Elliptic curve data - 5280.c2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '5280m', 'Clabel': '5280m1', 'Cnumber': 1, 'abc_quality': 0.8049951435456074, 'absD': 158400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 660, 'ainvs': [0, -1, 0, 10, 12], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5280, 'degree': 512, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.31705734332440974232788780043', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1560896, 2475], 'lmfdb_iso': '5280.c', 'lmfdb_label': '5280.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 10, 12], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '22.6.0.a.1', '60.6.0.b.1', '660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.68708464368327464287226466864', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 11], [3, 4, 1760], [5, 6, 1056], [11, 12, 480]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66363093360438239703650386116', 'prec': 107}, 'szpiro_ratio': 2.21351187362991, '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, -4, 0, 1, 0, -1, 0, 0, 0, -1, 0, -2, 0, 2, 0], 'aplist': [0, -1, 1, -4, -1, 0, -2, 2, 4, 0, 4, 2, 12, -4, -8, 10, -12, -2, -4, -8, 0, 10, -6, -14, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 5280, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5280.c', 'trace_hash': 843196288737532295}
• 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': '1.8853522748496002770303773805', 'prec': 100}, 'conductor': 5280, 'gens': [[2, 6, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.68708464368327464287226466864', 'prec': 103}], 'lmfdb_label': '5280.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.2067896061904429654139909736', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0325025005066289499346676818704837091', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1, 0, 1]], 'xcoord_integral_points': [-1, 2, 4, 59]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5280.c2'}
• ec_torsion_growth •

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

  
  
  • id: 275666
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '5280.c2', 'torsion': [2, 2]}
  • id: 275667
    {'degree': 4, 'field': [25, -10, -4, -2, 1], 'lmfdb_label': '5280.c2', 'torsion': [4]}
  • id: 275670
    {'degree': 8, 'field': [-2523, 0, 1648, 0, 174, 0, 0, 0, 1], 'lmfdb_label': '5280.c2', 'torsion': [6]}
  • id: 275669
    {'degree': 8, 'field': [1089, 0, 968, 0, 275, 0, 22, 0, 1], 'lmfdb_label': '5280.c2', 'torsion': [2, 4]}
  • id: 275668
    {'degree': 8, 'field': [2341, 570, -270, 330, 83, -30, 0, 0, 1], 'lmfdb_label': '5280.c2', 'torsion': [2, 4]}
  • id: 275672
    {'degree': 16, 'field': [455625, 0, 1576800, 0, 1426500, 0, -43200, 0, 8862, 0, 1888, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '5280.c2', 'torsion': [2, 6]}
  • id: 275671
    {'degree': 16, 'field': [48455521, 0, -13593568, 0, -2761052, 0, -1134496, 0, -126170, 0, -13216, 0, -1052, 0, 32, 0, 1], 'lmfdb_label': '5280.c2', '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: 102849
    {'conductor': 5280, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '5280.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 102850
    {'conductor': 5280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5280.c2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 102851
    {'conductor': 5280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5280.c2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 102852
    {'conductor': 5280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5280.c2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1698410
    {'adelic_gens': [[1, 0, 4, 1], [422, 1, 119, 0], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [221, 4, 442, 9], [397, 4, 134, 9], [169, 496, 164, 495], [657, 4, 656, 5]], 'adelic_image': '660.12.0.?', 'conductor': 5280, 'lmfdb_label': '5280.c2', 'prime': 0}
  • id: 26185
    {'conductor': 5280, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5280.c2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 196368
    {'lmfdb_iso': '5280.c', 'p': 7, 'prec': 20, 'unit': 3660366829825815, 'val': 1}
  • id: 196372
    {'lmfdb_iso': '5280.c', 'p': 17, 'prec': 20, 'unit': 84225877417970763089083, 'val': 1}
  • id: 196364
    {'lmfdb_iso': '5280.c', 'p': 19, 'prec': 20, 'unit': 688661098822383936481892, 'val': 1}
  • id: 196376
    {'lmfdb_iso': '5280.c', 'p': 23, 'prec': 20, 'unit': 18200812067489138944713256, 'val': 1}
  • id: 196381
    {'lmfdb_iso': '5280.c', 'p': 31, 'prec': 20, 'unit': 9339107241961575213133597494, 'val': 1}
  • id: 196367
    {'lmfdb_iso': '5280.c', 'p': 37, 'prec': 20, 'unit': 573232473541042567688568864998, 'val': 1}
  • id: 196369
    {'lmfdb_iso': '5280.c', 'p': 41, 'prec': 20, 'unit': 3879918829341364679927268444220, 'val': 1}
  • id: 196370
    {'lmfdb_iso': '5280.c', 'p': 43, 'prec': 20, 'unit': 8731290471071253135262381087938, 'val': 1}
  • id: 196379
    {'lmfdb_iso': '5280.c', 'p': 47, 'prec': 20, 'unit': 31387251563450682580122833644185, 'val': 1}
  • id: 196374
    {'lmfdb_iso': '5280.c', 'p': 53, 'prec': 20, 'unit': 574066522928128096361811941135616, 'val': 1}
  • id: 196375
    {'lmfdb_iso': '5280.c', 'p': 59, 'prec': 20, 'unit': 1810529742817703703413763883930821, 'val': 1}
  • id: 196380
    {'lmfdb_iso': '5280.c', 'p': 61, 'prec': 20, 'unit': 6776858521124052864339612336306308, 'val': 1}
  • id: 196366
    {'lmfdb_iso': '5280.c', 'p': 67, 'prec': 20, 'unit': 46772099590636876404801088653228653, 'val': 1}
  • id: 196378
    {'lmfdb_iso': '5280.c', 'p': 71, 'prec': 20, 'unit': 33788673930359287569902567737252187, 'val': 1}
  • id: 196371
    {'lmfdb_iso': '5280.c', 'p': 79, 'prec': 20, 'unit': 10145273525227779535868034531645608, 'val': 1}
  • id: 196373
    {'lmfdb_iso': '5280.c', 'p': 83, 'prec': 20, 'unit': 1328550199055687848469813653881140612, 'val': 1}
  • id: 196377
    {'lmfdb_iso': '5280.c', 'p': 89, 'prec': 20, 'unit': 4543896940071367896529743641884563144, 'val': 1}
  • id: 196365
    {'lmfdb_iso': '5280.c', 'p': 97, 'prec': 20, 'unit': 33738662207491993810135080331126668209, 'val': 1}