Elliptic curve data - 254144.df2

Formats: - HTML - YAML - JSON - 2024-05-22T11:27:57.684548

• 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': '254144df', 'Clabel': '254144df2', 'Cnumber': 2, 'abc_quality': 1.1357429264760874, 'absD': 1558173703022577344, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 5016, 'ainvs': [0, 1, 0, 278211, 20505629], 'analytic_rank': 0, 'bad_primes': [2, 11, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 254144, 'degree': 3732480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1796827506663673967041085351', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 83, 'isogeny_degrees': [1, 3], 'jinv': [790939860992, 517504691], 'lmfdb_iso': '254144.df', 'lmfdb_label': '254144.df2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 193, -308], 'min_quad_twist_disc': -152, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '456.8.0.?', '5016.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36088967080317451199097875843', 'prec': 103}, 'szpiro_ratio': 3.9549545228710716, '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, 0, 3, 0, -4, 0, -2, 0, -1, 0, 2, 0, 3, 0, 0, 0, 0, 0], 'aplist': [0, 1, 3, -4, -1, 2, 0, 0, 3, -6, 7, -7, 0, 10, 0, 6, 3, 10, 11, -15, 8, 16, 0, -9, 1], 'class_deg': 3, 'class_size': 2, 'conductor': 254144, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '254144.df', 'trace_hash': 695412858813667534}
• 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': '0.012786498092229635988560181125', 'prec': 107}, 'conductor': 254144, 'gens': [], 'heights': [], 'lmfdb_label': '254144.df2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16744991880635674571123520417', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0140985385144214228022336751208205851', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 254144.df2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10920608
    {'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '254144.df2', 'torsion': [3]}
  • id: 10920609
    {'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '254144.df2', 'torsion': [2]}
  • id: 10920612
    {'degree': 6, 'field': [-370386, 0, 0, 0, 114, 0, 1], 'lmfdb_label': '254144.df2', 'torsion': [6]}
  • id: 10920610
    {'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '254144.df2', 'torsion': [2, 2]}
  • id: 10920611
    {'degree': 6, 'field': [54993, 2508, 4332, -22, 114, 0, 1], 'lmfdb_label': '254144.df2', 'torsion': [3]}
  • id: 10920613
    {'degree': 12, 'field': [-1433531, 0, -190304, 0, 3387, 0, -3040, 0, -457, 0, 0, 0, 1], 'lmfdb_label': '254144.df2', 'torsion': [4]}
  • id: 10920614
    {'degree': 12, 'field': [3024230049, -137922444, -231939612, -13284348, 12552198, 667128, -383378, 0, 8664, -44, -114, 0, 1], 'lmfdb_label': '254144.df2', 'torsion': [3, 3]}
  • id: 10920615
    {'degree': 12, 'field': [147024735583, -4815692882, 724791827, -88957402, -66792928, 2012994, -544329, 37602, 13922, -10, 233, -2, 1], 'lmfdb_label': '254144.df2', 'torsion': [2, 6]}
  • id: 10920616
    {'degree': 18, 'field': [-50052052032, 124680297024, -110801841264, 37139522832, 14909842032, -16594889712, 4592407969, 1105361214, -762357759, 38487654, 48174693, -4322766, -1818782, 67602, 31947, -228, -264, 0, 1], 'lmfdb_label': '254144.df2', 'torsion': [9]}
  • id: 10920617
    {'degree': 18, 'field': [2649613127767, 948054810780, 71969339772, -121171154918, -27685699254, 10435978608, 1227061509, -826927728, 62571408, 25022448, -3100116, -190608, -11903, 2508, 4332, -66, -114, 0, 1], 'lmfdb_label': '254144.df2', '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: 6300820
    {'conductor': 254144, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '254144.df2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6300821
    {'conductor': 254144, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '254144.df2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6300822
    {'conductor': 254144, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '254144.df2', 'prime': 19, '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

  
  
  • id: 3275960
    {'adelic_gens': [[4, 3, 9, 7], [2639, 0, 0, 5015], [3419, 4218, 2337, 2621], [4238, 57, 3211, 799], [2507, 0, 0, 5015], [1253, 0, 0, 5015], [1, 6, 0, 1], [3, 4, 8, 11], [2051, 4218, 2052, 4217], [1, 0, 6, 1], [5011, 6, 5010, 7]], 'adelic_image': '5016.16.0.?', 'conductor': 254144, 'lmfdb_label': '254144.df2', 'prime': 0}
  • id: 915247
    {'conductor': 254144, 'elladic_image': '3.4.0.1', 'lmfdb_label': '254144.df2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 254144.df does not appear in ec_padic