Elliptic curve data - 54150.bz1

Formats: - HTML - YAML - JSON - 2024-04-28T09:33:55.607586

• 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': '54150bm', 'Clabel': '54150bm1', 'Cnumber': 1, 'abc_quality': 0.8712335023851633, 'absD': 716494065792187500, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [1, 1, 1, -325088, 82012781], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 54150, 'degree': 1181952, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1502140736391022302457694045', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 51, 'isogeny_degrees': [1, 3], 'jinv': [-14317849, 2700], 'lmfdb_iso': '54150.bz', 'lmfdb_label': '54150.bz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -36, -111], 'min_quad_twist_disc': -95, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0.b.1', '15.8.0-3.a.1.2', '30.16.0-6.b.1.2'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61746420202224159706062855004', 'prec': 107}, 'szpiro_ratio': 4.584720088214407, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, -1, 1, 0, -1, 1, 1, 1, 0, 6, -1, -5, 1, 0, 1, 0, 1, 0, 0], 'aplist': [1, -1, 0, 1, 6, -5, 0, 0, -6, 6, 5, -11, 6, 1, -12, 12, 6, -7, 1, 0, 1, -7, 6, -12, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 54150, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '54150.bz', 'trace_hash': 1359139733597754073}
• 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': '0.013562750914040134453779005108', 'prec': 107}, 'conductor': 54150, 'gens': [], 'heights': [], 'lmfdb_label': '54150.bz1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.27410868988536669037717937257', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2893042786244002845261524708125752907', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [4, 0], '5': 'a', '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0, 0], '19': 'a', '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '54150.bz1'}
• ec_torsion_growth •

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

  
  
  • id: 2618574
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '54150.bz1', 'torsion': [3]}
  • id: 2618575
    {'degree': 3, 'field': [-12, -6, -1, 1], 'lmfdb_label': '54150.bz1', 'torsion': [2]}
  • id: 2618576
    {'degree': 6, 'field': [12, 6, -5, -3, 4, -3, 1], 'lmfdb_label': '54150.bz1', 'torsion': [2, 2]}
  • id: 2618578
    {'degree': 6, 'field': [179, -85, 28, 39, -16, -1, 1], 'lmfdb_label': '54150.bz1', 'torsion': [6]}
  • id: 2618577
    {'degree': 6, 'field': [10774, 62, -440, 185, 5, -3, 1], 'lmfdb_label': '54150.bz1', 'torsion': [3]}
  • id: 2618579
    {'degree': 12, 'field': [-35424, 59328, -27976, 21728, -7558, 438, -2297, 608, 197, -18, 1, -4, 1], 'lmfdb_label': '54150.bz1', 'torsion': [4]}
  • id: 2618581
    {'degree': 12, 'field': [64, 312, 611, 507, -144, -249, 235, -144, 33, -15, 8, -3, 1], 'lmfdb_label': '54150.bz1', 'torsion': [2, 6]}
  • id: 2618580
    {'degree': 12, 'field': [1592644, 552756, 152288, 30660, -21120, -5664, 4339, -1113, 90, -15, 8, -3, 1], 'lmfdb_label': '54150.bz1', 'torsion': [3, 3]}
  • id: 2618583
    {'degree': 18, 'field': [13824, 13824, -8064, 3168, 3120, 744, 9124, -18384, 22148, -16200, 9906, -4674, 1669, -513, 90, 3, 8, -3, 1], 'lmfdb_label': '54150.bz1', 'torsion': [6]}
  • id: 2618582
    {'degree': 18, 'field': [76561964, 81593772, 50975784, 45847094, -10335846, -15347082, -13317947, 5943696, 3043428, -801315, -275892, 20904, 8513, 3138, 228, -184, -9, -3, 1], 'lmfdb_label': '54150.bz1', 'torsion': [9]}
• 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: 1299812
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '54150.bz1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1299813
    {'conductor': 54150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '54150.bz1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1299814
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '54150.bz1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1299815
    {'conductor': 54150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '54150.bz1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 2023890
    {'adelic_gens': [[9, 10, 20, 29], [1, 0, 6, 1], [4, 3, 9, 7], [6, 25, 25, 6], [25, 6, 24, 7], [3, 4, 8, 11], [23, 0, 0, 29], [1, 6, 0, 1]], 'adelic_image': '30.16.0.?', 'conductor': 54150, 'lmfdb_label': '54150.bz1', 'prime': 0}
  • id: 231046
    {'conductor': 54150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '54150.bz1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 54150.bz does not appear in ec_padic