Elliptic curve data - 11550.cu4

Formats: - HTML - YAML - JSON - 2022-06-25T08:11:21.547748

• 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': '11550cu', 'Clabel': '11550cu1', 'Cnumber': 1, 'absD': 20292426000, 'ainvs': [1, 0, 0, -117453, -15503103], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 11550, 'degree': 38400, 'elladic_images': ['2.3.0.1', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4017095783536509556061987382', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [1433528304665250149, 162339408], 'lmfdb_iso': '11550.cu', 'lmfdb_label': '11550.cu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -117453, -15503103], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, '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': '0.99935010024512586195600890489', 'prec': 103}, '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, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 4, 1, 0, 1, -2, 1, 0, 0], 'aplist': [1, 1, 0, 1, 1, 4, -2, 0, -6, 0, 2, 8, 2, 4, 8, -6, 0, 2, 8, -8, 4, 10, -6, 0, -2], 'class_deg': 10, 'class_size': 4, 'conductor': 11550, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '11550.cu', 'trace_hash': 2288733760688718179}
• 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': '0.060602498540999791038149325507', 'prec': 107}, 'conductor': 11550, 'gens': [], 'heights': [], 'lmfdb_label': '11550.cu4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.25788941075355022381234201319', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1577882150710044762468402637956388177', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[-198, 99, 1]], 'xcoord_integral_points': [-198]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '11550.cu4'}
• ec_torsion_growth •

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

  
  
  • id: 598337
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '11550.cu4', 'torsion': [2, 2]}
  • id: 598339
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '11550.cu4', 'torsion': [10]}
  • id: 598338
    {'degree': 4, 'field': [160, -120, 25, 0, 1], 'lmfdb_label': '11550.cu4', 'torsion': [4]}
  • id: 598340
    {'degree': 5, 'field': [-118, 278, 38, -32, -2, 1], 'lmfdb_label': '11550.cu4', 'torsion': [10]}
  • id: 598343
    {'degree': 8, 'field': [-261075, 0, -82900, 0, -1770, 0, 0, 0, 1], 'lmfdb_label': '11550.cu4', 'torsion': [6]}
  • id: 598342
    {'degree': 8, 'field': [25600, 0, -13500, 0, 1735, 0, -60, 0, 1], 'lmfdb_label': '11550.cu4', 'torsion': [2, 4]}
  • id: 598344
    {'degree': 8, 'field': [130321, 6859, 7220, 741, 419, -39, 20, -1, 1], 'lmfdb_label': '11550.cu4', 'torsion': [2, 10]}
  • id: 598341
    {'degree': 8, 'field': [207936, 0, -9759, 0, 1411, 0, -29, 0, 1], 'lmfdb_label': '11550.cu4', 'torsion': [2, 4]}
  • id: 598345
    {'degree': 10, 'field': [-5277250, 6649500, -4792834, 2213028, -698740, 141183, -16751, 762, 10, -3, 1], 'lmfdb_label': '11550.cu4', 'torsion': [2, 10]}
  • id: 598348
    {'degree': 16, 'field': [3481, -12626, 25495, -33940, 40072, -35722, 29785, -18960, 10079, -4416, 1833, -386, 48, -26, 27, -4, 1], 'lmfdb_label': '11550.cu4', 'torsion': [20]}
  • id: 598346
    {'degree': 16, 'field': [2370816, 4233600, -1863792, -4840416, 2865072, 3863664, -883704, -399768, 537160, -110828, 22453, -1928, -113, 4, 43, -8, 1], 'lmfdb_label': '11550.cu4', 'torsion': [8]}
  • id: 598347
    {'degree': 16, 'field': [61012019376, 302085047880, 264313941276, 94464279294, 63279732978, 15169600138, 3588807751, 571011178, 44889164, 4745738, 263657, 35060, 15107, -286, -254, -2, 1], 'lmfdb_label': '11550.cu4', 'torsion': [2, 6]}
  • id: 598349
    {'degree': 20, 'field': [609960125, 0, 51966725, 0, -76981769, 0, -1990450, 0, 1496721, 0, 280835, 0, -459, 0, -4690, 0, 11, 0, 5, 0, 1], 'lmfdb_label': '11550.cu4', 'torsion': [5, 10]}
  • id: 598350
    {'degree': 20, 'field': [1918665666, -5069452068, 6350854338, -4763924676, 1833189930, 280326630, -380644878, -146915028, 46232796, 65471640, 2579485, -2263018, 1040871, 118446, -19644, 10716, -312, -264, 75, -10, 1], 'lmfdb_label': '11550.cu4', 'torsion': [20]}
• 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: 248465
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11550.cu4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 248466
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11550.cu4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 248467
    {'conductor': 11550, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '11550.cu4', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 248468
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11550.cu4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 248469
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '11550.cu4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

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

  
  
  • id: 55587
    {'conductor': 11550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11550.cu4', 'modell_image': '2B', 'prime': 2}
  • id: 55588
    {'conductor': 11550, 'elladic_image': '5.24.0.3', 'lmfdb_label': '11550.cu4', 'modell_image': '5B.1.2', 'prime': 5}
• lmfdb_iso 11550.cu does not appear in ec_padic