Elliptic curve data - 2450.bb1

Formats: - HTML - YAML - JSON - 2024-06-10T13:35:46.977150

• 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': '2450be', 'Clabel': '2450be2', 'Cnumber': 2, 'abc_quality': 1.0876250170823247, 'absD': 784000000000, 'adelic_genus': 9, 'adelic_index': 336, 'adelic_level': 3640, 'ainvs': [1, -1, 1, -170680, -27098053], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 13, 'class_size': 2, 'cm': 0, 'conductor': 2450, 'degree': 9360, 'elladic_images': ['13.14.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5537514904405221040746652588', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 13, 'iso_nlabel': 27, 'isogeny_degrees': [1, 13], 'jinv': [-5745702166029, 8192], 'lmfdb_iso': '2450.bb', 'lmfdb_label': '2450.bb1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -6827, -215419], 'min_quad_twist_disc': 5, 'modell_images': ['13B'], 'modm_images': ['13.14.0.a.1', '40.2.0.a.1', '65.28.0.a.2', '91.42.0.?', '104.28.0.?', '455.168.2.?', '520.56.1.?', '728.84.2.?', '3640.336.9.?'], 'nonmax_primes': [13], 'nonmax_rad': 13, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.022354697939061272273203634973', 'prec': 107}, 'szpiro_ratio': 6.119579207074323, '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, 0, 1, 0, 0, 0, 1, -3, 0, 3, 0, 5, 0, 0, 1, 2, -3, 5, 0], 'aplist': [1, 0, 0, 0, 3, 5, 2, 5, -7, -4, 2, 1, -3, 2, 7, 9, 4, -6, 2, -6, 16, 14, 6, -2, 12], 'class_deg': 13, 'class_size': 2, 'conductor': 2450, 'isogeny_matrix': [[1, 13], [13, 1]], 'lmfdb_iso': '2450.bb', 'trace_hash': 442370560297497757}
• 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': '0.044712463940096755573356696401', 'prec': 107}, 'conductor': 2450, 'gens': [], 'heights': [], 'lmfdb_label': '2450.bb1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11744216862661007572300045323', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0534963842918619687980117839522232677', 'prec': 130}, 'tamagawa_product': 26, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 0, 0], '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 1], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [2, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '2450.bb1'}
• ec_torsion_growth •

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

  
  
  • id: 126412
    {'degree': 3, 'field': [15, 5, -1, 1], 'lmfdb_label': '2450.bb1', 'torsion': [2]}
  • id: 126413
    {'degree': 6, 'field': [90, 0, 61, 0, 8, 0, 1], 'lmfdb_label': '2450.bb1', 'torsion': [2, 2]}
  • id: 126414
    {'degree': 8, 'field': [616, -1064, 364, -98, 154, -56, 1, -2, 1], 'lmfdb_label': '2450.bb1', 'torsion': [3]}
  • id: 126415
    {'degree': 12, 'field': [1371056, 1088096, -114756, -191380, 23250, 19536, -5314, -226, 285, 0, 4, -6, 1], 'lmfdb_label': '2450.bb1', 'torsion': [4]}
  • id: 126416
    {'degree': 12, 'field': [28891136, -6304000, -3977856, -639536, 428416, 82432, 37220, -8113, -1767, -222, 66, -1, 1], 'lmfdb_label': '2450.bb1', 'torsion': [13]}
• 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: 42129
    {'conductor': 2450, 'conductor_valuation': 1, 'discriminant_valuation': 13, 'j_denominator_valuation': 13, 'kodaira_symbol': 17, 'lmfdb_label': '2450.bb1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 13}
  • id: 42130
    {'conductor': 2450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2450.bb1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 42131
    {'conductor': 2450, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '2450.bb1', 'prime': 7, 'reduction_type': 0, '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: 1679895
    {'adelic_gens': [[14, 23, 871, 1431], [14, 13, 1807, 3628], [3615, 26, 3614, 27], [2745, 1846, 3224, 2289], [1, 0, 26, 1], [2894, 3627, 2353, 122], [1063, 26, 2080, 3527], [1834, 13, 2717, 3628], [1, 26, 0, 1]], 'adelic_image': '3640.336.9.?', 'conductor': 2450, 'lmfdb_label': '2450.bb1', 'prime': 0}
  • id: 12123
    {'conductor': 2450, 'elladic_image': '13.14.0.1', 'lmfdb_label': '2450.bb1', 'modell_image': '13B', 'prime': 13}
• lmfdb_iso 2450.bb does not appear in ec_padic