Elliptic curve data - 14415.d1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '14415g', 'Clabel': '14415g7', 'Cnumber': 7, 'abc_quality': 1.0735374703334082, 'absD': 359438990805, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 14880, 'ainvs': [1, 0, 0, -2075780, 1150945707], 'analytic_rank': 0, 'bad_primes': [3, 5, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 14415, 'degree': 122880, 'elladic_images': ['16.48.0.121'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0078632107196746449382177866', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1114544804970241, 405], 'lmfdb_iso': '14415.d', 'lmfdb_label': '14415.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -2160, -39540], 'min_quad_twist_disc': -31, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '10.6.0.a.1', '16.48.0.x.2', '20.12.0.g.1', '40.48.0.bj.1', '80.96.1.?', '96.96.1.?', '124.12.0.?', '160.192.5.?', '240.192.5.?', '248.48.0.?', '480.384.13.?', '496.96.0.?', '620.24.0.?', '1240.96.0.?', '2480.192.1.?', '2976.192.1.?', '4960.384.5.?', '7440.384.5.?', '14880.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 4805], [3, 4, 4805], [5, 6, 2883], [31, 482, 15]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.29086960847710152197363562433', 'prec': 103}, 'szpiro_ratio': 5.769737228807781, '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, -1, 1, -1, 1, -1, 0, 3, 1, -1, 4, -1, 2, 0, 1, -1, -2, -1, 4, -1], 'aplist': [-1, 1, 1, 0, 4, 2, -2, 4, 0, 2, 0, 10, 10, -4, 8, 10, -4, 2, 12, -8, -10, 0, -12, 6, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 14415, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '14415.d', 'trace_hash': 1112466387430802386}
• 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': '0.018029852521109105659409215985', 'prec': 107}, 'conductor': 14415, 'gens': [], 'heights': [], 'lmfdb_label': '14415.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.57338713282773857630250156938', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2935485313109543052100062775159332874', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[3327, -3327, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [16, 0], '3': [1, 0], '5': [1, 0], '31': 'a'}, 'iwp0': 3, 'lmfdb_label': '14415.d1'}
• ec_torsion_growth •

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

  
  
  • id: 743038
    {'degree': 2, 'field': [-155, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [4]}
  • id: 743037
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [4]}
  • id: 743036
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 2]}
  • id: 743041
    {'degree': 4, 'field': [225, 0, -32, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [8]}
  • id: 743040
    {'degree': 4, 'field': [441, 0, -82, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [8]}
  • id: 743039
    {'degree': 4, 'field': [869, 64, -63, -2, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 4]}
  • id: 743047
    {'degree': 8, 'field': [-10845, 765, -4875, 168, -219, -19, -3, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [6]}
  • id: 743042
    {'degree': 8, 'field': [3636, -2508, 2882, -780, 471, -100, 38, -4, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 4]}
  • id: 743043
    {'degree': 8, 'field': [4606, -1588, 1982, -820, 491, -100, 38, -4, 1], 'lmfdb_label': '14415.d1', 'torsion': [8]}
  • id: 743045
    {'degree': 8, 'field': [7921, 0, -22924, 0, 14706, 0, -244, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [16]}
  • id: 743044
    {'degree': 8, 'field': [31529, 12724, -11212, -2956, 1309, 200, -62, -4, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 8]}
  • id: 743046
    {'degree': 8, 'field': [654481, 0, -204364, 0, 13266, 0, -244, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [16]}
  • id: 743052
    {'degree': 16, 'field': [-108035775, 424359000, -386796600, -278175600, 438560640, 35983800, -139750440, 1922400, 17167486, -424920, -902312, 14160, 22224, -120, -248, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 16]}
  • id: 743051
    {'degree': 16, 'field': [1826866, -9199720, 44903180, -74558232, 45603038, -11267192, 5980252, -2099400, 777691, -187752, 57676, -12184, 3062, -504, 92, -8, 1], 'lmfdb_label': '14415.d1', 'torsion': [16]}
  • id: 743048
    {'degree': 16, 'field': [11189025, 0, 10693600, 0, 5233090, 0, 1470560, 0, 253091, 0, 27104, 0, 1766, 0, 64, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [4, 4]}
  • id: 743054
    {'degree': 16, 'field': [13068225, 0, -13113000, 0, 6062400, 0, -1581961, 0, 254072, 0, -26071, 0, 1681, 0, -62, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [12]}
  • id: 743049
    {'degree': 16, 'field': [16448356, -25664536, 29730548, -10141992, 10381826, -7202216, 3870580, -1441176, 599959, -180552, 57820, -13048, 3206, -504, 92, -8, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 8]}
  • id: 743050
    {'degree': 16, 'field': [21215236, 0, -15736440, 0, 5847096, 0, -1306380, 0, 224221, 0, -24720, 0, 1626, 0, -60, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [2, 8]}
  • id: 743055
    {'degree': 16, 'field': [84242745, 27031860, 146748690, 82481280, -19587040, -12668610, 3146169, -1886686, -708033, 106446, -66495, 1200, -954, -22, -6, 0, 1], 'lmfdb_label': '14415.d1', 'torsion': [12]}
  • id: 743053
    {'degree': 16, 'field': [484132009, 0, 102648833, 0, 9529735, 0, 789966, 0, 74685, 0, -1881, 0, -677, 0, -10, 0, 1], 'lmfdb_label': '14415.d1', '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: 316889
    {'conductor': 14415, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '14415.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 316890
    {'conductor': 14415, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '14415.d1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 316891
    {'conductor': 14415, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14415.d1', 'prime': 31, '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: 1759912
    {'adelic_gens': [[1, 0, 32, 1], [1, 32, 0, 1], [5, 28, 68, 381], [1861, 992, 2356, 993], [13951, 992, 2790, 1], [1303, 10106, 1302, 9611], [1919, 0, 0, 14879], [2512, 9145, 7223, 10386], [23, 18, 12318, 12875], [14849, 32, 14848, 33]], 'adelic_image': '14880.768.13.?', 'conductor': 14415, 'lmfdb_label': '14415.d1', 'prime': 0}
  • id: 68361
    {'conductor': 14415, 'elladic_image': '16.48.0.121', 'lmfdb_label': '14415.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 14415.d does not appear in ec_padic