Elliptic curve data - 52416.fe4

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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': '52416ca', 'Clabel': '52416ca3', 'Cnumber': 3, 'abc_quality': 0.9412720016290836, 'absD': 14327491756032, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2184, 'ainvs': [0, 0, 0, 6036, 24208], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 52416, 'degree': 98304, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2138083399206840007274590762', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 134, 'isogeny_degrees': [1, 2, 4], 'jinv': [1018108216, 599781], 'lmfdb_iso': '52416.fe', 'lmfdb_label': '52416.fe4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 168, -168], 'min_quad_twist_disc': -24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '168.24.0.?', '312.24.0.?', '728.24.0.?', '2184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.2993411957904059743877379843', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 8, 5824], [7, 8, 7488], [13, 14, 4032]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20193178011330248174170369408', 'prec': 107}, 'szpiro_ratio': 3.4719984805166435, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 2, 0, -1, 0, 0, 0, 4, 0, 1, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 0, 2, -1, 4, 1, 2, 0, -8, -2, -8, 6, -6, -4, -12, 6, 4, -2, 12, -8, -2, 4, 12, 10, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 52416, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '52416.fe', 'trace_hash': 1177295476292646310}
• 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': '0.088246902772991275233100548218', 'prec': 107}, 'conductor': 52416, 'gens': [[96, 1220, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.2993411957904059743877379843', 'prec': 100}], 'lmfdb_label': '52416.fe4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42757225704846718736034358502', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.3531160756222390267106662477930672900', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[74, 936, 1]], 'xcoord_integral_points': [-4, 74, 96, 9434]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [3, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '52416.fe4'}
• ec_torsion_growth •

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

  
  
  • id: 2537869
    {'degree': 2, 'field': [42, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [2, 4]}
  • id: 2537870
    {'degree': 4, 'field': [-1512, 0, -72, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [8]}
  • id: 2537874
    {'degree': 8, 'field': [-19683, 0, -19440, 0, -486, 0, 0, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [12]}
  • id: 2537871
    {'degree': 8, 'field': [142129, 0, 4540, 0, -750, 0, 4, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [4, 4]}
  • id: 2537872
    {'degree': 8, 'field': [2458521, -93132, -93240, 18396, 3892, -532, 0, -4, 1], 'lmfdb_label': '52416.fe4', 'torsion': [2, 8]}
  • id: 2537873
    {'degree': 8, 'field': [3261636, 0, 220248, 0, 7842, 0, 132, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [2, 8]}
  • id: 2537876
    {'degree': 16, 'field': [36728189316, 0, 0, 0, 579537504, 0, 3814776, 0, 1920996, 0, 12096, 0, 3028, 0, 4, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [2, 12]}
  • id: 2537875
    {'degree': 16, 'field': [95841014724, 0, 36510862752, 0, 2674788480, 0, 44579808, 0, 1666980, 0, 99792, 0, -3456, 0, -144, 0, 1], 'lmfdb_label': '52416.fe4', 'torsion': [16]}
• 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: 1255772
    {'conductor': 52416, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '52416.fe4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1255773
    {'conductor': 52416, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '52416.fe4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1255774
    {'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '52416.fe4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1255775
    {'conductor': 52416, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '52416.fe4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2012457
    {'adelic_gens': [[2017, 8, 1516, 33], [816, 1903, 1919, 1932], [2177, 8, 2176, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [816, 1903, 1373, 1386], [724, 2183, 1433, 2178], [7, 6, 2178, 2179], [1256, 3, 1877, 2]], 'adelic_image': '2184.48.0.?', 'conductor': 52416, 'lmfdb_label': '52416.fe4', 'prime': 0}
  • id: 224296
    {'conductor': 52416, 'elladic_image': '4.12.0.7', 'lmfdb_label': '52416.fe4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2640385
    {'lmfdb_iso': '52416.fe', 'p': 5, 'prec': 20, 'unit': 6776676573897, 'val': 1}
  • id: 2640384
    {'lmfdb_iso': '52416.fe', 'p': 11, 'prec': 20, 'unit': 26523940762952232535, 'val': 1}
  • id: 2640392
    {'lmfdb_iso': '52416.fe', 'p': 17, 'prec': 20, 'unit': 103915429852687031153071, 'val': 1}
  • id: 2640397
    {'lmfdb_iso': '52416.fe', 'p': 23, 'prec': 20, 'unit': 15264526773050488605959220, 'val': 1}
  • id: 2640390
    {'lmfdb_iso': '52416.fe', 'p': 29, 'prec': 20, 'unit': 5387043954062400856425330151, 'val': 1}
  • id: 2640387
    {'lmfdb_iso': '52416.fe', 'p': 31, 'prec': 20, 'unit': 13885123770033449910123247170, 'val': 1}
  • id: 2640401
    {'lmfdb_iso': '52416.fe', 'p': 37, 'prec': 20, 'unit': 575466416429930427849921880758, 'val': 1}
  • id: 2640388
    {'lmfdb_iso': '52416.fe', 'p': 41, 'prec': 20, 'unit': 488726051212960427845720691880, 'val': 1}
  • id: 2640389
    {'lmfdb_iso': '52416.fe', 'p': 43, 'prec': 20, 'unit': 371469344896321557983056288065, 'val': 1}
  • id: 2640399
    {'lmfdb_iso': '52416.fe', 'p': 47, 'prec': 20, 'unit': 35394522358045847526015820582521, 'val': 1}
  • id: 2640394
    {'lmfdb_iso': '52416.fe', 'p': 53, 'prec': 20, 'unit': 573238681038013337777005610760434, 'val': 1}
  • id: 2640395
    {'lmfdb_iso': '52416.fe', 'p': 59, 'prec': 20, 'unit': 2302720718578031188187272530701783, 'val': 1}
  • id: 2640400
    {'lmfdb_iso': '52416.fe', 'p': 61, 'prec': 20, 'unit': 5442402940058331546977143109055932, 'val': 1}
  • id: 2640383
    {'lmfdb_iso': '52416.fe', 'p': 67, 'prec': 20, 'unit': 33722537090902531392158849096821439, 'val': 1}
  • id: 2640386
    {'lmfdb_iso': '52416.fe', 'p': 71, 'prec': 20, 'unit': 124844179229833725515033266241332734, 'val': 1}
  • id: 2640396
    {'lmfdb_iso': '52416.fe', 'p': 73, 'prec': 20, 'unit': 78877925801646141764238363869827401, 'val': 1}
  • id: 2640391
    {'lmfdb_iso': '52416.fe', 'p': 79, 'prec': 20, 'unit': 275427932509191619309863579697149760, 'val': 1}
  • id: 2640393
    {'lmfdb_iso': '52416.fe', 'p': 83, 'prec': 20, 'unit': 2240774159041310863789297840286643887, 'val': 1}
  • id: 2640398
    {'lmfdb_iso': '52416.fe', 'p': 89, 'prec': 20, 'unit': 7940953163235422955200692079784904525, 'val': 1}
  • id: 2640382
    {'lmfdb_iso': '52416.fe', 'p': 97, 'prec': 20, 'unit': 35001596417798278426090620491094680657, 'val': 1}