Elliptic curve data - 55440.dd3

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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': '55440dw', 'Clabel': '55440dw1', 'Cnumber': 1, 'abc_quality': 0.9304761045976033, 'absD': 1236569071288320, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [0, 0, 0, -131547, 18441866], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 55440, 'degree': 331776, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7440921471929459178632089409', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-84309998289049, 414124480], 'lmfdb_iso': '55440.dd', 'lmfdb_label': '55440.dd3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -914, 10596], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.9', '56.6.0.d.1', '110.6.0.?', '168.48.0.?', '330.24.0.?', '660.48.0.?', '3080.12.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 495], [3, 2, 880], [5, 6, 11088], [7, 8, 7920], [11, 12, 5040]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.50163882229894576274835420098', 'prec': 103}, 'szpiro_ratio': 4.301306405389571, '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, -2, 0], 'aplist': [0, 0, 1, -1, -1, 2, 6, -2, -6, 0, -8, -4, -12, 4, 12, 0, 0, 2, -8, 12, 2, -14, 12, -6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 55440, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '55440.dd', 'trace_hash': 1407369519399897066}
• 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': '0.030556303083935013581486377094', 'prec': 107}, 'conductor': 55440, 'gens': [], 'heights': [], 'lmfdb_label': '55440.dd3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.48770710220051101008046125205', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9508284088020440403218450082081330906', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-419, 0, 1]], 'xcoord_integral_points': [-419]}
• 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.dd3'}
• ec_torsion_growth •

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

  
  
  • id: 2677485
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '55440.dd3', 'torsion': [6]}
  • id: 2677484
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 2]}
  • id: 2677486
    {'degree': 4, 'field': [25, -168, 32, 0, 1], 'lmfdb_label': '55440.dd3', 'torsion': [4]}
  • id: 2677487
    {'degree': 4, 'field': [286, -22, 23, -2, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 6]}
  • id: 2677488
    {'degree': 6, 'field': [3025, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '55440.dd3', 'torsion': [6]}
  • id: 2677491
    {'degree': 8, 'field': [1177, 968, -654, -588, 195, 116, -34, -4, 1], 'lmfdb_label': '55440.dd3', 'torsion': [12]}
  • id: 2677490
    {'degree': 8, 'field': [50176, -106064, 67888, -6000, 4096, -85, 87, -3, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 4]}
  • id: 2677489
    {'degree': 8, 'field': [469330, -86820, 54214, -4124, 2699, -28, 126, -4, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 4]}
  • id: 2677493
    {'degree': 12, 'field': [2916, 0, 1656, 0, -1635, 0, 130, 0, 15, 0, 6, 0, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 6]}
  • id: 2677492
    {'degree': 12, 'field': [11664, 0, 3996, 0, 1261, 0, -179, 0, -36, 0, 1, 0, 1], 'lmfdb_label': '55440.dd3', 'torsion': [3, 6]}
  • id: 2677496
    {'degree': 16, 'field': [13704436, 749848, 3280336, -565108, 5846029, -618308, -231588, 63136, 1996, -12280, 2822, 436, 584, -40, 40, -4, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 12]}
  • id: 2677495
    {'degree': 16, 'field': [112654201, 101806408, -48660024, -14441380, 27607023, -10407028, 2764260, -438384, 73352, -11592, 24010, -12056, 3163, -380, 34, -4, 1], 'lmfdb_label': '55440.dd3', 'torsion': [2, 12]}
  • id: 2677494
    {'degree': 16, 'field': [12195668356, 0, 3131883536, 0, 832384728, 0, -512176, 0, -3583608, 0, -213976, 0, -1372, 0, 96, 0, 1], 'lmfdb_label': '55440.dd3', 'torsion': [8]}
  • id: 2677497
    {'degree': 18, 'field': [-142457643, 0, 431936793, 0, 29940408, 0, -19917171, 0, -3103497, 0, 1223253, 0, -121533, 0, 5502, 0, -120, 0, 1], 'lmfdb_label': '55440.dd3', '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: 1332237
    {'conductor': 55440, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '55440.dd3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1332238
    {'conductor': 55440, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '55440.dd3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1332239
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55440.dd3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1332240
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '55440.dd3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1332241
    {'conductor': 55440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '55440.dd3', '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: 2032254
    {'adelic_gens': [[4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [5281, 12, 3966, 73], [1, 0, 12, 1], [9229, 12, 9228, 13], [5001, 6542, 2674, 4219], [1, 6, 6, 37], [6151, 9238, 1482, 9227], [1, 12, 0, 1], [10, 3, 1821, 9232]], 'adelic_image': '9240.96.1.?', 'conductor': 55440, 'lmfdb_label': '55440.dd3', 'prime': 0}
  • id: 235969
    {'conductor': 55440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '55440.dd3', 'modell_image': '2B', 'prime': 2}
  • id: 235970
    {'conductor': 55440, 'elladic_image': '3.4.0.1', 'lmfdb_label': '55440.dd3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 55440.dd does not appear in ec_padic