Elliptic curve data - 13650.bs8

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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': '13650bq', 'Clabel': '13650bq3', 'Cnumber': 3, 'abc_quality': 1.074254776643201, 'absD': 40819064832000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, 1, 1, 694037, -211751719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 13650, 'degree': 497664, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4494986568006053084363753251', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2366200373628880151, 2612420149248000], 'lmfdb_iso': '13650.bs', 'lmfdb_label': '13650.bs8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 27761, -1694014], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.24.0.g.1', '15.8.0-3.a.1.1', '24.48.0.bt.1', '28.12.0-4.c.1.2', '30.24.0-6.a.1.1', '60.48.0-12.g.1.5', '84.48.0.?', '120.96.0.?', '156.48.0.?', '168.96.0.?', '260.12.0.?', '312.96.1.?', '420.96.0.?', '546.24.0.?', '780.96.0.?', '840.192.1.?', '910.6.0.?', '1092.96.0.?', '1560.192.1.?', '1820.24.0.?', '2184.192.1.?', '2730.48.0.?', '5460.192.1.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2275], [3, 4, 175], [5, 18, 546], [7, 8, 1950], [13, 14, 1050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6447797005835551211359956585', 'prec': 100}, 'szpiro_ratio': 5.457593128748151, '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, 1, -1, 1, 0, -1, -1, 1, 1, 0, 0, -1, -1, -1, 0, 1, 6, 1, -4, 0], 'aplist': [1, -1, 0, -1, 0, -1, 6, -4, 0, 6, 8, -2, 6, -8, -12, 6, -12, 14, 4, -12, -2, 8, 0, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 13650, 'isogeny_matrix': [[1, 4, 12, 2, 3, 6, 12, 4], [4, 1, 3, 2, 12, 6, 12, 4], [12, 3, 1, 6, 4, 2, 4, 12], [2, 2, 6, 1, 6, 3, 6, 2], [3, 12, 4, 6, 1, 2, 4, 12], [6, 6, 2, 3, 2, 1, 2, 6], [12, 12, 4, 6, 4, 2, 1, 3], [4, 4, 12, 2, 12, 6, 3, 1]], 'lmfdb_iso': '13650.bs', 'trace_hash': 1894584412720834662}
• 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': '0.0074540534030613488641225525365', 'prec': 110}, 'conductor': 13650, 'gens': [], 'heights': [], 'lmfdb_label': '13650.bs8', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11006518965351742930868846912', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6415645516844183034085232588437140506', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[275, -138, 1]], 'xcoord_integral_points': [275]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [0, 1], '5': 'a', '7': [0, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '13650.bs8'}
• ec_torsion_growth •

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

  
  
  • id: 702740
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '13650.bs8', 'torsion': [4]}
  • id: 702741
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '13650.bs8', 'torsion': [4]}
  • id: 702742
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '13650.bs8', 'torsion': [6]}
  • id: 702739
    {'degree': 2, 'field': [114, -1, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 2]}
  • id: 702746
    {'degree': 4, 'field': [4, 0, 11, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [12]}
  • id: 702745
    {'degree': 4, 'field': [40, 25, -1, -1, 1], 'lmfdb_label': '13650.bs8', 'torsion': [12]}
  • id: 702743
    {'degree': 4, 'field': [324, 0, -29, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 4]}
  • id: 702744
    {'degree': 4, 'field': [2094, -183, 25, -1, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 6]}
  • id: 702747
    {'degree': 6, 'field': [524, -192, 63, -37, 0, -3, 1], 'lmfdb_label': '13650.bs8', 'torsion': [6]}
  • id: 702749
    {'degree': 8, 'field': [100, 0, -2360, 0, 21, 0, -2, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [8]}
  • id: 702750
    {'degree': 8, 'field': [3136, 0, 588, 0, 329, 0, 42, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [24]}
  • id: 702751
    {'degree': 8, 'field': [4096, -1416, -596, 98, 173, -56, 6, -2, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 12]}
  • id: 702748
    {'degree': 8, 'field': [2946596, 1690432, 397280, 56852, 6189, 1058, 130, -2, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 4]}
  • id: 702754
    {'degree': 12, 'field': [-79316, -463302, 159651, -24570, 36741, -6174, 1701, 0, 255, -84, -27, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [12]}
  • id: 702752
    {'degree': 12, 'field': [274576, -100608, 3852, 26680, -3135, -3903, 1841, 186, -174, 74, 9, -3, 1], 'lmfdb_label': '13650.bs8', 'torsion': [3, 6]}
  • id: 702755
    {'degree': 12, 'field': [331696, -37416, 59544, -45370, 25485, -3396, 1175, -6, -30, 10, 9, -6, 1], 'lmfdb_label': '13650.bs8', 'torsion': [12]}
  • id: 702753
    {'degree': 12, 'field': [193591980, 52974810, 52865811, 9106734, 4019733, 347634, 230761, 0, 7275, -84, 129, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 6]}
  • id: 702758
    {'degree': 16, 'field': [65536, 169216, 262432, 65176, 281828, -88814, 293901, -105932, 120053, -34804, 22794, -4600, 1958, -238, 73, -4, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 24]}
  • id: 702760
    {'degree': 16, 'field': [2556160, -4972800, 6898256, -4245328, 3207188, -1589136, 1046276, -520692, 236365, -84948, 32020, -9332, 2526, -476, 88, -8, 1], 'lmfdb_label': '13650.bs8', 'torsion': [24]}
  • id: 702757
    {'degree': 16, 'field': [23532544, -20885760, 25761680, -9889264, 5397956, -846768, 773324, -394164, 65989, 20220, -2372, -1172, 438, -140, 40, -8, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 8]}
  • id: 702759
    {'degree': 16, 'field': [8284142400, -10385366400, 7657600000, -3237632000, 897261040, -99499040, -6981600, 6284320, 211436, -243656, 97680, -9104, -1651, 346, 50, -6, 1], 'lmfdb_label': '13650.bs8', 'torsion': [2, 12]}
  • id: 702756
    {'degree': 16, 'field': [19565295376, 0, 0, 0, 5438536744, 0, 0, 0, 2636961, 0, 0, 0, 6694, 0, 0, 0, 1], 'lmfdb_label': '13650.bs8', 'torsion': [4, 4]}
  • id: 702761
    {'degree': 18, 'field': [2540239165310400, -594335498004000, 72249909188400, -140001060188940, 60964160086260, -10144996653180, 318533268136, 111307734444, -9147569346, -657636185, 98442045, 16403544, -1103304, -57294, 15990, -1340, -6, -9, 1], 'lmfdb_label': '13650.bs8', 'torsion': [18]}
• 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: 298320
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '13650.bs8', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 24}
  • id: 298321
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '13650.bs8', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 298322
    {'conductor': 13650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '13650.bs8', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 298323
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13650.bs8', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 298324
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '13650.bs8', '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: 1754666
    {'adelic_gens': [[3201, 5008, 10916, 2189], [2168, 10917, 2643, 86], [2737, 24, 2634, 10591], [1, 12, 12, 145], [15, 106, 9614, 1691], [1821, 3644, 8, 5493], [10897, 24, 10896, 25], [1, 24, 0, 1], [1696, 21, 3915, 10546], [4696, 3, 1101, 10834], [1, 0, 24, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 13650, 'lmfdb_label': '13650.bs8', 'prime': 0}
  • id: 64689
    {'conductor': 13650, 'elladic_image': '4.6.0.1', 'lmfdb_label': '13650.bs8', 'modell_image': '2B', 'prime': 2}
  • id: 64690
    {'conductor': 13650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '13650.bs8', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 13650.bs does not appear in ec_padic