Elliptic curve data - 126400.e1

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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': '126400ba', 'Clabel': '126400ba1', 'Cnumber': 1, 'abc_quality': 0.8960566672900944, 'absD': 82837504000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 316, 'ainvs': [0, 0, 0, -13900, 454000], 'analytic_rank': 2, 'bad_primes': [2, 5, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 126400, 'degree': 663552, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3778622697402446770431203259', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [72511713, 20224], 'lmfdb_iso': '126400.e', 'lmfdb_label': '126400.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -9, 9], 'min_quad_twist_disc': 40, 'modell_images': [], 'modm_images': ['316.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.6365400945976200909898397318', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1975], [5, 14, 5056], [79, 80, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46657745731672347438310752290', 'prec': 107}, 'szpiro_ratio': 3.4248597313102973, '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, -3, 0, 0, 0, 3, 0, 6, 0, 2, 0, -5, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, -3, 0, 3, 2, -5, -6, 0, 2, -6, -10, -10, 2, 4, 3, -12, 1, -12, -8, -3, 6, 1, 14, -7, 11], 'class_deg': 1, 'class_size': 1, 'conductor': 126400, 'isogeny_matrix': [[1]], 'lmfdb_iso': '126400.e', 'trace_hash': 1083053446249674760}
• 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': '0.063562949114689636173774852082', 'prec': 107}, 'conductor': 126400, 'gens': [[14, 512, 1], [526, 11776, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2771541975467341773078416270', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.8569917106191082349702093534', 'prec': 100}], 'lmfdb_label': '126400.e1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.56631788182087970304677838592', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2377507341169028421735639607365716366', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-56, 14, 36, 141, 526]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 2, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [4, 0], '19': [2, 4, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0], '79': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '126400.e1'}
• ec_torsion_growth •

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

  
  
  • id: 5757409
    {'degree': 3, 'field': [2, -4, -1, 1], 'lmfdb_label': '126400.e1', 'torsion': [2]}
  • id: 5757410
    {'degree': 6, 'field': [8, -8, -34, 54, -17, -2, 1], 'lmfdb_label': '126400.e1', 'torsion': [2, 2]}
  • id: 5757411
    {'degree': 8, 'field': [-67500, 0, -128250, 0, 900, 0, 0, 0, 1], 'lmfdb_label': '126400.e1', 'torsion': [3]}
  • id: 5757412
    {'degree': 12, 'field': [-8707654, 13533520, -4646485, 817550, -36935, -65752, 5982, 1860, 780, -200, -9, -2, 1], 'lmfdb_label': '126400.e1', 'torsion': [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: 3115537
    {'conductor': 126400, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '126400.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3115538
    {'conductor': 126400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '126400.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3115539
    {'conductor': 126400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '126400.e1', 'prime': 79, '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

  
  {'adelic_gens': [[1, 1, 315, 0], [315, 2, 314, 3], [161, 2, 161, 3], [159, 2, 159, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '316.2.0.?', 'conductor': 126400, 'lmfdb_label': '126400.e1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 6623466
    {'lmfdb_iso': '126400.e', 'p': 7, 'prec': 20, 'unit': 9073286825142772, 'val': 2}
  • id: 6623464
    {'lmfdb_iso': '126400.e', 'p': 11, 'prec': 20, 'unit': 41728303874152418745, 'val': 2}
  • id: 6623470
    {'lmfdb_iso': '126400.e', 'p': 13, 'prec': 20, 'unit': 1190061838612702192084, 'val': 2}
  • id: 6623472
    {'lmfdb_iso': '126400.e', 'p': 17, 'prec': 20, 'unit': 233050976601450576676, 'val': 3}
  • id: 6623476
    {'lmfdb_iso': '126400.e', 'p': 23, 'prec': 20, 'unit': 70158363256460195323500293, 'val': 2}
  • id: 6623469
    {'lmfdb_iso': '126400.e', 'p': 29, 'prec': 20, 'unit': 1855485847608444894148434031, 'val': 2}
  • id: 6623481
    {'lmfdb_iso': '126400.e', 'p': 31, 'prec': 20, 'unit': 3407391013463669917458002777, 'val': 2}
  • id: 6623465
    {'lmfdb_iso': '126400.e', 'p': 37, 'prec': 20, 'unit': 461564871925967885151132206807, 'val': 2}
  • id: 6623467
    {'lmfdb_iso': '126400.e', 'p': 41, 'prec': 20, 'unit': 3263060752197376301438377956036, 'val': 2}
  • id: 6623468
    {'lmfdb_iso': '126400.e', 'p': 43, 'prec': 20, 'unit': 1760484932663555378162132426987, 'val': 2}
  • id: 6623471
    {'lmfdb_iso': '126400.e', 'p': 47, 'prec': 20, 'unit': 22079447908551721081433422477993, 'val': 2}
  • id: 6623474
    {'lmfdb_iso': '126400.e', 'p': 53, 'prec': 20, 'unit': 6928388530921570107723999224170, 'val': 2}
  • id: 6623479
    {'lmfdb_iso': '126400.e', 'p': 59, 'prec': 20, 'unit': 71621469949848559794778598294881, 'val': 0}
  • id: 6623480
    {'lmfdb_iso': '126400.e', 'p': 61, 'prec': 20, 'unit': 2555377394020977835132478941305748, 'val': 2}
  • id: 6623473
    {'lmfdb_iso': '126400.e', 'p': 67, 'prec': 20, 'unit': 31835009556843726273885985619900268, 'val': 2}
  • id: 6623478
    {'lmfdb_iso': '126400.e', 'p': 71, 'prec': 20, 'unit': 73831954025293186943880950162925730, 'val': 2}
  • id: 6623475
    {'lmfdb_iso': '126400.e', 'p': 73, 'prec': 20, 'unit': 109813579303930717273828053655493703, 'val': 2}
  • id: 6623463
    {'lmfdb_iso': '126400.e', 'p': 83, 'prec': 20, 'unit': 1379457122288391507166029058308966572, 'val': 2}
  • id: 6623477
    {'lmfdb_iso': '126400.e', 'p': 89, 'prec': 20, 'unit': 2478814437913006761115675137325229641, 'val': 2}
  • id: 6623462
    {'lmfdb_iso': '126400.e', 'p': 97, 'prec': 20, 'unit': 8432087171563548659205550616795642317, 'val': 2}