Elliptic curve data - 162288.dh2

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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': '162288fe', 'Clabel': '162288fe1', 'Cnumber': 1, 'abc_quality': 1.0516056711569626, 'absD': 413063926641717378048, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 0, 0, 1848525, -142792958], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 162288, 'degree': 4423680, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6452002118311864289299070989', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 85, 'isogeny_degrees': [1, 2], 'jinv': [7953970437500, 4703287687], 'lmfdb_iso': '162288.dh', 'lmfdb_label': '162288.dh2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4192, 16816], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '56.12.0.n.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.54531634250285383949858134083', 'prec': 103}, 'szpiro_ratio': 4.576370247189737, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, 0], 'aplist': [0, 0, 0, 0, 0, 0, -6, 6, 1, 6, 8, 2, -2, 8, 8, 2, 6, 0, 12, -8, 6, 16, -6, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 162288, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '162288.dh', 'trace_hash': 1644102218943332146}
• 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': '0.0050397418237247181659742707678', 'prec': 110}, 'conductor': 162288, 'gens': [], 'heights': [], 'lmfdb_label': '162288.dh2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.098472294160958554730065622368', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1511134131506737513620999157812623491', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[77, 0, 1]], 'xcoord_integral_points': [77]}
• lmfdb_label 162288.dh2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7253277
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '162288.dh2', 'torsion': [2, 2]}
  • id: 7253278
    {'degree': 4, 'field': [-14, -12, 2, 0, 1], 'lmfdb_label': '162288.dh2', 'torsion': [4]}
  • id: 7253279
    {'degree': 8, 'field': [4, 0, 11, 0, 5, 0, -5, 0, 1], 'lmfdb_label': '162288.dh2', 'torsion': [2, 4]}
  • id: 7253280
    {'degree': 8, 'field': [49, 0, -42, 0, 2, 0, 6, 0, 1], 'lmfdb_label': '162288.dh2', 'torsion': [2, 4]}
  • id: 7253281
    {'degree': 8, 'field': [269910, 84712, -3458, -1260, -2954, 910, -84, -2, 1], 'lmfdb_label': '162288.dh2', 'torsion': [6]}
  • id: 7253283
    {'degree': 16, 'field': [291600, 0, 4052032, 0, 10183168, 0, 2821440, 0, 376184, 0, -9424, 0, 1380, 0, -56, 0, 1], 'lmfdb_label': '162288.dh2', 'torsion': [2, 6]}
  • id: 7253282
    {'degree': 16, 'field': [9186961, 0, -4118268, 0, 1025462, 0, 923248, 0, -434457, 0, 25576, 0, 258, 0, -44, 0, 1], 'lmfdb_label': '162288.dh2', '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: 4016519
    {'conductor': 162288, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '162288.dh2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4016520
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '162288.dh2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4016521
    {'conductor': 162288, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '162288.dh2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4016522
    {'conductor': 162288, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '162288.dh2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2713440
    {'adelic_gens': [[1, 2, 2, 5], [29, 4, 2, 9], [3, 4, 8, 11], [9, 50, 48, 7], [34, 1, 39, 0], [53, 4, 52, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 162288, 'lmfdb_label': '162288.dh2', 'prime': 0}
  • id: 617314
    {'conductor': 162288, 'elladic_image': '8.6.0.1', 'lmfdb_label': '162288.dh2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 162288.dh does not appear in ec_padic