Elliptic curve data - 1440.d1

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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': '1440c', 'Clabel': '1440c2', 'Cnumber': 2, 'abc_quality': 0.9833739362865515, 'absD': 5598720, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1443, -21098], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1440, 'degree': 512, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42510871710318332656487933628', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [890277128, 15], 'lmfdb_iso': '1440.d', 'lmfdb_label': '1440.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -160, -728], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '24.24.0-24.y.1.8', '40.24.0-40.ba.1.14', '60.12.0-4.c.1.2', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64405781265083050119566737327', 'prec': 107}, 'szpiro_ratio': 4.597801152259032, '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, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -1, 0, 0, 2, -6, 4, 8, 2, -4, 10, -2, 4, 8, 2, 8, -2, 12, 8, -14, 12, -4, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 1440, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1440.d', 'trace_hash': 1074159292916609960}
• 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': '0.42732200742506027348495342818', 'prec': 103}, 'conductor': 1440, 'gens': [], 'heights': [], 'lmfdb_label': '1440.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.77461055584224754175277525166', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5492211116844950835055505033279854842', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-22, 0, 1]], 'xcoord_integral_points': [-22]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1440.d1'}
• ec_torsion_growth •

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

  
  
  • id: 71549
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [2, 2]}
  • id: 71551
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [4]}
  • id: 71550
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '1440.d1', 'torsion': [4]}
  • id: 71552
    {'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '1440.d1', 'torsion': [2, 4]}
  • id: 71556
    {'degree': 8, 'field': [-675, 0, 0, 0, -90, 0, -16, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [6]}
  • id: 71554
    {'degree': 8, 'field': [400, 0, -200, 0, 30, 0, 10, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [8]}
  • id: 71555
    {'degree': 8, 'field': [900, 0, 360, 0, 114, 0, 12, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [8]}
  • id: 71553
    {'degree': 8, 'field': [70756, 0, -6512, 0, -516, 0, -8, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [2, 4]}
  • id: 71562
    {'degree': 16, 'field': [36, 0, 144, 0, 144, 0, 312, 0, 996, 0, 1032, 0, 4, 0, 4, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [12]}
  • id: 71559
    {'degree': 16, 'field': [1926, 2160, 3996, -11712, 5662, -2664, 3612, 1340, -3793, 692, 1208, -412, -174, 84, 8, -8, 1], 'lmfdb_label': '1440.d1', 'torsion': [2, 8]}
  • id: 71560
    {'degree': 16, 'field': [65049, -29928, -98420, 39836, 80686, 24012, -35316, -6900, -1336, 904, -1372, 36, 390, -84, 16, -4, 1], 'lmfdb_label': '1440.d1', 'torsion': [2, 6]}
  • id: 71561
    {'degree': 16, 'field': [166464, 0, -83904, 0, 137200, 0, -20352, 0, 4125, 0, 368, 0, -138, 0, 0, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [12]}
  • id: 71558
    {'degree': 16, 'field': [467856, 0, -562464, 0, 227448, 0, -22896, 0, -5472, 0, 1368, 0, -18, 0, -12, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [2, 8]}
  • id: 71557
    {'degree': 16, 'field': [12960000, 0, -12960000, 0, 6480000, 0, -1890000, 0, 335025, 0, -31500, 0, 1800, 0, -60, 0, 1], 'lmfdb_label': '1440.d1', 'torsion': [4, 4]}
• 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: 21956
    {'conductor': 1440, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1440.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 21957
    {'conductor': 1440, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '1440.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 21958
    {'conductor': 1440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1440.d1', 'prime': 5, '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: 1673543
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [16, 83, 75, 76], [113, 8, 112, 9], [7, 6, 114, 115], [1, 4, 4, 17], [32, 117, 35, 118], [28, 1, 71, 6], [16, 83, 49, 78]], 'adelic_image': '120.48.0.?', 'conductor': 1440, 'lmfdb_label': '1440.d1', 'prime': 0}
  • id: 6930
    {'conductor': 1440, 'elladic_image': '8.12.0.7', 'lmfdb_label': '1440.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1440.d does not appear in ec_padic