Elliptic curve data - 1122.n1

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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': '1122n', 'Clabel': '1122n1', 'Cnumber': 1, 'abc_quality': 1.0840085613480437, 'absD': 610368, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, 0, 0, -196, -1072], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 1122, 'degree': 384, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.044367864067894191080711172780', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [832972004929, 610368], 'lmfdb_iso': '1122.n', 'lmfdb_label': '1122.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -196, -1072], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 33], [3, 4, 187], [11, 12, 102], [17, 18, 66]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.044367864067894191080711172780', 'prec': 107}, 'szpiro_ratio': 3.9084125651477173, '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, 1, 1, 4, 1, -2, 1, 1, 4, 1, 1, 0, -2, 4, 1, -1, 1, 0, 4], 'aplist': [1, 1, 4, -2, 1, 0, -1, 0, -6, -2, 4, 2, -6, -4, -6, 8, 8, -8, -4, -6, 10, -6, -4, -14, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 1122, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '1122.n', 'trace_hash': 1524023601037804543}
• 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': '0.91508737346869341104459455943', 'prec': 103}, 'conductor': 1122, 'gens': [], 'heights': [], 'lmfdb_label': '1122.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2759777451734644953787599553', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8279332355203934861362798659197276089', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-8, 4, 1]], 'xcoord_integral_points': [-8]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': [3, 0], '11': [1, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '1122.n1'}
• ec_torsion_growth •

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

  
  
  • id: 55704
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '1122.n1', 'torsion': [2, 2]}
  • id: 55705
    {'degree': 4, 'field': [2, 0, 1, -2, 1], 'lmfdb_label': '1122.n1', 'torsion': [4]}
  • id: 55708
    {'degree': 8, 'field': [-12, 0, 95, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '1122.n1', 'torsion': [6]}
  • id: 55707
    {'degree': 8, 'field': [256, 128, 16, 32, 42, -8, 1, -2, 1], 'lmfdb_label': '1122.n1', 'torsion': [2, 4]}
  • id: 55706
    {'degree': 8, 'field': [272424, 148800, 23742, 2460, -1025, -278, -6, -2, 1], 'lmfdb_label': '1122.n1', 'torsion': [2, 4]}
  • id: 55710
    {'degree': 16, 'field': [-6144, 24576, 92736, 106716, 27582, -47619, -47834, -11065, 7425, 5272, 617, -261, 26, 49, -9, -4, 1], 'lmfdb_label': '1122.n1', 'torsion': [2, 6]}
  • id: 55709
    {'degree': 16, 'field': [90721056, 75177408, -48233424, -48470928, 11372678, 13586672, -1609424, -2187728, 172755, 220272, -16000, -13888, 1162, 504, -52, -8, 1], 'lmfdb_label': '1122.n1', '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: 16330
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1122.n1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 16331
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1122.n1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 16332
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1122.n1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 16333
    {'conductor': 1122, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1122.n1', '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: 1671682
    {'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [26, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 1122, 'lmfdb_label': '1122.n1', 'prime': 0}
  • id: 5368
    {'conductor': 1122, 'elladic_image': '8.6.0.4', 'lmfdb_label': '1122.n1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 1122.n does not appear in ec_padic