Elliptic curve data - 325.d2

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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': '325c', 'Clabel': '325c2', 'Cnumber': 2, 'abc_quality': 0.8991385141629263, 'absD': 66015625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, 1, 0, 100, 125], 'analytic_rank': 0, 'bad_primes': [5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 325, 'degree': 96, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.18967730920486112037711638822', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [6967871, 4225], 'lmfdb_iso': '325.d', 'lmfdb_label': '325.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4, 1], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '40.12.0-4.a.1.1', '104.12.0.?', '260.12.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61504164701218906692326327839', 'prec': 107}, 'szpiro_ratio': 4.39388241477034, '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, 0, 2, 4, -3, 1, 0, 2, -2, 1, 4, 0, -1, -2, 1, -6, 0], 'aplist': [1, 2, 0, 4, 2, 1, -2, -6, 6, 2, -10, 2, -6, -10, -4, -2, 6, 2, 4, 6, 6, -12, 16, 2, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 325, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '325.d', 'trace_hash': 623722203450000120}
• 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': '0.68430290322689335676319790314', 'prec': 103}, 'conductor': 325, 'gens': [], 'heights': [], 'lmfdb_label': '325.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2036426273119210784029964050', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4072852546238421568059928100316078269', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-5, 5, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '5': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '325.d2'}
• ec_torsion_growth •

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

  
  
  • id: 13733
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '325.d2', 'torsion': [2, 2]}
  • id: 13734
    {'degree': 4, 'field': [-4, 0, -7, 0, 1], 'lmfdb_label': '325.d2', 'torsion': [4]}
  • id: 13737
    {'degree': 8, 'field': [-169, 169, -208, 77, -35, -7, 7, -4, 1], 'lmfdb_label': '325.d2', 'torsion': [6]}
  • id: 13735
    {'degree': 8, 'field': [25, 0, 0, 0, 31, 0, -8, 0, 1], 'lmfdb_label': '325.d2', 'torsion': [2, 4]}
  • id: 13736
    {'degree': 8, 'field': [196, -84, 18, -62, 29, -2, 8, -4, 1], 'lmfdb_label': '325.d2', 'torsion': [2, 4]}
  • id: 13738
    {'degree': 16, 'field': [1, 0, 0, 0, 41, 0, 0, 0, 16, 0, 0, 0, 41, 0, 0, 0, 1], 'lmfdb_label': '325.d2', 'torsion': [4, 4]}
  • id: 13740
    {'degree': 16, 'field': [28561, 0, -41743, 0, 29068, 0, -8631, 0, 405, 0, 339, 0, -77, 0, 2, 0, 1], 'lmfdb_label': '325.d2', 'torsion': [2, 6]}
  • id: 13739
    {'degree': 16, 'field': [67600, 0, 0, 0, -42120, 0, 11180, 0, 3701, 0, -2089, 0, 356, 0, -29, 0, 1], 'lmfdb_label': '325.d2', 'torsion': [8]}
• 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: 3057
    {'conductor': 325, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '325.d2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3058
    {'conductor': 325, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '325.d2', 'prime': 13, 'reduction_type': 1, '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: 1667131
    {'adelic_gens': [[391, 8, 327, 17], [103, 514, 0, 519], [1, 0, 8, 1], [5, 8, 48, 77], [513, 8, 512, 9], [3, 8, 10, 27], [261, 8, 2, 17], [41, 2, 0, 1], [1, 8, 0, 1]], 'adelic_image': '520.48.0.?', 'conductor': 325, 'lmfdb_label': '325.d2', 'prime': 0}
  • id: 1347
    {'conductor': 325, 'elladic_image': '4.6.0.5', 'lmfdb_label': '325.d2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 325.d does not appear in ec_padic