Elliptic curve data - 55440.cx5

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

  
  {'Ciso': '55440dz', 'Clabel': '55440dz4', 'Cnumber': 4, 'abc_quality': 0.9942951054038932, 'absD': 490998762004498513920, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -9476787, -11178243214], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 55440, 'degree': 2654208, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8155688117613750743421857784', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 75, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [31522423139920199089, 164434491947880], 'lmfdb_iso': '55440.cx', 'lmfdb_label': '55440.cx5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -65811, -6474375], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0-12.g.1.4', '44.12.0-4.c.1.2', '120.96.0.?', '132.96.0.?', '168.96.0.?', '280.12.0.?', '840.192.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 495], [3, 2, 880], [5, 6, 11088], [7, 8, 7920], [11, 12, 5040]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5731154868673749192273310385', 'prec': 100}, 'szpiro_ratio': 5.475268756321271, '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, 1, 0, -1, 0, 0, 0, -1, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 1, -1, -1, 2, -6, 4, 0, -6, -8, -10, 6, -8, 0, -6, 12, 2, 4, 12, -10, 4, -12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 55440, 'isogeny_matrix': [[1, 4, 2, 12, 3, 4, 6, 12], [4, 1, 2, 3, 12, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [12, 3, 6, 1, 4, 12, 2, 4], [3, 12, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '55440.cx', 'trace_hash': 499543713154253571}
• 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': '0.0035844952008903587087798868351', 'prec': 110}, 'conductor': 55440, 'gens': [], 'heights': [], 'lmfdb_label': '55440.cx5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.086073736016347776009024710082', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3771797762615644161443953613194014100', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1874, 0, 1]], 'xcoord_integral_points': [-1874]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '55440.cx5'}
• ec_torsion_growth •

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

  
  
  • id: 2677826
    {'degree': 2, 'field': [-330, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 2]}
  • id: 2677829
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [6]}
  • id: 2677827
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '55440.cx5', 'torsion': [4]}
  • id: 2677828
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [4]}
  • id: 2677833
    {'degree': 4, 'field': [25, 0, 20, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [12]}
  • id: 2677832
    {'degree': 4, 'field': [33, 0, 1, -2, 1], 'lmfdb_label': '55440.cx5', 'torsion': [12]}
  • id: 2677830
    {'degree': 4, 'field': [759, -66, 67, -2, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 4]}
  • id: 2677831
    {'degree': 4, 'field': [3025, 0, -220, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 6]}
  • id: 2677834
    {'degree': 6, 'field': [3025, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [6]}
  • id: 2677838
    {'degree': 8, 'field': [1081, -2468, 3112, -1340, 801, -160, 58, -4, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 12]}
  • id: 2677836
    {'degree': 8, 'field': [65157, -17466, 19500, -4146, 2269, -238, 84, -4, 1], 'lmfdb_label': '55440.cx5', 'torsion': [8]}
  • id: 2677835
    {'degree': 8, 'field': [1437601, 0, -179564, 0, -1914, 0, -44, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 4]}
  • id: 2677837
    {'degree': 8, 'field': [6125625, 0, -346500, 0, 5020, 0, 140, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [8]}
  • id: 2677839
    {'degree': 12, 'field': [11664, 0, 3996, 0, 1261, 0, -179, 0, -36, 0, 1, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [3, 6]}
  • id: 2677841
    {'degree': 12, 'field': [50625, 0, 44875, 0, 19475, 0, -8414, 0, 883, 0, -37, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [12]}
  • id: 2677840
    {'degree': 12, 'field': [2205225, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 6]}
  • id: 2677842
    {'degree': 12, 'field': [8643600, 0, 0, 0, 126625, 0, 0, 0, 815, 0, 0, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [12]}
  • id: 2677846
    {'degree': 16, 'field': [-8250571964, -32205507840, -20360893552, -2557019520, -1704619940, -452517120, 224973968, 150289920, 21128149, -538560, -66388, -31680, -8930, 0, -28, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 12]}
  • id: 2677844
    {'degree': 16, 'field': [4133975616, 0, 74304864, 0, 73774260, 0, 5416956, 0, 1126089, 0, 29376, 0, 3090, 0, 84, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 8]}
  • id: 2677848
    {'degree': 16, 'field': [8818980676, 2497044704, -1753697936, -1377146896, 423820004, 292620176, -57020352, -32194168, 4959461, 1932880, -262452, -64688, 8294, 1120, -140, -8, 1], 'lmfdb_label': '55440.cx5', 'torsion': [24]}
  • id: 2677843
    {'degree': 16, 'field': [12385686681, 0, 2276747820, 0, 292089486, 0, 11857440, 0, 404431, 0, 5560, 0, 1506, 0, -20, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [4, 4]}
  • id: 2677847
    {'degree': 16, 'field': [29651118025, 0, 9004971472, 0, 1259795086, 0, 106346296, 0, 5985943, 0, 234136, 0, 6358, 0, 112, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [24]}
  • id: 2677845
    {'degree': 16, 'field': [8854344140625, 0, -948324937500, 0, 51869998000, 0, -1247739000, 0, 14557575, 0, 536600, 0, -7440, 0, -60, 0, 1], 'lmfdb_label': '55440.cx5', 'torsion': [2, 8]}
  • id: 2677849
    {'degree': 18, 'field': [-87849360259632, 0, -3231907652880, 0, 163635660216, 0, 12284346033, 0, -130657158, 0, -13630221, 0, -326880, 0, 23643, 0, -306, 0, 1], 'lmfdb_label': '55440.cx5', '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: 1332332
    {'conductor': 55440, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '55440.cx5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1332333
    {'conductor': 55440, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '55440.cx5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1332334
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55440.cx5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1332335
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '55440.cx5', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1332336
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55440.cx5', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2032230
    {'adelic_gens': [[4242, 2719, 7037, 6692], [3376, 3, 7101, 9154], [9224, 4617, 1999, 3166], [1, 12, 12, 145], [15, 106, 7934, 11], [6929, 9216, 6930, 9239], [9217, 24, 9216, 25], [3712, 21, 8955, 8866], [1, 24, 0, 1], [5281, 24, 7932, 289], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 55440, 'lmfdb_label': '55440.cx5', 'prime': 0}
  • id: 235935
    {'conductor': 55440, 'elladic_image': '4.6.0.1', 'lmfdb_label': '55440.cx5', 'modell_image': '2B', 'prime': 2}
  • id: 235936
    {'conductor': 55440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '55440.cx5', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 55440.cx does not appear in ec_padic