Elliptic curve data - 476850.gz4

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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': '476850gz', 'Clabel': '476850gz4', 'Cnumber': 4, 'abc_quality': 1.042494685403093, 'absD': 1048287962623864746093750, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 22440, 'ainvs': [1, 1, 1, 7344062, -48658120219], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 476850, 'degree': 78643200, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2893093791825343396498385260', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 181, 'isogeny_degrees': [1, 2, 4], 'jinv': [116149984977671, 2779502343750], 'lmfdb_iso': '476850.gz', 'lmfdb_label': '476850.gz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 1017, -78813], 'min_quad_twist_disc': 85, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.v.1', '88.12.0.?', '264.24.0.?', '680.12.0.?', '1020.12.0.?', '2040.24.0.?', '7480.24.0.?', '22440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 21675], [3, 4, 158950], [5, 18, 6358], [11, 12, 43350], [17, 146, 1650]], 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0679837509373761122246915505', 'prec': 100}, 'szpiro_ratio': 4.798443250852477, '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, 0, -1, 0, 1, 1, 0, -1, -1, -2, 0, 0, 1, 0, 1, 8, 0], 'aplist': [1, -1, 0, 0, -1, -2, 0, 8, 4, -2, -8, -2, -6, -8, 4, -2, 4, 6, 12, 12, 2, 0, -4, -6, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 476850, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '476850.gz', 'trace_hash': 1453822713100473455}
• 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': '0.0013897675745639012017480848103', 'prec': 110}, 'conductor': 476850, 'gens': [], 'heights': [], 'lmfdb_label': '476850.gz4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.042377157526631445074280335380', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7121380817044124847539414643314262983', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[11955, -11959, 2]], 'xcoord_integral_points': []}
• lmfdb_label 476850.gz4 does not appear in ec_iwasawa
• lmfdb_label 476850.gz4 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: 11756035
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '476850.gz4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 11756036
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '476850.gz4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11756037
    {'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '476850.gz4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11756038
    {'conductor': 476850, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '476850.gz4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11756039
    {'conductor': 476850, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '476850.gz4', 'prime': 17, '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: 4589531
    {'adelic_gens': [[22433, 8, 22432, 9], [1, 0, 8, 1], [1, 8, 0, 1], [13463, 0, 0, 22439], [1, 4, 4, 17], [14876, 17425, 11815, 19806], [7, 6, 22434, 22435], [18361, 4760, 8500, 19041], [8416, 1955, 5185, 21846], [15811, 3400, 16490, 5781], [7919, 0, 0, 22439]], 'adelic_image': '22440.48.0.?', 'conductor': 476850, 'lmfdb_label': '476850.gz4', 'prime': 0}
  • id: 1582428
    {'conductor': 476850, 'elladic_image': '4.6.0.1', 'lmfdb_label': '476850.gz4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 476850.gz does not appear in ec_padic