Elliptic curve data - 22848.bc5

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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': '22848bx', 'Clabel': '22848bx1', 'Cnumber': 1, 'abc_quality': 1.0214246831520672, 'absD': 14540720219942289408, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 272, 'ainvs': [0, -1, 0, -4495617, -3662779743], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 22848, 'degree': 737280, 'elladic_images': ['16.96.0.240'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5791289693230177625348071211', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [38331145780597164097, 55468445663232], 'lmfdb_iso': '22848.bc', 'lmfdb_label': '22848.bc5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -70244, 7127525], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.48.0-8.bb.1.5', '16.96.0-16.z.1.6', '34.6.0.a.1', '68.12.0.g.1', '136.96.0.?', '272.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '13.185419224610658826592214698', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 17], [3, 4, 7616], [7, 8, 3264], [17, 18, 1344]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5394081984830997984089589389', 'prec': 100}, 'szpiro_ratio': 5.735940008183864, '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, -1, 0, 2, 0, -1, 0, 1, 0, 4, 0, 2, 0, -2, 0, 1, 0, 4, 0], 'aplist': [0, -1, 2, -1, 4, 2, 1, 4, -8, -6, 0, 2, 10, -4, 0, -6, -4, -6, -12, 8, -6, 0, -12, -6, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 22848, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '22848.bc', 'trace_hash': 2208814723922731079}
• 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': '0.0057517107962352870179710374082', 'prec': 110}, 'conductor': 22848, 'gens': [[-7855497, 139776768, 79]], 'heights': [{'__RealLiteral__': 0, 'data': '13.185419224610658826592214698', 'prec': 100}], 'lmfdb_label': '22848.bc5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10369073732839037489256900137', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4688233655352500562819306674729790908', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1259, 0, 1]], 'xcoord_integral_points': [-1259]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '22848.bc5'}
• ec_torsion_growth •

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

  
  
  • id: 1158696
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 2]}
  • id: 1158698
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [8]}
  • id: 1158697
    {'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [4]}
  • id: 1158699
    {'degree': 4, 'field': [38, 4, -3, -2, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 8]}
  • id: 1158704
    {'degree': 8, 'field': [-15552, 0, -4824, 0, -432, 0, 0, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [6]}
  • id: 1158700
    {'degree': 8, 'field': [16, 0, -26, 0, -7, 0, -2, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 4]}
  • id: 1158701
    {'degree': 8, 'field': [16, 0, 32, 0, 41, 0, 8, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [8]}
  • id: 1158702
    {'degree': 8, 'field': [1024, 0, 2112, 0, 481, 0, 38, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [16]}
  • id: 1158703
    {'degree': 8, 'field': [8768, 24704, 20552, 4648, 554, -76, -53, -2, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 16]}
  • id: 1158705
    {'degree': 16, 'field': [324, -2160, 7200, -8232, 4936, -936, 1128, -1892, 1669, -772, 296, -196, 130, -76, 32, -8, 1], 'lmfdb_label': '22848.bc5', 'torsion': [4, 8]}
  • id: 1158707
    {'degree': 16, 'field': [4096, 0, 0, 0, 468496, 0, 0, 0, 24600, 0, 0, 0, 329, 0, 0, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 16]}
  • id: 1158711
    {'degree': 16, 'field': [10776, -41136, 33404, 21440, -27886, 26212, -16055, 1624, 6756, -7026, 3933, -1748, 625, -182, 46, -8, 1], 'lmfdb_label': '22848.bc5', 'torsion': [24]}
  • id: 1158708
    {'degree': 16, 'field': [103684, 0, -253556, 0, 319253, 0, 79260, 0, 6815, 0, 1044, 0, 143, 0, 4, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [16]}
  • id: 1158710
    {'degree': 16, 'field': [150994944, 0, 8865792, 0, -9135360, 0, 955168, 0, 258464, 0, 31432, 0, 2164, 0, 68, 0, 1], 'lmfdb_label': '22848.bc5', 'torsion': [12]}
  • id: 1158709
    {'degree': 16, 'field': [1908822976, -59113408, 72644072, -24757440, 6502640, 7398976, -3111824, 686688, -341543, 118344, -29204, 3560, -1018, 168, -4, -8, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 6]}
  • id: 1158706
    {'degree': 16, 'field': [22390077376, 23557461888, 6375768352, 934199616, -173657940, 30664040, -5112160, -4235628, -588257, -6336, -21332, -2820, -188, 56, 12, -8, 1], 'lmfdb_label': '22848.bc5', 'torsion': [2, 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: 522564
    {'conductor': 22848, 'conductor_valuation': 6, 'discriminant_valuation': 42, 'j_denominator_valuation': 24, 'kodaira_symbol': -36, 'lmfdb_label': '22848.bc5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 522565
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22848.bc5', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 522566
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '22848.bc5', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 522567
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.bc5', '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: 1816691
    {'adelic_gens': [[257, 16, 256, 17], [1, 16, 0, 1], [5, 4, 268, 269], [24, 1, 271, 10], [159, 256, 30, 161], [271, 256, 204, 203], [15, 2, 174, 259], [1, 0, 16, 1]], 'adelic_image': '272.192.1.?', 'conductor': 22848, 'lmfdb_label': '22848.bc5', 'prime': 0}
  • id: 105245
    {'conductor': 22848, 'elladic_image': '16.96.0.240', 'lmfdb_label': '22848.bc5', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1077717
    {'lmfdb_iso': '22848.bc', 'p': 5, 'prec': 20, 'unit': 3314765627564, 'val': 1}
  • id: 1077723
    {'lmfdb_iso': '22848.bc', 'p': 11, 'prec': 20, 'unit': 3277707365204493277, 'val': 2}
  • id: 1077721
    {'lmfdb_iso': '22848.bc', 'p': 13, 'prec': 20, 'unit': 1139486347431146990503, 'val': 1}
  • id: 1077724
    {'lmfdb_iso': '22848.bc', 'p': 19, 'prec': 20, 'unit': 963150869147869331303388, 'val': 1}
  • id: 1077727
    {'lmfdb_iso': '22848.bc', 'p': 23, 'prec': 20, 'unit': 25690734178432935384870877, 'val': 1}
  • id: 1077722
    {'lmfdb_iso': '22848.bc', 'p': 29, 'prec': 20, 'unit': 3072885755710135824680795171, 'val': 1}
  • id: 1077731
    {'lmfdb_iso': '22848.bc', 'p': 37, 'prec': 20, 'unit': 594997894599526265592040493083, 'val': 1}
  • id: 1077719
    {'lmfdb_iso': '22848.bc', 'p': 41, 'prec': 20, 'unit': 3751119244102722935096681607406, 'val': 1}
  • id: 1077720
    {'lmfdb_iso': '22848.bc', 'p': 43, 'prec': 20, 'unit': 8505659751406849956672381475197, 'val': 1}
  • id: 1077725
    {'lmfdb_iso': '22848.bc', 'p': 53, 'prec': 20, 'unit': 410081398710698506009132508568839, 'val': 1}
  • id: 1077729
    {'lmfdb_iso': '22848.bc', 'p': 59, 'prec': 20, 'unit': 17890395390237379115057331343427, 'val': 1}
  • id: 1077730
    {'lmfdb_iso': '22848.bc', 'p': 61, 'prec': 20, 'unit': 7651095789013430858928604585242030, 'val': 1}
  • id: 1077716
    {'lmfdb_iso': '22848.bc', 'p': 67, 'prec': 20, 'unit': 29982179225255293828459068920890049, 'val': 1}
  • id: 1077718
    {'lmfdb_iso': '22848.bc', 'p': 71, 'prec': 20, 'unit': 113632117009824913773726314471832163, 'val': 1}
  • id: 1077726
    {'lmfdb_iso': '22848.bc', 'p': 73, 'prec': 20, 'unit': 47603898492424483599665150242455277, 'val': 1}
  • id: 1077715
    {'lmfdb_iso': '22848.bc', 'p': 83, 'prec': 20, 'unit': 702137229489159099166126328573920426, 'val': 1}
  • id: 1077728
    {'lmfdb_iso': '22848.bc', 'p': 89, 'prec': 20, 'unit': 4347024934062506148634179041138661212, 'val': 1}
  • id: 1077714
    {'lmfdb_iso': '22848.bc', 'p': 97, 'prec': 20, 'unit': 27416653757617104923952817101037632929, 'val': 1}