Elliptic curve data - 1782.e1

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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': '1782d', 'Clabel': '1782d1', 'Cnumber': 1, 'abc_quality': 0.9046010623977492, 'absD': 431244, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 66, 'ainvs': [1, -1, 0, -18, 48], 'analytic_rank': 0, 'bad_primes': [2, 3, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1782, 'degree': 288, 'elladic_images': ['3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.21764218892898684055784673454', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 3], 'jinv': [-8214057, 5324], 'lmfdb_iso': '1782.e', 'lmfdb_label': '1782.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -18, 48], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.1'], 'modm_images': ['3.8.0-3.a.1.2', '22.2.0.a.1', '66.16.0-66.a.1.4'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 891], [3, 8, 2], [11, 12, 162]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.58384628515169007102292848018', 'prec': 107}, 'szpiro_ratio': 2.814408354055694, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, -1, 0, 1, 3, 0, 2, -1, 0, -3, 1, 0, -4, -2, 0, 1, 6, 0, 2, 3], 'aplist': [-1, 0, 3, 2, 1, -4, 6, 2, 0, 0, -1, -7, 12, 8, 9, 9, -9, 8, -7, -15, -10, -10, 0, -6, -19], 'class_deg': 3, 'class_size': 2, 'conductor': 1782, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1782.e', 'trace_hash': 1313848729204258031}
• 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': '1.5454024747137867496168096458', 'prec': 100}, 'conductor': 1782, 'gens': [], 'heights': [], 'lmfdb_label': '1782.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.7518329198766589083218814127', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8345552799177726055479209417972091002', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [[1, 5, 1]], 'xcoord_integral_points': [1]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '1782.e1'}
• ec_torsion_growth •

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

  
  
  • id: 90276
    {'degree': 3, 'field': [-1, 6, 0, 1], 'lmfdb_label': '1782.e1', 'torsion': [6]}
  • id: 90278
    {'degree': 6, 'field': [12, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1782.e1', 'torsion': [3, 3]}
  • id: 90277
    {'degree': 6, 'field': [44, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '1782.e1', 'torsion': [2, 6]}
  • id: 90279
    {'degree': 9, 'field': [-1184, -1296, -2592, -1620, 432, 432, -18, -36, 0, 1], 'lmfdb_label': '1782.e1', 'torsion': [9]}
  • id: 90280
    {'degree': 12, 'field': [-2816, 0, 2256, 0, -432, 0, 24, 0, 24, 0, -3, 0, 1], 'lmfdb_label': '1782.e1', 'torsion': [12]}
  • id: 90281
    {'degree': 18, 'field': [3952, -8640, 15624, -16800, 16704, -13842, 12399, -9279, 5625, -2584, 1377, -945, 372, 63, -81, -12, 27, -9, 1], 'lmfdb_label': '1782.e1', 'torsion': [3, 6]}
• 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: 28565
    {'conductor': 1782, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1782.e1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 28566
    {'conductor': 1782, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '1782.e1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 28567
    {'conductor': 1782, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1782.e1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1675655
    {'adelic_gens': [[61, 6, 60, 7], [1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [12, 61, 55, 45], [1, 6, 0, 1], [13, 6, 39, 19]], 'adelic_image': '66.16.0.?', 'conductor': 1782, 'lmfdb_label': '1782.e1', 'prime': 0}
  • id: 8730
    {'conductor': 1782, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1782.e1', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 1782.e does not appear in ec_padic