Elliptic curve data - 44100.l1

Formats: - HTML - YAML - JSON - 2024-04-27T22:59:15.567221

• 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': '44100p', 'Clabel': '44100p2', 'Cnumber': 2, 'abc_quality': 0.8748028054823834, 'absD': 3112992540000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 420, 'ainvs': [0, 0, 0, -106575, 13119750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 44100, 'degree': 221184, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7587465636025675823698593623', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [10536048, 245], 'lmfdb_iso': '44100.l', 'lmfdb_label': '44100.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -783, 8262], 'min_quad_twist_disc': 105, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '60.6.0.a.1', '84.6.0.?', '140.6.0.?', '420.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.5637011439833904666770884551', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75567865968246355327682939957', 'prec': 107}, 'szpiro_ratio': 4.333503253057415, '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, -4, 0, 0, 0, 0, 0, -2, 0, 6, 0], 'aplist': [0, 0, 0, 0, -4, 0, -2, 6, 6, 0, -2, -2, 2, -4, -8, 10, 4, 2, -12, -8, 8, -8, 4, 10, -4], 'class_deg': 2, 'class_size': 2, 'conductor': 44100, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '44100.l', 'trace_hash': 897472116967753531}
• 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': '0.029673730271936903995758204398', 'prec': 107}, 'conductor': 44100, 'gens': [[70, 2450, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5637011439833904666770884551', 'prec': 100}], 'lmfdb_label': '44100.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44857117545925193393046143519', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6114500817888513326782953298191099422', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[210, 0, 1]], 'xcoord_integral_points': [70, 210, 16674]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': 'a', '11': [3, 0], '13': [1, 3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '44100.l1'}
• ec_torsion_growth •

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

  
  
  • id: 2158785
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '44100.l1', 'torsion': [2, 2]}
  • id: 2158786
    {'degree': 4, 'field': [15, 0, -9, 0, 1], 'lmfdb_label': '44100.l1', 'torsion': [4]}
  • id: 2158788
    {'degree': 8, 'field': [-971, -2566, -1696, 320, 511, 28, -40, -2, 1], 'lmfdb_label': '44100.l1', 'torsion': [2, 4]}
  • id: 2158789
    {'degree': 8, 'field': [-269, -2731, -1466, 401, 400, 11, -26, -1, 1], 'lmfdb_label': '44100.l1', 'torsion': [6]}
  • id: 2158787
    {'degree': 8, 'field': [3481, 0, 3196, 0, -594, 0, 76, 0, 1], 'lmfdb_label': '44100.l1', 'torsion': [2, 4]}
  • id: 2158791
    {'degree': 16, 'field': [63504, 0, -508032, 0, 740880, 0, -380079, 0, 69930, 0, -6111, 0, 393, 0, -30, 0, 1], 'lmfdb_label': '44100.l1', 'torsion': [2, 6]}
  • id: 2158790
    {'degree': 16, 'field': [99225, 0, -714420, 0, 348894, 0, -328860, 0, 145611, 0, -25596, 0, 1986, 0, -72, 0, 1], 'lmfdb_label': '44100.l1', 'torsion': [8]}
• 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: 1048656
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '44100.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1048657
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '44100.l1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1048658
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '44100.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1048659
    {'conductor': 44100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '44100.l1', '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: 1958063
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [316, 109, 105, 316], [1, 2, 2, 5], [284, 1, 139, 0], [1, 4, 0, 1], [417, 4, 416, 5], [254, 1, 83, 0], [241, 4, 62, 9]], 'adelic_image': '420.12.0.?', 'conductor': 44100, 'lmfdb_label': '44100.l1', 'prime': 0}
  • id: 191897
    {'conductor': 44100, 'elladic_image': '2.3.0.1', 'lmfdb_label': '44100.l1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2198631
    {'lmfdb_iso': '44100.l', 'p': 11, 'prec': 20, 'unit': 4809926040883875522, 'val': 2}
  • id: 2198632
    {'lmfdb_iso': '44100.l', 'p': 17, 'prec': 20, 'unit': 101706457645162787720388, 'val': 1}
  • id: 2198633
    {'lmfdb_iso': '44100.l', 'p': 19, 'prec': 20, 'unit': 1744747616466996757113263, 'val': 1}
  • id: 2198637
    {'lmfdb_iso': '44100.l', 'p': 23, 'prec': 20, 'unit': 59552462710498787848897804, 'val': 1}
  • id: 2198641
    {'lmfdb_iso': '44100.l', 'p': 31, 'prec': 20, 'unit': 13269697003239611715429468025, 'val': 1}
  • id: 2198626
    {'lmfdb_iso': '44100.l', 'p': 37, 'prec': 20, 'unit': 558654202023684621003900146625, 'val': 1}
  • id: 2198628
    {'lmfdb_iso': '44100.l', 'p': 41, 'prec': 20, 'unit': 3567697719608490760022991150517, 'val': 1}
  • id: 2198629
    {'lmfdb_iso': '44100.l', 'p': 43, 'prec': 20, 'unit': 3263375286216974605565382352866, 'val': 1}
  • id: 2198639
    {'lmfdb_iso': '44100.l', 'p': 47, 'prec': 20, 'unit': 13735484721801884070579959166528, 'val': 1}
  • id: 2198634
    {'lmfdb_iso': '44100.l', 'p': 53, 'prec': 20, 'unit': 525230084370060986848048982427478, 'val': 1}
  • id: 2198635
    {'lmfdb_iso': '44100.l', 'p': 59, 'prec': 20, 'unit': 1219913657453445077123824930300357, 'val': 1}
  • id: 2198640
    {'lmfdb_iso': '44100.l', 'p': 61, 'prec': 20, 'unit': 2379799947327708145037796324963106, 'val': 1}
  • id: 2198625
    {'lmfdb_iso': '44100.l', 'p': 67, 'prec': 20, 'unit': 13723641383963127544617296446491848, 'val': 1}
  • id: 2198627
    {'lmfdb_iso': '44100.l', 'p': 71, 'prec': 20, 'unit': 86956035616546373804281077618053405, 'val': 1}
  • id: 2198636
    {'lmfdb_iso': '44100.l', 'p': 73, 'prec': 20, 'unit': 85107382978428692320640729944544584, 'val': 1}
  • id: 2198630
    {'lmfdb_iso': '44100.l', 'p': 79, 'prec': 20, 'unit': 715330417657029922109295688231059332, 'val': 1}
  • id: 2198624
    {'lmfdb_iso': '44100.l', 'p': 83, 'prec': 20, 'unit': 2398580684492491136724763954951747395, 'val': 1}
  • id: 2198638
    {'lmfdb_iso': '44100.l', 'p': 89, 'prec': 20, 'unit': 7146568036772568599173166559559739230, 'val': 1}
  • id: 2198623
    {'lmfdb_iso': '44100.l', 'p': 97, 'prec': 20, 'unit': 14422543017054779391438303958902961151, 'val': 1}