Elliptic curve data - 22848.cc1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '22848bg', 'Clabel': '22848bg1', 'Cnumber': 1, 'abc_quality': 1.004016469849009, 'absD': 265065212342697984, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -934241, -348758529], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 22848, 'degree': 391680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2135564218340585420491505559', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1], 'jinv': [-344002044213921241, 1011143540736], 'lmfdb_iso': '22848.cc', 'lmfdb_label': '22848.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -14597, -686643], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['2856.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2919488083962099962155874176', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1738356509941405779233023737', 'prec': 100}, 'szpiro_ratio': 5.2668274348130595, '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, 1, 0, -1, 0, 1, 0, 1, 0, -5, 0, 1, 0, -1, 0, -1, 0, 6, 0], 'aplist': [0, 1, -1, 1, -5, 1, -1, 6, 6, -6, 4, -11, 0, 9, 4, 7, -12, -6, -13, 4, -13, 15, -13, 13, -9], 'class_deg': 1, 'class_size': 1, 'conductor': 22848, 'isogeny_matrix': [[1]], 'lmfdb_iso': '22848.cc', 'trace_hash': 541878770025366456}
• 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': '0.011948938372550994244346489340', 'prec': 107}, 'conductor': 22848, 'gens': [[11347, 1204224, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2919488083962099962155874176', 'prec': 100}], 'lmfdb_label': '22848.cc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.076767666394572955007240962296', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9507937073095782221389492290133772875', 'prec': 130}, 'tamagawa_product': 60, 'torsion_generators': [], 'xcoord_integral_points': [2905, 11347]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [5, 0], '7': [4, 0], '11': [1, 0], '13': [1, 0], '17': [1, 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': '22848.cc1'}
• ec_torsion_growth •

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

  
  
  • id: 1158337
    {'degree': 3, 'field': [-21, 9, -1, 1], 'lmfdb_label': '22848.cc1', 'torsion': [2]}
  • id: 1158338
    {'degree': 6, 'field': [2478, 1008, 739, -84, 10, 0, 1], 'lmfdb_label': '22848.cc1', 'torsion': [2, 2]}
  • id: 1158339
    {'degree': 8, 'field': [-3072, 0, -160, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '22848.cc1', 'torsion': [3]}
  • id: 1158340
    {'degree': 12, 'field': [-35154, 20979, -34965, 73143, -60975, 25326, -7554, 510, 336, 207, -25, -5, 1], 'lmfdb_label': '22848.cc1', 'torsion': [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: 522416
    {'conductor': 22848, 'conductor_valuation': 6, 'discriminant_valuation': 35, 'j_denominator_valuation': 17, 'kodaira_symbol': -29, 'lmfdb_label': '22848.cc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 522417
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '22848.cc1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 522418
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '22848.cc1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 522419
    {'conductor': 22848, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22848.cc1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  {'adelic_gens': [[2143, 2, 2143, 3], [2855, 2, 2854, 3], [1429, 2, 1429, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 2855, 0], [409, 2, 409, 3], [953, 2, 953, 3], [2689, 2, 2689, 3]], 'adelic_image': '2856.2.0.?', 'conductor': 22848, 'lmfdb_label': '22848.cc1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 1077620
    {'lmfdb_iso': '22848.cc', 'p': 5, 'prec': 20, 'unit': 13594901242567, 'val': 1}
  • id: 1077619
    {'lmfdb_iso': '22848.cc', 'p': 11, 'prec': 20, 'unit': 31334854893583178864, 'val': 1}
  • id: 1077626
    {'lmfdb_iso': '22848.cc', 'p': 13, 'prec': 20, 'unit': 7397543225161108546856, 'val': -1}
  • id: 1077629
    {'lmfdb_iso': '22848.cc', 'p': 19, 'prec': 20, 'unit': 917337181069866750341846, 'val': 1}
  • id: 1077631
    {'lmfdb_iso': '22848.cc', 'p': 23, 'prec': 20, 'unit': 42723203544067708491269877, 'val': 1}
  • id: 1077625
    {'lmfdb_iso': '22848.cc', 'p': 29, 'prec': 20, 'unit': 305350515479469190794898490, 'val': 1}
  • id: 1077622
    {'lmfdb_iso': '22848.cc', 'p': 31, 'prec': 20, 'unit': 21568419549500101441643156590, 'val': 1}
  • id: 1077636
    {'lmfdb_iso': '22848.cc', 'p': 37, 'prec': 20, 'unit': 111579827743384055833125647216, 'val': 1}
  • id: 1077624
    {'lmfdb_iso': '22848.cc', 'p': 43, 'prec': 20, 'unit': 7765005250206501330730864464936, 'val': 1}
  • id: 1077634
    {'lmfdb_iso': '22848.cc', 'p': 47, 'prec': 20, 'unit': 44872037398279593590172312589237, 'val': 1}
  • id: 1077630
    {'lmfdb_iso': '22848.cc', 'p': 53, 'prec': 20, 'unit': 345568969483908878864329255606703, 'val': 1}
  • id: 1077628
    {'lmfdb_iso': '22848.cc', 'p': 59, 'prec': 20, 'unit': 2319621064801087433649403911875863, 'val': 1}
  • id: 1077635
    {'lmfdb_iso': '22848.cc', 'p': 61, 'prec': 20, 'unit': 5730664734866433052975126565622867, 'val': 1}
  • id: 1077618
    {'lmfdb_iso': '22848.cc', 'p': 67, 'prec': 20, 'unit': 36318656915559089378102971941056386, 'val': 1}
  • id: 1077621
    {'lmfdb_iso': '22848.cc', 'p': 71, 'prec': 20, 'unit': 407915464670641701819625159800916, 'val': 1}
  • id: 1077623
    {'lmfdb_iso': '22848.cc', 'p': 73, 'prec': 20, 'unit': 63847730045427074042781094884195143, 'val': 1}
  • id: 1077627
    {'lmfdb_iso': '22848.cc', 'p': 79, 'prec': 20, 'unit': 763656427599139654609835280122767049, 'val': 1}
  • id: 1077632
    {'lmfdb_iso': '22848.cc', 'p': 83, 'prec': 20, 'unit': 205470750032811240580916157212700314, 'val': 1}
  • id: 1077633
    {'lmfdb_iso': '22848.cc', 'p': 89, 'prec': 20, 'unit': 8189942406390433609567713804974200187, 'val': 1}
  • id: 1077617
    {'lmfdb_iso': '22848.cc', 'p': 97, 'prec': 20, 'unit': 2066252943443018195087536677216376381, 'val': 1}