Elliptic curve data - 286110.gv3

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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': '286110gv', 'Clabel': '286110gv6', 'Cnumber': 6, 'abc_quality': 1.0249581978625752, 'absD': 3031254462065540415101337600, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, -1, 1, -32713511837, 2277404279671461], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 286110, 'degree': 764411904, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5801266749942523099281928417', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 177, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [220031146443748723000125481, 172266701724057600], 'lmfdb_iso': '286110.gv', 'lmfdb_label': '286110.gv3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -12577283, -17169377794], 'min_quad_twist_disc': -51, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '24.48.0.o.1', '51.8.0-3.a.1.2', '60.48.0-6.a.1.6', '102.48.0.?', '120.96.0.?', '132.48.0.?', '136.12.0.?', '264.96.1.?', '408.96.0.?', '440.12.0.?', '660.96.0.?', '1020.96.0.?', '1320.192.1.?', '2040.192.1.?', '2244.96.0.?', '3740.12.0.?', '4488.192.1.?', '7480.24.0.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5298798975652189542529370629', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.6142138586320894241058029143', 'prec': 100}, 'szpiro_ratio': 6.705339263542656, '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, 1, 0, 1, 1, 0, 4, 1, 0, 1, 1, 0, 2, 4, 0, 1, 0, 0, -4, 1], 'aplist': [1, 0, 1, 4, 1, 2, 0, -4, 0, -6, -8, 10, 6, -4, -12, -6, -12, -2, 8, -12, -2, -8, 12, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 286110, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '286110.gv', 'trace_hash': 1631769650073575994}
• 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': '0.00010513625840570814255969362634', 'prec': 113}, 'conductor': 286110, 'gens': [[7151, 45205224, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.5298798975652189542529370629', 'prec': 100}], 'lmfdb_label': '286110.gv3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037462324868198028926392919795', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '17.612962709249080784690230168021023705', 'prec': 130}, 'tamagawa_product': 1152, 'torsion_generators': [[-208849, 104424, 1], [104495, -52248, 1]], 'xcoord_integral_points': [-208849, 7151, 104495]}
• lmfdb_label 286110.gv3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12159917
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 6]}
  • id: 12159920
    {'degree': 4, 'field': [64, 0, -50, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 4]}
  • id: 12159918
    {'degree': 4, 'field': [934, -76, 77, -2, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 4]}
  • id: 12159919
    {'degree': 4, 'field': [20736, 0, 273, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 4]}
  • id: 12159921
    {'degree': 6, 'field': [35692, -12882, 51, 251, 42, -3, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 6]}
  • id: 12159923
    {'degree': 8, 'field': [900, 0, -2748, 0, 781, 0, -58, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 12]}
  • id: 12159922
    {'degree': 8, 'field': [4900, 0, -1620, 0, 149, 0, 6, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 12]}
  • id: 12159924
    {'degree': 8, 'field': [42304, -8816, 9218, -806, 409, -10, 8, -4, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 12]}
  • id: 12159925
    {'degree': 12, 'field': [858841636, -131964918, 4715523, 15602791, -836706, -331989, 144131, 1446, -1371, 641, 18, -3, 1], 'lmfdb_label': '286110.gv3', 'torsion': [6, 6]}
  • id: 12159926
    {'degree': 16, 'field': [95257600, 27328000, -71529920, 6371200, 25007586, -5664500, -2767658, 598200, 60649, -53400, 10586, 600, 1544, -100, -28, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [4, 4]}
  • id: 12159929
    {'degree': 16, 'field': [107495424, 0, -8175624192, 0, 3664759680, 0, -151172352, 0, -29513376, 0, -1738080, 0, -11394, 0, -336, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 8]}
  • id: 12159928
    {'degree': 16, 'field': [17883071415936, -896324330880, 897012625248, -436037294880, 100606697208, -22422411000, 5908992726, -840960450, 49527625, -97350, 7336, 55770, -5802, -330, 58, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 8]}
  • id: 12159927
    {'degree': 16, 'field': [26265215001600, 0, 2890623283200, 0, 101463477120, 0, 611504640, 0, -21554064, 0, 173376, 0, 17946, 0, 216, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 8]}
  • id: 12159930
    {'degree': 18, 'field': [-457654068798016, -370245072815232, 81521180128788, 95920360548832, 19910990545623, -1641024524424, -1160148950428, -103820826336, 20041737054, 4358022752, -31623, -68184048, -4270853, 502056, 60318, -1424, -384, 0, 1], 'lmfdb_label': '286110.gv3', 'torsion': [2, 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: 7086832
    {'conductor': 286110, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '286110.gv3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
  • id: 7086833
    {'conductor': 286110, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '286110.gv3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7086834
    {'conductor': 286110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '286110.gv3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7086835
    {'conductor': 286110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '286110.gv3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7086836
    {'conductor': 286110, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '286110.gv3', 'prime': 17, '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: 3467578
    {'adelic_gens': [[17959, 6, 13458, 22435], [16831, 6, 0, 1], [14959, 22434, 3740, 22439], [11221, 6, 0, 1], [9, 4, 22424, 22433], [10553, 22434, 19806, 5], [1, 0, 12, 1], [22429, 12, 22428, 13], [1, 12, 0, 1], [18361, 12, 20406, 73]], 'adelic_image': '22440.384.5.?', 'conductor': 286110, 'lmfdb_label': '286110.gv3', 'prime': 0}
  • id: 1015141
    {'conductor': 286110, 'elladic_image': '2.6.0.1', 'lmfdb_label': '286110.gv3', 'modell_image': '2Cs', 'prime': 2}
  • id: 1015142
    {'conductor': 286110, 'elladic_image': '3.4.0.1', 'lmfdb_label': '286110.gv3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 286110.gv does not appear in ec_padic