Elliptic curve data - 105222.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': '105222k', 'Clabel': '105222k2', 'Cnumber': 2, 'abc_quality': 1.0247801371035123, 'absD': 520483235310766404806064, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 736554, 'ainvs': [1, 0, 0, -11682947706, -486046291388268], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 19, 71], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 105222, 'degree': 87588480, 'elladic_images': ['7.48.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2047194845509181386167252398', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 11, 'isogeny_degrees': [1, 7], 'jinv': [-176352252185278046480312672913502369, 520483235310766404806064], 'lmfdb_iso': '105222.l', 'lmfdb_label': '105222.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -11682947706, -486046291388268], 'min_quad_twist_disc': 1, 'modell_images': ['7B.1.3'], 'modm_images': ['7.48.0-7.a.2.2', '105222.2.0.?', '736554.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '59.031341165585541501633694112', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 52611], [3, 4, 35074], [7, 2, 114], [13, 14, 8094], [19, 20, 5538], [71, 72, 1482]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.2047194845509181386167252398', 'prec': 100}, 'szpiro_ratio': 7.0182463564071265, '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, 1, 1, 1, -1, 1, 1, 1, 1, -1, -2, 1, -1, 1, -1, 1, -3, 1, 1, -1], 'aplist': [1, 1, -1, 1, -2, -1, -3, 1, 3, -5, 4, 3, -7, -12, 6, 12, 4, 6, -2, 1, 4, 10, 7, 6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 105222, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '105222.l', 'trace_hash': 464263634671160083}
• 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': '0.00022275479419103221835347340430', 'prec': 113}, 'conductor': 105222, 'gens': [[70033318448599980604531934, 584322049528247216641612560504210040672, 6783777665]], 'heights': [{'__RealLiteral__': 0, 'data': '59.031341165585541501633694112', 'prec': 100}], 'lmfdb_label': '105222.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.0072607494521914176963087158749', 'prec': 110}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.001129784844197341485129872927572110', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [15, 0], '3': [2, 0], '5': [1, 0], '7': [51, 1], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '71': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '105222.l1'}
• ec_torsion_growth •

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

  
  
  • id: 4865023
    {'degree': 3, 'field': [-81, 42, 0, 1], 'lmfdb_label': '105222.l1', 'torsion': [2]}
  • id: 4865025
    {'degree': 6, 'field': [1, -1, 1, -1, 1, -1, 1], 'lmfdb_label': '105222.l1', 'torsion': [7]}
  • id: 4865024
    {'degree': 6, 'field': [328821, -131718, 17182, 130, -126, -2, 1], 'lmfdb_label': '105222.l1', 'torsion': [2, 2]}
  • id: 4865026
    {'degree': 7, 'field': [-3078, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '105222.l1', 'torsion': [7]}
  • id: 4865027
    {'degree': 8, 'field': [-9078, -6888, 6528, 719, -356, -7, 7, -4, 1], 'lmfdb_label': '105222.l1', 'torsion': [3]}
  • id: 4865028
    {'degree': 12, 'field': [2208962678718, 795254821662, 139035018105, 15323193144, 861239681, 4759904, 3874786, 1167196, 71968, -3982, -571, -4, 1], 'lmfdb_label': '105222.l1', 'torsion': [4]}
  • id: 4865029
    {'degree': 18, 'field': [282429536481, -146444944842, 75934415844, -42860185209, 24031762020, -13398375564, 7476443937, 593376840, -142264836, -18534825, 2285010, 571536, -67527, 6804, 1764, -81, -42, 0, 1], 'lmfdb_label': '105222.l1', 'torsion': [14]}
  • id: 4865030
    {'degree': 21, 'field': [-63775611217224, 0, 0, 0, 0, 0, 0, 764796934104, 0, 0, 0, 0, 0, 0, -1407672, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '105222.l1', 'torsion': [14]}
• 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: 2585430
    {'conductor': 105222, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '105222.l1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2585431
    {'conductor': 105222, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '105222.l1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2585432
    {'conductor': 105222, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '105222.l1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2585433
    {'conductor': 105222, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '105222.l1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2585434
    {'conductor': 105222, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '105222.l1', 'prime': 71, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

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

  
  
  • id: 2354575
    {'adelic_gens': [[1, 14, 0, 1], [3, 631340, 736540, 210407], [560197, 14, 238609, 99], [620257, 14, 659029, 99], [245519, 14, 245525, 99], [736541, 14, 736540, 15], [1, 0, 14, 1], [566581, 14, 283297, 99], [8, 5, 91, 57]], 'adelic_image': '736554.96.2.?', 'conductor': 105222, 'lmfdb_label': '105222.l1', 'prime': 0}
  • id: 420145
    {'conductor': 105222, 'elladic_image': '7.48.0.5', 'lmfdb_label': '105222.l1', 'modell_image': '7B.1.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 5482046
    {'lmfdb_iso': '105222.l', 'p': 5, 'prec': 20, 'unit': 850557699727, 'val': 1}
  • id: 5482047
    {'lmfdb_iso': '105222.l', 'p': 7, 'prec': 20, 'unit': 49474556655151872, 'val': 0}
  • id: 5482045
    {'lmfdb_iso': '105222.l', 'p': 11, 'prec': 20, 'unit': 48183474879389144599, 'val': 1}
  • id: 5482053
    {'lmfdb_iso': '105222.l', 'p': 17, 'prec': 20, 'unit': 64334355452682529763772, 'val': 1}
  • id: 5482058
    {'lmfdb_iso': '105222.l', 'p': 23, 'prec': 20, 'unit': 32170891449312396604176083, 'val': 1}
  • id: 5482051
    {'lmfdb_iso': '105222.l', 'p': 29, 'prec': 20, 'unit': 1500520789417705321550642797, 'val': 1}
  • id: 5482048
    {'lmfdb_iso': '105222.l', 'p': 31, 'prec': 20, 'unit': 14126965926968540962792888678, 'val': 1}
  • id: 5482062
    {'lmfdb_iso': '105222.l', 'p': 37, 'prec': 20, 'unit': 53008328652578248066640989185, 'val': 1}
  • id: 5482049
    {'lmfdb_iso': '105222.l', 'p': 41, 'prec': 20, 'unit': 3498844103964084245787473285790, 'val': 1}
  • id: 5482050
    {'lmfdb_iso': '105222.l', 'p': 43, 'prec': 20, 'unit': 4903494605769891959337217148063, 'val': 1}
  • id: 5482060
    {'lmfdb_iso': '105222.l', 'p': 47, 'prec': 20, 'unit': 5347313199873080354732358527675, 'val': 1}
  • id: 5482055
    {'lmfdb_iso': '105222.l', 'p': 53, 'prec': 20, 'unit': 428183853594456451805687658338669, 'val': 1}
  • id: 5482056
    {'lmfdb_iso': '105222.l', 'p': 59, 'prec': 20, 'unit': 2104992446991416510391941058172223, 'val': 1}
  • id: 5482061
    {'lmfdb_iso': '105222.l', 'p': 61, 'prec': 20, 'unit': 860914368473360658132419592719503, 'val': 1}
  • id: 5482044
    {'lmfdb_iso': '105222.l', 'p': 67, 'prec': 20, 'unit': 40011554940745384646923615290538175, 'val': 1}
  • id: 5482057
    {'lmfdb_iso': '105222.l', 'p': 73, 'prec': 20, 'unit': 64158826712394748781696762961739116, 'val': 1}
  • id: 5482052
    {'lmfdb_iso': '105222.l', 'p': 79, 'prec': 20, 'unit': 388356821823299978919267037031661786, 'val': 1}
  • id: 5482054
    {'lmfdb_iso': '105222.l', 'p': 83, 'prec': 20, 'unit': 497923708436628215517774833491618245, 'val': 1}
  • id: 5482059
    {'lmfdb_iso': '105222.l', 'p': 89, 'prec': 20, 'unit': 9655342546378653254494226438639862990, 'val': 1}
  • id: 5482043
    {'lmfdb_iso': '105222.l', 'p': 97, 'prec': 20, 'unit': 24034371792337920629255830580802469733, 'val': 1}