Elliptic curve data - 243360.c4

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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': '243360c', 'Clabel': '243360c3', 'Cnumber': 3, 'abc_quality': 1.1738269518331081, 'absD': 23936060199546892800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, 35997, 235373398], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 243360, 'degree': 5898240, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3974212632824871226013310869', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [2863288, 13286025], 'lmfdb_iso': '243360.c', 'lmfdb_label': '243360.c4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 24, 3960], 'min_quad_twist_disc': 156, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '24.24.0.n.1', '104.24.0.?', '156.12.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '8.0218810933979345640975739424', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1521], [3, 6, 27040], [5, 6, 48672], [13, 86, 1440]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.045780054797704926814040656561', 'prec': 107}, 'szpiro_ratio': 4.198940935196677, '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, -1, 0, -4, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, -4, -4, 0, -2, 4, 0, -10, -4, 10, 2, 4, -8, -2, -12, -10, 12, 0, -10, 4, -4, -6, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 243360, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '243360.c', 'trace_hash': 557532031214151717}
• 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': '0.0082723013929243519428205757388', 'prec': 110}, 'conductor': 243360, 'gens': [[-91, 15210, 1], [989, 35190, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7270772362046287654208332397', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.7083610027306461213663677692', 'prec': 100}], 'lmfdb_label': '243360.c4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.16765052195124992746737992929', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '10.758980418712217585932782563886169348', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-598, 0, 1]], 'xcoord_integral_points': [-598, -91, 186, 989, 1589, 25646]}
• lmfdb_label 243360.c4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10498471
    {'degree': 2, 'field': [-78, 0, 1], 'lmfdb_label': '243360.c4', 'torsion': [4]}
  • id: 10498470
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '243360.c4', 'torsion': [2, 2]}
  • id: 10498472
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '243360.c4', 'torsion': [4]}
  • id: 10498473
    {'degree': 4, 'field': [66, -24, 25, -2, 1], 'lmfdb_label': '243360.c4', 'torsion': [2, 4]}
  • id: 10498477
    {'degree': 8, 'field': [-342732, 0, 0, 0, 2028, 0, -52, 0, 1], 'lmfdb_label': '243360.c4', 'torsion': [6]}
  • id: 10498475
    {'degree': 8, 'field': [363, 396, -350, -88, 35, 8, 2, -4, 1], 'lmfdb_label': '243360.c4', 'torsion': [8]}
  • id: 10498476
    {'degree': 8, 'field': [6406, 2760, 2250, -120, 107, -60, 30, 0, 1], 'lmfdb_label': '243360.c4', 'torsion': [8]}
  • id: 10498474
    {'degree': 8, 'field': [176721, 42840, 17680, 1520, 2422, -40, 80, 0, 1], 'lmfdb_label': '243360.c4', 'torsion': [2, 4]}
  • id: 10498482
    {'degree': 16, 'field': [-5838, -465000, 1985476, -3501496, 3426712, -1643328, 165276, 260592, -115136, 14012, 8848, -4440, 390, 168, -32, -4, 1], 'lmfdb_label': '243360.c4', 'torsion': [12]}
  • id: 10498480
    {'degree': 16, 'field': [729, -2268, 2034, -5688, 17979, -25488, 29806, -27676, 15402, -3572, 3374, -624, 377, -56, 30, -4, 1], 'lmfdb_label': '243360.c4', 'torsion': [2, 8]}
  • id: 10498479
    {'degree': 16, 'field': [505846, -1943056, 3039724, -2229856, 1203374, -100504, 31308, -12868, 22511, -14300, 4488, -1148, 434, -140, 40, -8, 1], 'lmfdb_label': '243360.c4', 'torsion': [2, 8]}
  • id: 10498481
    {'degree': 16, 'field': [5320977, 12649924, 17206412, 10318148, 228706, -2541864, -810936, 203692, 139736, -556, -12308, -1068, 714, 88, -28, -4, 1], 'lmfdb_label': '243360.c4', 'torsion': [2, 6]}
  • id: 10498478
    {'degree': 16, 'field': [23841250, 16685000, -21399500, 7433000, 2327450, -10322800, 8920320, -5439640, 2329091, -709928, 207528, -37976, 8210, -896, 148, -8, 1], 'lmfdb_label': '243360.c4', 'torsion': [4, 4]}
  • id: 10498483
    {'degree': 16, 'field': [27825625, 0, -10567400, 0, 3312400, 0, -601040, 0, 89158, 0, -8840, 0, 688, 0, -32, 0, 1], 'lmfdb_label': '243360.c4', 'torsion': [12]}
• 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: 6032346
    {'conductor': 243360, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '243360.c4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6032347
    {'conductor': 243360, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '243360.c4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6032348
    {'conductor': 243360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '243360.c4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6032349
    {'conductor': 243360, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '243360.c4', 'prime': 13, '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: 3210552
    {'adelic_gens': [[103, 208, 52, 207], [7, 6, 306, 307], [1, 0, 8, 1], [144, 65, 91, 222], [1, 8, 0, 1], [1, 4, 4, 17], [305, 8, 304, 9], [144, 65, 169, 300], [167, 0, 0, 311]], 'adelic_image': '312.48.0.?', 'conductor': 243360, 'lmfdb_label': '243360.c4', 'prime': 0}
  • id: 881079
    {'conductor': 243360, 'elladic_image': '8.12.0.16', 'lmfdb_label': '243360.c4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 243360.c does not appear in ec_padic