Elliptic curve data - 198550.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': '198550cd', 'Clabel': '198550cd2', 'Cnumber': 2, 'abc_quality': 0.9097126155621883, 'absD': 1998542253125000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 456, 'ainvs': [1, 1, 0, -90200, 10609000], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 19], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 198550, 'degree': 1283040, 'elladic_images': ['8.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7209326675543542090721329151', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 13, 'isogeny_degrees': [1, 3], 'jinv': [-575550732865, 14172488], 'lmfdb_iso': '198550.n', 'lmfdb_label': '198550.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3608, 84872], 'min_quad_twist_disc': 5, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '8.2.0.a.1', '24.8.0.a.1', '57.8.0-3.a.1.2', '456.16.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5310744699107765651218040323', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 9025], [3, 2, 9025], [5, 14, 7942], [11, 12, 18050], [19, 74, 550]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.15723422940388054933678878764', 'prec': 103}, 'szpiro_ratio': 3.7614075884818954, '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, -1, -1, 1, 0, 1, 2, -1, -2, 0, -1, -1, 4, -2, 0, 1, 3, 2, 0, 0], 'aplist': [-1, -1, 0, 2, -1, 4, 3, 0, 6, -6, 4, -8, 6, -4, 12, -12, 15, 8, 4, 0, -7, -8, -15, 9, 19], 'class_deg': 3, 'class_size': 2, 'conductor': 198550, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '198550.n', 'trace_hash': 932577710626263818}
• 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': '0.032004929694036400056929795461', 'prec': 107}, 'conductor': 198550, 'gens': [[10719, 369104, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5310744699107765651218040323', 'prec': 100}], 'lmfdb_label': '198550.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.46538400398248059034102652949', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1481471662647071222661909620237808520', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 198550.n1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8712704
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '198550.n1', 'torsion': [3]}
  • id: 8712705
    {'degree': 3, 'field': [-88, 32, -1, 1], 'lmfdb_label': '198550.n1', 'torsion': [2]}
  • id: 8712708
    {'degree': 6, 'field': [-25928, 10996, 1538, 141, 21, -1, 1], 'lmfdb_label': '198550.n1', 'torsion': [6]}
  • id: 8712706
    {'degree': 6, 'field': [9196, -4712, 1216, -248, 71, -2, 1], 'lmfdb_label': '198550.n1', 'torsion': [2, 2]}
  • id: 8712707
    {'degree': 6, 'field': [11875, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '198550.n1', 'torsion': [3]}
  • id: 8712709
    {'degree': 12, 'field': [-19418912, 0, -16964112, 0, 219488, 0, -89528, 0, 2014, 0, -133, 0, 1], 'lmfdb_label': '198550.n1', 'torsion': [4]}
  • id: 8712710
    {'degree': 12, 'field': [141039376, -71256, -178104, 474950, -178035, -71376, 23891, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '198550.n1', 'torsion': [3, 3]}
  • id: 8712711
    {'degree': 12, 'field': [585036544, -76315520, 82974408, -13607736, 7537010, -902968, 340013, -34174, 9457, -620, 135, -6, 1], 'lmfdb_label': '198550.n1', 'torsion': [2, 6]}
  • id: 8712712
    {'degree': 18, 'field': [-80990222024, 18728840856, 16814989902, -3240803603, 25198555098, -16197032310, -1695552538, 4362332877, -657734760, -326965469, 61939041, 12289137, -2180623, -245145, 36897, 2410, -306, -9, 1], 'lmfdb_label': '198550.n1', 'torsion': [9]}
  • id: 8712713
    {'degree': 18, 'field': [921167317, 0, 0, -2609078, 0, 0, 1222871, 0, 0, 44924, 0, 0, 6387, 0, 0, -102, 0, 0, 1], 'lmfdb_label': '198550.n1', 'torsion': [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: 4915066
    {'conductor': 198550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '198550.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4915067
    {'conductor': 198550, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '198550.n1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 4915068
    {'conductor': 198550, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '198550.n1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4915069
    {'conductor': 198550, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '198550.n1', 'prime': 19, 'reduction_type': 0, '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: 2936428
    {'adelic_gens': [[4, 3, 9, 7], [343, 6, 117, 19], [229, 6, 231, 19], [1, 6, 0, 1], [291, 2, 58, 7], [3, 4, 8, 11], [98, 363, 295, 235], [453, 454, 446, 449], [451, 6, 450, 7], [1, 0, 6, 1]], 'adelic_image': '456.16.0.?', 'conductor': 198550, 'lmfdb_label': '198550.n1', 'prime': 0}
  • id: 736978
    {'conductor': 198550, 'elladic_image': '8.2.0.1', 'lmfdb_label': '198550.n1', 'modell_image': '2G', 'prime': 2}
  • id: 736979
    {'conductor': 198550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '198550.n1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 198550.n does not appear in ec_padic