Elliptic curve data - 328560.df2

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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': '328560df', 'Clabel': '328560df2', 'Cnumber': 2, 'abc_quality': 1.057383147699428, 'absD': 64940216072222629732908898713600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1480, 'ainvs': [0, 1, 0, -490538076240, 132237550267427988], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 328560, 'degree': 3235921920, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.3032152936197923811978246990', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2], 'jinv': [1242142983306846366056931529, 6179359141291622400], 'lmfdb_iso': '328560.df', 'lmfdb_label': '328560.df2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -22394908, -40800879152], 'min_quad_twist_disc': -148, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '40.24.0-40.a.1.6', '296.24.0.?', '740.24.0.?', '1480.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8046091567377348495965447420', 'prec': 100}, 'szpiro_ratio': 7.27180420206729, '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, 4, 0, 1, 0, -4, 0, -2, 0, 1, 0, 2, 0, 8, 0], 'aplist': [0, 1, 1, 4, -4, -2, 2, 8, 0, 6, -8, 0, -6, 4, 12, -6, 0, 6, -12, 0, -6, -8, -4, 14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 328560, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '328560.df', 'trace_hash': 1420306259288146739}
• 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': '0.000024756299223806881021516082778', 'prec': 117}, 'conductor': 328560, 'gens': [], 'heights': [], 'lmfdb_label': '328560.df2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.017358580634755456268032998393', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9992712228095714051935035370739669917', 'prec': 130}, 'tamagawa_product': 512, 'torsion_generators': [[403682, 0, 1], [405051, 0, 1]], 'xcoord_integral_points': [-808734, 403682, 405051]}
• lmfdb_label 328560.df2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13791302
    {'degree': 2, 'field': [-46, -1, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 4]}
  • id: 13791304
    {'degree': 4, 'field': [441, 0, 32, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 4]}
  • id: 13791303
    {'degree': 4, 'field': [1369, 0, 0, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 4]}
  • id: 13791307
    {'degree': 8, 'field': [-694083, 0, 19832, 0, -2886, 0, 0, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 6]}
  • id: 13791306
    {'degree': 8, 'field': [-12240, -36960, -14860, -3820, -1574, -114, -19, -4, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 8]}
  • id: 13791305
    {'degree': 8, 'field': [4096, 0, 0, 0, 313, 0, 0, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [4, 4]}
  • id: 13791308
    {'degree': 16, 'field': [5476, 0, 21904, 0, 35224, 0, 23088, 0, 5880, 0, 552, 0, 244, 0, 16, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 8]}
  • id: 13791310
    {'degree': 16, 'field': [224640144, 0, -142758828, 0, -24146840, 0, 516024, 0, 104925, 0, -12744, 0, -1122, 0, 0, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 12]}
  • id: 13791309
    {'degree': 16, 'field': [234733041, 0, -56815960, 0, 14251216, 0, -1641320, 0, 137426, 0, -6680, 0, 656, 0, -40, 0, 1], 'lmfdb_label': '328560.df2', 'torsion': [2, 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: 8134945
    {'conductor': 328560, 'conductor_valuation': 4, 'discriminant_valuation': 34, 'j_denominator_valuation': 22, 'kodaira_symbol': -30, 'lmfdb_label': '328560.df2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8134946
    {'conductor': 328560, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '328560.df2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 8134947
    {'conductor': 328560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '328560.df2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8134948
    {'conductor': 328560, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '328560.df2', '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: 3721458
    {'adelic_gens': [[1, 0, 4, 1], [1107, 1476, 1472, 1469], [741, 4, 2, 9], [1, 4, 0, 1], [891, 2, 886, 1479], [1477, 4, 1476, 5], [479, 1478, 0, 1479]], 'adelic_image': '1480.48.0.?', 'conductor': 328560, 'lmfdb_label': '328560.df2', 'prime': 0}
  • id: 1145563
    {'conductor': 328560, 'elladic_image': '4.12.0.1', 'lmfdb_label': '328560.df2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 328560.df does not appear in ec_padic