Elliptic curve data - 405.d1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '405a', 'Clabel': '405a2', 'Cnumber': 2, 'absD': 2657205, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 30, 'ainvs': [0, 0, 1, -162, -790], 'analytic_rank': 0, 'bad_primes': [3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 405, 'degree': 72, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.074670284393694501400221074144', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [884736, 5], 'lmfdb_iso': '405.d', 'lmfdb_label': '405.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, -162, -790], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['1.1.0.1', '3.8.0.2', '10.2.0.1', '30.16.0.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, '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': '-1.0239420042744151899950241628', 'prec': 103}, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -2, 1, 0, 2, 0, 0, 0, 3, 0, -4, 0, 0, 4, 6, 0, -1, -2], 'aplist': [0, 0, 1, 2, 3, -4, 6, -1, 6, 9, -1, 8, -3, -4, -12, -6, -3, -10, 14, 3, 2, -16, 12, -15, -4], 'class_deg': 3, 'class_size': 2, 'conductor': 405, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '405.d', 'trace_hash': 2229571459621907457}
• 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': '0.86127574131002466915343499942', 'prec': 103}, 'conductor': 405, 'gens': [], 'heights': [], 'lmfdb_label': '405.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3386547800262400632534671724', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3386547800262400632534671724484914332', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 3, 0], '3': 'a', '5': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '405.d1'}
• ec_torsion_growth •

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

  
  
  • id: 17717
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '405.d1', 'torsion': [3]}
  • id: 17718
    {'degree': 3, 'field': [-14, -12, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [2]}
  • id: 17719
    {'degree': 3, 'field': [-5, 0, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [3]}
  • id: 17720
    {'degree': 6, 'field': [-20, 0, 36, 0, -12, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [2, 2]}
  • id: 17722
    {'degree': 6, 'field': [12, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [6]}
  • id: 17721
    {'degree': 6, 'field': [36, -18, -9, 3, 6, -3, 1], 'lmfdb_label': '405.d1', 'torsion': [3, 3]}
  • id: 17723
    {'degree': 9, 'field': [-64, -96, -288, -300, -132, -108, -12, -6, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [6]}
  • id: 17724
    {'degree': 12, 'field': [20, 0, 24, 0, -108, 0, 48, 0, 12, 0, -12, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [4]}
  • id: 17725
    {'degree': 12, 'field': [64, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [2, 6]}
  • id: 17728
    {'degree': 18, 'field': [-13955, 67845, -109455, 57090, 8310, -16080, 14334, -1356, -8493, 985, -1245, 2004, 474, -408, -30, 30, -3, -3, 1], 'lmfdb_label': '405.d1', 'torsion': [2, 6]}
  • id: 17727
    {'degree': 18, 'field': [1831, -4377, 1317, 5112, 7278, -37554, 72990, -92664, 88101, -67447, 42459, -22416, 10002, -3738, 1182, -300, 63, -9, 1], 'lmfdb_label': '405.d1', 'torsion': [3, 6]}
  • id: 17726
    {'degree': 18, 'field': [3303, 8424, 13284, 15660, 11556, 162, -4617, 972, 5346, 960, -1836, -540, 387, 72, -54, -9, 0, 0, 1], 'lmfdb_label': '405.d1', 'torsion': [9]}
• 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: 4167
    {'conductor': 405, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '405.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4168
    {'conductor': 405, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '405.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: 1667545
    {'adelic_gens': [[24, 29, 5, 9], [1, 0, 6, 1], [4, 3, 9, 7], [7, 6, 21, 19], [25, 6, 24, 7], [3, 4, 8, 11], [1, 6, 0, 1]], 'adelic_image': '30.16.0.?', 'conductor': 405, 'lmfdb_label': '405.d1', 'prime': 0}
  • id: 1747
    {'conductor': 405, 'elladic_image': '3.8.0.2', 'lmfdb_label': '405.d1', 'modell_image': '3B.1.2', 'prime': 3}
• lmfdb_iso 405.d does not appear in ec_padic