Elliptic curve data - 22491.v1

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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': '22491j', 'Clabel': '22491j3', 'Cnumber': 3, 'abc_quality': 1.1232788169201537, 'absD': 847727856611811315960813, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 2142, 'ainvs': [0, 0, 1, -54071010, 146484869627], 'analytic_rank': 1, 'bad_primes': [3, 7, 17], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 22491, 'degree': 2146176, 'elladic_images': ['9.36.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3511981746753591159656194084', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 9, 'iso_nlabel': 21, 'isogeny_degrees': [1, 3, 9], 'jinv': [838870874148864000, 40675641638471], 'lmfdb_iso': '22491.v', 'lmfdb_label': '22491.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -1103490, -427069591], 'min_quad_twist_disc': -7, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.36.0.e.1', '21.8.0-3.a.1.2', '63.72.0-9.e.1.2', '102.8.0.?', '306.72.0.?', '714.16.0.?', '2142.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3753863785672446433608580622', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 4, 49], [7, 32, 459], [17, 18, 1323]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3711818355352685796339682362', 'prec': 100}, 'szpiro_ratio': 6.4895588862979725, '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, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 1, 0, -2, 0], 'aplist': [0, 0, 0, 0, 0, 4, 1, -2, 9, -9, -5, 2, 0, -1, 9, 0, -9, 1, 5, -9, 7, -10, 0, 9, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 22491, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '22491.v', 'trace_hash': 918460048911676601}
• 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': '0.0012279657391630853261153962336', 'prec': 110}, 'conductor': 22491, 'gens': [[-3815, 545198, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3753863785672446433608580622', 'prec': 100}], 'lmfdb_label': '22491.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.087959678596914309749329830225', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3552275769925550352203552297234063282', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [-3815]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 13, 0], '3': 'a', '5': [3, 1, 0], '7': 'a', '11': [1, 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, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '22491.v1'}
• ec_torsion_growth •

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

  
  
  • id: 1142074
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '22491.v1', 'torsion': [3]}
  • id: 1142075
    {'degree': 3, 'field': [-12, -24, 0, 1], 'lmfdb_label': '22491.v1', 'torsion': [2]}
  • id: 1142079
    {'degree': 6, 'field': [-5, -39, 18, 41, -18, -3, 1], 'lmfdb_label': '22491.v1', 'torsion': [6]}
  • id: 1142078
    {'degree': 6, 'field': [1, 30, 36, -5, -12, 0, 1], 'lmfdb_label': '22491.v1', 'torsion': [9]}
  • id: 1142077
    {'degree': 6, 'field': [32, -39, 9, -7, 9, -3, 1], 'lmfdb_label': '22491.v1', 'torsion': [3]}
  • id: 1142076
    {'degree': 6, 'field': [121, -495, 450, 89, -42, -3, 1], 'lmfdb_label': '22491.v1', 'torsion': [2, 2]}
  • id: 1142080
    {'degree': 12, 'field': [-179, 2670, -9828, 84370, -107949, 81876, -36696, 10236, -1497, 22, 12, -6, 1], 'lmfdb_label': '22491.v1', 'torsion': [4]}
  • id: 1142083
    {'degree': 12, 'field': [-17, 255, 837, -6758, 5289, 7299, -3220, -2091, 687, 194, -57, -3, 1], 'lmfdb_label': '22491.v1', 'torsion': [2, 6]}
  • id: 1142082
    {'degree': 12, 'field': [576, 0, 0, -360, 0, 0, 99, 0, 0, -15, 0, 0, 1], 'lmfdb_label': '22491.v1', 'torsion': [9]}
  • id: 1142081
    {'degree': 12, 'field': [576, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '22491.v1', 'torsion': [3, 3]}
  • id: 1142084
    {'degree': 18, 'field': [10648, 0, 0, -16668, 0, 0, 29598, 0, 0, -16875, 0, 0, 3009, 0, 0, -63, 0, 0, 1], 'lmfdb_label': '22491.v1', 'torsion': [6]}
  • id: 1142085
    {'degree': 18, 'field': [50031, 6480, -527715, 82539, 1690227, -750465, -1774737, 933903, 794637, -459648, -158598, 106623, 11331, -11781, 225, 558, -45, -9, 1], 'lmfdb_label': '22491.v1', '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: 514111
    {'conductor': 22491, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '22491.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 514112
    {'conductor': 22491, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '22491.v1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 514113
    {'conductor': 22491, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '22491.v1', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
• ec_galrep •

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

  
  
  • id: 1814467
    {'adelic_gens': [[1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [1261, 18, 639, 163], [1, 0, 18, 1], [305, 2124, 603, 1979], [2125, 18, 2124, 19], [2137, 2124, 207, 1697]], 'adelic_image': '2142.144.3.?', 'conductor': 22491, 'lmfdb_label': '22491.v1', 'prime': 0}
  • id: 103924
    {'conductor': 22491, 'elladic_image': '9.36.0.6', 'lmfdb_label': '22491.v1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1059274
    {'lmfdb_iso': '22491.v', 'p': 13, 'prec': 20, 'unit': 543929097931908014409, 'val': 1}
  • id: 1059277
    {'lmfdb_iso': '22491.v', 'p': 19, 'prec': 20, 'unit': 309560693884679524450854, 'val': 1}
  • id: 1059278
    {'lmfdb_iso': '22491.v', 'p': 23, 'prec': 20, 'unit': 47006707583800653589576454, 'val': 1}
  • id: 1059273
    {'lmfdb_iso': '22491.v', 'p': 29, 'prec': 20, 'unit': 3603758550564828496874251020, 'val': 1}
  • id: 1059282
    {'lmfdb_iso': '22491.v', 'p': 31, 'prec': 20, 'unit': 7112933339251858287128474932, 'val': 1}
  • id: 1059269
    {'lmfdb_iso': '22491.v', 'p': 37, 'prec': 20, 'unit': 409759954593882552319944135343, 'val': 1}
  • id: 1059272
    {'lmfdb_iso': '22491.v', 'p': 43, 'prec': 20, 'unit': 9131758021687041699952310750559, 'val': 1}
  • id: 1059280
    {'lmfdb_iso': '22491.v', 'p': 47, 'prec': 20, 'unit': 15125246763297933174134714746056, 'val': 1}
  • id: 1059276
    {'lmfdb_iso': '22491.v', 'p': 59, 'prec': 20, 'unit': 4188860461660359303705444980166441, 'val': 1}
  • id: 1059281
    {'lmfdb_iso': '22491.v', 'p': 61, 'prec': 20, 'unit': 236713609361585852200037673231768551, 'val': -1}
  • id: 1059268
    {'lmfdb_iso': '22491.v', 'p': 67, 'prec': 20, 'unit': 12009589046777373184785991199451054, 'val': 1}
  • id: 1059270
    {'lmfdb_iso': '22491.v', 'p': 71, 'prec': 20, 'unit': 61261490566855766268040609098249206, 'val': 1}
  • id: 1059271
    {'lmfdb_iso': '22491.v', 'p': 73, 'prec': 20, 'unit': 159053302029806534517941633231214079, 'val': 1}
  • id: 1059275
    {'lmfdb_iso': '22491.v', 'p': 79, 'prec': 20, 'unit': 1015107569098011236874678998548229024, 'val': 1}
  • id: 1059279
    {'lmfdb_iso': '22491.v', 'p': 89, 'prec': 20, 'unit': 2602822184455017904548004640917658537, 'val': 1}
  • id: 1059267
    {'lmfdb_iso': '22491.v', 'p': 97, 'prec': 20, 'unit': 2271063848757584959832620324034217876530, 'val': -1}