Elliptic curve data - 369600.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '369600n', 'Clabel': '369600n1', 'Cnumber': 1, 'abc_quality': 1.059632527116896, 'absD': 3369075773680108800000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 154, 'ainvs': [0, -1, 0, -207143333, 1144170767037], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 369600, 'degree': 94003200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5697869193440621840981943233', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [153587764760452480000, 526418089637517], 'lmfdb_iso': '369600.n', 'lmfdb_label': '369600.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2071433, -1144792197], 'min_quad_twist_disc': -40, 'modell_images': [], 'modm_images': ['154.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.045159792302983854069454737', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6881566004013924067109172928', 'prec': 100}, 'szpiro_ratio': 5.3868499409935255, '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, -1, 0, 0, 0, -1, 0, 1, 0, -1, 0, -5, 0, 0, 0, -3, 0, 7, 0], 'aplist': [0, -1, 0, -1, -1, -5, -3, 7, -4, 4, 6, 7, -3, -8, -12, -7, 0, -7, -9, 7, 7, -10, 4, 6, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 369600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '369600.n', 'trace_hash': 914152347502769196}
• 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': '0.00079309000873734535901247356525', 'prec': 113}, 'conductor': 369600, 'gens': [[31508, 344922075, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '10.045159792302983854069454737', 'prec': 100}], 'lmfdb_label': '369600.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.079700518935320556104997958239', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8036266894085880152921875865846306272', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 369600.n1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15337421
    {'degree': 3, 'field': [-30, -20, 0, 1], 'lmfdb_label': '369600.n1', 'torsion': [2]}
  • id: 15337422
    {'degree': 6, 'field': [-77, -77, 58, 37, -16, -3, 1], 'lmfdb_label': '369600.n1', 'torsion': [2, 2]}
  • id: 15337423
    {'degree': 8, 'field': [-30000, 0, -800, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '369600.n1', 'torsion': [3]}
  • id: 15337424
    {'degree': 12, 'field': [77, 0, 1140, 0, -1873, 0, -300, 0, -41, 0, 0, 0, 1], 'lmfdb_label': '369600.n1', 'torsion': [4]}
• 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: 9141017
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '369600.n1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9141018
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '369600.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9141019
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '369600.n1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 9141020
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '369600.n1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9141021
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '369600.n1', 'prime': 11, '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

  
  {'adelic_gens': [[1, 2, 0, 1], [1, 0, 2, 1], [45, 2, 45, 3], [153, 2, 152, 3], [57, 2, 57, 3], [1, 1, 153, 0]], 'adelic_image': '154.2.0.?', 'conductor': 369600, 'lmfdb_label': '369600.n1', 'prime': 0}
• lmfdb_iso 369600.n does not appear in ec_padic