Elliptic curve data - 328560.f4

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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': '328560f', 'Clabel': '328560f2', 'Cnumber': 2, 'abc_quality': 1.0257583484881192, 'absD': 1330072570425600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 4440, 'ainvs': [0, -1, 0, -27836, -332160], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 37], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 328560, 'degree': 1658880, 'elladic_images': ['8.24.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5923106408320815041555317818', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [3631696, 2025], 'lmfdb_iso': '328560.f', 'lmfdb_label': '328560.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -20, 0], 'min_quad_twist_disc': -148, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.2', '20.24.0.c.1', '24.48.0.p.2', '40.48.0.j.1', '120.96.1.?', '148.24.0.?', '296.48.0.?', '740.48.0.?', '888.96.0.?', '1480.96.0.?', '4440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.7055486083090374531742500571', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67524643586332759097333746802', 'prec': 107}, 'szpiro_ratio': 3.331311108464676, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 0, 0, 1, 0, 4, 0, -6, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, -1, -1, 0, 4, -6, 6, -4, 0, 2, -8, 0, -6, 12, -8, 6, 12, -14, -4, -8, -6, -8, 12, -10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 328560, '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': '328560.f', 'trace_hash': 826871196037062273}
• 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': '0.041393919469125402220743828091', 'prec': 107}, 'conductor': 328560, 'gens': [[-2236, 149688, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '6.7055486083090374531742500571', 'prec': 100}], 'lmfdb_label': '328560.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39667667148988984109574166186', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3198694049153841166475317996555951801', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-12, 0, 1], [173, 0, 1]], 'xcoord_integral_points': [-160, -12, 173]}
• lmfdb_label 328560.f4 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 13790033
    {'degree': 2, 'field': [37, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 4]}
  • id: 13790035
    {'degree': 4, 'field': [64, 0, -21, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 4]}
  • id: 13790034
    {'degree': 4, 'field': [201, 8, -7, -2, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 4]}
  • id: 13790039
    {'degree': 8, 'field': [-5622483, 0, 1418284, 0, -8214, 0, 0, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 6]}
  • id: 13790037
    {'degree': 8, 'field': [4822, 2748, 2406, 192, 575, -12, 42, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 8]}
  • id: 13790036
    {'degree': 8, 'field': [12164, 3500, -3054, -862, 357, 86, -24, -4, 1], 'lmfdb_label': '328560.f4', 'torsion': [4, 4]}
  • id: 13790038
    {'degree': 8, 'field': [54121, 24900, 13284, 2040, 437, -60, 6, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 8]}
  • id: 13790041
    {'degree': 16, 'field': [4976836, 18037064, -8611124, -16027504, 1456106, 6510908, -56532, -1520692, 36047, 199336, -10968, -14276, 1166, 532, -56, -8, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 8]}
  • id: 13790040
    {'degree': 16, 'field': [69322276, 0, -53039808, 0, 18274980, 0, -3743748, 0, 496429, 0, -42732, 0, 2310, 0, -72, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [4, 8]}
  • id: 13790042
    {'degree': 16, 'field': [3485614320400, 0, 759770276768, 0, 72182690320, 0, 3901366176, 0, 131497512, 0, 2837400, 0, 38320, 0, 296, 0, 1], 'lmfdb_label': '328560.f4', 'torsion': [2, 12]}
• 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: 8134397
    {'conductor': 328560, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '328560.f4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8134398
    {'conductor': 328560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '328560.f4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8134399
    {'conductor': 328560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '328560.f4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8134400
    {'conductor': 328560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '328560.f4', 'prime': 37, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3721471
    {'adelic_gens': [[4145, 4292, 4292, 2221], [1, 0, 8, 1], [1481, 3848, 3404, 2073], [1, 8, 0, 1], [4433, 8, 4432, 9], [5, 4, 4436, 4437], [479, 0, 0, 4439], [1999, 962, 3774, 1555], [3477, 1406, 592, 739]], 'adelic_image': '4440.192.1.?', 'conductor': 328560, 'lmfdb_label': '328560.f4', 'prime': 0}
  • id: 1145573
    {'conductor': 328560, 'elladic_image': '8.24.0.13', 'lmfdb_label': '328560.f4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 328560.f does not appear in ec_padic