Elliptic curve data - 11550.cu3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '11550cu', 'Clabel': '11550cu2', 'Cnumber': 2, 'abc_quality': 1.0844674702190744, 'absD': 1906400708173500, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 4620, 'ainvs': [1, 0, 0, -117753, -15420003], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 11550, 'degree': 76800, 'elladic_images': ['2.3.0.1', '5.24.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7482831686336236103148147989', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [1444540994277943589, 15251205665388], 'lmfdb_iso': '11550.cu', 'lmfdb_label': '11550.cu3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -117753, -15420003], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '5B.1.2'], 'modm_images': ['2.3.0.a.1', '5.24.0-5.a.2.2', '10.72.0-10.a.1.2', '60.144.1-60.cf.2.13', '924.6.0.?', '1540.144.1.?', '4620.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, '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': '1.3459236905250985166646249656', 'prec': 100}, 'szpiro_ratio': 4.9861491934787985, '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': '0.030301249270499895519074662754', 'prec': 107}, 'conductor': 11550, 'gens': [], 'heights': [], 'lmfdb_label': '11550.cu3', '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': [[1583, -1583, 2]], 'xcoord_integral_points': []}
• 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.cu3'}
• ec_torsion_growth •

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

  
  
  • id: 598351
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [2, 2]}
  • id: 598353
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '11550.cu3', 'torsion': [10]}
  • id: 598352
    {'degree': 4, 'field': [256, -16, -64, -1, 1], 'lmfdb_label': '11550.cu3', 'torsion': [4]}
  • id: 598354
    {'degree': 5, 'field': [-118, 278, 38, -32, -2, 1], 'lmfdb_label': '11550.cu3', 'torsion': [10]}
  • id: 598357
    {'degree': 8, 'field': [-261075, 0, -82900, 0, -1770, 0, 0, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [6]}
  • id: 598358
    {'degree': 8, 'field': [81, 0, 27, 0, 9, 0, 3, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [2, 10]}
  • id: 598355
    {'degree': 8, 'field': [2376, 0, 1422, 90, 129, -30, -12, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [2, 4]}
  • id: 598356
    {'degree': 8, 'field': [7056, 0, -10479, 0, 3091, 0, -109, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [2, 4]}
  • id: 598359
    {'degree': 10, 'field': [-126960, 0, 35376, 0, -2208, 0, 24, 0, -12, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [2, 10]}
  • id: 598362
    {'degree': 16, 'field': [10556001, 0, -4766283, 0, 1176831, 0, -211044, 0, 50269, 0, -5432, 0, 304, 0, -6, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [20]}
  • id: 598361
    {'degree': 16, 'field': [395970201, 0, 54777789, 0, -131837706, 0, -34918317, 0, 983934, 0, -14049, 0, 1666, 0, 97, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [2, 6]}
  • id: 598360
    {'degree': 16, 'field': [21743271936, 0, -13207339008, 0, 3810263040, 0, -556282368, 0, 45191424, 0, -2044992, 0, 44320, 0, -402, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [8]}
  • id: 598364
    {'degree': 20, 'field': [-2101842107004, 466959547656, 795301311816, 47805685956, -122053122444, 52611971412, 25334742324, 4471295556, 720754398, 455452620, -90961241, -38299128, -5195701, -2265900, -218240, -26292, -2738, 0, 65, 0, 1], 'lmfdb_label': '11550.cu3', 'torsion': [20]}
  • id: 598363
    {'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.cu3', 'torsion': [5, 10]}
• 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: 248470
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11550.cu3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 248471
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11550.cu3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 248472
    {'conductor': 11550, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '11550.cu3', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 248473
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '11550.cu3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 248474
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '11550.cu3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1740580
    {'adelic_gens': [[11, 16, 4380, 4271], [6, 5, 2365, 46], [2521, 20, 2110, 201], [1556, 5, 4575, 4606], [661, 20, 1990, 201], [4601, 20, 4600, 21], [1, 10, 10, 101], [1, 0, 20, 1], [3702, 5, 55, 46], [1, 20, 0, 1]], 'adelic_image': '4620.288.5.?', 'conductor': 11550, 'lmfdb_label': '11550.cu3', 'prime': 0}
  • id: 55428
    {'conductor': 11550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11550.cu3', 'modell_image': '2B', 'prime': 2}
  • id: 55429
    {'conductor': 11550, 'elladic_image': '5.24.0.3', 'lmfdb_label': '11550.cu3', 'modell_image': '5B.1.2', 'prime': 5}
• lmfdb_iso 11550.cu does not appear in ec_padic