Elliptic curve data - 436800.fa6

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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': '436800fa', 'Clabel': '436800fa1', 'Cnumber': 1, 'abc_quality': 1.0143277708927247, 'absD': 420876591408000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [0, -1, 0, 72067, -30335763], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 436800, 'degree': 4718592, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0628605023857101499829646061', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 130, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [2587063175168, 26304786963], 'lmfdb_iso': '436800.fa', 'lmfdb_label': '436800.fa6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 721, -30552], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0.n.1', '12.12.0.g.1', '24.24.0.bh.1', '40.24.0-8.n.1.6', '104.24.0.?', '112.24.0.?', '120.48.0.?', '312.48.0.?', '336.48.0.?', '520.48.0.?', '560.48.0.?', '1456.48.0.?', '1560.96.0.?', '1680.96.0.?', '4368.96.1.?', '7280.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 145600], [5, 14, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.68051889570203887150155817161', 'prec': 103}, 'szpiro_ratio': 3.6941853109794027, '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, -1, 0, 0, 0, -1, 0, 1, 0, 4, 0, 1, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, -1, 0, -1, 4, 1, 6, -4, 0, -6, 0, 6, -6, 4, 0, -2, -4, 2, 4, 0, 6, 8, 12, 10, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 436800, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '436800.fa', 'trace_hash': 1741293059022821648}
• 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': '0.016151844831714650017642624984', 'prec': 107}, 'conductor': 436800, 'gens': [], 'heights': [], 'lmfdb_label': '436800.fa6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14722959733889391580919392274', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3556735574223026529471027637622882495', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[237, 0, 1]], 'xcoord_integral_points': [237]}
• lmfdb_label 436800.fa6 does not appear in ec_iwasawa
• lmfdb_label 436800.fa6 does not appear in ec_torsion_growth
• 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: 10786395
    {'conductor': 436800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '436800.fa6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10786396
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '436800.fa6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10786397
    {'conductor': 436800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '436800.fa6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10786398
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '436800.fa6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10786399
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '436800.fa6', 'prime': 13, 'reduction_type': 1, '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: 4358121
    {'adelic_gens': [[16941, 13120, 11690, 12251], [1, 16, 0, 1], [21825, 16, 21824, 17], [4381, 13120, 3440, 8421], [21839, 8720, 16380, 16379], [15, 2, 21742, 21827], [18721, 13120, 14360, 17601], [1, 0, 16, 1], [5, 4, 21836, 21837], [13103, 0, 0, 21839], [14576, 5, 21795, 21826]], 'adelic_image': '21840.192.1.?', 'conductor': 436800, 'lmfdb_label': '436800.fa6', 'prime': 0}
  • id: 1466802
    {'conductor': 436800, 'elladic_image': '8.12.0.5', 'lmfdb_label': '436800.fa6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 436800.fa does not appear in ec_padic