Elliptic curve data - 277350.y1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '277350y', 'Clabel': '277350y1', 'Cnumber': 1, 'abc_quality': 1.020275406211414, 'absD': 256809874676115888000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1720, 'ainvs': [1, 1, 0, 1584555, 71772525], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 277350, 'degree': 12418560, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6056617955581222356366555184', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 24, 'isogeny_degrees': [1], 'jinv': [556832393083, 325005696], 'lmfdb_iso': '277350.y', 'lmfdb_label': '277350.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 857, -823], 'min_quad_twist_disc': -43, 'modell_images': [], 'modm_images': ['1720.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2095859300575895598721671818', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9245], [3, 4, 92450], [5, 10, 3698], [7, 2, 138675], [43, 968, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.32270225960281593025004442842', 'prec': 103}, 'szpiro_ratio': 4.3438035775352, '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, 3, -1, 1, 0, -4, -1, 1, -3, 0, 1, 0, -1, -7, 0], 'aplist': [-1, -1, 0, 3, -4, 1, 0, -7, -6, -1, -7, 2, -5, 0, -2, -10, -2, -1, -5, 8, 7, 15, 12, 12, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 277350, 'isogeny_matrix': [[1]], 'lmfdb_iso': '277350.y', 'trace_hash': 1388009568487200490}
• 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': '0.0054544494468931033652726705958', 'prec': 110}, 'conductor': 277350, 'gens': [[1515, 76395, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2095859300575895598721671818', 'prec': 100}], 'lmfdb_label': '277350.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10572654818009255265547708463', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5605199172197876890622038492581889144', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [1515]}
• lmfdb_label 277350.y1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11821119
    {'degree': 3, 'field': [-16, -2, 0, 1], 'lmfdb_label': '277350.y1', 'torsion': [2]}
  • id: 11821120
    {'degree': 6, 'field': [1600, 800, 450, 60, 21, -2, 1], 'lmfdb_label': '277350.y1', 'torsion': [2, 2]}
  • id: 11821121
    {'degree': 8, 'field': [-1705589, 247424, 146362, -20088, -4740, 468, 22, -4, 1], 'lmfdb_label': '277350.y1', 'torsion': [3]}
  • id: 11821122
    {'degree': 12, 'field': [-23065104, -17981416, 3209901, 4261416, -559823, -207784, -41994, 12888, 6574, -112, -147, 0, 1], 'lmfdb_label': '277350.y1', 'torsion': [4]}
• 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: 6870473
    {'conductor': 277350, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '277350.y1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6870474
    {'conductor': 277350, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '277350.y1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6870475
    {'conductor': 277350, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '277350.y1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6870476
    {'conductor': 277350, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '277350.y1', 'prime': 43, '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

  
  {'adelic_gens': [[1377, 2, 1377, 3], [1, 1, 1719, 0], [861, 2, 861, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1719, 2, 1718, 3], [1121, 2, 1121, 3], [431, 2, 0, 1]], 'adelic_image': '1720.2.0.?', 'conductor': 277350, 'lmfdb_label': '277350.y1', 'prime': 0}
• lmfdb_iso 277350.y does not appear in ec_padic