Elliptic curve data - 466578.ce1

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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': '466578ce', 'Clabel': '466578ce5', 'Cnumber': 5, 'abc_quality': 1.0156853826442096, 'absD': 8095367397239575658444728188, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 7728, 'ainvs': [1, -1, 0, -18461096586, 965455066178280], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 23], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 466578, 'degree': 830472192, 'elladic_images': ['16.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5059828798661240550786669881', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'intrinsic_torsion': 2, 'iso_nlabel': 56, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [54804145548726848737, 637608031452], 'lmfdb_iso': '466578.ce', 'lmfdb_label': '466578.ce1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -79134, -8601153], 'min_quad_twist_disc': -483, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.2', '24.24.0-8.n.1.7', '28.12.0.h.1', '48.48.0-16.e.2.16', '56.24.0.bj.1', '112.48.0.?', '168.48.0.?', '184.24.0.?', '276.12.0.?', '336.96.0.?', '368.48.0.?', '552.48.0.?', '1104.96.0.?', '1288.48.0.?', '1932.24.0.?', '2576.96.1.?', '3864.96.0.?', '7728.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 233289], [3, 8, 51842], [7, 32, 9522], [23, 288, 882]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4159745530398377114249915820', 'prec': 100}, 'szpiro_ratio': 6.322627463270344, '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, 0, 1, 2, 0, 0, -1, 0, -2, -4, 0, 2, 0, 0, 1, 6, 0, 4, 2], 'aplist': [-1, 0, 2, 0, -4, 2, 6, 4, 0, 2, 8, -6, -6, 4, -8, 6, 4, -10, -4, 8, 6, 0, 12, -2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 466578, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '466578.ce', 'trace_hash': 2045914672931227965}
• 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': '0.00012194191176010829636822772335', 'prec': 113}, 'conductor': 466578, 'gens': [], 'heights': [], 'lmfdb_label': '466578.ce1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037659756406173925515194717239', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7115024612445226370940196412309152633', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[314595, -314595, 2]], 'xcoord_integral_points': []}
• lmfdb_label 466578.ce1 does not appear in ec_iwasawa
• lmfdb_label 466578.ce1 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: 11505332
    {'conductor': 466578, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '466578.ce1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11505333
    {'conductor': 466578, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '466578.ce1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11505334
    {'conductor': 466578, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '466578.ce1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11505335
    {'conductor': 466578, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '466578.ce1', 'prime': 23, '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: 4529773
    {'adelic_gens': [[5, 4, 7724, 7725], [7713, 16, 7712, 17], [1, 16, 0, 1], [13, 2592, 2964, 2905], [5363, 5136, 7536, 2891], [2192, 2571, 4461, 14], [2575, 0, 0, 7727], [7414, 3225, 2901, 6442], [1, 0, 16, 1], [15, 2, 7630, 7715]], 'adelic_image': '7728.192.1.?', 'conductor': 466578, 'lmfdb_label': '466578.ce1', 'prime': 0}
  • id: 1552604
    {'conductor': 466578, 'elladic_image': '16.24.0.13', 'lmfdb_label': '466578.ce1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 466578.ce does not appear in ec_padic