Elliptic curve data - 277350.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '277350l', 'Clabel': '277350l2', 'Cnumber': 2, 'abc_quality': 0.9669833882721496, 'absD': 48625835204889560250000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [1, 1, 0, -131071950, -470203303500], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 277350, 'degree': 99348480, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6456287952103572068353735034', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [20170293914861, 3938458752], 'lmfdb_iso': '277350.l', 'lmfdb_label': '277350.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2835, 46125], 'min_quad_twist_disc': -215, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.j.1', '40.6.0.b.1', '60.6.0.c.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '28.183218990862598781880187997', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.55795030303800071414838274680', 'prec': 103}, 'szpiro_ratio': 5.400716674592545, '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, -1, -1, 1, 0, 1, -2, -1, 1, 0, 6, -1, 2, 2, 0, 1, 2, -1, -4, 0], 'aplist': [-1, -1, 0, -2, 6, 2, 2, -4, 0, 8, 0, 2, -6, 0, 4, 2, 6, 2, 8, -12, 8, -16, -4, 2, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 277350, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '277350.l', 'trace_hash': 1500646830689366226}
• 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': '0.00068147050286972717722691632002', 'prec': 113}, 'conductor': 277350, 'gens': [[101659654757001, 867262312948719573627, 66053]], 'heights': [{'__RealLiteral__': 0, 'data': '28.183218990862598781880187997', 'prec': 100}], 'lmfdb_label': '277350.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.045226195906379423115051058137', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0984791334125795247170782871367930393', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-16485, 16485, 2]], 'xcoord_integral_points': []}
• lmfdb_label 277350.l1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11820976
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '277350.l1', 'torsion': [2, 2]}
  • id: 11820977
    {'degree': 4, 'field': [18490, 0, 215, 0, 1], 'lmfdb_label': '277350.l1', 'torsion': [4]}
  • id: 11820980
    {'degree': 8, 'field': [-11644, 18587, -3940, 13817, 269, -247, -35, -2, 1], 'lmfdb_label': '277350.l1', 'torsion': [6]}
  • id: 11820978
    {'degree': 8, 'field': [1454436, 0, -28192, 0, -1966, 0, -8, 0, 1], 'lmfdb_label': '277350.l1', 'torsion': [2, 4]}
  • id: 11820979
    {'degree': 8, 'field': [349914436, 0, -3872796, 0, 47141, 0, -216, 0, 1], 'lmfdb_label': '277350.l1', 'torsion': [2, 4]}
  • id: 11820982
    {'degree': 16, 'field': [14318656, 0, -1677782600, 0, 5874147268, 0, -669780040, 0, 20591324, 0, -210700, 0, 8872, 0, -20, 0, 1], 'lmfdb_label': '277350.l1', 'torsion': [2, 6]}
  • id: 11820981
    {'degree': 16, 'field': [84934656, 0, 52420608, 0, 17953380, 0, -2743632, 0, 306234, 0, -37368, 0, 2535, 0, 12, 0, 1], 'lmfdb_label': '277350.l1', '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: 6870393
    {'conductor': 277350, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '277350.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6870394
    {'conductor': 277350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '277350.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6870395
    {'conductor': 277350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '277350.l1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6870396
    {'conductor': 277350, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '277350.l1', 'prime': 43, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3414964
    {'adelic_gens': [[41, 4, 82, 9], [2, 1, 59, 0], [1, 2, 2, 5], [117, 4, 116, 5], [3, 4, 8, 11], [28, 1, 23, 0], [17, 106, 104, 15], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 277350, 'lmfdb_label': '277350.l1', 'prime': 0}
  • id: 988302
    {'conductor': 277350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '277350.l1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 277350.l does not appear in ec_padic