Elliptic curve data - 12600.a1

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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': '12600b', 'Clabel': '12600b1', 'Cnumber': 1, 'abc_quality': 0.8157560984175539, 'absD': 47250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 84, 'ainvs': [0, 0, 0, -150, 625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 12600, 'degree': 4096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20179748780379617835626714599', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [55296, 7], 'lmfdb_iso': '12600.a', 'lmfdb_label': '12600.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -6, 5], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '28.6.0.d.1', '42.6.0.a.1', '84.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.56474879098074338225947780138', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1086236007669298682653345370', 'prec': 103}, 'szpiro_ratio': 2.8221833519589925, '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, 0, 0, -1, 0, 0, 0, -6, 0, 6, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 0, -1, -6, 6, -2, 4, 2, -8, 4, 6, -10, 4, -4, -4, 12, -2, -12, -6, 2, -8, 0, 14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 12600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '12600.a', 'trace_hash': 988782292163105468}
• 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': '0.66791458819264371657968772709', 'prec': 103}, 'conductor': 12600, 'gens': [[0, 25, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.56474879098074338225947780138', 'prec': 103}], 'lmfdb_label': '12600.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9422446019779764568098906842', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3875211630237494030038676109909142062', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[5, 0, 1]], 'xcoord_integral_points': [0, 5, 9, 20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '12600.a1'}
• ec_torsion_growth •

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

  
  
  • id: 649562
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '12600.a1', 'torsion': [2, 2]}
  • id: 649563
    {'degree': 4, 'field': [31, -4, 12, -1, 1], 'lmfdb_label': '12600.a1', 'torsion': [4]}
  • id: 649566
    {'degree': 8, 'field': [-311, -716, -584, -256, -52, -22, 16, -2, 1], 'lmfdb_label': '12600.a1', 'torsion': [6]}
  • id: 649565
    {'degree': 8, 'field': [1, 0, 100, 0, -18, 0, -5, 0, 1], 'lmfdb_label': '12600.a1', 'torsion': [2, 4]}
  • id: 649564
    {'degree': 8, 'field': [1369, 0, -7808, 0, -282, 0, 16, 0, 1], 'lmfdb_label': '12600.a1', 'torsion': [2, 4]}
  • id: 649568
    {'degree': 16, 'field': [-143489, -607514, 356646, -171250, 157202, 45228, -119544, 84024, -9528, -21530, 7774, 594, -450, -24, 24, -8, 1], 'lmfdb_label': '12600.a1', 'torsion': [2, 6]}
  • id: 649567
    {'degree': 16, 'field': [679, 1648, 76, -3366, 1491, 340, -660, 978, -434, -464, 502, -10, -150, 42, 14, -8, 1], 'lmfdb_label': '12600.a1', 'torsion': [8]}
• 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: 272658
    {'conductor': 12600, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '12600.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 272659
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '12600.a1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 272660
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12600.a1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 272661
    {'conductor': 12600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12600.a1', 'prime': 7, '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: 1747499
    {'adelic_gens': [[1, 2, 2, 5], [62, 1, 11, 0], [81, 4, 80, 5], [3, 4, 8, 11], [32, 1, 55, 0], [1, 4, 0, 1], [65, 22, 20, 63], [1, 0, 4, 1]], 'adelic_image': '84.12.0.?', 'conductor': 12600, 'lmfdb_label': '12600.a1', 'prime': 0}
  • id: 59903
    {'conductor': 12600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '12600.a1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 551633
    {'lmfdb_iso': '12600.a', 'p': 11, 'prec': 20, 'unit': 55078677851446821040, 'val': 1}
  • id: 551639
    {'lmfdb_iso': '12600.a', 'p': 13, 'prec': 20, 'unit': 952656487021145819942, 'val': 1}
  • id: 551641
    {'lmfdb_iso': '12600.a', 'p': 17, 'prec': 20, 'unit': 107051718206340590226960, 'val': 1}
  • id: 551642
    {'lmfdb_iso': '12600.a', 'p': 19, 'prec': 20, 'unit': 886064238608572282484215, 'val': 1}
  • id: 551646
    {'lmfdb_iso': '12600.a', 'p': 23, 'prec': 20, 'unit': 71465886832074087748066452, 'val': 1}
  • id: 551638
    {'lmfdb_iso': '12600.a', 'p': 29, 'prec': 20, 'unit': 1387169179502381012820436709, 'val': 1}
  • id: 551650
    {'lmfdb_iso': '12600.a', 'p': 31, 'prec': 20, 'unit': 5769532314115162107737218131, 'val': 1}
  • id: 551634
    {'lmfdb_iso': '12600.a', 'p': 37, 'prec': 20, 'unit': 198087399518584603420413581172, 'val': 1}
  • id: 551636
    {'lmfdb_iso': '12600.a', 'p': 41, 'prec': 20, 'unit': 1340154742180371898440034740013, 'val': 1}
  • id: 551637
    {'lmfdb_iso': '12600.a', 'p': 43, 'prec': 20, 'unit': 1767483021112891171329979533275, 'val': 1}
  • id: 551648
    {'lmfdb_iso': '12600.a', 'p': 47, 'prec': 20, 'unit': 5536844018587461078028882059501, 'val': 1}
  • id: 551643
    {'lmfdb_iso': '12600.a', 'p': 53, 'prec': 20, 'unit': 344110484810921338996263515148592, 'val': 1}
  • id: 551644
    {'lmfdb_iso': '12600.a', 'p': 59, 'prec': 20, 'unit': 3989825772555267080611665518572947, 'val': 1}
  • id: 551649
    {'lmfdb_iso': '12600.a', 'p': 61, 'prec': 20, 'unit': 4649637549854237847346349228568866, 'val': 1}
  • id: 551632
    {'lmfdb_iso': '12600.a', 'p': 67, 'prec': 20, 'unit': 28379104076307214037408208477552472, 'val': 1}
  • id: 551635
    {'lmfdb_iso': '12600.a', 'p': 71, 'prec': 20, 'unit': 89551795940193134471517053229459074, 'val': 1}
  • id: 551645
    {'lmfdb_iso': '12600.a', 'p': 73, 'prec': 20, 'unit': 81459006335114452159954841252941738, 'val': 1}
  • id: 551640
    {'lmfdb_iso': '12600.a', 'p': 79, 'prec': 20, 'unit': 1060511647751371472574122075625826195, 'val': 1}
  • id: 551647
    {'lmfdb_iso': '12600.a', 'p': 89, 'prec': 20, 'unit': 4279481942777409524871714123624436208, 'val': 1}
  • id: 551631
    {'lmfdb_iso': '12600.a', 'p': 97, 'prec': 20, 'unit': 17168233906468701439718640961363810144, 'val': 1}