Elliptic curve data - 348816.n2

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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': '348816n', 'Clabel': '348816n1', 'Cnumber': 1, 'abc_quality': 0.9966384920336764, 'absD': 30461917649505878016, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 46956, 'ainvs': [0, -1, 0, 429880, -242516496], 'analytic_rank': 0, 'bad_primes': [2, 3, 13, 43], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 348816, 'degree': 7112448, 'elladic_images': ['7.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4215887824215963963396134813', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 7], 'jinv': [444369620591, 1540767744], 'lmfdb_iso': '348816.n', 'lmfdb_label': '348816.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 159, 1737], 'min_quad_twist_disc': -52, 'modell_images': ['7B.6.1'], 'modm_images': ['7.24.0.a.1', '364.48.0.?', '516.2.0.?', '3612.48.2.?', '23478.48.0.?', '46956.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44596692313088271889563763906', 'prec': 103}, 'szpiro_ratio': 4.085088479160678, '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, 1, 0, 1, 0, 1, 0, 5, 0, 0, 0, -1, 0, 4, 0, -1, 0], 'aplist': [0, -1, 1, 1, 5, 0, 4, -1, 4, -5, -10, -10, 0, -1, -1, 12, 4, -8, -2, -12, -4, -10, -7, -6, 7], 'class_deg': 7, 'class_size': 2, 'conductor': 348816, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '348816.n', 'trace_hash': 846735150216933102}
• 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': '0.0078819687508178007300579760434', 'prec': 110}, 'conductor': 348816, 'gens': [], 'heights': [], 'lmfdb_label': '348816.n2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10642922716796229388232068023', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9157260890233212898817722440658324759', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 348816.n2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14569749
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '348816.n2', 'torsion': [7]}
  • id: 14569750
    {'degree': 3, 'field': [-9, 1, -1, 1], 'lmfdb_label': '348816.n2', 'torsion': [2]}
  • id: 14569751
    {'degree': 6, 'field': [144, 72, 114, 18, 7, -2, 1], 'lmfdb_label': '348816.n2', 'torsion': [2, 2]}
  • id: 14569752
    {'degree': 6, 'field': [2744, 196, 385, -90, 2, -2, 1], 'lmfdb_label': '348816.n2', 'torsion': [14]}
  • id: 14569753
    {'degree': 8, 'field': [84828, 110964, 32078, 7776, 1140, -38, -48, 0, 1], 'lmfdb_label': '348816.n2', 'torsion': [3]}
  • id: 14569754
    {'degree': 12, 'field': [-1753821, -2280799, -830043, 333140, 284929, 62451, 36040, -5989, 2355, -40, 43, -3, 1], 'lmfdb_label': '348816.n2', 'torsion': [4]}
  • id: 14569755
    {'degree': 12, 'field': [10609, 0, 18965, 0, 15030, 0, 5617, 0, 918, 0, 53, 0, 1], 'lmfdb_label': '348816.n2', 'torsion': [2, 14]}
  • id: 14569756
    {'degree': 16, 'field': [830131344, 0, -33882912, 0, -15433628, 0, 691488, 0, 377976, 0, -72, 0, 552, 0, 0, 0, 1], 'lmfdb_label': '348816.n2', 'torsion': [21]}
• 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: 8637395
    {'conductor': 348816, 'conductor_valuation': 4, 'discriminant_valuation': 26, 'j_denominator_valuation': 14, 'kodaira_symbol': -22, 'lmfdb_label': '348816.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8637396
    {'conductor': 348816, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '348816.n2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8637397
    {'conductor': 348816, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '348816.n2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8637398
    {'conductor': 348816, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '348816.n2', 'prime': 43, '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

  
  
  • id: 3842844
    {'adelic_gens': [[25283, 0, 0, 46955], [23477, 21658, 34307, 10737], [1, 14, 0, 1], [23479, 25298, 0, 30187], [36037, 25298, 6643, 36219], [1, 0, 14, 1], [8, 5, 91, 57], [46943, 14, 46942, 15], [15653, 25298, 4823, 36219]], 'adelic_image': '46956.96.2.?', 'conductor': 348816, 'lmfdb_label': '348816.n2', 'prime': 0}
  • id: 1208102
    {'conductor': 348816, 'elladic_image': '7.24.0.1', 'lmfdb_label': '348816.n2', 'modell_image': '7B.6.1', 'prime': 7}
• lmfdb_iso 348816.n does not appear in ec_padic