Elliptic curve data - 2790.k3

Formats: - HTML - YAML - JSON - 2022-06-27T17:26:23.549323

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  absD	numeric
  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[]
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '2790l', 'Clabel': '2790l2', 'Cnumber': 2, 'absD': 14008505009457600, 'ainvs': [1, -1, 0, -76779, 5903685], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2790, 'degree': 23040, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8053186337294823102425174340', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [68663623745397169, 19216056254400], 'lmfdb_iso': '2790.k', 'lmfdb_label': '2790.k3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -8531, -218655], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.2'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2560124893954274645448948155', 'prec': 100}, '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': '0.027034613096481191983349600811', 'prec': 107}, 'conductor': 2790, 'gens': [], 'heights': [], 'lmfdb_label': '2790.k3', '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': [[339, -339, 2]], 'xcoord_integral_points': []}
• 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.k3'}
• ec_torsion_growth •

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

  
  
  • id: 144950
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 2]}
  • id: 144951
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2790.k3', 'torsion': [6]}
  • id: 144952
    {'degree': 3, 'field': [132, 52, -1, 1], 'lmfdb_label': '2790.k3', 'torsion': [6]}
  • id: 144953
    {'degree': 4, 'field': [31, 0, 8, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [4]}
  • id: 144954
    {'degree': 4, 'field': [961, 0, 31, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 6]}
  • id: 144956
    {'degree': 6, 'field': [-775, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 6]}
  • id: 144955
    {'degree': 6, 'field': [22188, 258, -257, -3, 4, -3, 1], 'lmfdb_label': '2790.k3', 'torsion': [3, 6]}
  • id: 144959
    {'degree': 8, 'field': [100, 0, 60, 0, 29, 0, 9, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [12]}
  • id: 144957
    {'degree': 8, 'field': [729, 0, -1272, 0, -410, 0, -8, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 4]}
  • id: 144958
    {'degree': 8, 'field': [1249, 2184, 199, -490, 536, -92, 15, -2, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 4]}
  • id: 144961
    {'degree': 12, 'field': [50560, -14720, 164040, 51620, 20605, 3015, 2839, -1908, 0, 40, -5, -3, 1], 'lmfdb_label': '2790.k3', 'torsion': [12]}
  • id: 144960
    {'degree': 12, 'field': [599076, 4644, 11646, -31050, 11715, 4524, -1409, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2790.k3', 'torsion': [6, 6]}
  • id: 144964
    {'degree': 16, 'field': [163216, -172912, 112888, -150424, 83840, -10276, 9018, -1450, 3587, 784, 255, -74, 122, 10, 13, -2, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 12]}
  • id: 144963
    {'degree': 16, 'field': [531441, 0, 204120, 0, 15706, 0, 12416, 0, 4427, 0, 128, 0, -22, 0, 8, 0, 1], 'lmfdb_label': '2790.k3', 'torsion': [2, 12]}
  • id: 144962
    {'degree': 16, 'field': [75868320771, 14722538148, -11926990908, -1246877496, 993452091, 87148668, -51120090, -5738148, 2480554, 78716, -52280, -6304, 2311, -28, -2, -4, 1], 'lmfdb_label': '2790.k3', 'torsion': [8]}
  • id: 144965
    {'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.k3', '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: 49419
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2790.k3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 49420
    {'conductor': 2790, 'conductor_valuation': 2, 'discriminant_valuation': 24, 'j_denominator_valuation': 18, 'kodaira_symbol': -22, 'lmfdb_label': '2790.k3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 49421
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2790.k3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 49422
    {'conductor': 2790, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2790.k3', 'prime': 31, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 14029
    {'conductor': 2790, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2790.k3', 'modell_image': '2B', 'prime': 2}
  • id: 14030
    {'conductor': 2790, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2790.k3', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 2790.k does not appear in ec_padic