Elliptic curve data - 479808.ni6

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '479808ni', 'Clabel': '479808ni4', 'Cnumber': 4, 'abc_quality': 1.06742381122777, 'absD': 65847341385090655872686827241472, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5712, 'ainvs': [0, 0, 0, 9876028596, -98580268761968], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 479808, 'degree': 1132462080, 'elladic_images': ['16.48.0.120'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7945373687446745702023382328', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 346, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4738217997934888496063, 2928751705237796928], 'lmfdb_iso': '479808.ni', 'lmfdb_label': '479808.ni6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 349916, 20936165], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '16.48.0.z.2', '68.12.0.h.1', '136.48.0.?', '168.48.0.?', '272.96.1.?', '336.96.0.?', '2856.96.0.?', '5712.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '103.01856609950557243877922701', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 7497], [3, 8, 53312], [7, 32, 9792], [17, 18, 28224]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2325553790430451078261910604', 'prec': 100}, 'szpiro_ratio': 6.165649470269178, '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, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 1, 0, -4, 0], 'aplist': [0, 0, 2, 0, -4, -2, 1, -4, 8, 6, 0, 2, 10, -4, 0, 6, -4, 6, -12, -8, 6, 0, -12, -6, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 479808, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '479808.ni', 'trace_hash': 2152836487706259600}
• 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': '0.000068472747574229607356798064384', 'prec': 117}, 'conductor': 479808, 'gens': [[444055468754488320726506984385657002226848636, 36707742519009023372043397967564113869077344365394154553224957369040, 178958275343637323077]], 'heights': [{'__RealLiteral__': 0, 'data': '103.01856609950557243877922701', 'prec': 100}], 'lmfdb_label': '479808.ni6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.011313586968407904361364826045', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3240760554194764640023326361805245781', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[9884, 0, 1]], 'xcoord_integral_points': [9884]}
• lmfdb_label 479808.ni6 does not appear in ec_iwasawa
• lmfdb_label 479808.ni6 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: 11826770
    {'conductor': 479808, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '479808.ni6', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11826771
    {'conductor': 479808, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '479808.ni6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11826772
    {'conductor': 479808, 'conductor_valuation': 2, 'discriminant_valuation': 22, 'j_denominator_valuation': 16, 'kodaira_symbol': -20, 'lmfdb_label': '479808.ni6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11826773
    {'conductor': 479808, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '479808.ni6', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4606458
    {'adelic_gens': [[2447, 0, 0, 5711], [1, 16, 0, 1], [1903, 0, 0, 5711], [1408, 1365, 3843, 1618], [2435, 1344, 756, 1511], [5697, 16, 5696, 17], [1, 0, 16, 1], [15, 2, 5614, 5699], [5, 4, 5708, 5709], [3086, 5229, 5313, 2834]], 'adelic_image': '5712.192.1.?', 'conductor': 479808, 'lmfdb_label': '479808.ni6', 'prime': 0}
  • id: 1590598
    {'conductor': 479808, 'elladic_image': '16.48.0.120', 'lmfdb_label': '479808.ni6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 479808.ni does not appear in ec_padic