Elliptic curve data - 305552.l1

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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': '305552l', 'Clabel': '305552l2', 'Cnumber': 2, 'abc_quality': 0.8784227065314122, 'absD': 34664666238422272, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5876, 'ainvs': [0, 0, 0, -94471, -6683274], 'analytic_rank': 0, 'bad_primes': [2, 13, 113], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 305552, 'degree': 1697280, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8736295385973826372380311427', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [34347024, 12769], 'lmfdb_iso': '305552.l', 'lmfdb_label': '305552.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -559, 3042], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '26.6.0.b.1', '452.6.0.?', '5876.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 13], [13, 62, 1808], [113, 114, 2704]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51218059987206678774690585278', 'prec': 107}, 'szpiro_ratio': 3.6407127279874194, '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, -2, 0, -3, 0, -2, 0, 0, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, -2, -2, -2, 0, -6, 8, 4, -6, 2, 2, 0, 8, -8, 6, -12, 2, 4, -8, -2, 8, -6, -2, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 305552, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '305552.l', 'trace_hash': 518389664497653171}
• 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': '0.023582294603108996666695616054', 'prec': 107}, 'conductor': 305552, 'gens': [], 'heights': [], 'lmfdb_label': '305552.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28086906356239809277671675161', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.56173812712479618555343350321623305102', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[338, 0, 1]], 'xcoord_integral_points': [338]}
• lmfdb_label 305552.l1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12912144
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '305552.l1', 'torsion': [2, 2]}
  • id: 12912145
    {'degree': 4, 'field': [13, 0, -39, 0, 1], 'lmfdb_label': '305552.l1', 'torsion': [4]}
  • id: 12912148
    {'degree': 8, 'field': [-507, 0, 2028, 0, -78, 0, 0, 0, 1], 'lmfdb_label': '305552.l1', 'torsion': [6]}
  • id: 12912147
    {'degree': 8, 'field': [81, 0, -459, 0, 301, 0, -51, 0, 1], 'lmfdb_label': '305552.l1', 'torsion': [2, 4]}
  • id: 12912146
    {'degree': 8, 'field': [7569, 3480, 4868, 348, 546, -40, 44, -4, 1], 'lmfdb_label': '305552.l1', 'torsion': [2, 4]}
  • id: 12912149
    {'degree': 16, 'field': [712336, 0, -5664352, 0, 14603024, 0, -13618896, 0, 3328312, 0, -223608, 0, 10212, 0, -164, 0, 1], 'lmfdb_label': '305552.l1', 'torsion': [8]}
  • id: 12912150
    {'degree': 16, 'field': [24044289, 18581496, -16209540, -3699144, -548574, 2277912, 244452, -868608, 228007, -7904, 1924, 208, -338, 112, 4, -8, 1], 'lmfdb_label': '305552.l1', '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: 7568349
    {'conductor': 305552, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '305552.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7568350
    {'conductor': 305552, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '305552.l1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7568351
    {'conductor': 305552, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '305552.l1', 'prime': 113, 'reduction_type': -1, '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: 3584364
    {'adelic_gens': [[1, 0, 4, 1], [5873, 4, 5872, 5], [3, 4, 8, 11], [4409, 1470, 1468, 4407], [1, 2, 2, 5], [1, 4, 0, 1], [1360, 1, 4067, 0], [5201, 4, 4526, 9]], 'adelic_image': '5876.12.0.?', 'conductor': 305552, 'lmfdb_label': '305552.l1', 'prime': 0}
  • id: 1075197
    {'conductor': 305552, 'elladic_image': '2.3.0.1', 'lmfdb_label': '305552.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 305552.l does not appear in ec_padic