Elliptic curve data - 254800.hi1

Formats: - HTML - YAML - JSON - 2024-05-01T22:16:57.302796

• 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': '254800hi', 'Clabel': '254800hi3', 'Cnumber': 3, 'abc_quality': 0.9543225417743602, 'absD': 338788159324160000000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, -1, 0, -4067408, -3029274688], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 254800, 'degree': 11943936, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7012706137823157348601246045', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 190, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [988345570681, 44994560], 'lmfdb_iso': '254800.hi', 'lmfdb_label': '254800.hi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -208, -1122], 'min_quad_twist_disc': 140, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '24.48.0.br.2', '130.6.0.?', '260.24.0.?', '280.12.0.?', '390.24.0.?', '420.48.0.?', '728.12.0.?', '780.96.3.?', '840.96.0.?', '1092.48.0.?', '1560.192.9.?', '2184.96.0.?', '3640.48.0.?', '5460.192.3.?', '10920.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23044940247766358558983644471', 'prec': 103}, 'szpiro_ratio': 4.600584455967344, '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, 2, 0, 0, 0, 0, 0, 1, 0, 6, 0, 1, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, 2, 0, 0, 6, 1, -6, 2, 6, -6, 2, -2, 6, 2, 12, -6, 6, -2, -4, 6, -10, 4, 0, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 254800, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '254800.hi', 'trace_hash': 1703111130296789981}
• 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': '0.0045051178539507495795184087340', 'prec': 110}, 'conductor': 254800, 'gens': [], 'heights': [], 'lmfdb_label': '254800.hi1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10660857465605817427036949944', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1172115834907923649777359730876365718', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-968, 0, 1]], 'xcoord_integral_points': [-968]}
• lmfdb_label 254800.hi1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10947683
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 2]}
  • id: 10947684
    {'degree': 2, 'field': [105, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [6]}
  • id: 10947685
    {'degree': 4, 'field': [200, -28, -3, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [4]}
  • id: 10947686
    {'degree': 4, 'field': [1764, 0, 189, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 6]}
  • id: 10947687
    {'degree': 6, 'field': [-1715, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [6]}
  • id: 10947688
    {'degree': 8, 'field': [256, 0, -7744, 0, 356, 0, -29, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 4]}
  • id: 10947690
    {'degree': 8, 'field': [1114, -1454, 3627, -2014, 245, 110, -27, -2, 1], 'lmfdb_label': '254800.hi1', 'torsion': [12]}
  • id: 10947689
    {'degree': 8, 'field': [1600, 0, 3120, 0, 76, 0, 13, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 4]}
  • id: 10947692
    {'degree': 12, 'field': [-25000, 0, 0, 538500, 0, 0, -26735, 0, 0, -320, 0, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 6]}
  • id: 10947691
    {'degree': 12, 'field': [2937796, 10284, 25746, -68650, 25815, 10164, -3289, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '254800.hi1', 'torsion': [3, 6]}
  • id: 10947694
    {'degree': 16, 'field': [140816, -553488, 1046188, -1240148, 968765, -464566, 101017, 11894, -1525, -13402, 9738, -2798, 95, 144, -23, -4, 1], 'lmfdb_label': '254800.hi1', 'torsion': [8]}
  • id: 10947693
    {'degree': 16, 'field': [203840, 407680, 582400, -873600, -304464, -657760, 2233312, -1877344, 865564, -252616, 50784, -6168, 17, 198, -26, -2, 1], 'lmfdb_label': '254800.hi1', 'torsion': [4, 4]}
  • id: 10947696
    {'degree': 16, 'field': [56310016, 0, 28598528, 0, 6346372, 0, 676768, 0, 62553, 0, 6224, 0, 418, 0, 16, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 12]}
  • id: 10947695
    {'degree': 16, 'field': [5637388576, -3140452576, 1920523232, -650050336, 267669938, -74156306, 24864551, -5574078, 1442193, -233716, 53934, -7100, 1468, -122, 43, -6, 1], 'lmfdb_label': '254800.hi1', 'torsion': [2, 12]}
  • id: 10947697
    {'degree': 18, 'field': [1548135964270440000, -2195123986800000, 127515680306640000, 625018583304000, 4810841877042000, 25169640516000, 108108636244800, 360876225600, 1575233381700, 2188964160, 15281011380, 3245580, 98111809, -16992, 401319, -44, 951, 0, 1], 'lmfdb_label': '254800.hi1', 'torsion': [18]}
• 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: 6317870
    {'conductor': 254800, 'conductor_valuation': 4, 'discriminant_valuation': 24, 'j_denominator_valuation': 12, 'kodaira_symbol': -20, 'lmfdb_label': '254800.hi1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6317871
    {'conductor': 254800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '254800.hi1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6317872
    {'conductor': 254800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '254800.hi1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6317873
    {'conductor': 254800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '254800.hi1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 3280171
    {'adelic_gens': [[3858, 1561, 4823, 8], [1, 0, 24, 1], [1, 24, 0, 1], [7, 24, 492, 1687], [3119, 0, 0, 10919], [3641, 4704, 3640, 1], [21, 4, 10820, 10901], [5461, 4704, 5460, 1], [1, 12, 12, 145], [10897, 24, 10896, 25], [2729, 6216, 3108, 9071], [608, 6237, 8883, 4766]], 'adelic_image': '10920.384.9.?', 'conductor': 254800, 'lmfdb_label': '254800.hi1', 'prime': 0}
  • id: 917494
    {'conductor': 254800, 'elladic_image': '4.6.0.3', 'lmfdb_label': '254800.hi1', 'modell_image': '2B', 'prime': 2}
  • id: 917495
    {'conductor': 254800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '254800.hi1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 254800.hi does not appear in ec_padic