Elliptic curve data - 348480.bx1

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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': '348480bx', 'Clabel': '348480bx1', 'Cnumber': 1, 'abc_quality': 1.0265376302119646, 'absD': 1614620042088138253585612800, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 132, 'ainvs': [0, 0, 0, -807847788, -8623719304112], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 348480, 'degree': 181665792, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0002228094569949635266725213', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 49, 'isogeny_degrees': [1, 2], 'jinv': [129392980254539, 3583180800], 'lmfdb_iso': '348480.bx', 'lmfdb_label': '348480.bx1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -11591, 467721], 'min_quad_twist_disc': -264, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.f.1', '44.6.0.c.1', '66.6.0.a.1', '132.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '18.534204291280522101822646250', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 8, 38720], [5, 6, 69696], [11, 42, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61277443968424424565674403718', 'prec': 103}, 'szpiro_ratio': 5.731629901828448, '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, -1, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, -1, -2, 0, -4, -6, -2, 4, 2, 8, -10, 2, 6, -8, -10, 0, -12, -4, -8, 8, -6, 8, 6, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 348480, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '348480.bx', 'trace_hash': 1256535582830810073}
• 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': '0.00033531317271308450304210411824', 'prec': 113}, 'conductor': 348480, 'gens': [[-40469312166, 70494801018880, 1481]], 'heights': [{'__RealLiteral__': 0, 'data': '18.534204291280522101822646250', 'prec': 100}], 'lmfdb_label': '348480.bx1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.028366239004222953307793453334', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2059653494364638824341297391744694978', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-14278, 0, 1]], 'xcoord_integral_points': [-14278]}
• lmfdb_label 348480.bx1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14550949
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '348480.bx1', 'torsion': [2, 2]}
  • id: 14550950
    {'degree': 4, 'field': [132, 0, 22, 0, 1], 'lmfdb_label': '348480.bx1', 'torsion': [4]}
  • id: 14550953
    {'degree': 8, 'field': [-13068, 0, 7986, 0, 396, 0, 0, 0, 1], 'lmfdb_label': '348480.bx1', 'torsion': [6]}
  • id: 14550952
    {'degree': 8, 'field': [-5550, -48900, -7695, 6630, 589, 136, 15, -2, 1], 'lmfdb_label': '348480.bx1', 'torsion': [2, 4]}
  • id: 14550951
    {'degree': 8, 'field': [17424, 0, -2904, 0, 352, 0, -22, 0, 1], 'lmfdb_label': '348480.bx1', 'torsion': [2, 4]}
  • id: 14550955
    {'degree': 16, 'field': [-1558289708, -3505155208, -1079030082, 769938216, 384465312, 50507376, 9332564, 2249848, 248319, 242596, 42644, -6132, 330, 432, -12, -4, 1], 'lmfdb_label': '348480.bx1', 'torsion': [2, 6]}
  • id: 14550954
    {'degree': 16, 'field': [131769, 0, -527076, 0, 621577, 0, -186340, 0, 15488, 0, 242, 0, 77, 0, -22, 0, 1], 'lmfdb_label': '348480.bx1', '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: 8626577
    {'conductor': 348480, 'conductor_valuation': 6, 'discriminant_valuation': 34, 'j_denominator_valuation': 16, 'kodaira_symbol': -28, 'lmfdb_label': '348480.bx1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8626578
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '348480.bx1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8626579
    {'conductor': 348480, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '348480.bx1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8626580
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '348480.bx1', 'prime': 11, 'reduction_type': 0, '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: 3840058
    {'adelic_gens': [[1, 2, 2, 5], [46, 1, 43, 0], [3, 4, 8, 11], [52, 1, 119, 0], [101, 34, 32, 99], [1, 4, 0, 1], [1, 0, 4, 1], [129, 4, 128, 5]], 'adelic_image': '132.12.0.?', 'conductor': 348480, 'lmfdb_label': '348480.bx1', 'prime': 0}
  • id: 1206436
    {'conductor': 348480, 'elladic_image': '2.3.0.1', 'lmfdb_label': '348480.bx1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 348480.bx does not appear in ec_padic