Elliptic curve data - 8800.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': '8800h', 'Clabel': '8800h1', 'Cnumber': 1, 'abc_quality': 1.036532243214289, 'absD': 378125000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -104258, -12992012], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 8800, 'degree': 23040, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4492692851180428922696666828', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [125330290485184, 378125], 'lmfdb_iso': '8800.f', 'lmfdb_label': '8800.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4170, 102268], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '44.6.0.b.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 14, 352], [11, 12, 800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29797673862102005026067095546', 'prec': 103}, 'szpiro_ratio': 5.095232433941449, '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, -2, 0, 0, 0, 0, 0, 1, 0, 1, 0, -4, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, -2, 0, 0, 1, -4, 4, 4, -2, 6, 4, -2, -2, -4, 2, -2, -4, -2, -10, 8, -4, 16, 4, -10, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 8800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '8800.f', 'trace_hash': 552394669292130536}
• 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': '0.055103691415201100536995624256', 'prec': 107}, 'conductor': 8800, 'gens': [], 'heights': [], 'lmfdb_label': '8800.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26568799949246504952865681327', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0627519979698601981146272530790369545', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-187, 0, 1]], 'xcoord_integral_points': [-187]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '11': [3, 0]}, 'iwp0': 3, 'lmfdb_label': '8800.f2'}
• ec_torsion_growth •

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

  
  
  • id: 459162
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '8800.f2', 'torsion': [2, 2]}
  • id: 459163
    {'degree': 4, 'field': [25, -10, 0, -2, 1], 'lmfdb_label': '8800.f2', 'torsion': [4]}
  • id: 459166
    {'degree': 8, 'field': [-2700, 0, -1680, 0, 100, 0, -20, 0, 1], 'lmfdb_label': '8800.f2', 'torsion': [6]}
  • id: 459164
    {'degree': 8, 'field': [25, 0, 50, 0, -90, 0, 10, 0, 1], 'lmfdb_label': '8800.f2', 'torsion': [2, 4]}
  • id: 459165
    {'degree': 8, 'field': [229, -374, 350, -22, 55, -22, -8, 0, 1], 'lmfdb_label': '8800.f2', 'torsion': [2, 4]}
  • id: 459168
    {'degree': 16, 'field': [88209, 0, 141912, 0, 48960, 0, -33696, 0, 910, 0, 936, 0, -112, 0, 0, 0, 1], 'lmfdb_label': '8800.f2', 'torsion': [2, 6]}
  • id: 459167
    {'degree': 16, 'field': [3632000, 16128000, 32070400, 36896000, 26518080, 11770240, 2691840, -119680, -277056, -72608, -2128, 2976, 944, -80, 0, -8, 1], 'lmfdb_label': '8800.f2', '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: 183906
    {'conductor': 8800, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '8800.f2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 183907
    {'conductor': 8800, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '8800.f2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 183908
    {'conductor': 8800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '8800.f2', 'prime': 11, '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: 1722150
    {'adelic_gens': [[134, 1, 43, 0], [1, 2, 2, 5], [217, 4, 216, 5], [3, 4, 8, 11], [101, 4, 202, 9], [1, 4, 0, 1], [169, 56, 164, 55], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 8800, 'lmfdb_label': '8800.f2', 'prime': 0}
  • id: 42969
    {'conductor': 8800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '8800.f2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 8800.f does not appear in ec_padic