Elliptic curve data - 398544.bc1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '398544bc', 'Clabel': '398544bc1', 'Cnumber': 1, 'abc_quality': 0.817832900198681, 'absD': 18189331658145792, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 10488, 'ainvs': [0, -1, 0, -69432, -9552528], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 398544, 'degree': 3110400, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8252828073824662668054617565', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1], 'jinv': [-192100033, 94392], 'lmfdb_iso': '398544.bc', 'lmfdb_label': '398544.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -12, -27], 'min_quad_twist_disc': 76, 'modell_images': [], 'modm_images': ['10488.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.7585421432906254640801589296', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 24909], [3, 4, 132848], [19, 200, 1104], [23, 24, 17328]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34008386276069927261628408090', 'prec': 107}, 'szpiro_ratio': 3.5417284244701395, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 2, 0, -4, 0, 1, 0, -2, 0, -3, 0, -2, 0, 5, 0, 0, 0], 'aplist': [0, -1, 2, -4, -2, -3, 5, 0, -1, 6, -8, -2, 5, -1, 0, 13, 6, -7, -16, 11, -7, 1, 2, 10, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 398544, 'isogeny_matrix': [[1]], 'lmfdb_iso': '398544.bc', 'trace_hash': 1148270297147172798}
• 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': '0.025976431969318841024214298351', 'prec': 107}, 'conductor': 398544, 'gens': [[3157, 81586, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '4.7585421432906254640801589296', 'prec': 100}], 'lmfdb_label': '398544.bc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14369560972720157427638766461', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4702529175418482233070783126189433308', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 398544.bc1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16441614
    {'degree': 3, 'field': [-30, -18, -1, 1], 'lmfdb_label': '398544.bc1', 'torsion': [2]}
  • id: 16441615
    {'degree': 6, 'field': [10488, 0, 3025, 0, -110, 0, 1], 'lmfdb_label': '398544.bc1', 'torsion': [2, 2]}
  • id: 16441616
    {'degree': 8, 'field': [-623808, 0, 261193, 0, 2736, 0, 0, 0, 1], 'lmfdb_label': '398544.bc1', 'torsion': [3]}
  • id: 16441617
    {'degree': 12, 'field': [-42388920, -32825304, -14108262, -4854884, 1083274, -874184, 193618, -45492, 5322, -428, 55, -2, 1], 'lmfdb_label': '398544.bc1', 'torsion': [4]}
• 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: 9858876
    {'conductor': 398544, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '398544.bc1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9858877
    {'conductor': 398544, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '398544.bc1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9858878
    {'conductor': 398544, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '398544.bc1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9858879
    {'conductor': 398544, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '398544.bc1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  {'adelic_gens': [[2623, 2, 0, 1], [553, 2, 553, 3], [10487, 2, 10486, 3], [10033, 2, 10033, 3], [1, 1, 10487, 0], [1, 0, 2, 1], [1, 2, 0, 1], [5245, 2, 5245, 3], [3497, 2, 3497, 3]], 'adelic_image': '10488.2.0.?', 'conductor': 398544, 'lmfdb_label': '398544.bc1', 'prime': 0}
• lmfdb_iso 398544.bc does not appear in ec_padic