Elliptic curve data - 13650.bs2

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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': '13650bq8', 'Cnumber': 8, 'abc_quality': 1.1217371473231392, 'absD': 61157473446512625000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, 1, 1, -24913963, 46351560281], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 13650, 'degree': 1990656, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1426458373605506178536074466', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 44, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [109454124781830273937129, 3914078300576808000], 'lmfdb_iso': '13650.bs', 'lmfdb_label': '13650.bs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -996559, 370812482], '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', '12.48.0.c.3', '15.8.0-3.a.1.1', '28.12.0-4.c.1.1', '30.24.0-6.a.1.1', '42.24.0-6.a.1.2', '60.96.0-12.c.3.4', '84.96.0.?', '210.48.0.?', '312.96.1.?', '420.192.1.?', '520.12.0.?', '1560.192.1.?', '2184.192.1.?', '3640.24.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 525], [3, 4, 175], [5, 18, 546], [7, 8, 1950], [13, 14, 1050]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.3379268811435004305532277800', 'prec': 100}, 'szpiro_ratio': 6.58577473918795, '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': '0.0018635133507653372160306381341', 'prec': 110}, 'conductor': 13650, 'gens': [], 'heights': [], 'lmfdb_label': '13650.bs2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11006518965351742930868846912', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6415645516844183034085232588437140506', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[13155, -13159, 2]], 'xcoord_integral_points': []}
• 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.bs2'}
• ec_torsion_growth •

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

  
  
  • id: 702836
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 2]}
  • id: 702837
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [4]}
  • id: 702838
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [4]}
  • id: 702839
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '13650.bs2', 'torsion': [6]}
  • id: 702840
    {'degree': 4, 'field': [4, 0, -11, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 4]}
  • id: 702841
    {'degree': 4, 'field': [4, 0, 11, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 6]}
  • id: 702842
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [12]}
  • id: 702843
    {'degree': 4, 'field': [114, 6, -5, -2, 1], 'lmfdb_label': '13650.bs2', 'torsion': [12]}
  • id: 702844
    {'degree': 6, 'field': [524, -192, 63, -37, 0, -3, 1], 'lmfdb_label': '13650.bs2', 'torsion': [6]}
  • id: 702846
    {'degree': 8, 'field': [49, 392, -361, -1186, 472, 124, -49, -2, 1], 'lmfdb_label': '13650.bs2', 'torsion': [8]}
  • id: 702848
    {'degree': 8, 'field': [904, 288, -218, -134, 53, 14, 0, -4, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 12]}
  • id: 702845
    {'degree': 8, 'field': [175996, -8432, 7616, 1624, -791, -28, 14, -4, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 12]}
  • id: 702847
    {'degree': 8, 'field': [4923961, 0, 299488, 0, 7574, 0, 112, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [8]}
  • id: 702850
    {'degree': 12, 'field': [441, 0, 0, 0, 0, 0, -378, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 6]}
  • id: 702851
    {'degree': 12, 'field': [220900, -620400, 233460, -113440, 57741, -13692, 4019, -1302, 348, 16, -9, -6, 1], 'lmfdb_label': '13650.bs2', 'torsion': [12]}
  • id: 702849
    {'degree': 12, 'field': [274576, -100608, 3852, 26680, -3135, -3903, 1841, 186, -174, 74, 9, -3, 1], 'lmfdb_label': '13650.bs2', 'torsion': [3, 6]}
  • id: 702852
    {'degree': 12, 'field': [311284, 37428, -59526, 45350, -25545, 3408, -1093, -6, -30, 10, 9, -6, 1], 'lmfdb_label': '13650.bs2', 'torsion': [12]}
  • id: 702855
    {'degree': 16, 'field': [38416, 0, -795760, 0, 1728328, 0, -1327480, 0, 440113, 0, -65875, 0, 4408, 0, -115, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 8]}
  • id: 702856
    {'degree': 16, 'field': [1500340, 375700, -1318006, -19086, 503429, -13378, -108284, -11778, 43120, -15822, 3070, -1286, 584, -114, 14, -4, 1], 'lmfdb_label': '13650.bs2', 'torsion': [24]}
  • id: 702853
    {'degree': 16, 'field': [124233316, 0, 45160152, 0, 11105920, 0, 748692, 0, 27909, 0, 1008, 0, 490, 0, -12, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [4, 12]}
  • id: 702857
    {'degree': 16, 'field': [4892732621856, 980904249216, -908177967504, -142287533136, 63354789708, 9003699096, -2438414636, -464603528, 94172793, 14207696, -2401504, -234528, 34538, 2072, -276, -8, 1], 'lmfdb_label': '13650.bs2', 'torsion': [24]}
  • id: 702854
    {'degree': 16, 'field': [18736223903296, 0, 2483671107104, 0, 152125594292, 0, 5620998012, 0, 138771185, 0, 2395848, 0, 29162, 0, 236, 0, 1], 'lmfdb_label': '13650.bs2', 'torsion': [2, 8]}
  • id: 702858
    {'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.bs2', '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: 298345
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '13650.bs2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 298346
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13650.bs2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 298347
    {'conductor': 13650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '13650.bs2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 298348
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '13650.bs2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 298349
    {'conductor': 13650, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '13650.bs2', 'prime': 13, 'reduction_type': -1, '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: 1754660
    {'adelic_gens': [[3201, 5008, 10916, 2189], [2168, 10917, 2643, 86], [1, 12, 12, 145], [4201, 24, 6732, 289], [15, 106, 9614, 1691], [8191, 24, 8190, 1], [10897, 24, 10896, 25], [1, 24, 0, 1], [4696, 3, 1101, 10834], [7296, 9113, 6191, 594], [1, 0, 24, 1]], 'adelic_image': '10920.384.5.?', 'conductor': 13650, 'lmfdb_label': '13650.bs2', 'prime': 0}
  • id: 64677
    {'conductor': 13650, 'elladic_image': '4.6.0.1', 'lmfdb_label': '13650.bs2', 'modell_image': '2B', 'prime': 2}
  • id: 64678
    {'conductor': 13650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '13650.bs2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 13650.bs does not appear in ec_padic