Elliptic curve data - 277725.bj2

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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': '277725bj', 'Clabel': '277725bj2', 'Cnumber': 2, 'abc_quality': 0.9488525687783612, 'absD': 9234425266289794921875, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4830, 'ainvs': [0, -1, 1, 2495117, 4366628418], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 277725, 'degree': 16422912, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8968665250461308501037326894', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 35, 'isogeny_degrees': [1, 3], 'jinv': [742692847616, 3992296875], 'lmfdb_iso': '277725.bj', 'lmfdb_label': '277725.bj2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 189, -2809], 'min_quad_twist_disc': -115, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '210.8.0.?', '345.8.0.?', '966.8.0.?', '4830.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6153485017524062048976580641', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 92575], [5, 18, 11109], [7, 8, 39675], [23, 288, 525]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52440046086450581739997660688', 'prec': 103}, 'szpiro_ratio': 4.620731902480004, '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, 0, -1, -2, 0, 0, 1, 0, 1, 0, -3, 2, 4, 0, 0, 4, -6, 0, 1, 0], 'aplist': [0, -1, 0, 1, -3, 4, -6, 1, 0, 6, 8, -10, -3, -10, 3, -9, -3, -11, -10, 0, -2, 10, 0, 0, 2], 'class_deg': 3, 'class_size': 2, 'conductor': 277725, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '277725.bj', 'trace_hash': 144981064711808499}
• 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': '0.0030465878567927301218946137019', 'prec': 110}, 'conductor': 277725, 'gens': [[268388, 146460091, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '5.6153485017524062048976580641', 'prec': 100}], 'lmfdb_label': '277725.bj2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.093544794891368858725708629881', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2022929907198741023650671985034423297', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 277725.bj2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11838518
    {'degree': 2, 'field': [-86, -1, 1], 'lmfdb_label': '277725.bj2', 'torsion': [3]}
  • id: 11838519
    {'degree': 3, 'field': [3, 7, -1, 1], 'lmfdb_label': '277725.bj2', 'torsion': [2]}
  • id: 11838522
    {'degree': 6, 'field': [-620, 20, -154, -169, -43, -1, 1], 'lmfdb_label': '277725.bj2', 'torsion': [6]}
  • id: 11838520
    {'degree': 6, 'field': [1932, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '277725.bj2', 'torsion': [2, 2]}
  • id: 11838521
    {'degree': 6, 'field': [26636, -6114, 2547, -133, 90, -3, 1], 'lmfdb_label': '277725.bj2', 'torsion': [3]}
  • id: 11838523
    {'degree': 12, 'field': [-1738800, 0, 3930560, 0, 670704, 0, 34600, 0, 116, 0, 0, 0, 1], 'lmfdb_label': '277725.bj2', 'torsion': [4]}
  • id: 11838525
    {'degree': 12, 'field': [777924, -629748, -116424, 32340, 169036, -97496, 21751, -1585, 680, -121, 28, -5, 1], 'lmfdb_label': '277725.bj2', 'torsion': [2, 6]}
  • id: 11838524
    {'degree': 12, 'field': [709476496, -162852504, -30460896, -8487182, 3276807, 681861, -176611, -2802, 5154, -4, -81, -3, 1], 'lmfdb_label': '277725.bj2', 'torsion': [3, 3]}
  • id: 11838526
    {'degree': 18, 'field': [-1261734131375, -2990915094000, 10699745774925, -11623245399300, 6568958239410, -2377183277565, 534241048949, -91997855832, 16508569143, -1984561660, 92053800, 12934398, -3804494, 194916, -23490, -370, -72, -9, 1], 'lmfdb_label': '277725.bj2', 'torsion': [9]}
  • id: 11838527
    {'degree': 18, 'field': [426355796, -829675884, 485457804, 334742876, -179594040, -105198942, 81088849, 9930165, -2660799, -1328334, 216885, 100545, 28958, 15, 345, 14, 9, -3, 1], 'lmfdb_label': '277725.bj2', 'torsion': [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: 6880690
    {'conductor': 277725, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '277725.bj2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6880691
    {'conductor': 277725, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '277725.bj2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6880692
    {'conductor': 277725, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '277725.bj2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6880693
    {'conductor': 277725, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '277725.bj2', 'prime': 23, '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: 3417339
    {'adelic_gens': [[4, 3, 9, 7], [2761, 3870, 555, 1951], [4825, 6, 4824, 7], [2939, 960, 2055, 2879], [2096, 3705, 3865, 2416], [3863, 0, 0, 4829], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '4830.16.0.?', 'conductor': 277725, 'lmfdb_label': '277725.bj2', 'prime': 0}
  • id: 989585
    {'conductor': 277725, 'elladic_image': '3.4.0.1', 'lmfdb_label': '277725.bj2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 277725.bj does not appear in ec_padic