Elliptic curve data - 91091.b1

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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': '91091s', 'Clabel': '91091s1', 'Cnumber': 1, 'abc_quality': 0.8981983978919795, 'absD': 31306732670213, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 154, 'ainvs': [0, 0, 1, -41405, 3231660], 'analytic_rank': 1, 'bad_primes': [7, 11, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 91091, 'degree': 331776, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4463849873165586948500219307', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [2336256000, 9317], 'lmfdb_iso': '91091.b', 'lmfdb_label': '91091.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -845, -9422], 'min_quad_twist_disc': -7, 'modell_images': [], 'modm_images': ['154.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.25392890902120622822129492940', 'prec': 103}, 'semistable': False, 'serre_invariants': [[3, 2, 8281], [7, 32, 1859], [11, 12, 8281], [13, 62, 539]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.38155320636494353638715025488', 'prec': 107}, 'szpiro_ratio': 3.8098549320623576, '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, -2, 0, 2, 0, 0, 0, 0, -3, 0, 1, 0, 0, 0, 0, -4, 2, 6, 7, 0], 'aplist': [-2, 0, 0, 0, 1, 0, 2, 7, 3, -8, 6, -7, 9, -4, 2, -9, 10, -5, -12, 7, 7, 6, 0, -12, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 91091, 'isogeny_matrix': [[1]], 'lmfdb_iso': '91091.b', 'trace_hash': 2131418237088162439}
• 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': '0.055422480927073090007279597534', 'prec': 107}, 'conductor': 91091, 'gens': [[273, 3503, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.25392890902120622822129492940', 'prec': 103}], 'lmfdb_label': '91091.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.66222476068555774710399408022', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0268441981388350833750986739289371460', 'prec': 130}, 'tamagawa_product': 18, 'torsion_generators': [], 'xcoord_integral_points': [126, 130, 273]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 7, 0], '3': [3, 3, 0], '5': [1, 1, 0], '7': 'a', '11': [2, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '91091.b1'}
• ec_torsion_growth •

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

  
  
  • id: 4253373
    {'degree': 3, 'field': [-26, -26, 0, 1], 'lmfdb_label': '91091.b1', 'torsion': [2]}
  • id: 4253374
    {'degree': 6, 'field': [1, -3, -20, 45, -20, -3, 1], 'lmfdb_label': '91091.b1', 'torsion': [2, 2]}
  • id: 4253375
    {'degree': 8, 'field': [-75, -405, 93, -117, 51, -12, 9, 0, 1], 'lmfdb_label': '91091.b1', 'torsion': [3]}
  • id: 4253376
    {'degree': 12, 'field': [77, 0, -17258, 0, -713, 0, 1668, 0, -265, 0, -34, 0, 1], 'lmfdb_label': '91091.b1', '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: 2227437
    {'conductor': 91091, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '91091.b1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2227438
    {'conductor': 91091, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '91091.b1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2227439
    {'conductor': 91091, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '91091.b1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• 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, 2, 0, 1], [1, 0, 2, 1], [45, 2, 45, 3], [153, 2, 152, 3], [57, 2, 57, 3], [1, 1, 153, 0]], 'adelic_image': '154.2.0.?', 'conductor': 91091, 'lmfdb_label': '91091.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4720470
    {'lmfdb_iso': '91091.b', 'p': 17, 'prec': 20, 'unit': 41221887974843698841783, 'val': 1}
  • id: 4720471
    {'lmfdb_iso': '91091.b', 'p': 19, 'prec': 20, 'unit': 817988932030691561454659, 'val': 1}
  • id: 4720475
    {'lmfdb_iso': '91091.b', 'p': 23, 'prec': 20, 'unit': 66391710979331979915613823, 'val': 1}
  • id: 4720468
    {'lmfdb_iso': '91091.b', 'p': 29, 'prec': 20, 'unit': 4135789458845586562179101262, 'val': 1}
  • id: 4720479
    {'lmfdb_iso': '91091.b', 'p': 31, 'prec': 20, 'unit': 1879282508326792065408027737, 'val': 1}
  • id: 4720464
    {'lmfdb_iso': '91091.b', 'p': 37, 'prec': 20, 'unit': 578131911035208939743764335109, 'val': 1}
  • id: 4720466
    {'lmfdb_iso': '91091.b', 'p': 41, 'prec': 20, 'unit': 106286873959085993127882066247, 'val': 1}
  • id: 4720467
    {'lmfdb_iso': '91091.b', 'p': 43, 'prec': 20, 'unit': 8402605344183126926421216846822, 'val': 1}
  • id: 4720477
    {'lmfdb_iso': '91091.b', 'p': 47, 'prec': 20, 'unit': 32378947437191106538311876951937, 'val': 1}
  • id: 4720472
    {'lmfdb_iso': '91091.b', 'p': 53, 'prec': 20, 'unit': 520334789108645661759213216266343, 'val': 1}
  • id: 4720473
    {'lmfdb_iso': '91091.b', 'p': 59, 'prec': 20, 'unit': 3337049912267355504416649446432791, 'val': 1}
  • id: 4720478
    {'lmfdb_iso': '91091.b', 'p': 61, 'prec': 20, 'unit': 4855237990227663292325941081455585, 'val': 1}
  • id: 4720463
    {'lmfdb_iso': '91091.b', 'p': 67, 'prec': 20, 'unit': 3660426794600512754805070245762780, 'val': 1}
  • id: 4720465
    {'lmfdb_iso': '91091.b', 'p': 71, 'prec': 20, 'unit': 12196140356376547080600308119494447, 'val': 1}
  • id: 4720474
    {'lmfdb_iso': '91091.b', 'p': 73, 'prec': 20, 'unit': 20246271552940020229778356375714233, 'val': 1}
  • id: 4720469
    {'lmfdb_iso': '91091.b', 'p': 79, 'prec': 20, 'unit': 68601667587549687846115465454646012, 'val': 1}
  • id: 4720476
    {'lmfdb_iso': '91091.b', 'p': 89, 'prec': 20, 'unit': 383126557083547214214667388143162538, 'val': 1}
  • id: 4720462
    {'lmfdb_iso': '91091.b', 'p': 97, 'prec': 20, 'unit': 34306227912991861567729370428054497253, 'val': 1}