Elliptic curve data - 24843.h2

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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': '24843s', 'Clabel': '24843s3', 'Cnumber': 3, 'abc_quality': 0.9608618677341092, 'absD': 48656741122629003, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [1, 0, 0, -161652, -22666827], 'analytic_rank': 1, 'bad_primes': [3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 24843, 'degree': 193536, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9370632911300375676306430753', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 4], 'jinv': [822656953, 85683], 'lmfdb_iso': '24843.h', 'lmfdb_label': '24843.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19, 22], 'min_quad_twist_disc': -91, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '56.12.0-4.c.1.5', '104.12.0.?', '168.24.0.?', '312.24.0.?', '364.12.0.?', '728.24.0.?', '1092.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '8.8903836649813763281970866765', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 8281], [7, 26, 507], [13, 98, 147]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31836646212838745294877701720', 'prec': 107}, 'szpiro_ratio': 4.702732101054163, '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, 2, -1, 0, 3, 1, -2, -4, -1, 0, 0, 2, -1, -2, -1, 0, -2], 'aplist': [-1, 1, 2, 0, -4, 0, -2, 0, 0, -10, 4, 2, 6, -12, 0, 6, 12, 2, 8, 0, 2, 8, 4, -2, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 24843, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '24843.h', 'trace_hash': 381435640616204322}
• 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': '0.020772472999196310355561312519', 'prec': 107}, 'conductor': 24843, 'gens': [[-6556, 179743, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '8.8903836649813763281970866765', 'prec': 100}], 'lmfdb_label': '24843.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23969961924766847464927438143', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2620431589234546186344474033041203715', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-1153, 1153, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [2, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': 'a', '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '24843.h2'}
• ec_torsion_growth •

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

  
  
  • id: 1251037
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [2, 2]}
  • id: 1251039
    {'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '24843.h2', 'torsion': [4]}
  • id: 1251038
    {'degree': 2, 'field': [273, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [4]}
  • id: 1251040
    {'degree': 4, 'field': [673, -40, 41, -2, 1], 'lmfdb_label': '24843.h2', 'torsion': [2, 4]}
  • id: 1251044
    {'degree': 8, 'field': [-2301, -3900, -195, 1027, 26, -65, 4, -4, 1], 'lmfdb_label': '24843.h2', 'torsion': [6]}
  • id: 1251043
    {'degree': 8, 'field': [233, -62, 92, -58, 25, 2, 4, -4, 1], 'lmfdb_label': '24843.h2', 'torsion': [8]}
  • id: 1251042
    {'degree': 8, 'field': [11664, 0, -2592, 0, 633, 0, -24, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [8]}
  • id: 1251041
    {'degree': 8, 'field': [230542, 18252, -46270, -528, 3171, -12, -94, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [2, 4]}
  • id: 1251048
    {'degree': 16, 'field': [-38010999, 54369978, -15136326, 7712502, -8024871, -1242450, 2706061, -332996, -82836, -18126, -4590, 1980, 519, -120, 18, -8, 1], 'lmfdb_label': '24843.h2', 'torsion': [2, 6]}
  • id: 1251047
    {'degree': 16, 'field': [115677, 152172, 245412, 210384, 176182, 95100, 47196, 14928, 5295, 2196, 1772, 888, 198, -48, -24, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [2, 8]}
  • id: 1251046
    {'degree': 16, 'field': [331153, 793332, 985318, -42912, -746348, -238392, 248458, 194040, 42841, -13896, -6314, 1872, 952, -36, -44, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [2, 8]}
  • id: 1251050
    {'degree': 16, 'field': [2082249, 0, 3602898, 0, 2382615, 0, 782995, 0, 139937, 0, 15022, 0, 1111, 0, 41, 0, 1], 'lmfdb_label': '24843.h2', 'torsion': [12]}
  • id: 1251049
    {'degree': 16, 'field': [170117229, -42812646, -25102571, 5452552, 14510380, -4045152, -794181, 610500, 41425, -50258, 11902, -78, -360, 12, 34, -8, 1], 'lmfdb_label': '24843.h2', 'torsion': [12]}
  • id: 1251045
    {'degree': 16, 'field': [79128727444, 5306397096, -26428726548, -1033995576, 3956930470, 80401584, -341947782, -2832936, 18585153, 31380, -649818, 528, 14272, -12, -180, 0, 1], 'lmfdb_label': '24843.h2', '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: 569821
    {'conductor': 24843, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24843.h2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 569822
    {'conductor': 24843, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '24843.h2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 569823
    {'conductor': 24843, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '24843.h2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1829792
    {'adelic_gens': [[2177, 8, 2176, 9], [1, 0, 8, 1], [1912, 203, 1603, 1632], [1, 8, 0, 1], [1, 4, 4, 17], [167, 616, 980, 279], [43, 42, 2002, 1219], [736, 315, 1981, 1562], [7, 6, 2178, 2179], [935, 0, 0, 2183]], 'adelic_image': '2184.48.0.?', 'conductor': 24843, 'lmfdb_label': '24843.h2', 'prime': 0}
  • id: 113318
    {'conductor': 24843, 'elladic_image': '4.6.0.1', 'lmfdb_label': '24843.h2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1180582
    {'lmfdb_iso': '24843.h', 'p': 5, 'prec': 20, 'unit': 9369815974496, 'val': 1}
  • id: 1180568
    {'lmfdb_iso': '24843.h', 'p': 11, 'prec': 20, 'unit': 25633097047308881954, 'val': 1}
  • id: 1180575
    {'lmfdb_iso': '24843.h', 'p': 17, 'prec': 20, 'unit': 10686657665983795898834, 'val': 1}
  • id: 1180573
    {'lmfdb_iso': '24843.h', 'p': 29, 'prec': 20, 'unit': 1828332313544138219144557086, 'val': 1}
  • id: 1180570
    {'lmfdb_iso': '24843.h', 'p': 31, 'prec': 20, 'unit': 18027093991795677145423595650, 'val': 1}
  • id: 1180569
    {'lmfdb_iso': '24843.h', 'p': 37, 'prec': 20, 'unit': 346067183348562004303980676406, 'val': 1}
  • id: 1180571
    {'lmfdb_iso': '24843.h', 'p': 41, 'prec': 20, 'unit': 288952164351952312811667069212, 'val': 1}
  • id: 1180572
    {'lmfdb_iso': '24843.h', 'p': 43, 'prec': 20, 'unit': 3153129100701094573061537924109, 'val': 1}
  • id: 1180577
    {'lmfdb_iso': '24843.h', 'p': 53, 'prec': 20, 'unit': 371169859134039610113330410740227, 'val': 1}
  • id: 1180580
    {'lmfdb_iso': '24843.h', 'p': 59, 'prec': 20, 'unit': 2634082897483319972218796729007312, 'val': 1}
  • id: 1180581
    {'lmfdb_iso': '24843.h', 'p': 61, 'prec': 20, 'unit': 5256330352763641094804258899380931, 'val': 1}
  • id: 1180567
    {'lmfdb_iso': '24843.h', 'p': 67, 'prec': 20, 'unit': 30872728227007161764396189015297129, 'val': 1}
  • id: 1180578
    {'lmfdb_iso': '24843.h', 'p': 73, 'prec': 20, 'unit': 159707889200920690736454475577087140, 'val': 1}
  • id: 1180574
    {'lmfdb_iso': '24843.h', 'p': 79, 'prec': 20, 'unit': 1120020816946130041084156706884521278, 'val': 1}
  • id: 1180576
    {'lmfdb_iso': '24843.h', 'p': 83, 'prec': 20, 'unit': 531820791997040738413644515602109478, 'val': 1}
  • id: 1180579
    {'lmfdb_iso': '24843.h', 'p': 89, 'prec': 20, 'unit': 9422459620050262553395977040501345204, 'val': 1}
  • id: 1180566
    {'lmfdb_iso': '24843.h', 'p': 97, 'prec': 20, 'unit': 35827379361738937493952945489351394111, 'val': 1}