Elliptic curve data - 84150.gi1

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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': '84150ga', 'Clabel': '84150ga2', 'Cnumber': 2, 'abc_quality': 1.0276955258886302, 'absD': 421749281250, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [1, -1, 1, -40955, -3179703], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 84150, 'degree': 196608, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2960133614152482741014670508', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 164, 'isogeny_degrees': [1, 2], 'jinv': [666940371553, 37026], 'lmfdb_iso': '84150.gi', 'lmfdb_label': '84150.gi1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -182, 930], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '132.6.0.?', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.1938781761227702100672300679', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.058011739135856758896535234274', 'prec': 110}, 'szpiro_ratio': 3.833589256126569, '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, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, -4, 2, 0, 1, 1, 0, 2, 0], 'aplist': [1, 0, 0, 2, 1, -4, 1, 2, 2, -2, -4, -6, -6, -2, 0, -12, 14, 6, 4, 2, 8, -2, -12, -6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 84150, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '84150.gi', 'trace_hash': 1015796287940040529}
• 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': '0.074868149229666023084083983622', 'prec': 107}, 'conductor': 84150, 'gens': [[2831, 140715, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.1938781761227702100672300679', 'prec': 100}], 'lmfdb_label': '84150.gi1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33560243036434900604235987200', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.259805668470440046105994214991553253', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-469, 465, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 1], '3': 'a', '5': 'a', '7': [3, 0], '11': [2, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [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': '84150.gi1'}
• ec_torsion_growth •

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

  
  
  • id: 3948362
    {'degree': 2, 'field': [-34, 0, 1], 'lmfdb_label': '84150.gi1', 'torsion': [2, 2]}
  • id: 3948363
    {'degree': 4, 'field': [850, 0, 155, 0, 1], 'lmfdb_label': '84150.gi1', 'torsion': [4]}
  • id: 3948366
    {'degree': 8, 'field': [-84256, 24560, -608, -4418, 1420, -22, 53, -1, 1], 'lmfdb_label': '84150.gi1', 'torsion': [6]}
  • id: 3948364
    {'degree': 8, 'field': [5992704, 0, 443904, 0, -578, 0, -272, 0, 1], 'lmfdb_label': '84150.gi1', 'torsion': [2, 4]}
  • id: 3948365
    {'degree': 8, 'field': [13554754, 1427828, 1029782, 157356, 18443, 684, 230, -4, 1], 'lmfdb_label': '84150.gi1', 'torsion': [2, 4]}
  • id: 3948367
    {'degree': 16, 'field': [346909839076, -151414607556, 25419558814, 13061939748, 1736377396, -3451399950, 1443310717, -151099074, -23091245, 10928988, -763514, -258972, 34564, 1782, -305, -6, 1], 'lmfdb_label': '84150.gi1', 'torsion': [8]}
  • id: 3948368
    {'degree': 16, 'field': [23329914403104, 3103604381376, -2981918205648, -290622395328, 88281072888, 1611856224, -2530477804, 205132048, 51344652, -922860, -1301200, -37944, 19803, 326, -165, -2, 1], 'lmfdb_label': '84150.gi1', 'torsion': [2, 6]}
• 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: 2050945
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '84150.gi1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2050946
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '84150.gi1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2050947
    {'conductor': 84150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '84150.gi1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2050948
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '84150.gi1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2050949
    {'conductor': 84150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '84150.gi1', 'prime': 17, '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: 2218286
    {'adelic_gens': [[1, 0, 4, 1], [409, 4, 818, 9], [2993, 4, 1498, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 2243, 0], [2114, 1, 3431, 0], [3929, 562, 560, 3927], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 84150, 'lmfdb_label': '84150.gi1', 'prime': 0}
  • id: 343997
    {'conductor': 84150, 'elladic_image': '2.3.0.1', 'lmfdb_label': '84150.gi1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4339267
    {'lmfdb_iso': '84150.gi', 'p': 7, 'prec': 20, 'unit': 498343353592176, 'val': 2}
  • id: 4339271
    {'lmfdb_iso': '84150.gi', 'p': 13, 'prec': 20, 'unit': 534014712918065397039, 'val': 1}
  • id: 4339263
    {'lmfdb_iso': '84150.gi', 'p': 19, 'prec': 20, 'unit': 1812433284825885759502011, 'val': 1}
  • id: 4339276
    {'lmfdb_iso': '84150.gi', 'p': 23, 'prec': 20, 'unit': 7143420833468849612119084, 'val': 1}
  • id: 4339270
    {'lmfdb_iso': '84150.gi', 'p': 29, 'prec': 20, 'unit': 3451722492595247283956275773, 'val': 1}
  • id: 4339281
    {'lmfdb_iso': '84150.gi', 'p': 31, 'prec': 20, 'unit': 18279244342078438298044532546, 'val': 1}
  • id: 4339266
    {'lmfdb_iso': '84150.gi', 'p': 37, 'prec': 20, 'unit': 460577288328603854263450614621, 'val': 1}
  • id: 4339268
    {'lmfdb_iso': '84150.gi', 'p': 41, 'prec': 20, 'unit': 2486985402762282529289638808311, 'val': 1}
  • id: 4339269
    {'lmfdb_iso': '84150.gi', 'p': 43, 'prec': 20, 'unit': 10541290319934365699712457568637, 'val': 1}
  • id: 4339274
    {'lmfdb_iso': '84150.gi', 'p': 53, 'prec': 20, 'unit': 172432937703449094818200086546681, 'val': 1}
  • id: 4339279
    {'lmfdb_iso': '84150.gi', 'p': 59, 'prec': 20, 'unit': 564045267324144821040038276237129, 'val': 1}
  • id: 4339280
    {'lmfdb_iso': '84150.gi', 'p': 61, 'prec': 20, 'unit': 5703350616575429943188872174901891, 'val': 1}
  • id: 4339265
    {'lmfdb_iso': '84150.gi', 'p': 67, 'prec': 20, 'unit': 48394012927358428257873502547603348, 'val': 1}
  • id: 4339278
    {'lmfdb_iso': '84150.gi', 'p': 71, 'prec': 20, 'unit': 128100483735297128654126188034755363, 'val': 1}
  • id: 4339275
    {'lmfdb_iso': '84150.gi', 'p': 73, 'prec': 20, 'unit': 3483893093703449397216752754911078, 'val': 1}
  • id: 4339272
    {'lmfdb_iso': '84150.gi', 'p': 79, 'prec': 20, 'unit': 403046835624364999762737605672631760, 'val': 1}
  • id: 4339273
    {'lmfdb_iso': '84150.gi', 'p': 83, 'prec': 20, 'unit': 1866268316079895591083274517533330635, 'val': 1}
  • id: 4339277
    {'lmfdb_iso': '84150.gi', 'p': 89, 'prec': 20, 'unit': 7253176555225622517847761854399683004, 'val': 1}
  • id: 4339264
    {'lmfdb_iso': '84150.gi', 'p': 97, 'prec': 20, 'unit': 17983172842001275538886381518331147208, 'val': 1}