Elliptic curve data - 110352.ck3

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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': '110352bv', 'Clabel': '110352bv3', 'Cnumber': 3, 'abc_quality': 1.0442736790304261, 'absD': 16081831139749097766912, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 5016, 'ainvs': [0, 1, 0, -10284072, -14087535948], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 110352, 'degree': 7372800, 'elladic_images': ['8.12.0.16'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9935341004687251738029543526', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4], 'jinv': [-16576888679672833, 2216253521952], 'lmfdb_iso': '110352.ck', 'lmfdb_label': '110352.ck3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -5312, -167551], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.d.1', '44.12.0-4.c.1.2', '88.24.0.?', '456.24.0.?', '5016.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1014392835095945923547504422', 'prec': 100}, 'szpiro_ratio': 5.189693996330175, '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, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, -2, 0, 2, 0, 6, 0, -1, 0], 'aplist': [0, 1, 2, 0, 0, -2, 6, -1, 4, 2, -4, 10, -10, 4, 4, -10, -12, -14, 12, -8, 6, -4, 12, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 110352, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '110352.ck', 'trace_hash': 2128594407467412645}
• 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': '0.0025110150606948244826255934148', 'prec': 110}, 'conductor': 110352, 'gens': [], 'heights': [], 'lmfdb_label': '110352.ck3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.041841444828540976815654502232', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0167787035399337743028322142399165102', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[3747, 0, 1]], 'xcoord_integral_points': [3747]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '11': 'a', '19': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '110352.ck3'}
• ec_torsion_growth •

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

  
  
  • id: 5076437
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [4]}
  • id: 5076436
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [2, 2]}
  • id: 5076438
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '110352.ck3', 'torsion': [4]}
  • id: 5076439
    {'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '110352.ck3', 'torsion': [2, 4]}
  • id: 5076443
    {'degree': 8, 'field': [-18644, 16244, 25942, 6592, -1012, -122, -8, -4, 1], 'lmfdb_label': '110352.ck3', 'torsion': [6]}
  • id: 5076442
    {'degree': 8, 'field': [267, -354, 502, -322, 227, -82, 32, -4, 1], 'lmfdb_label': '110352.ck3', 'torsion': [8]}
  • id: 5076440
    {'degree': 8, 'field': [361, 0, 188, 0, 20, 0, -4, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [2, 4]}
  • id: 5076441
    {'degree': 8, 'field': [44100, 0, -61968, 0, 3124, 0, -104, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [8]}
  • id: 5076445
    {'degree': 16, 'field': [4833, -19764, 114048, -417492, 880326, -1101912, 916456, -587420, 304527, -123976, 44648, -12108, 3110, -532, 96, -8, 1], 'lmfdb_label': '110352.ck3', 'torsion': [2, 8]}
  • id: 5076444
    {'degree': 16, 'field': [6561, 0, -14580, 0, 16200, 0, -12600, 0, 6079, 0, -1400, 0, 200, 0, -20, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [4, 4]}
  • id: 5076449
    {'degree': 16, 'field': [38853, -153720, 145104, 35112, -65022, 63224, -26788, -5488, 16523, -13672, 6668, -2624, 862, -224, 52, -8, 1], 'lmfdb_label': '110352.ck3', 'torsion': [12]}
  • id: 5076448
    {'degree': 16, 'field': [1022121, 0, -1322208, 0, 664572, 0, -235012, 0, 58442, 0, -9232, 0, 856, 0, -44, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [12]}
  • id: 5076446
    {'degree': 16, 'field': [1280313, -7012440, 17940096, -24952248, 20672784, -11154120, 6055864, -2294768, 957921, -288808, 91580, -19944, 4598, -616, 108, -8, 1], 'lmfdb_label': '110352.ck3', 'torsion': [2, 8]}
  • id: 5076447
    {'degree': 16, 'field': [854334441, 0, -295061472, 0, 64585452, 0, 11361932, 0, 121322, 0, 17552, 0, 1096, 0, 4, 0, 1], 'lmfdb_label': '110352.ck3', 'torsion': [2, 6]}
• 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: 2710436
    {'conductor': 110352, 'conductor_valuation': 4, 'discriminant_valuation': 17, 'j_denominator_valuation': 5, 'kodaira_symbol': -13, 'lmfdb_label': '110352.ck3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2710437
    {'conductor': 110352, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '110352.ck3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 2710438
    {'conductor': 110352, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '110352.ck3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2710439
    {'conductor': 110352, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '110352.ck3', 'prime': 19, '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: 2386349
    {'adelic_gens': [[1880, 2101, 3245, 2760], [1673, 2288, 308, 4137], [911, 0, 0, 5015], [1, 0, 8, 1], [5009, 8, 5008, 9], [1, 8, 0, 1], [2377, 2288, 3124, 4137], [1, 4, 4, 17], [7, 6, 5010, 5011], [1200, 4169, 3355, 606]], 'adelic_image': '5016.48.0.?', 'conductor': 110352, 'lmfdb_label': '110352.ck3', 'prime': 0}
  • id: 437632
    {'conductor': 110352, 'elladic_image': '8.12.0.16', 'lmfdb_label': '110352.ck3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 110352.ck does not appear in ec_padic