Elliptic curve data - 124800.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': '124800u', 'Clabel': '124800u1', 'Cnumber': 1, 'abc_quality': 1.1592979456015535, 'absD': 249851628000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, -1, 0, -70083, -7077213], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 124800, 'degree': 516096, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5983346171860950058742216018', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [9517173136000, 62462907], 'lmfdb_iso': '124800.n', 'lmfdb_label': '124800.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2803, 57739], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '12.6.0.a.1', '24.12.0.w.1'], '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': False, 'serre_invariants': [[2, 2, 75], [3, 4, 41600], [5, 14, 4992], [7, 2, 41600], [13, 14, 9600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33151754059574794562902052088', 'prec': 103}, 'szpiro_ratio': 3.842178863048537, '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, 0, -1, 0, 0, 0, -2, 0, 1, 0, -4, 0, 1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, -2, -4, 1, 2, 4, 4, 0, -6, 2, -6, 0, 12, -8, -12, 6, 0, 12, -6, 14, -4, -18, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 124800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '124800.n', 'trace_hash': 2033541988482743936}
• 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': '0.040898199685476519063796990800', 'prec': 107}, 'conductor': 124800, 'gens': [], 'heights': [], 'lmfdb_label': '124800.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.29354021186518941838770401350', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1741608474607576735508160539958465849', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-143, 0, 1]], 'xcoord_integral_points': [-143]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '124800.n1'}
• ec_torsion_growth •

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

  
  
  • id: 5690220
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '124800.n1', 'torsion': [2, 2]}
  • id: 5690221
    {'degree': 4, 'field': [75, 0, -10, 0, 1], 'lmfdb_label': '124800.n1', 'torsion': [4]}
  • id: 5690224
    {'degree': 8, 'field': [-187500, 0, 34000, 0, -1500, 0, 0, 0, 1], 'lmfdb_label': '124800.n1', 'torsion': [6]}
  • id: 5690223
    {'degree': 8, 'field': [1, 0, -14, 0, -24, 0, -14, 0, 1], 'lmfdb_label': '124800.n1', 'torsion': [2, 4]}
  • id: 5690222
    {'degree': 8, 'field': [81, 180, 268, 164, 44, -4, -4, -4, 1], 'lmfdb_label': '124800.n1', 'torsion': [2, 4]}
  • id: 5690225
    {'degree': 16, 'field': [138039201, -58875408, -27404736, -1310016, 3598180, 1771440, 976704, -401344, -129018, 1104, 4224, -384, 1188, -112, 0, 0, 1], 'lmfdb_label': '124800.n1', 'torsion': [8]}
  • id: 5690226
    {'degree': 16, 'field': [9784968561, 0, -9099371496, 0, 1888197412, 0, -171349608, 0, 4991670, 0, 48488, 0, -2748, 0, -24, 0, 1], 'lmfdb_label': '124800.n1', 'torsion': [2, 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: 3074949
    {'conductor': 124800, 'conductor_valuation': 7, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '124800.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3074950
    {'conductor': 124800, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '124800.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3074951
    {'conductor': 124800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '124800.n1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3074952
    {'conductor': 124800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '124800.n1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2478223
    {'adelic_gens': [[1, 2, 2, 5], [13, 4, 2, 9], [21, 4, 20, 5], [3, 4, 8, 11], [4, 1, 17, 18], [1, 4, 0, 1], [10, 1, 7, 0], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 124800, 'lmfdb_label': '124800.n1', 'prime': 0}
  • id: 488285
    {'conductor': 124800, 'elladic_image': '8.6.0.4', 'lmfdb_label': '124800.n1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 124800.n does not appear in ec_padic