Elliptic curve data - 327600.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': '327600a', 'Clabel': '327600a2', 'Cnumber': 2, 'abc_quality': 1.1023763256232109, 'absD': 2305202205181368729600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [0, 0, 0, 136016325, 2227851398250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 327600, 'degree': 194641920, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9317988377073551119247409518', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [5964709808210123151, 49408483478681600], 'lmfdb_iso': '327600.a', 'lmfdb_label': '327600.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 37782, 10304681], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '260.6.0.?', '3640.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2807107179755301211645465933', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8846265565963047695095065453', 'prec': 100}, 'szpiro_ratio': 5.5425011596708424, '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, 0, 0, -1, 0, 0, 0, -6, 0, -1, 0, 0, 0, -8, 0, 0, 0], 'aplist': [0, 0, 0, -1, -6, -1, -8, 0, 0, -6, 2, -10, 8, -6, -8, -12, -8, 6, 8, 4, -2, 8, 12, 0, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 327600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '327600.a', 'trace_hash': 393199423408090109}
• 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': '0.00038448811667432250653424608975', 'prec': 113}, 'conductor': 327600, 'gens': [[8685, 2016000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2807107179755301211645465933', 'prec': 100}], 'lmfdb_label': '327600.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.033667581203345412419373741648', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5345150240680572911245150152537173226', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-9690, 0, 1]], 'xcoord_integral_points': [-9690, 8685]}
• lmfdb_label 327600.a2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13751246
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '327600.a2', 'torsion': [2, 2]}
  • id: 13751247
    {'degree': 4, 'field': [-224, 136, -28, -1, 1], 'lmfdb_label': '327600.a2', 'torsion': [4]}
  • id: 13751250
    {'degree': 8, 'field': [-235200, 0, 34980, 0, 360, 0, -60, 0, 1], 'lmfdb_label': '327600.a2', 'torsion': [6]}
  • id: 13751249
    {'degree': 8, 'field': [447496, -340816, 113164, -14392, 498, 244, 1, -2, 1], 'lmfdb_label': '327600.a2', 'torsion': [2, 4]}
  • id: 13751248
    {'degree': 8, 'field': [2303305, -219240, -116784, -1680, 11870, -168, 240, 0, 1], 'lmfdb_label': '327600.a2', 'torsion': [2, 4]}
  • id: 13751251
    {'degree': 16, 'field': [6878380096, 0, 17698983132, 0, -6746924820, 0, 858880152, 0, -39516016, 0, -238797, 0, 15915, 0, -207, 0, 1], 'lmfdb_label': '327600.a2', 'torsion': [8]}
  • id: 13751252
    {'degree': 16, 'field': [203675300416, 0, 249831276352, 0, 2726226448, 0, 466641664, 0, -9857840, 0, 250984, 0, 1408, 0, -8, 0, 1], 'lmfdb_label': '327600.a2', 'torsion': [2, 6]}
• 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: 8109384
    {'conductor': 327600, 'conductor_valuation': 4, 'discriminant_valuation': 23, 'j_denominator_valuation': 11, 'kodaira_symbol': -19, 'lmfdb_label': '327600.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8109385
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '327600.a2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8109386
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '327600.a2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8109387
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '327600.a2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8109388
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '327600.a2', '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: 3715389
    {'adelic_gens': [[1457, 4, 2914, 9], [561, 4, 1122, 9], [1, 2, 2, 5], [1042, 1, 3119, 0], [1, 4, 0, 1], [457, 3186, 3184, 455], [2, 1, 1819, 0], [3637, 4, 3636, 5], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '3640.12.0.?', 'conductor': 327600, 'lmfdb_label': '327600.a2', 'prime': 0}
  • id: 1142415
    {'conductor': 327600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '327600.a2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 327600.a does not appear in ec_padic