Elliptic curve data - 44100.dt4

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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': '44100cn', 'Clabel': '44100cn1', 'Cnumber': 1, 'abc_quality': 1.1084282779180015, 'absD': 28367144520750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 420, 'ainvs': [0, 0, 0, 73500, -2615375], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 44100, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8459094029160600887342089161', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2048000, 1323], 'lmfdb_iso': '44100.dt', 'lmfdb_label': '44100.dt4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7, 0], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '28.6.0.b.1', '60.48.0-6.b.1.3', '84.48.1.?', '105.8.0.?', '210.48.0.?', '420.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 11025], [3, 2, 4900], [5, 14, 1764], [7, 32, 900]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71211983234935003328888044785', 'prec': 107}, 'szpiro_ratio': 4.229270201553037, '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, 0, 0, 0, 0, 0, 0, 6, 0, 2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 0, 0, 6, 2, 0, 4, -6, -6, -8, -2, 12, 4, -12, -6, 0, 10, -8, -6, -10, -4, 12, 12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 44100, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '44100.dt', 'trace_hash': 579604533378408320}
• 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': '0.024926624098665581686148115012', 'prec': 107}, 'conductor': 44100, 'gens': [], 'heights': [], 'lmfdb_label': '44100.dt4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21375306266151298707208934601', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5650367519381558448650721521489457949', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[35, 0, 1]], 'xcoord_integral_points': [35]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': 'a'}, 'iwp0': 5, 'lmfdb_label': '44100.dt4'}
• ec_torsion_growth •

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

  
  
  • id: 2159369
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '44100.dt4', 'torsion': [6]}
  • id: 2159368
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '44100.dt4', 'torsion': [2, 2]}
  • id: 2159370
    {'degree': 4, 'field': [-14, 28, 8, -2, 1], 'lmfdb_label': '44100.dt4', 'torsion': [4]}
  • id: 2159371
    {'degree': 4, 'field': [81, -9, -8, -1, 1], 'lmfdb_label': '44100.dt4', 'torsion': [2, 6]}
  • id: 2159372
    {'degree': 6, 'field': [99, -102, 23, 20, -3, -2, 1], 'lmfdb_label': '44100.dt4', 'torsion': [6]}
  • id: 2159375
    {'degree': 8, 'field': [-14, 168, -80, -158, 35, 50, -12, -4, 1], 'lmfdb_label': '44100.dt4', 'torsion': [12]}
  • id: 2159374
    {'degree': 8, 'field': [196, -392, 896, 168, 134, -72, -4, -2, 1], 'lmfdb_label': '44100.dt4', 'torsion': [2, 4]}
  • id: 2159373
    {'degree': 8, 'field': [22801, 0, 2342, 0, 1023, 0, 62, 0, 1], 'lmfdb_label': '44100.dt4', 'torsion': [2, 4]}
  • id: 2159376
    {'degree': 12, 'field': [9801, -10098, 8127, -6306, 2866, -350, 463, -70, 26, -34, 7, -2, 1], 'lmfdb_label': '44100.dt4', 'torsion': [6, 6]}
  • id: 2159379
    {'degree': 16, 'field': [441, -882, 714, -1344, 1429, 150, -510, 310, -40, -104, 8, 22, 9, -12, 8, -4, 1], 'lmfdb_label': '44100.dt4', 'torsion': [2, 12]}
  • id: 2159377
    {'degree': 16, 'field': [441, 0, -802032, 0, 572656, 0, -120456, 0, -54102, 0, 6128, 0, 384, 0, 24, 0, 1], 'lmfdb_label': '44100.dt4', 'torsion': [8]}
  • id: 2159378
    {'degree': 16, 'field': [107676, 15768, 3096, -28224, -5712, 13524, 10416, -8676, -2447, 2344, 112, -140, -98, 28, 16, -8, 1], 'lmfdb_label': '44100.dt4', 'torsion': [2, 12]}
  • id: 2159380
    {'degree': 18, 'field': [-1472996259, 2039755851, -1914308802, 1783197990, -643406085, -209964447, 150857634, 6547293, -9623106, -2763807, 1191240, 125955, -65516, -7077, 2787, 266, -84, -3, 1], 'lmfdb_label': '44100.dt4', 'torsion': [18]}
• 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: 1048968
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '44100.dt4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1048969
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '44100.dt4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1048970
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '44100.dt4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1048971
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '44100.dt4', 'prime': 7, 'reduction_type': 0, '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: 1958052
    {'adelic_gens': [[409, 12, 408, 13], [179, 240, 150, 179], [11, 2, 370, 411], [1, 0, 12, 1], [83, 0, 0, 419], [1, 6, 6, 37], [291, 10, 350, 401], [1, 12, 0, 1], [274, 325, 375, 104]], 'adelic_image': '420.96.1.?', 'conductor': 44100, 'lmfdb_label': '44100.dt4', 'prime': 0}
  • id: 191889
    {'conductor': 44100, 'elladic_image': '2.3.0.1', 'lmfdb_label': '44100.dt4', 'modell_image': '2B', 'prime': 2}
  • id: 191890
    {'conductor': 44100, 'elladic_image': '3.4.0.1', 'lmfdb_label': '44100.dt4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 44100.dt does not appear in ec_padic