Elliptic curve data - 2790.k4

Formats: - HTML - YAML - JSON - 2024-04-25T15:54:19.806037

• 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': '2790l', 'Clabel': '2790l1', 'Cnumber': 1, 'abc_quality': 1.1472356070759668, 'absD': 282404856360960, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1860, 'ainvs': [1, -1, 0, 12501, 600453], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2790, 'degree': 11520, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4587450434495096555339013732', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [296354077829711, 387386634240], 'lmfdb_iso': '2790.k', 'lmfdb_label': '2790.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1389, -22239], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '30.48.0-30.b.1.3', '124.6.0.?', '372.48.0.?', '1860.96.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.90943889911545480983627875474', 'prec': 103}, 'szpiro_ratio': 5.059923767943927, '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, -1, 0, 1, 1, 0, 2, -1, 0, -1, 0, 0, -4, -2, 0, 1, -6, 0, 8, 1], 'aplist': [-1, 0, 1, 2, 0, -4, -6, 8, 0, 0, 1, -4, 6, 8, 12, 6, 6, 2, 2, 6, 8, 8, -12, 0, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 2790, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2790.k', 'trace_hash': 487803406692229645}
• 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': '0.054069226192962383966699201623', 'prec': 107}, 'conductor': 2790, 'gens': [], 'heights': [], 'lmfdb_label': '2790.k4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36922738478891505307512434344', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4769095391556602123004973737660531432', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-42, 21, 1]], 'xcoord_integral_points': [-42]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': 'a', '5': [1, 0], '31': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '2790.k4'}
• ec_torsion_growth •

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

  
  
  • id: 144935
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2790.k4', 'torsion': [6]}
  • id: 144934
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 2]}
  • id: 144936
    {'degree': 3, 'field': [132, 52, -1, 1], 'lmfdb_label': '2790.k4', 'torsion': [6]}
  • id: 144938
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 6]}
  • id: 144937
    {'degree': 4, 'field': [36, -12, -18, -2, 1], 'lmfdb_label': '2790.k4', 'torsion': [4]}
  • id: 144940
    {'degree': 6, 'field': [184, -53, 55, -5, 5, -3, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 6]}
  • id: 144939
    {'degree': 6, 'field': [22188, 258, -257, -3, 4, -3, 1], 'lmfdb_label': '2790.k4', 'torsion': [3, 6]}
  • id: 144941
    {'degree': 8, 'field': [256, 0, -116, 0, -9, 0, 4, 0, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 4]}
  • id: 144943
    {'degree': 8, 'field': [484, 132, 190, -130, 59, -2, -3, -2, 1], 'lmfdb_label': '2790.k4', 'torsion': [12]}
  • id: 144942
    {'degree': 8, 'field': [8565, 4140, -1301, -50, 356, -56, 11, -2, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 4]}
  • id: 144944
    {'degree': 12, 'field': [33856, -9752, -7311, -1075, 1840, -297, -41, 252, -45, -5, 4, -3, 1], 'lmfdb_label': '2790.k4', 'torsion': [6, 6]}
  • id: 144945
    {'degree': 12, 'field': [7571441, 2406684, 2691858, -112888, 135798, -80814, -1218, 636, 78, 172, -42, -6, 1], 'lmfdb_label': '2790.k4', 'torsion': [12]}
  • id: 144947
    {'degree': 16, 'field': [1, 0, -4, 0, -5, 0, -76, 0, 424, 0, -76, 0, -5, 0, -4, 0, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 12]}
  • id: 144948
    {'degree': 16, 'field': [400, 2800, 14280, 35880, 68256, 41244, 27094, -19478, 12567, -3216, 819, -558, 194, -46, 9, -2, 1], 'lmfdb_label': '2790.k4', 'torsion': [2, 12]}
  • id: 144946
    {'degree': 16, 'field': [3459600, 0, 13838400, 0, 910780, 0, -3276080, 0, 459641, 0, -6512, 0, 74, 0, -32, 0, 1], 'lmfdb_label': '2790.k4', 'torsion': [8]}
  • id: 144949
    {'degree': 18, 'field': [5323599, -12063681, 15824043, -12206034, 628596, 6824682, -4046538, -718866, 1476915, -335085, -166077, 86526, 568, -7440, 984, 260, -57, -3, 1], 'lmfdb_label': '2790.k4', '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: 49415
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '2790.k4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 49416
    {'conductor': 2790, 'conductor_valuation': 2, 'discriminant_valuation': 15, 'j_denominator_valuation': 9, 'kodaira_symbol': -13, 'lmfdb_label': '2790.k4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 49417
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2790.k4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 49418
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2790.k4', 'prime': 31, '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: 1682198
    {'adelic_gens': [[159, 778, 1106, 1721], [1, 0, 12, 1], [1, 6, 6, 37], [1234, 1849, 1251, 20], [1, 12, 0, 1], [11, 2, 1810, 1851], [1801, 12, 1506, 73], [1849, 12, 1848, 13], [10, 3, 1461, 1852]], 'adelic_image': '1860.96.1.?', 'conductor': 2790, 'lmfdb_label': '2790.k4', 'prime': 0}
  • id: 13963
    {'conductor': 2790, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2790.k4', 'modell_image': '2B', 'prime': 2}
  • id: 13964
    {'conductor': 2790, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2790.k4', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 2790.k does not appear in ec_padic