Elliptic curve data - 176400.sp2

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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': '176400ku', 'Clabel': '176400ku2', 'Cnumber': 2, 'abc_quality': 1.1038759097637456, 'absD': 183764812877665689600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, 0, 0, -62802075, 679762802250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 176400, 'degree': 61931520, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7230006326490613760758982512', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 483, 'isogeny_degrees': [1, 2], 'jinv': [-134745327251163, 903920796800], 'lmfdb_iso': '176400.sp', 'lmfdb_label': '176400.sp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3204, 248528], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '280.6.0.?', '420.6.0.?', '840.12.0.?'], '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': '5.9769816707202746115061379823', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 6, 19600], [5, 18, 7056], [7, 32, 3600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97752634917738180395679878217', 'prec': 103}, 'szpiro_ratio': 5.629991473597357, '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, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 6, 0, 0, 0, 4, 0, 6, 0], 'aplist': [0, 0, 0, 0, 4, 6, 4, 6, 0, -6, -4, -8, -10, -2, -10, -14, -4, 8, 6, 2, -10, -16, 8, -2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 176400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '176400.sp', 'trace_hash': 1654269381901149540}
• 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': '0.00058377129773848470900945658321', 'prec': 113}, 'conductor': 176400, 'gens': [[41085, 8212800, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.9769816707202746115061379823', 'prec': 100}], 'lmfdb_label': '176400.sp2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.048956261143982799024386770393', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3635416167865719212905234696479127639', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-11130, 0, 1]], 'xcoord_integral_points': [-11130, 41085]}
• lmfdb_label 176400.sp2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7815453
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '176400.sp2', 'torsion': [2, 2]}
  • id: 7815454
    {'degree': 4, 'field': [-96, 0, 6, 0, 1], 'lmfdb_label': '176400.sp2', 'torsion': [4]}
  • id: 7815457
    {'degree': 8, 'field': [-58800, 0, 5040, 0, 2940, 0, 105, 0, 1], 'lmfdb_label': '176400.sp2', 'torsion': [6]}
  • id: 7815455
    {'degree': 8, 'field': [256, 0, 352, 0, 48, 0, 22, 0, 1], 'lmfdb_label': '176400.sp2', 'torsion': [2, 4]}
  • id: 7815456
    {'degree': 8, 'field': [4585, 5880, 736, -528, 606, -72, -32, 0, 1], 'lmfdb_label': '176400.sp2', 'torsion': [2, 4]}
  • id: 7815458
    {'degree': 16, 'field': [50176, 0, 25042528, 0, 4444580, 0, -507752, 0, -99536, 0, 4112, 0, 845, 0, -58, 0, 1], 'lmfdb_label': '176400.sp2', 'torsion': [8]}
  • id: 7815459
    {'degree': 16, 'field': [43701700, -4470200, 19689840, 17535860, -2361235, -4465260, 2528200, -117800, -254871, 74920, -13778, 3456, 1655, -256, 90, -8, 1], 'lmfdb_label': '176400.sp2', 'torsion': [2, 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: 4363440
    {'conductor': 176400, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '176400.sp2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4363441
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '176400.sp2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4363442
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '176400.sp2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 4363443
    {'conductor': 176400, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '176400.sp2', 'prime': 7, '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: 2800229
    {'adelic_gens': [[837, 4, 836, 5], [284, 1, 559, 0], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [241, 4, 482, 9], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 176400, 'lmfdb_label': '176400.sp2', 'prime': 0}
  • id: 663437
    {'conductor': 176400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '176400.sp2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 176400.sp does not appear in ec_padic