Elliptic curve data - 63504.i2

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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': '63504cd', 'Clabel': '63504cd1', 'Cnumber': 1, 'abc_quality': 1.2854862760382055, 'absD': 2498119335936, 'adelic_genus': 1, 'adelic_index': 128, 'adelic_level': 84, 'ainvs': [0, 0, 0, 3381, 7546], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 63504, 'degree': 82944, 'elladic_images': ['4.8.0.2', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0682957691450126192761177610', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [109503, 64], 'lmfdb_iso': '63504.i', 'lmfdb_label': '63504.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 39, -19], 'min_quad_twist_disc': -84, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.8.0.b.1', '12.64.1.b.1', '28.16.0-4.b.1.1', '42.8.0-3.a.1.2', '84.128.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9899570513438979731360052388', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 3969], [3, 8, 784], [7, 26, 1296]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.96401058216529257315887247782', 'prec': 107}, 'szpiro_ratio': 3.254529796044968, '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, 0, -3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -3, 0, -4, 0], 'aplist': [0, 0, -3, 0, 0, 1, -3, -4, 0, -9, -4, -1, 6, -8, 12, 6, 0, 1, 4, -12, -11, 16, 12, -3, -2], 'class_deg': 3, 'class_size': 2, 'conductor': 63504, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '63504.i', 'trace_hash': 1137877300175484913}
• 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': '0.11805654926047314410308292272', 'prec': 103}, 'conductor': 63504, 'gens': [[63, 686, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9899570513438979731360052388', 'prec': 100}], 'lmfdb_label': '63504.i2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49233090039876516765139976205', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9188693873720522232818395243095337336', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [63]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [3, 0], '7': 'a', '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '63504.i2'}
• ec_torsion_growth •

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

  
  
  • id: 3036789
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [3]}
  • id: 3036790
    {'degree': 3, 'field': [-4, -3, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [2]}
  • id: 3036792
    {'degree': 6, 'field': [-126, -126, -27, -14, -12, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [12]}
  • id: 3036791
    {'degree': 6, 'field': [2, 6, 9, -2, 0, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [2, 2]}
  • id: 3036793
    {'degree': 6, 'field': [92, -78, 6, 7, 3, -3, 1], 'lmfdb_label': '63504.i2', 'torsion': [4]}
  • id: 3036794
    {'degree': 6, 'field': [1029, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [3]}
  • id: 3036795
    {'degree': 12, 'field': [848, -576, -588, 1176, -504, -384, 589, -414, 195, -76, 27, -6, 1], 'lmfdb_label': '63504.i2', 'torsion': [4, 12]}
  • id: 3036796
    {'degree': 12, 'field': [119716, 0, -96432, 0, 36645, 0, -6854, 0, 735, 0, -42, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [3, 3]}
  • id: 3036798
    {'degree': 18, 'field': [134464, 881856, 2334816, 3236400, 2593908, 1246968, 366456, 107316, 64341, 11930, -13896, -7326, -1161, 558, 459, -6, -36, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [6]}
  • id: 3036797
    {'degree': 18, 'field': [2161154, -3188304, -1100700, 1094982, 566838, -377460, 44409, 117450, -24948, -12888, -7929, 2394, 750, 108, 135, -66, -18, 0, 1], 'lmfdb_label': '63504.i2', 'torsion': [9]}
• 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: 1532649
    {'conductor': 63504, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '63504.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1532650
    {'conductor': 63504, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '63504.i2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1532651
    {'conductor': 63504, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '63504.i2', '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: 2084823
    {'adelic_gens': [[49, 36, 48, 49], [1, 0, 36, 1], [57, 28, 28, 57], [11, 0, 0, 83], [41, 21, 0, 83], [57, 28, 56, 29], [1, 21, 21, 22]], 'adelic_image': '84.128.1.?', 'conductor': 63504, 'lmfdb_label': '63504.i2', 'prime': 0}
  • id: 266861
    {'conductor': 63504, 'elladic_image': '4.8.0.2', 'lmfdb_label': '63504.i2', 'modell_image': '2G', 'prime': 2}
  • id: 266862
    {'conductor': 63504, 'elladic_image': '3.4.0.1', 'lmfdb_label': '63504.i2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 3234582
    {'lmfdb_iso': '63504.i', 'p': 5, 'prec': 20, 'unit': 2900812630119, 'val': 2}
  • id: 3234588
    {'lmfdb_iso': '63504.i', 'p': 13, 'prec': 20, 'unit': 14415414329361079469095, 'val': -1}
  • id: 3234590
    {'lmfdb_iso': '63504.i', 'p': 17, 'prec': 20, 'unit': 1103708315843291165330, 'val': 1}
  • id: 3234591
    {'lmfdb_iso': '63504.i', 'p': 19, 'prec': 20, 'unit': 341376989705119602457222, 'val': 1}
  • id: 3234587
    {'lmfdb_iso': '63504.i', 'p': 29, 'prec': 20, 'unit': 5342037861984471633290830946, 'val': 1}
  • id: 3234584
    {'lmfdb_iso': '63504.i', 'p': 31, 'prec': 20, 'unit': 11845726735704413161085492213, 'val': 1}
  • id: 3234597
    {'lmfdb_iso': '63504.i', 'p': 37, 'prec': 20, 'unit': 11075438443329479432528632732, 'val': 1}
  • id: 3234585
    {'lmfdb_iso': '63504.i', 'p': 41, 'prec': 20, 'unit': 3393229859990292549702196010255, 'val': 1}
  • id: 3234586
    {'lmfdb_iso': '63504.i', 'p': 43, 'prec': 20, 'unit': 4620399049834355220690266007970, 'val': 1}
  • id: 3234589
    {'lmfdb_iso': '63504.i', 'p': 47, 'prec': 20, 'unit': 44009388417505762387893010880511, 'val': 1}
  • id: 3234592
    {'lmfdb_iso': '63504.i', 'p': 53, 'prec': 20, 'unit': 177348398596643239253277786656908, 'val': 1}
  • id: 3234596
    {'lmfdb_iso': '63504.i', 'p': 61, 'prec': 20, 'unit': 400832697823903723994074769498777803, 'val': -1}
  • id: 3234581
    {'lmfdb_iso': '63504.i', 'p': 67, 'prec': 20, 'unit': 5242538186355564628079923149378333, 'val': 1}
  • id: 3234583
    {'lmfdb_iso': '63504.i', 'p': 71, 'prec': 20, 'unit': 2111438792769846460649323782544590, 'val': 1}
  • id: 3234593
    {'lmfdb_iso': '63504.i', 'p': 73, 'prec': 20, 'unit': 214333967775059845757093344280229901, 'val': 1}
  • id: 3234595
    {'lmfdb_iso': '63504.i', 'p': 79, 'prec': 20, 'unit': 234111859453034334133105419245892226, 'val': 1}
  • id: 3234580
    {'lmfdb_iso': '63504.i', 'p': 83, 'prec': 20, 'unit': 2258473213853974668481977735890642016, 'val': 1}
  • id: 3234594
    {'lmfdb_iso': '63504.i', 'p': 89, 'prec': 20, 'unit': 1979398388831563022919813790264738089, 'val': 1}
  • id: 3234579
    {'lmfdb_iso': '63504.i', 'p': 97, 'prec': 20, 'unit': 16799001108870150725159255755788418633, 'val': 1}