Elliptic curve data - 14415.d6

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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': '14415g2', 'Cnumber': 2, 'abc_quality': 0.9622954410890624, 'absD': 199688328225, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 7440, 'ainvs': [1, 0, 0, -4825, -127600], 'analytic_rank': 0, 'bad_primes': [3, 5, 31], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 14415, 'degree': 15360, 'elladic_images': ['16.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96814243987975668081236960438', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [13997521, 225], 'lmfdb_iso': '14415.d', 'lmfdb_label': '14415.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5, 2], 'min_quad_twist_disc': -31, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '16.48.0.d.2', '24.48.0.bb.2', '40.48.0.bd.1', '48.96.1.n.1', '60.24.0.c.1', '80.192.5.?', '120.96.1.?', '124.24.0.?', '240.384.13.?', '248.48.0.?', '496.96.0.?', '744.96.0.?', '1240.96.0.?', '1488.192.1.?', '1860.48.0.?', '2480.384.5.?', '3720.192.1.?', '7440.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 961], [3, 4, 4805], [5, 6, 2883], [31, 482, 15]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.74885116236281644215221255789', 'prec': 107}, 'szpiro_ratio': 3.869905888546193, '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, 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': '0.14423882016887284527527372788', 'prec': 103}, 'conductor': 14415, 'gens': [], 'heights': [], 'lmfdb_label': '14415.d6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.57338713282773857630250156938', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2935485313109543052100062775159332874', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-44, 22, 1], [80, -40, 1]], 'xcoord_integral_points': [-44, 80]}
• 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.d6'}
• ec_torsion_growth •

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

  
  
  • id: 742960
    {'degree': 2, 'field': [8, -1, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 4]}
  • id: 742961
    {'degree': 4, 'field': [16, 0, -23, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 4]}
  • id: 742963
    {'degree': 4, 'field': [81, 0, 13, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 8]}
  • id: 742962
    {'degree': 4, 'field': [1194, 54, -53, -2, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 4]}
  • id: 742967
    {'degree': 8, 'field': [-10845, 765, -4875, 168, -219, -19, -3, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 6]}
  • id: 742965
    {'degree': 8, 'field': [4096, 0, 960, 0, 161, 0, 15, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 8]}
  • id: 742966
    {'degree': 8, 'field': [9145, -465, 2575, -250, 341, -38, 24, -2, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 16]}
  • id: 742964
    {'degree': 8, 'field': [17440, 2320, -2006, -614, 273, 38, -8, -4, 1], 'lmfdb_label': '14415.d6', 'torsion': [4, 4]}
  • id: 742968
    {'degree': 16, 'field': [-1527759, -977040, 4701870, -4249080, -832584, 3537300, -1704330, -364440, 515881, -16500, -63190, 2520, 3696, -60, -100, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 8]}
  • id: 742970
    {'degree': 16, 'field': [5550736, 0, -7971092, 0, 4772393, 0, -1479240, 0, 270056, 0, -29670, 0, 1928, 0, -68, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [4, 8]}
  • id: 742972
    {'degree': 16, 'field': [13068225, 0, 13113000, 0, 6062400, 0, 1581961, 0, 254072, 0, 26071, 0, 1681, 0, 62, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 12]}
  • id: 742971
    {'degree': 16, 'field': [16777216, 0, 3932160, 0, 659456, 0, 93120, 0, 11521, 0, 1455, 0, 161, 0, 15, 0, 1], 'lmfdb_label': '14415.d6', 'torsion': [2, 16]}
  • id: 742969
    {'degree': 16, 'field': [271176396516, 0, -108809692920, 0, 17594242896, 0, -1474049100, 0, 70599541, 0, -1985500, 0, 32286, 0, -280, 0, 1], 'lmfdb_label': '14415.d6', '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: 316874
    {'conductor': 14415, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14415.d6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 316875
    {'conductor': 14415, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14415.d6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 316876
    {'conductor': 14415, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14415.d6', '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: 1759917
    {'adelic_gens': [[5581, 248, 7130, 2357], [4961, 496, 5766, 2977], [1919, 0, 0, 7439], [1, 16, 0, 1], [6015, 248, 6448, 6449], [3845, 496, 3844, 5953], [1, 0, 16, 1], [1, 16, 4, 65], [7425, 16, 7424, 17]], 'adelic_image': '7440.768.13.?', 'conductor': 14415, 'lmfdb_label': '14415.d6', 'prime': 0}
  • id: 68366
    {'conductor': 14415, 'elladic_image': '16.48.0.3', 'lmfdb_label': '14415.d6', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 14415.d does not appear in ec_padic