Elliptic curve data - 9792.z1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9792u', 'Clabel': '9792u1', 'Cnumber': 1, 'abc_quality': 0.7744619258696578, 'absD': 50761728, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 136, 'ainvs': [0, 0, 0, -180, -864], 'analytic_rank': 1, 'bad_primes': [2, 3, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 9792, 'degree': 2048, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.22240322340738054793344418857', 'prec': 97}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2], 'jinv': [216000, 17], 'lmfdb_iso': '9792.z', 'lmfdb_label': '9792.z1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -5, 4], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '34.6.0.a.1', '136.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4896014523674086598653003685', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 2, 153], [3, 6, 1088], [17, 18, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0200501014866196071814105513', 'prec': 97}, 'szpiro_ratio': 2.959138501237704, '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, -2, 0, 0, 0, -4, 0, -2, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, 0, 0, -2, -4, -2, 1, 4, 6, 8, 2, -4, 2, -4, 12, -6, -4, -4, 4, -6, -6, 10, 12, 10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 9792, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '9792.z', 'trace_hash': 1986968247584538225}
• 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': '0.64094832161644494873290311714', 'prec': 97}, 'conductor': 9792, 'gens': [[-8, 8, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4896014523674086598653003685', 'prec': 97}], 'lmfdb_label': '9792.z1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3099141704195486303488130907', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9025001014672177976892325806578361633', 'prec': 127}, 'tamagawa_product': 8, 'torsion_generators': [[-6, 0, 1]], 'xcoord_integral_points': [-8, -6, 30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 1, 0], '7': [1, 0], '11': [1, 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': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '9792.z1'}
• ec_torsion_growth •

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

  
  
  • id: 508458
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '9792.z1', 'torsion': [2, 2]}
  • id: 508459
    {'degree': 4, 'field': [34, -12, 10, 0, 1], 'lmfdb_label': '9792.z1', 'torsion': [4]}
  • id: 508462
    {'degree': 8, 'field': [-75, 0, 228, 0, 6, 0, -12, 0, 1], 'lmfdb_label': '9792.z1', 'torsion': [6]}
  • id: 508460
    {'degree': 8, 'field': [289, 0, 306, 0, 98, 0, 18, 0, 1], 'lmfdb_label': '9792.z1', 'torsion': [2, 4]}
  • id: 508461
    {'degree': 8, 'field': [1852, 1104, -2066, -40, 578, -116, -15, -2, 1], 'lmfdb_label': '9792.z1', 'torsion': [2, 4]}
  • id: 508463
    {'degree': 16, 'field': [7744, 0, -38144, 0, 63488, 0, -37760, 0, 8368, 0, -352, 0, 224, 0, -16, 0, 1], 'lmfdb_label': '9792.z1', 'torsion': [8]}
  • id: 508464
    {'degree': 16, 'field': [2022084, 0, -462672, 0, -776736, 0, -107784, 0, 8100, 0, -504, 0, -84, 0, -12, 0, 1], 'lmfdb_label': '9792.z1', '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: 206485
    {'conductor': 9792, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '9792.z1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 206486
    {'conductor': 9792, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '9792.z1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 206487
    {'conductor': 9792, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9792.z1', '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: 1728739
    {'adelic_gens': [[1, 2, 2, 5], [89, 52, 16, 119], [3, 4, 8, 11], [133, 4, 132, 5], [1, 4, 0, 1], [74, 1, 31, 0], [69, 4, 2, 9], [1, 0, 4, 1]], 'adelic_image': '136.12.0.?', 'conductor': 9792, 'lmfdb_label': '9792.z1', 'prime': 0}
  • id: 47426
    {'conductor': 9792, 'elladic_image': '8.6.0.4', 'lmfdb_label': '9792.z1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 410999
    {'lmfdb_iso': '9792.z', 'p': 7, 'prec': 20, 'unit': 64846363740413, 'val': 1}
  • id: 410997
    {'lmfdb_iso': '9792.z', 'p': 11, 'prec': 20, 'unit': 60010427545740280937, 'val': 1}
  • id: 411003
    {'lmfdb_iso': '9792.z', 'p': 13, 'prec': 20, 'unit': 525244326485290956111, 'val': 1}
  • id: 411006
    {'lmfdb_iso': '9792.z', 'p': 19, 'prec': 20, 'unit': 1229373461625370074110425, 'val': 1}
  • id: 411009
    {'lmfdb_iso': '9792.z', 'p': 23, 'prec': 20, 'unit': 2030706986777719807275630, 'val': 1}
  • id: 411002
    {'lmfdb_iso': '9792.z', 'p': 29, 'prec': 20, 'unit': 6036527600824872695111458547, 'val': 1}
  • id: 411015
    {'lmfdb_iso': '9792.z', 'p': 31, 'prec': 20, 'unit': 5077488005435082341642217406, 'val': 1}
  • id: 410998
    {'lmfdb_iso': '9792.z', 'p': 37, 'prec': 20, 'unit': 372750232451979308267403267749, 'val': 1}
  • id: 411000
    {'lmfdb_iso': '9792.z', 'p': 41, 'prec': 20, 'unit': 1804156109552477610298779153159, 'val': 1}
  • id: 411001
    {'lmfdb_iso': '9792.z', 'p': 43, 'prec': 20, 'unit': 2389034945707479346761061796876, 'val': 1}
  • id: 411012
    {'lmfdb_iso': '9792.z', 'p': 47, 'prec': 20, 'unit': 394972831727307401020973188195, 'val': 2}
  • id: 411007
    {'lmfdb_iso': '9792.z', 'p': 53, 'prec': 20, 'unit': 569629636765686343438507469319341, 'val': 1}
  • id: 411005
    {'lmfdb_iso': '9792.z', 'p': 59, 'prec': 20, 'unit': 55774648234228132228721229724234, 'val': 2}
  • id: 411013
    {'lmfdb_iso': '9792.z', 'p': 61, 'prec': 20, 'unit': 789451436957905000048997290750552, 'val': 1}
  • id: 410996
    {'lmfdb_iso': '9792.z', 'p': 67, 'prec': 20, 'unit': 47601444457690433929330668105004106, 'val': 1}
  • id: 411011
    {'lmfdb_iso': '9792.z', 'p': 71, 'prec': 20, 'unit': 40520120332764471892125659900038739, 'val': 1}
  • id: 411008
    {'lmfdb_iso': '9792.z', 'p': 73, 'prec': 20, 'unit': 182453471938155093938020130820768203, 'val': 1}
  • id: 411004
    {'lmfdb_iso': '9792.z', 'p': 79, 'prec': 20, 'unit': 633596526471401897683358989983711095, 'val': 1}
  • id: 411014
    {'lmfdb_iso': '9792.z', 'p': 83, 'prec': 20, 'unit': 1609837423247249185596199324052451189, 'val': 1}
  • id: 411010
    {'lmfdb_iso': '9792.z', 'p': 89, 'prec': 20, 'unit': 7974670897297830909690983236443159420, 'val': 1}
  • id: 410995
    {'lmfdb_iso': '9792.z', 'p': 97, 'prec': 20, 'unit': 9683286084774203624231023107413997143, 'val': 1}