Elliptic curve data - 222024.t2

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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': '222024f', 'Clabel': '222024f2', 'Cnumber': 2, 'abc_quality': 0.899108725536897, 'absD': 663308898886656, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 7656, 'ainvs': [0, 1, 0, -27192, 1192320], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 29], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 222024, 'degree': 802816, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5494873245689401899228112636', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [3650692, 1089], 'lmfdb_iso': '222024.t', 'lmfdb_label': '222024.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -32, 60], 'min_quad_twist_disc': 29, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '88.12.0.?', '132.12.0.?', '232.12.0.?', '264.24.0.?', '348.12.0.?', '696.24.0.?', '1276.12.0.?', '2552.24.0.?', '3828.24.0.?', '7656.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.145817059077253682493949165', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71178324089091791484985152046', 'prec': 107}, 'szpiro_ratio': 3.431666804492515, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, 2, 0, 0, 0, 1, 0, -1, 0, 2, 0, 2, 0, -6, 0, 0, 0], 'aplist': [0, 1, 2, 0, -1, 2, -6, 0, 4, 0, 0, 10, -6, 8, 4, -6, -12, -2, 4, 12, 14, -16, -12, -10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 222024, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '222024.t', 'trace_hash': 990534698602044657}
• 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': '0.045095417321278848923926986908', 'prec': 107}, 'conductor': 222024, 'gens': [[2684232, 3733551360, 97]], 'heights': [{'__RealLiteral__': 0, 'data': '12.145817059077253682493949165', 'prec': 100}], 'lmfdb_label': '222024.t2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47426373652954210292364251910', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.520641163284465102537916577155116712', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[48, 0, 1], [135, 0, 1]], 'xcoord_integral_points': [-184, 48, 135]}
• lmfdb_label 222024.t2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9663884
    {'degree': 4, 'field': [256, 0, -26, 0, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 4]}
  • id: 9663885
    {'degree': 4, 'field': [400, 0, 18, 0, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 4]}
  • id: 9663883
    {'degree': 4, 'field': [6154, 190, -189, -2, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 4]}
  • id: 9663886
    {'degree': 8, 'field': [-116616, -128376, 86072, -9792, 372, -276, 18, 0, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 6]}
  • id: 9663888
    {'degree': 16, 'field': [-177751851, -732868062, 656587548, 1343350422, -1223050865, -68985586, 335449916, -94520016, -6192716, 5935102, -406220, -135170, 16807, 1266, -220, -4, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 8]}
  • id: 9663887
    {'degree': 16, 'field': [1498176, 0, 997056, 0, 2107188, 0, -673476, 0, 102913, 0, 1968, 0, 782, 0, -12, 0, 1], 'lmfdb_label': '222024.t2', 'torsion': [4, 4]}
  • id: 9663889
    {'degree': 16, 'field': [2877908409, 935313336, -1160749512, -237328128, 251909256, 24454920, -33531696, -1214976, 2905738, 20760, -162088, 576, 5640, -24, -112, 0, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 8]}
  • id: 9663890
    {'degree': 16, 'field': [17135202393, 4897568808, 6646054248, 1305322128, 1071204992, 161489768, 90068736, 9879232, 4433370, 245608, 131944, -176, 2816, -88, 64, 0, 1], 'lmfdb_label': '222024.t2', 'torsion': [2, 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: 5507460
    {'conductor': 222024, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '222024.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5507461
    {'conductor': 222024, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '222024.t2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5507462
    {'conductor': 222024, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '222024.t2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5507463
    {'conductor': 222024, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '222024.t2', 'prime': 29, '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: 3081999
    {'adelic_gens': [[2785, 4756, 290, 1857], [2379, 2378, 2726, 5279], [5015, 0, 0, 7655], [1, 4, 0, 1], [5743, 4756, 0, 1], [1, 0, 4, 1], [7653, 4, 7652, 5], [3829, 2378, 0, 1]], 'adelic_image': '7656.48.0.?', 'conductor': 222024, 'lmfdb_label': '222024.t2', 'prime': 0}
  • id: 814170
    {'conductor': 222024, 'elladic_image': '2.6.0.1', 'lmfdb_label': '222024.t2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 222024.t does not appear in ec_padic