Elliptic curve data - 283140.bs1

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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': '283140bs', 'Clabel': '283140bs1', 'Cnumber': 1, 'abc_quality': 1.0723611999657963, 'absD': 44061270991966800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 17160, 'ainvs': [0, 0, 0, -88572, 972961], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 283140, 'degree': 1658880, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8833724295807159068948876495', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2], 'jinv': [3718856704, 2132325], 'lmfdb_iso': '283140.bs', 'lmfdb_label': '283140.bs1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -81, 0], 'min_quad_twist_disc': 33, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '26.6.0.b.1', '52.12.0.e.1', '260.24.0.?', '264.12.0.?', '3432.24.0.?', '17160.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 14157], [3, 8, 31460], [5, 6, 56628], [11, 62, 2340], [13, 14, 21780]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.095930411339172647306117465097', 'prec': 110}, 'szpiro_ratio': 3.6473970264572566, '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, 1, 0, 0, 0, -2, 0, 2, 0], 'aplist': [0, 0, 1, 2, 0, 1, -2, 2, 4, 2, -2, 2, -6, 0, -6, 2, 6, -14, 2, 10, 6, -4, 2, 14, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 283140, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '283140.bs', 'trace_hash': 1349555670920875247}
• 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': '0.023127223261630250107373722256', 'prec': 107}, 'conductor': 283140, 'gens': [], 'heights': [], 'lmfdb_label': '283140.bs1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30803514784255914232012402455', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6964217741107097078414882946361779397', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[11, 0, 1]], 'xcoord_integral_points': [11]}
• lmfdb_label 283140.bs1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12044973
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '283140.bs1', 'torsion': [2, 2]}
  • id: 12044974
    {'degree': 4, 'field': [3589, -34, -64, -2, 1], 'lmfdb_label': '283140.bs1', 'torsion': [4]}
  • id: 12044977
    {'degree': 8, 'field': [-16946, 89249, -13082, -1163, 1571, 61, -41, -4, 1], 'lmfdb_label': '283140.bs1', 'torsion': [6]}
  • id: 12044975
    {'degree': 8, 'field': [91809, 49086, 13122, 7818, 3310, 266, 2, -2, 1], 'lmfdb_label': '283140.bs1', 'torsion': [2, 4]}
  • id: 12044976
    {'degree': 8, 'field': [583696, 0, -58288, 0, -372, 0, -328, 0, 1], 'lmfdb_label': '283140.bs1', 'torsion': [2, 4]}
  • id: 12044980
    {'degree': 16, 'field': [3696396804, 0, -495032976, 0, -105833160, 0, 2587983, 0, 3364170, 0, -230097, 0, -155, 0, -26, 0, 1], 'lmfdb_label': '283140.bs1', 'torsion': [2, 6]}
  • id: 12044979
    {'degree': 16, 'field': [5332542372, -4387826016, 3831408240, -2151268128, 928234312, -401919568, 123047088, -37902096, 10000872, -2010176, 490760, -62368, 13668, -1080, 192, -8, 1], 'lmfdb_label': '283140.bs1', 'torsion': [8]}
  • id: 12044978
    {'degree': 16, 'field': [9784332801, -6926517378, -1834398018, 1006627446, 727233070, -387822732, 79768902, 4321218, 7820172, -1301652, -370102, 8382, 7887, -528, 72, 0, 1], 'lmfdb_label': '283140.bs1', 'torsion': [4, 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: 7012621
    {'conductor': 283140, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '283140.bs1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 7012622
    {'conductor': 283140, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '283140.bs1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7012623
    {'conductor': 283140, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '283140.bs1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7012624
    {'conductor': 283140, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '283140.bs1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7012625
    {'conductor': 283140, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '283140.bs1', 'prime': 13, '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

  
  
  • id: 3449679
    {'adelic_gens': [[8119, 4686, 2178, 12475], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [9359, 0, 0, 17159], [8977, 4686, 12474, 12475], [3, 8, 28, 75], [5, 8, 48, 77], [8581, 528, 0, 1], [5446, 15081, 12903, 10924], [17153, 8, 17152, 9], [5719, 0, 0, 17159]], 'adelic_image': '17160.48.0.?', 'conductor': 283140, 'lmfdb_label': '283140.bs1', 'prime': 0}
  • id: 1006082
    {'conductor': 283140, 'elladic_image': '4.6.0.3', 'lmfdb_label': '283140.bs1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 283140.bs does not appear in ec_padic