Elliptic curve data - 24400.x2

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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': '24400j', 'Clabel': '24400j1', 'Cnumber': 1, 'abc_quality': 0.811319874670477, 'absD': 116281250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1220, 'ainvs': [0, -1, 0, -2583, 48662], 'analytic_rank': 0, 'bad_primes': [2, 5, 61], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 24400, 'degree': 26880, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.87538946447131221200558694242', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [61011968, 3721], 'lmfdb_iso': '24400.x', 'lmfdb_label': '24400.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -103, -348], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '244.6.0.?', '1220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56273803004091150541739326465', 'prec': 107}, 'szpiro_ratio': 3.4827689492634084, '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, -4, 0, 4, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 2, 0, 0, -4, 4, 6, 4, 8, 2, 4, 2, 6, 4, 6, -10, 0, -1, 12, -8, -4, -16, 10, 6, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 24400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '24400.x', 'trace_hash': 1816237371695762115}
• 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': '0.17363863859969088927798801643', 'prec': 103}, 'conductor': 24400, 'gens': [], 'heights': [], 'lmfdb_label': '24400.x2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0332312599548319409620516949', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1329250398193277638482067796067299861', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-58, 0, 1]], 'xcoord_integral_points': [-58]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '61': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '24400.x2'}
• ec_torsion_growth •

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

  
  
  • id: 1232249
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '24400.x2', 'torsion': [2, 2]}
  • id: 1232250
    {'degree': 4, 'field': [80, 0, 25, 0, 1], 'lmfdb_label': '24400.x2', 'torsion': [4]}
  • id: 1232253
    {'degree': 8, 'field': [-75, 0, -1400, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '24400.x2', 'torsion': [6]}
  • id: 1232251
    {'degree': 8, 'field': [1, 0, -17, 0, -26, 0, -3, 0, 1], 'lmfdb_label': '24400.x2', 'torsion': [2, 4]}
  • id: 1232252
    {'degree': 8, 'field': [625, 0, 1125, 0, 480, 0, 45, 0, 1], 'lmfdb_label': '24400.x2', 'torsion': [2, 4]}
  • id: 1232255
    {'degree': 16, 'field': [2394341, 3904648, -1891520, -4113400, 2227730, -71016, -209348, 218480, -78325, 16280, -3828, 416, -130, 0, 20, -8, 1], 'lmfdb_label': '24400.x2', 'torsion': [2, 6]}
  • id: 1232254
    {'degree': 16, 'field': [248094001, 0, 149437369, 0, 43608120, 0, 6840386, 0, 578954, 0, 17801, 0, -60, 0, 4, 0, 1], 'lmfdb_label': '24400.x2', '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: 559908
    {'conductor': 24400, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '24400.x2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 559909
    {'conductor': 24400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '24400.x2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 559910
    {'conductor': 24400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '24400.x2', 'prime': 61, 'reduction_type': -1, '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: 1827095
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1217, 4, 1216, 5], [1, 2, 2, 5], [1, 4, 0, 1], [917, 306, 304, 915], [1161, 4, 1102, 9], [248, 1, 243, 0]], 'adelic_image': '1220.12.0.?', 'conductor': 24400, 'lmfdb_label': '24400.x2', 'prime': 0}
  • id: 111735
    {'conductor': 24400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '24400.x2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 24400.x does not appear in ec_padic