Elliptic curve data - 162288.fc1

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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': '162288ci', 'Clabel': '162288ci4', 'Cnumber': 4, 'abc_quality': 1.0646600114779046, 'absD': 106023853729898496, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3864, 'ainvs': [0, 0, 0, -1742979, -885560830], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 162288, 'degree': 2359296, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2704226527988466576675321176', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 132, 'isogeny_degrees': [1, 2, 4], 'jinv': [1666957239793, 301806], 'lmfdb_iso': '162288.fc', 'lmfdb_label': '162288.fc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -247, 1391], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '168.24.0.?', '184.24.0.?', '1932.12.0.?', '3864.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 10143], [3, 8, 18032], [7, 26, 3312], [23, 24, 7056]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.055014253377189850000001005957', 'prec': 107}, 'szpiro_ratio': 4.561668652002143, '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, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 0, 2, 0, 0, 2, 2, -8, -1, 2, -8, 2, 10, -8, -8, -2, 4, -2, -8, 0, 6, -8, 16, 18, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 162288, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '162288.fc', 'trace_hash': 1365699480532377172}
• 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': '0.010664388075438786302637087075', 'prec': 107}, 'conductor': 162288, 'gens': [], 'heights': [], 'lmfdb_label': '162288.fc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13139572463969225437133536933', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1023315942350760699413659092138099219', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-770, 0, 1]], 'xcoord_integral_points': [-770]}
• lmfdb_label 162288.fc1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7252685
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [2, 2]}
  • id: 7252687
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [4]}
  • id: 7252686
    {'degree': 2, 'field': [121, -1, 1], 'lmfdb_label': '162288.fc1', 'torsion': [4]}
  • id: 7252688
    {'degree': 4, 'field': [484, 0, -2, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [2, 4]}
  • id: 7252692
    {'degree': 8, 'field': [-1037232, 0, 0, 0, 3528, 0, 49, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [6]}
  • id: 7252689
    {'degree': 8, 'field': [-321999, 51888, 19048, 736, 1570, -368, -88, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [2, 4]}
  • id: 7252690
    {'degree': 8, 'field': [7893, 1098, 156, -2442, 1057, 194, -60, -4, 1], 'lmfdb_label': '162288.fc1', 'torsion': [8]}
  • id: 7252691
    {'degree': 8, 'field': [108441, 11304, 8472, 912, 670, -24, 8, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [8]}
  • id: 7252697
    {'degree': 16, 'field': [66928761, 0, 11525976, 0, -847386, 0, -5495364, 0, 1485891, 0, 68124, 0, 1998, 0, 0, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [12]}
  • id: 7252698
    {'degree': 16, 'field': [207446409, 0, 1063839924, 0, -16951220, 0, -7018116, 0, -371586, 0, 59164, 0, 3516, 0, 84, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [12]}
  • id: 7252695
    {'degree': 16, 'field': [625352697, -191711016, 222610626, -64525500, 39175452, -8576256, 3356110, -486740, 202641, -62272, 20546, -4164, 512, 56, 12, -8, 1], 'lmfdb_label': '162288.fc1', 'torsion': [2, 8]}
  • id: 7252694
    {'degree': 16, 'field': [708620425, 878228320, 646151832, 319359232, 128401480, 40041712, 8747248, 445280, -335175, -78016, 16844, 9016, 1102, -184, -44, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [2, 8]}
  • id: 7252693
    {'degree': 16, 'field': [775232649, -799205472, 411959808, -115373520, 54730330, -32954216, 13474688, -2130720, 110271, -9016, 16928, 3680, -298, -184, 0, 0, 1], 'lmfdb_label': '162288.fc1', 'torsion': [4, 4]}
  • id: 7252696
    {'degree': 16, 'field': [453121062948, -1172080750152, 622745860264, 10333075652, -1565868779, -3951624804, 305753880, 55367448, 13879753, -3549028, 51622, 18924, 663, 636, -122, -4, 1], 'lmfdb_label': '162288.fc1', '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: 4016131
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '162288.fc1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016132
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '162288.fc1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016133
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162288.fc1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016134
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '162288.fc1', 'prime': 23, '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: 2713515
    {'adelic_gens': [[1, 8, 0, 1], [1952, 567, 1743, 776], [3857, 8, 3856, 9], [1492, 3129, 2415, 190], [1, 0, 8, 1], [1103, 0, 0, 3863], [7, 6, 3858, 3859], [2575, 0, 0, 3863], [2416, 2331, 441, 3046], [1, 4, 4, 17]], 'adelic_image': '3864.48.0.?', 'conductor': 162288, 'lmfdb_label': '162288.fc1', 'prime': 0}
  • id: 617365
    {'conductor': 162288, 'elladic_image': '8.12.0.9', 'lmfdb_label': '162288.fc1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162288.fc does not appear in ec_padic