5880.x2

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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': '5880j', 'Clabel': '5880j2', 'Cnumber': 2, 'abc_quality': 0.8855370473342872, 'absD': 320060160, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 1, 0, 124, 720], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5880, 'degree': 1536, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31732498603070954933344242465', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [2382032, 3645], 'lmfdb_iso': '5880.x', 'lmfdb_label': '5880.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 124, 720], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.d.1', '70.6.0.a.1', '84.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.64181411071897634286642130119', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63125067160641564988771717552', 'prec': 107}, 'szpiro_ratio': 3.060567919611021, '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, -1, 0, 0, 0, 1, 0, 0, 0, 2, 0, -1, 0, 2, 0, -6, 0], 'aplist': [0, 1, -1, 0, 0, 2, 2, -6, -6, -2, -2, 2, 2, -8, 0, 0, 0, 0, -8, 0, -10, -8, 12, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 5880, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5880.x', 'trace_hash': 1771274781002192570}
• 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': '0.53012101301164406203027204693', 'prec': 103}, 'conductor': 5880, 'gens': [[4, 36, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.64181411071897634286642130119', 'prec': 103}], 'lmfdb_label': '5880.x2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1677120719853000945226343737', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4967245103423520097155368479837846920', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-5, 0, 1]], 'xcoord_integral_points': [-5, 4, 16, 79]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [8, 0], '5': [1, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '5880.x2'}
• ec_torsion_growth •

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

  
  
  • id: 306391
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '5880.x2', 'torsion': [2, 2]}
  • id: 306392
    {'degree': 4, 'field': [-35, 0, 7, 0, 1], 'lmfdb_label': '5880.x2', 'torsion': [4]}
  • id: 306395
    {'degree': 8, 'field': [81, 0, -108, -252, -198, -84, -12, 0, 1], 'lmfdb_label': '5880.x2', 'torsion': [6]}
  • id: 306393
    {'degree': 8, 'field': [2801, 66, -95, 54, -16, -16, 10, -4, 1], 'lmfdb_label': '5880.x2', 'torsion': [2, 4]}
  • id: 306394
    {'degree': 8, 'field': [7056, 0, 588, 0, 49, 0, 7, 0, 1], 'lmfdb_label': '5880.x2', 'torsion': [2, 4]}
  • id: 306397
    {'degree': 16, 'field': [11034465, -13757280, 20512596, -15157846, 11911298, -5814372, 3010924, -1016024, 380649, -94182, 29238, -6516, 1814, -364, 72, -8, 1], 'lmfdb_label': '5880.x2', 'torsion': [2, 6]}
  • id: 306396
    {'degree': 16, 'field': [18705625, 0, -31335800, 0, -3941750, 0, -372560, 0, -210425, 0, 2512, 0, 286, 0, -8, 0, 1], 'lmfdb_label': '5880.x2', 'torsion': [8]}
• 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: 116318
    {'conductor': 5880, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '5880.x2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 116319
    {'conductor': 5880, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5880.x2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 116320
    {'conductor': 5880, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5880.x2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 116321
    {'conductor': 5880, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '5880.x2', 'prime': 7, 'reduction_type': 0, '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: 1702519
    {'adelic_gens': [[281, 4, 142, 9], [1, 2, 2, 5], [124, 1, 179, 0], [1, 4, 0, 1], [317, 106, 104, 315], [417, 4, 416, 5], [1, 0, 4, 1], [3, 4, 8, 11], [254, 1, 83, 0]], 'adelic_image': '420.12.0.?', 'conductor': 5880, 'lmfdb_label': '5880.x2', 'prime': 0}
  • id: 29051
    {'conductor': 5880, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5880.x2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 226180
    {'lmfdb_iso': '5880.x', 'p': 13, 'prec': 20, 'unit': 208318349809719547519, 'val': 1}
  • id: 226182
    {'lmfdb_iso': '5880.x', 'p': 17, 'prec': 20, 'unit': 235949662117356513704475, 'val': 1}
  • id: 226174
    {'lmfdb_iso': '5880.x', 'p': 19, 'prec': 20, 'unit': 1159431291755071433510568, 'val': 1}
  • id: 226185
    {'lmfdb_iso': '5880.x', 'p': 23, 'prec': 20, 'unit': 72254212517621245617636498, 'val': 1}
  • id: 226187
    {'lmfdb_iso': '5880.x', 'p': 29, 'prec': 20, 'unit': 1152798856962147034657184346, 'val': 1}
  • id: 226188
    {'lmfdb_iso': '5880.x', 'p': 31, 'prec': 20, 'unit': 20443149436747261114173628363, 'val': 1}
  • id: 226177
    {'lmfdb_iso': '5880.x', 'p': 37, 'prec': 20, 'unit': 352894967516321727634624783492, 'val': 1}
  • id: 226178
    {'lmfdb_iso': '5880.x', 'p': 41, 'prec': 20, 'unit': 1467049673754911655537289372828, 'val': 1}
  • id: 226179
    {'lmfdb_iso': '5880.x', 'p': 43, 'prec': 20, 'unit': 4871830209832175097739186601427, 'val': 1}
  • id: 226176
    {'lmfdb_iso': '5880.x', 'p': 67, 'prec': 20, 'unit': 39774048558430111123227693549425047, 'val': 1}
  • id: 226184
    {'lmfdb_iso': '5880.x', 'p': 73, 'prec': 20, 'unit': 191610412478407541899324125286836699, 'val': 1}
  • id: 226181
    {'lmfdb_iso': '5880.x', 'p': 79, 'prec': 20, 'unit': 739100164442980333712470470185315897, 'val': 1}
  • id: 226183
    {'lmfdb_iso': '5880.x', 'p': 83, 'prec': 20, 'unit': 2394358059685898251592455379295229483, 'val': 1}
  • id: 226186
    {'lmfdb_iso': '5880.x', 'p': 89, 'prec': 20, 'unit': 8245474509810414536123946703278239380, 'val': 1}
  • id: 226175
    {'lmfdb_iso': '5880.x', 'p': 97, 'prec': 20, 'unit': 30350778075124412030169352094538107817, 'val': 1}