Elliptic curve data - 8820.g1

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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': '8820j', 'Clabel': '8820j3', 'Cnumber': 3, 'abc_quality': 1.073761143790618, 'absD': 171532242000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [0, 0, 0, -18228, -947023], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 8820, 'degree': 12960, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1416172676802463727738955281', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [488095744, 125], 'lmfdb_iso': '8820.g', 'lmfdb_label': '8820.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -41, -116], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '10.6.0.a.1', '12.24.0.f.1', '20.24.0.e.1', '21.8.0-3.a.1.1', '24.48.0.bq.2', '30.24.0.a.1', '42.24.0-6.a.1.3', '60.96.3.bk.1', '84.48.0.?', '120.192.9.?', '168.96.0.?', '210.48.0.?', '420.192.3.?', '840.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.61169301136811356194881416924', 'prec': 107}, 'szpiro_ratio': 4.518079510006395, '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, -1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -1, 0, 0, -2, -6, 4, -6, -6, 4, 2, 6, -10, -6, 6, 12, -2, 2, 12, -2, 8, 6, -6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 8820, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '8820.g', 'trace_hash': 1819493886664733365}
• 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': '0.10195389931555762182805466977', 'prec': 103}, 'conductor': 8820, 'gens': [], 'heights': [], 'lmfdb_label': '8820.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.41088612314219952995529269195', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2326583694265985898658780758638770390', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-77, 0, 1]], 'xcoord_integral_points': [-77]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': 'a'}, 'iwp0': 5, 'lmfdb_label': '8820.g1'}
• ec_torsion_growth •

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

  
  
  • id: 460058
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 2]}
  • id: 460059
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '8820.g1', 'torsion': [6]}
  • id: 460061
    {'degree': 4, 'field': [4, 2, 5, -1, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 6]}
  • id: 460060
    {'degree': 4, 'field': [562, 20, -40, -2, 1], 'lmfdb_label': '8820.g1', 'torsion': [4]}
  • id: 460062
    {'degree': 6, 'field': [-3, -9, -6, -9, 12, -3, 1], 'lmfdb_label': '8820.g1', 'torsion': [6]}
  • id: 460065
    {'degree': 8, 'field': [18, -72, 60, -18, 103, -6, 20, 0, 1], 'lmfdb_label': '8820.g1', 'torsion': [12]}
  • id: 460064
    {'degree': 8, 'field': [7921, 5518, 1922, -798, 278, 42, 2, -2, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 4]}
  • id: 460063
    {'degree': 8, 'field': [41521, 48546, 18084, -1768, -941, -36, -44, -2, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 4]}
  • id: 460067
    {'degree': 12, 'field': [-20, -420, -1464, -832, -234, 1536, -361, -132, 21, -20, 9, 0, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 6]}
  • id: 460066
    {'degree': 12, 'field': [43, -24, -33, 76, -48, 48, 131, -12, 84, -4, 15, 0, 1], 'lmfdb_label': '8820.g1', 'torsion': [3, 6]}
  • id: 460071
    {'degree': 16, 'field': [676, -1872, 1064, -2432, 11910, 168, 4152, -4082, 969, -1446, 598, -282, 164, -50, 22, -4, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 12]}
  • id: 460070
    {'degree': 16, 'field': [23116, 48288, 69704, 92928, 79726, 67856, 45092, 20814, 13497, 922, 2198, -778, 236, -106, 26, -4, 1], 'lmfdb_label': '8820.g1', 'torsion': [2, 12]}
  • id: 460069
    {'degree': 16, 'field': [113252164, 0, -84814208, 0, 30619144, 0, -6510448, 0, 852840, 0, -68768, 0, 3316, 0, -88, 0, 1], 'lmfdb_label': '8820.g1', 'torsion': [8]}
  • id: 460068
    {'degree': 16, 'field': [294499921, -40465638, 2780082, 20363164, -5006612, 2338516, 429944, -262118, 103238, -5246, -1784, 1588, -567, 8, 8, -4, 1], 'lmfdb_label': '8820.g1', 'torsion': [4, 4]}
  • id: 460072
    {'degree': 18, 'field': [120709, -277659, 202464, -129002, 171675, -51381, 34692, -34179, 11868, -3885, 4272, -3039, 1398, -471, 165, -82, 36, -9, 1], 'lmfdb_label': '8820.g1', 'torsion': [18]}
• 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: 184346
    {'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '8820.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 184347
    {'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8820.g1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 184348
    {'conductor': 8820, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '8820.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 184349
    {'conductor': 8820, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8820.g1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1722286
    {'adelic_gens': [[1, 12, 12, 145], [21, 4, 740, 821], [7, 24, 492, 7], [599, 0, 0, 839], [817, 24, 816, 25], [1, 24, 0, 1], [225, 826, 14, 155], [232, 483, 357, 274], [421, 504, 672, 169], [1, 0, 24, 1], [559, 336, 560, 839]], 'adelic_image': '840.384.9.?', 'conductor': 8820, 'lmfdb_label': '8820.g1', 'prime': 0}
  • id: 43043
    {'conductor': 8820, 'elladic_image': '4.6.0.3', 'lmfdb_label': '8820.g1', 'modell_image': '2B', 'prime': 2}
  • id: 43044
    {'conductor': 8820, 'elladic_image': '3.4.0.1', 'lmfdb_label': '8820.g1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 8820.g does not appear in ec_padic