Elliptic curve data - 65520.ek1

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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': '65520en', 'Clabel': '65520en4', 'Cnumber': 4, 'abc_quality': 1.0534377257170546, 'absD': 307919592951112396800000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -22713777147, 1317595655510314], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 65520, 'degree': 88473600, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3255988718107446669761574225', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 114, 'isogeny_degrees': [1, 2, 4], 'jinv': [434014578033107719741685694649, 103121648659575000], 'lmfdb_iso': '65520.ek', 'lmfdb_label': '65520.ek1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -157734563, 762431763093], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.bb.1.6', '280.24.0.?', '420.12.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 315], [3, 8, 7280], [5, 6, 13104], [7, 8, 9360], [13, 14, 5040]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.0831455469167445118613026826', 'prec': 100}, 'szpiro_ratio': 7.497879655441915, '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, 1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 6, 0, 8, 0], 'aplist': [0, 0, 1, 1, 4, 1, 6, 8, 8, -2, -8, 2, 2, 8, -12, -10, 4, 2, 8, 4, -6, 8, 4, -14, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 65520, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '65520.ek', 'trace_hash': 645255311135732051}
• 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': '0.00017491721665978211080782057789', 'prec': 113}, 'conductor': 65520, 'gens': [], 'heights': [], 'lmfdb_label': '65520.ek1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.056893851497345308515115538692', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5515081197876246812092430953586845820', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[87014, 0, 1]], 'xcoord_integral_points': [87014]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '13': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '65520.ek1'}
• ec_torsion_growth •

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

  
  
  • id: 3128714
    {'degree': 2, 'field': [-70, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [2, 2]}
  • id: 3128715
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '65520.ek1', 'torsion': [4]}
  • id: 3128716
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [4]}
  • id: 3128717
    {'degree': 4, 'field': [256, 0, -38, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [2, 4]}
  • id: 3128718
    {'degree': 4, 'field': [280, 0, -35, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [8]}
  • id: 3128722
    {'degree': 8, 'field': [-3072, 0, 6420, 0, 2097, 0, 14, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [6]}
  • id: 3128721
    {'degree': 8, 'field': [11236, 0, -12484, 0, 2421, 0, -94, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [2, 8]}
  • id: 3128719
    {'degree': 8, 'field': [139098436, 0, 852624, 0, -23444, 0, 24, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [2, 4]}
  • id: 3128720
    {'degree': 8, 'field': [144937521, 0, -4976292, 0, 66514, 0, -412, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [8]}
  • id: 3128728
    {'degree': 16, 'field': [295805601, 0, -394407468, 0, 131469156, 0, -1039716, 0, 449766, 0, 22716, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [12]}
  • id: 3128727
    {'degree': 16, 'field': [4537369600, 0, 176018320, 0, 23685496, 0, -1245299, 0, -560990, 0, -23315, 0, -2015, 0, -14, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [12]}
  • id: 3128724
    {'degree': 16, 'field': [53553694805521, 0, -563706883264, 0, 95181256328, 0, -244841736, 0, 55647038, 0, -25632, 0, 12872, 0, 8, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [2, 8]}
  • id: 3128726
    {'degree': 16, 'field': [1562907742842384, 0, -76449755319040, 0, 2171475740632, 0, -60017535696, 0, 1301650865, 0, -17396804, 0, 131790, 0, -532, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [2, 6]}
  • id: 3128725
    {'degree': 16, 'field': [2808830402560000, 0, -108031938560000, 0, -786496256000, 0, 20416614400, 0, 220924480, 0, 135520, 0, -28910, 0, -140, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [16]}
  • id: 3128723
    {'degree': 16, 'field': [19645364098410241, 0, 0, 0, -6466317793204, 0, 0, 0, 852896166, 0, 0, 0, -47284, 0, 0, 0, 1], 'lmfdb_label': '65520.ek1', 'torsion': [4, 4]}
• 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: 1583805
    {'conductor': 65520, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '65520.ek1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1583806
    {'conductor': 65520, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '65520.ek1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1583807
    {'conductor': 65520, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '65520.ek1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 1583808
    {'conductor': 65520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '65520.ek1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1583809
    {'conductor': 65520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '65520.ek1', 'prime': 13, 'reduction_type': 1, '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: 2097998
    {'adelic_gens': [[176, 3, 5, 2], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [528, 113, 307, 294], [248, 3, 365, 2], [559, 832, 556, 807], [104, 517, 101, 72], [7, 6, 834, 835]], 'adelic_image': '840.48.0.?', 'conductor': 65520, 'lmfdb_label': '65520.ek1', 'prime': 0}
  • id: 274663
    {'conductor': 65520, 'elladic_image': '8.12.0.6', 'lmfdb_label': '65520.ek1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 65520.ek does not appear in ec_padic