Elliptic curve data - 63504.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
  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': '63504y', 'Clabel': '63504y2', 'Cnumber': 2, 'abc_quality': 1.0481648553214244, 'absD': 1912622616576, 'adelic_genus': 16, 'adelic_index': 576, 'adelic_level': 252, 'ainvs': [0, 0, 0, -2723763, 1730223026], 'analytic_rank': 2, 'bad_primes': [2, 3, 7], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 63504, 'degree': 564480, 'elladic_images': ['4.4.0.2', '7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0909645454184311014796529912', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 7], 'jinv': [1168429123449, 1], 'lmfdb_iso': '63504.v', 'lmfdb_label': '63504.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -31268, -2120282], 'min_quad_twist_disc': -84, 'modell_images': ['2Cn', '7B'], 'modm_images': ['2.2.0.a.1', '4.4.0-2.a.1.1', '7.8.0.a.1', '14.48.0.a.1', '28.192.2-28.e.1.4', '63.24.0.b.2', '126.144.4.?', '252.576.16.?'], 'nonmax_primes': [2, 7], 'nonmax_rad': 14, 'num_bad_primes': 3, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': True, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.4822302159195387148837301257', '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': '-0.26566016406775964180622937153', 'prec': 107}, 'szpiro_ratio': 5.069798071335814, '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, -1, 0, 0, 0, 0, 0, -5, 0, -5, 0, 0, 0, 3, 0, -1, 0], 'aplist': [0, 0, -1, 0, -5, -5, 3, -1, -3, -1, 0, 3, -5, 1, 0, -9, 0, -14, -4, 12, 3, -8, 9, -13, -9], 'class_deg': 7, 'class_size': 2, 'conductor': 63504, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '63504.v', 'trace_hash': 1077989789284182341}
• 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': '0.015269023803532967141307733102', 'prec': 107}, 'conductor': 63504, 'gens': [[953, 8, 1], [8575, 98, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2649732611785834700985275286', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.4347519354102544938004204892', 'prec': 100}], 'lmfdb_label': '63504.v1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.51971354744197303882832744572', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.2440214836947014986700584115352310950', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-1519, 833, 953, 1010]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [2, 0], '7': 'a', '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [4, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '63504.v1'}
• ec_torsion_growth •

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

  
  
  • id: 3036428
    {'degree': 3, 'field': [-28, -21, 0, 1], 'lmfdb_label': '63504.v1', 'torsion': [2, 2]}
  • id: 3036429
    {'degree': 6, 'field': [-111, -36, 156, -2, -27, 0, 1], 'lmfdb_label': '63504.v1', 'torsion': [7]}
  • id: 3036430
    {'degree': 8, 'field': [-27, 0, 0, 0, 18, 0, 1, 0, 1], 'lmfdb_label': '63504.v1', 'torsion': [3]}
  • id: 3036431
    {'degree': 12, 'field': [1, 0, -9, 0, -33, 0, 18, 0, -33, 0, -9, 0, 1], 'lmfdb_label': '63504.v1', 'torsion': [2, 4]}
  • id: 3036432
    {'degree': 18, 'field': [1, -24, -327, 2802, -4209, -8406, 20201, 5016, -25785, 494, 14433, -792, -4060, 132, 576, -6, -39, 0, 1], 'lmfdb_label': '63504.v1', 'torsion': [2, 14]}
• 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: 1532505
    {'conductor': 63504, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '63504.v1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1532506
    {'conductor': 63504, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '63504.v1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1532507
    {'conductor': 63504, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '63504.v1', 'prime': 7, '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

  
  
  • id: 2084839
    {'adelic_gens': [[225, 28, 224, 29], [1, 2, 14, 29], [15, 14, 28, 43], [125, 224, 0, 251], [1, 28, 0, 1], [116, 1, 119, 23], [1, 0, 28, 1], [118, 243, 63, 109]], 'adelic_image': '252.576.16.?', 'conductor': 63504, 'lmfdb_label': '63504.v1', 'prime': 0}
  • id: 266884
    {'conductor': 63504, 'elladic_image': '4.4.0.2', 'lmfdb_label': '63504.v1', 'modell_image': '2Cn', 'prime': 2}
  • id: 266885
    {'conductor': 63504, 'elladic_image': '7.8.0.1', 'lmfdb_label': '63504.v1', 'modell_image': '7B', 'prime': 7}
• ec_padic •

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

  
  
  • id: 3234057
    {'lmfdb_iso': '63504.v', 'p': 5, 'prec': 20, 'unit': 5192190971363, 'val': 2}
  • id: 3234064
    {'lmfdb_iso': '63504.v', 'p': 11, 'prec': 20, 'unit': 12241749650633577467, 'val': 2}
  • id: 3234062
    {'lmfdb_iso': '63504.v', 'p': 13, 'prec': 20, 'unit': 487712905491327339388, 'val': 2}
  • id: 3234065
    {'lmfdb_iso': '63504.v', 'p': 17, 'prec': 20, 'unit': 10286333215563316825392, 'val': 2}
  • id: 3234066
    {'lmfdb_iso': '63504.v', 'p': 19, 'prec': 20, 'unit': 1559921471633958032440487, 'val': 2}
  • id: 3234069
    {'lmfdb_iso': '63504.v', 'p': 23, 'prec': 20, 'unit': 52973276509736533947453, 'val': 4}
  • id: 3234061
    {'lmfdb_iso': '63504.v', 'p': 29, 'prec': 20, 'unit': 3346404102497158503404792668, 'val': 2}
  • id: 3234072
    {'lmfdb_iso': '63504.v', 'p': 37, 'prec': 20, 'unit': 478624361007152436349486340772, 'val': 2}
  • id: 3234059
    {'lmfdb_iso': '63504.v', 'p': 41, 'prec': 20, 'unit': 3047662730759711001783384711179, 'val': 2}
  • id: 3234060
    {'lmfdb_iso': '63504.v', 'p': 43, 'prec': 20, 'unit': 24152020396815091280600792795, 'val': 0}
  • id: 3234067
    {'lmfdb_iso': '63504.v', 'p': 53, 'prec': 20, 'unit': 514563576168795782916930337620244, 'val': 2}
  • id: 3234071
    {'lmfdb_iso': '63504.v', 'p': 61, 'prec': 20, 'unit': 3305121479091293162028323254720117, 'val': 2}
  • id: 3234056
    {'lmfdb_iso': '63504.v', 'p': 67, 'prec': 20, 'unit': 9925864959283749255746850014237528, 'val': 2}
  • id: 3234058
    {'lmfdb_iso': '63504.v', 'p': 71, 'prec': 20, 'unit': 111403215817233762705038275986103008, 'val': 2}
  • id: 3234068
    {'lmfdb_iso': '63504.v', 'p': 73, 'prec': 20, 'unit': 49916523561822720387538185734848880, 'val': 2}
  • id: 3234063
    {'lmfdb_iso': '63504.v', 'p': 79, 'prec': 20, 'unit': 225995840045717039080281598685166332, 'val': 2}
  • id: 3234055
    {'lmfdb_iso': '63504.v', 'p': 83, 'prec': 20, 'unit': 1737251682189601983207444372490539136, 'val': 2}
  • id: 3234070
    {'lmfdb_iso': '63504.v', 'p': 89, 'prec': 20, 'unit': 1467740910130419837022113400875215377, 'val': 2}
  • id: 3234054
    {'lmfdb_iso': '63504.v', 'p': 97, 'prec': 20, 'unit': 6488057436298238982484373113926718807, 'val': 2}