Elliptic curve data - 254320.bn1

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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': '254320bn', 'Clabel': '254320bn2', 'Cnumber': 2, 'abc_quality': 0.9300008197172019, 'absD': 12716000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2244, 'ainvs': [0, 1, 0, -15005, 702503], 'analytic_rank': 2, 'bad_primes': [2, 5, 11, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 254320, 'degree': 373248, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0305660591042500481892500350', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 39, 'isogeny_degrees': [1, 3], 'jinv': [-5050365927424, 171875], 'lmfdb_iso': '254320.bn', 'lmfdb_label': '254320.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -15005, -702503], 'min_quad_twist_disc': -4, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '22.2.0.a.1', '66.8.0.a.1', '204.8.0.?', '2244.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.0673914460266295508870856923', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.096265714721583828536172851050', 'prec': 107}, 'szpiro_ratio': 3.250924915465037, '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, 1, 0, -4, 0, -2, 0, 1, 0, -4, 0, 1, 0, 0, 0, -2, 0], 'aplist': [0, 1, 1, -4, 1, -4, 0, -2, 0, -6, 5, -5, -6, -8, 9, -6, -9, 10, -5, -9, 16, 8, 6, -18, 13], 'class_deg': 3, 'class_size': 2, 'conductor': 254320, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '254320.bn', 'trace_hash': 1530237426870835341}
• 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': '0.12730975858228646019079171008', 'prec': 103}, 'conductor': 254320, 'gens': [[71, 10, 1], [-49, 1150, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.52876862326600602449487233529', 'prec': 103}, {'__RealLiteral__': 0, 'data': '2.0903829038953810421789047484', 'prec': 100}], 'lmfdb_label': '254320.bn1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.1805501205185181946428281219', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.121309202966075100794649475490659587', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-49, 26, 71, 551]}
• lmfdb_label 254320.bn1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10926450
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '254320.bn1', 'torsion': [3]}
  • id: 10926451
    {'degree': 3, 'field': [5, 23, -1, 1], 'lmfdb_label': '254320.bn1', 'torsion': [2]}
  • id: 10926452
    {'degree': 6, 'field': [575, -215, 194, 41, -18, -3, 1], 'lmfdb_label': '254320.bn1', 'torsion': [2, 2]}
  • id: 10926454
    {'degree': 6, 'field': [790, -2796, 1930, 338, 64, -2, 1], 'lmfdb_label': '254320.bn1', 'torsion': [6]}
  • id: 10926453
    {'degree': 6, 'field': [32912, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '254320.bn1', 'torsion': [3]}
  • id: 10926456
    {'degree': 12, 'field': [210681, 0, 273105, 0, 346222, 0, 9197, 0, -306, 0, 17, 0, 1], 'lmfdb_label': '254320.bn1', 'torsion': [3, 3]}
  • id: 10926455
    {'degree': 12, 'field': [3367475, 6578770, 2367730, -1208604, -193887, 80916, 10656, -10780, 229, 386, -38, -4, 1], 'lmfdb_label': '254320.bn1', 'torsion': [4]}
  • id: 10926457
    {'degree': 12, 'field': [12364045, -12454464, 40441661, -17299274, 3108516, -929292, 324833, -22272, 10888, -294, 81, -4, 1], 'lmfdb_label': '254320.bn1', 'torsion': [2, 6]}
  • id: 10926458
    {'degree': 18, 'field': [-114759361390405875, -29431489199953500, 4728781166578425, 2349220514838780, -140882754270225, -80336181940740, 4847275399186, 1378697852730, -113290092234, -12741216950, 1840410495, 56616120, -19393425, 269790, 86175, -680, -384, 0, 1], 'lmfdb_label': '254320.bn1', 'torsion': [9]}
  • id: 10926459
    {'degree': 18, 'field': [8703679193, 0, 0, 0, 0, 0, 17449531, 0, 0, 0, 0, 0, 31603, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '254320.bn1', 'torsion': [6]}
• 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: 6304687
    {'conductor': 254320, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '254320.bn1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6304688
    {'conductor': 254320, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '254320.bn1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 6304689
    {'conductor': 254320, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '254320.bn1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6304690
    {'conductor': 254320, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '254320.bn1', 'prime': 17, 'reduction_type': 0, '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: 3276885
    {'adelic_gens': [[1127, 2238, 1128, 2237], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [409, 6, 105, 19], [1121, 0, 0, 2243], [1306, 2055, 1673, 2237], [2239, 6, 2238, 7], [927, 2, 472, 7], [1, 6, 0, 1]], 'adelic_image': '2244.16.0.?', 'conductor': 254320, 'lmfdb_label': '254320.bn1', 'prime': 0}
  • id: 915702
    {'conductor': 254320, 'elladic_image': '3.4.0.1', 'lmfdb_label': '254320.bn1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 254320.bn does not appear in ec_padic