Elliptic curve data - 56448.bp1

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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': '56448cv', 'Clabel': '56448cv1', 'Cnumber': 1, 'abc_quality': 0.9254651551988543, 'absD': 65868380928, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, -1470, -17836], 'analytic_rank': 0, 'bad_primes': [2, 3, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 56448, 'degree': 46080, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79381630350777665873172306530', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 2], 'jinv': [16000, 3], 'lmfdb_iso': '56448.bp', 'lmfdb_label': '56448.bp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3, 3], 'min_quad_twist_disc': -84, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '12.6.0.a.1', '24.12.0.w.1'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1905430357272317124633973392', 'prec': 103}, 'szpiro_ratio': 3.0611850887975343, '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, -4, 0, 6, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, 0, 0, 0, -4, 6, 6, 0, -4, 4, -10, -2, -2, -8, -12, -12, 4, 2, -4, 4, 10, -6, -12, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 56448, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '56448.bp', 'trace_hash': 287734356905728128}
• 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': '0.20440895570359936512881172258', 'prec': 103}, 'conductor': 56448, 'gens': [], 'heights': [], 'lmfdb_label': '56448.bp1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.78103063312427339542299648111', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5620612662485467908459929622185295229', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-14, 0, 1]], 'xcoord_integral_points': [-14]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '56448.bp1'}
• ec_torsion_growth •

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

  
  
  • id: 2722222
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '56448.bp1', 'torsion': [2, 2]}
  • id: 2722223
    {'degree': 4, 'field': [147, 0, -14, 0, 1], 'lmfdb_label': '56448.bp1', 'torsion': [4]}
  • id: 2722226
    {'degree': 8, 'field': [-7203, 0, -16464, 0, 882, 0, -56, 0, 1], 'lmfdb_label': '56448.bp1', 'torsion': [6]}
  • id: 2722225
    {'degree': 8, 'field': [121, 0, -58, 0, 24, 0, -10, 0, 1], 'lmfdb_label': '56448.bp1', 'torsion': [2, 4]}
  • id: 2722224
    {'degree': 8, 'field': [361, 532, 640, 316, 60, -4, -8, -4, 1], 'lmfdb_label': '56448.bp1', 'torsion': [2, 4]}
  • id: 2722228
    {'degree': 16, 'field': [22500, 0, -5655600, 0, -3035504, 0, -442896, 0, 31668, 0, 12040, 0, 528, 0, -24, 0, 1], 'lmfdb_label': '56448.bp1', 'torsion': [2, 6]}
  • id: 2722227
    {'degree': 16, 'field': [409648, -1059968, 1099200, -968960, 806272, -477824, 380512, -145216, 77400, -21856, 9680, -1568, 784, -64, 40, 0, 1], 'lmfdb_label': '56448.bp1', '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: 1357035
    {'conductor': 56448, 'conductor_valuation': 7, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '56448.bp1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1357036
    {'conductor': 56448, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '56448.bp1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1357037
    {'conductor': 56448, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '56448.bp1', '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: 2038887
    {'adelic_gens': [[1, 2, 2, 5], [13, 4, 2, 9], [21, 4, 20, 5], [3, 4, 8, 11], [4, 1, 17, 18], [1, 4, 0, 1], [10, 1, 7, 0], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 56448, 'lmfdb_label': '56448.bp1', 'prime': 0}
  • id: 239846
    {'conductor': 56448, 'elladic_image': '8.6.0.4', 'lmfdb_label': '56448.bp1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 56448.bp does not appear in ec_padic