Elliptic curve data - 389376.e1

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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': '389376e', 'Clabel': '389376e2', 'Cnumber': 2, 'absD': 1943764992, 'ainvs': [0, 0, 0, -312, 0], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': -4, 'conductor': 389376, 'degree': 233472, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.47179146132083372538144823814', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [1728, 1], 'lmfdb_iso': '389376.e', 'lmfdb_label': '389376.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -702, 0], 'min_quad_twist_disc': 24, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3105329259115095182522750833', 'prec': 103}, 'szpiro_ratio': 2.2406726805125343, '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, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0], 'aplist': [0, 0, -4, 0, 0, 0, 8, 0, 0, 10, 0, -2, 10, 0, 0, 14, 0, 12, 0, 0, -16, 0, 0, 10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 389376, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '389376.e', 'trace_hash': 1200194244468940596}
• 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': '0.38923075036105470753149441263', 'prec': 103}, 'conductor': 389376, 'gens': [], 'heights': [], 'lmfdb_label': '389376.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2477672064308385365356187306', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4955344128616770730712374612379936028', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[0, 0, 1]], 'xcoord_integral_points': [0]}
• lmfdb_label 389376.e1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16100475
    {'degree': 2, 'field': [-78, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [2, 2]}
  • id: 16100476
    {'degree': 4, 'field': [78, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [4]}
  • id: 16100479
    {'degree': 8, 'field': [-2028, 0, 0, 0, 156, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [6]}
  • id: 16100477
    {'degree': 8, 'field': [5476, 0, -1904, 0, -132, 0, -8, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [2, 4]}
  • id: 16100478
    {'degree': 8, 'field': [6241, 0, -932, 0, 162, 0, 4, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [2, 4]}
  • id: 16100480
    {'degree': 8, 'field': [760500, 0, 0, 0, -1716, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [10]}
  • id: 16100482
    {'degree': 16, 'field': [216316, -173120, 198400, -5120, 22280, 27952, 15136, 608, 4480, 1632, 160, 48, 100, -8, -8, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [8]}
  • id: 16100485
    {'degree': 16, 'field': [257049, 0, 0, 0, -79092, 0, 0, 0, 5070, 0, 0, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [2, 6]}
  • id: 16100481
    {'degree': 16, 'field': [2313441, 0, 0, 0, 0, 0, 0, 0, 51714, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [4, 4]}
  • id: 16100483
    {'degree': 16, 'field': [4112784, 0, 0, 0, 316368, 0, 0, 0, 26364, 0, 0, 0, -156, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [3, 6]}
  • id: 16100484
    {'degree': 16, 'field': [37015056, 0, 0, 0, -949104, 0, 0, 0, -249444, 0, 0, 0, -1404, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [10]}
  • id: 16100486
    {'degree': 16, 'field': [57836025, 0, 0, 0, 3559140, 0, 0, 0, 69966, 0, 0, 0, 156, 0, 0, 0, 1], 'lmfdb_label': '389376.e1', 'torsion': [2, 10]}
• 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: 9635255
    {'conductor': 389376, 'conductor_valuation': 8, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '389376.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9635256
    {'conductor': 389376, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '389376.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9635257
    {'conductor': 389376, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '389376.e1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• lmfdb_label 389376.e1 does not appear in ec_galrep
• lmfdb_iso 389376.e does not appear in ec_padic