Elliptic curve data - 1440.j4

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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': '1440l', 'Clabel': '1440l4', 'Cnumber': 4, 'abc_quality': 0.9898700897490804, 'absD': 699840000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 0, 0, 213, -434], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1440, 'degree': 512, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38603827925095794139943996066', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 4], 'jinv': [2863288, 1875], 'lmfdb_iso': '1440.j', 'lmfdb_label': '1440.j4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 24, -24], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.v.1.2', '40.24.0-40.bb.1.15', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 160], [5, 6, 288]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68312825050305588636110674889', 'prec': 107}, 'szpiro_ratio': 3.808575663037037, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -4, 0, 2, 0, 0, 0, 2, 0, 8, 0], 'aplist': [0, 0, 1, 0, -4, 2, 2, 8, -4, 6, 0, 2, 6, 4, 12, 6, -12, 14, -12, 0, 2, -8, 4, -2, -14], '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.j', 'trace_hash': 1726445743844196779}
• 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': '0.46205259217530988472601688887', 'prec': 103}, 'conductor': 1440, 'gens': [], 'heights': [], 'lmfdb_label': '1440.j4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.91790705644622651172996696311', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8358141128924530234599339262117634941', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[17, 90, 1]], 'xcoord_integral_points': [2, 17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '1440.j4'}
• ec_torsion_growth •

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

  
  
  • id: 71912
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '1440.j4', 'torsion': [2, 4]}
  • id: 71913
    {'degree': 4, 'field': [-24, 0, 12, 0, 1], 'lmfdb_label': '1440.j4', 'torsion': [8]}
  • id: 71917
    {'degree': 8, 'field': [-47, -136, 100, 28, 2, -8, 4, -4, 1], 'lmfdb_label': '1440.j4', 'torsion': [12]}
  • id: 71914
    {'degree': 8, 'field': [25, 0, 76, 0, -6, 0, 4, 0, 1], 'lmfdb_label': '1440.j4', 'torsion': [4, 4]}
  • id: 71916
    {'degree': 8, 'field': [1296, 0, 720, 0, 178, 0, 20, 0, 1], 'lmfdb_label': '1440.j4', 'torsion': [2, 8]}
  • id: 71915
    {'degree': 8, 'field': [1465, 140, -524, 20, 136, -28, 4, -4, 1], 'lmfdb_label': '1440.j4', 'torsion': [2, 8]}
  • id: 71918
    {'degree': 16, 'field': [3600, 0, -14400, 0, 10080, 0, -1440, 0, 456, 0, -336, 0, -24, 0, 24, 0, 1], 'lmfdb_label': '1440.j4', 'torsion': [16]}
  • id: 71919
    {'degree': 16, 'field': [8100, 0, 43200, 0, 40320, 0, 13176, 0, 972, 0, -144, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '1440.j4', 'torsion': [2, 12]}
• 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: 22052
    {'conductor': 1440, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1440.j4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 22053
    {'conductor': 1440, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '1440.j4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 22054
    {'conductor': 1440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1440.j4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1673564
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [113, 108, 110, 47], [76, 119, 17, 114], [113, 8, 112, 9], [7, 6, 114, 115], [97, 8, 28, 33], [1, 4, 4, 17], [16, 83, 49, 78]], 'adelic_image': '120.48.0.?', 'conductor': 1440, 'lmfdb_label': '1440.j4', 'prime': 0}
  • id: 6951
    {'conductor': 1440, 'elladic_image': '4.12.0.7', 'lmfdb_label': '1440.j4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1440.j does not appear in ec_padic