Elliptic curve data - 126400.l1

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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': '126400m', 'Clabel': '126400m2', 'Cnumber': 2, 'abc_quality': 0.9137809695802027, 'absD': 2045050880000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1580, 'ainvs': [0, 1, 0, -680033, 215608063], 'analytic_rank': 1, 'bad_primes': [2, 5, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 126400, 'degree': 1179648, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0001558411103253551100467725', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [8490912541201, 499280], 'lmfdb_iso': '126400.l', 'lmfdb_label': '126400.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -425, 3337], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '10.6.0.a.1', '316.6.0.?', '1580.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1254622773800988876733377517', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 5056], [79, 80, 1600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15571611405335720368381892370', 'prec': 103}, 'szpiro_ratio': 4.418351985857915, '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, -2, 0, 0, 0, 2, 0, 1, 0, 4, 0, 2, 0, 0, 0, 4, 0, 4, 0], 'aplist': [0, -2, 0, 2, 4, 2, 4, 4, 0, 6, -8, 8, -2, -10, -2, -12, 4, -2, 4, 0, -14, -1, 0, 6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 126400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '126400.l', 'trace_hash': 1341458595539511977}
• 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': '0.018309931119284038864735428750', 'prec': 107}, 'conductor': 126400, 'gens': [[12573, 1406900, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.1254622773800988876733377517', 'prec': 100}], 'lmfdb_label': '126400.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44053271447141982246166151982', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.2779984778359198686698184270865088753', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[473, 0, 1]], 'xcoord_integral_points': [473, 12573]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '79': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '126400.l1'}
• ec_torsion_growth •

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

  
  
  • id: 5757271
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '126400.l1', 'torsion': [2, 2]}
  • id: 5757272
    {'degree': 4, 'field': [80, 0, 2, 0, 1], 'lmfdb_label': '126400.l1', 'torsion': [4]}
  • id: 5757275
    {'degree': 8, 'field': [-1200, 0, 710, 0, -120, 0, 0, 0, 1], 'lmfdb_label': '126400.l1', 'torsion': [6]}
  • id: 5757273
    {'degree': 8, 'field': [121, 0, 52, 0, -101, 0, -2, 0, 1], 'lmfdb_label': '126400.l1', 'torsion': [2, 4]}
  • id: 5757274
    {'degree': 8, 'field': [7451, -1580, 1748, -336, 169, -4, 6, -4, 1], 'lmfdb_label': '126400.l1', 'torsion': [2, 4]}
  • id: 5757277
    {'degree': 16, 'field': [110441, 380668, 205810, -844200, -357470, 816584, -73028, -172040, 43125, 2380, -3028, 1496, -310, 0, 20, -8, 1], 'lmfdb_label': '126400.l1', 'torsion': [2, 6]}
  • id: 5757276
    {'degree': 16, 'field': [8288281600, 0, 2063040000, 0, 623250624, 0, 37068096, 0, 251649, 0, -13868, 0, 1186, 0, -44, 0, 1], 'lmfdb_label': '126400.l1', '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: 3115477
    {'conductor': 126400, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '126400.l1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3115478
    {'conductor': 126400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '126400.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3115479
    {'conductor': 126400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '126400.l1', 'prime': 79, '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: 2488275
    {'adelic_gens': [[1, 0, 4, 1], [634, 1, 1263, 0], [3, 4, 8, 11], [1, 2, 2, 5], [161, 4, 322, 9], [1, 4, 0, 1], [1577, 4, 1576, 5], [397, 1186, 1184, 395]], 'adelic_image': '1580.12.0.?', 'conductor': 126400, 'lmfdb_label': '126400.l1', 'prime': 0}
  • id: 493806
    {'conductor': 126400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '126400.l1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6623358
    {'lmfdb_iso': '126400.l', 'p': 7, 'prec': 20, 'unit': 9801872834509304, 'val': 1}
  • id: 6623356
    {'lmfdb_iso': '126400.l', 'p': 11, 'prec': 20, 'unit': 52591433409578878387, 'val': 1}
  • id: 6623362
    {'lmfdb_iso': '126400.l', 'p': 13, 'prec': 20, 'unit': 568327212443883021624, 'val': 1}
  • id: 6623364
    {'lmfdb_iso': '126400.l', 'p': 17, 'prec': 20, 'unit': 146248670388301710095165, 'val': 1}
  • id: 6623365
    {'lmfdb_iso': '126400.l', 'p': 19, 'prec': 20, 'unit': 1476959825526561411400174, 'val': 1}
  • id: 6623361
    {'lmfdb_iso': '126400.l', 'p': 29, 'prec': 20, 'unit': 3454427342741395133891998469, 'val': 1}
  • id: 6623371
    {'lmfdb_iso': '126400.l', 'p': 31, 'prec': 20, 'unit': 959575503185979360792315316, 'val': 1}
  • id: 6623357
    {'lmfdb_iso': '126400.l', 'p': 37, 'prec': 20, 'unit': 435840967306386876074038223549, 'val': 1}
  • id: 6623359
    {'lmfdb_iso': '126400.l', 'p': 41, 'prec': 20, 'unit': 484132852384122207439476906611, 'val': 1}
  • id: 6623360
    {'lmfdb_iso': '126400.l', 'p': 43, 'prec': 20, 'unit': 7951381832211006667181418917548, 'val': 1}
  • id: 6623363
    {'lmfdb_iso': '126400.l', 'p': 47, 'prec': 20, 'unit': 25214361270328104865414295912056, 'val': 1}
  • id: 6623366
    {'lmfdb_iso': '126400.l', 'p': 53, 'prec': 20, 'unit': 465282873328459972717563472267484, 'val': 1}
  • id: 6623369
    {'lmfdb_iso': '126400.l', 'p': 59, 'prec': 20, 'unit': 2076611852017693383618089181403513, 'val': 1}
  • id: 6623370
    {'lmfdb_iso': '126400.l', 'p': 61, 'prec': 20, 'unit': 7552359358851306233293748845675910, 'val': 1}
  • id: 6623355
    {'lmfdb_iso': '126400.l', 'p': 67, 'prec': 20, 'unit': 18420965565601629974935538514508640, 'val': 1}
  • id: 6623367
    {'lmfdb_iso': '126400.l', 'p': 73, 'prec': 20, 'unit': 236556008601747046866449319817529660, 'val': 1}
  • id: 6623368
    {'lmfdb_iso': '126400.l', 'p': 89, 'prec': 20, 'unit': 9230721949187975846652127751570253445, 'val': 1}
  • id: 6623354
    {'lmfdb_iso': '126400.l', 'p': 97, 'prec': 20, 'unit': 38838754195374439913883072362038138351, 'val': 1}