Elliptic curve data - 408629.a2

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

  
  {'Ciso': '408629a', 'Clabel': '408629a2', 'Cnumber': 2, 'abc_quality': 0.8909197155795491, 'absD': 52177346062279321, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 76024, 'ainvs': [1, 0, 0, -100809, -16517606], 'analytic_rank': 1, 'bad_primes': [13, 17, 43], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 408629, 'degree': 3902976, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9141551845484860689104848138', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-17923019113, 8254129], 'lmfdb_iso': '408629.a', 'lmfdb_label': '408629.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -54, 185], 'min_quad_twist_disc': -43, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '68.12.0.d.1', '344.12.0.?', '1768.24.0.?', '5848.24.0.?', '76024.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5498563459269860991164431347', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.033555126701704857174063557128', 'prec': 107}, 'szpiro_ratio': 3.619192378442683, '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, -2, -1, -2, 2, -2, 3, 1, 2, -6, 2, -1, 2, 4, -1, 1, -1, -4, 2], 'aplist': [-1, -2, -2, -2, -6, -1, 1, -4, 6, 6, -2, -2, -6, 0, -4, 14, 4, -2, 0, 10, -10, 14, 12, 18, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 408629, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '408629.a', 'trace_hash': 1439655561808160374}
• 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': '0.021746327873646437965846550400', 'prec': 107}, 'conductor': 408629, 'gens': [[7925, 459343, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5498563459269860991164431347', 'prec': 100}], 'lmfdb_label': '408629.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13106034021298931924472726837', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4547321216608170767009862263739097902', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[1519, -1519, 2]], 'xcoord_integral_points': []}
• lmfdb_label 408629.a2 does not appear in ec_iwasawa
• lmfdb_label 408629.a2 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: 10099913
    {'conductor': 408629, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '408629.a2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10099914
    {'conductor': 408629, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '408629.a2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10099915
    {'conductor': 408629, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '408629.a2', 'prime': 43, '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: 4194127
    {'adelic_gens': [[76017, 8, 76016, 9], [38013, 12384, 60114, 24769], [3, 8, 10, 27], [1, 0, 8, 1], [8945, 28294, 0, 1], [60111, 0, 0, 76023], [19007, 12384, 12599, 24769], [1, 8, 0, 1], [35089, 44204, 0, 1], [5, 8, 48, 77]], 'adelic_image': '76024.48.0.?', 'conductor': 408629, 'lmfdb_label': '408629.a2', 'prime': 0}
  • id: 1384096
    {'conductor': 408629, 'elladic_image': '4.6.0.5', 'lmfdb_label': '408629.a2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 408629.a does not appear in ec_padic