Elliptic curve data - 1989.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
  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': '1989a', 'Clabel': '1989a2', 'Cnumber': 2, 'abc_quality': 0.9038476152848134, 'absD': 17969614533, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 884, 'ainvs': [1, -1, 0, -882, -7533], 'analytic_rank': 0, 'bad_primes': [3, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1989, 'degree': 1024, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67920257100535199162697639004', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [104154702625, 24649677], 'lmfdb_iso': '1989.d', 'lmfdb_label': '1989.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -98, 279], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '26.6.0.b.1', '68.6.0.c.1', '884.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 8, 221], [13, 14, 153], [17, 18, 117]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.12989642667129714592935377158', 'prec': 103}, 'szpiro_ratio': 4.207924588262667, '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, 1, 0, -1, 0, 0, -2, -3, 0, 0, 2, 0, -1, -2, 0, -1, -1, 0, 0, 0], 'aplist': [1, 0, 0, -2, 2, -1, -1, 0, 8, 6, 6, 4, 12, -4, 0, 6, 0, -2, 0, -10, -4, 12, 4, 10, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 1989, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1989.d', 'trace_hash': 1080638965554642923}
• 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': '0.25707044103540194163015985541', 'prec': 103}, 'conductor': 1989, 'gens': [], 'heights': [], 'lmfdb_label': '1989.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.89102036437871157524288752376', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7820407287574231504857750475226578823', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-93, 93, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '13': [0, 0], '17': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '1989.d1'}
• ec_torsion_growth •

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

  
  
  • id: 100556
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '1989.d1', 'torsion': [2, 2]}
  • id: 100557
    {'degree': 4, 'field': [468, 0, 45, 0, 1], 'lmfdb_label': '1989.d1', 'torsion': [4]}
  • id: 100560
    {'degree': 8, 'field': [-125, 137, -104, -67, 37, -7, 7, -4, 1], 'lmfdb_label': '1989.d1', 'torsion': [6]}
  • id: 100559
    {'degree': 8, 'field': [169, 0, 2873, 0, -546, 0, -13, 0, 1], 'lmfdb_label': '1989.d1', 'torsion': [2, 4]}
  • id: 100558
    {'degree': 8, 'field': [1296, 0, 1836, 0, 693, 0, 51, 0, 1], 'lmfdb_label': '1989.d1', 'torsion': [2, 4]}
  • id: 100562
    {'degree': 16, 'field': [17161, 0, -877736, 0, 43216, 0, 47785, 0, -15980, 0, -1805, 0, 361, 0, -26, 0, 1], 'lmfdb_label': '1989.d1', 'torsion': [2, 6]}
  • id: 100561
    {'degree': 16, 'field': [787026916, 0, -295760140, 0, -33901231, 0, 24997128, 0, 4029116, 0, -187980, 0, -880, 0, 92, 0, 1], 'lmfdb_label': '1989.d1', 'torsion': [8]}
• 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: 32537
    {'conductor': 1989, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '1989.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 32538
    {'conductor': 1989, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1989.d1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 32539
    {'conductor': 1989, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1989.d1', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1676944
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [881, 4, 880, 5], [105, 4, 210, 9], [342, 1, 271, 0], [665, 222, 220, 663]], 'adelic_image': '884.12.0.?', 'conductor': 1989, 'lmfdb_label': '1989.d1', 'prime': 0}
  • id: 9747
    {'conductor': 1989, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1989.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1989.d does not appear in ec_padic