Elliptic curve data - 436800.kn2

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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': '436800kn', 'Clabel': '436800kn4', 'Cnumber': 4, 'abc_quality': 0.9880308093217611, 'absD': 1401241959936000000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [0, 1, 0, -81909633, -290987791137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 95551488, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4206427572512000770736373959', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 273, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-14837772556740428569, 342100087875000], 'lmfdb_iso': '436800.kn', 'lmfdb_label': '436800.kn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -51194, -4550524], 'min_quad_twist_disc': 40, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '56.6.0.b.1', '120.24.0.?', '168.24.0.?', '210.24.0.?', '260.6.0.?', '312.24.0.?', '780.24.0.?', '840.48.0.?', '1092.24.0.?', '1560.48.0.?', '2184.48.0.?', '3640.12.0.?', '5460.48.0.?', '10920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1163635540703763102941086493', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 4, 11200], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5762030301942319256474095471', 'prec': 100}, 'szpiro_ratio': 5.106250414827283, '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, -1, 0, 1, 0, -6, 0, 1, 0, 0, 0, 0, 0, -8, 0], 'aplist': [0, 1, 0, -1, -6, 1, 0, -8, 0, 6, 2, 2, 0, -10, 12, 12, 0, -2, -4, 0, -2, 8, -12, 0, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 436800, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '436800.kn', 'trace_hash': 782899075951278981}
• 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': '0.0010687286500199063599812868161', 'prec': 110}, 'conductor': 436800, 'gens': [[11723, 600000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1163635540703763102941086493', 'prec': 100}], 'lmfdb_label': '436800.kn2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.025057838618374470608219306453', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4965761613516217427269068778566849585', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[10473, 0, 1]], 'xcoord_integral_points': [10473, 11723, 208203]}
• lmfdb_label 436800.kn2 does not appear in ec_iwasawa
• lmfdb_label 436800.kn2 does not appear in ec_torsion_growth
• 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: 10788155
    {'conductor': 436800, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '436800.kn2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10788156
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '436800.kn2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10788157
    {'conductor': 436800, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '436800.kn2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10788158
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '436800.kn2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10788159
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '436800.kn2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
• ec_galrep •

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

  
  
  • id: 4358474
    {'adelic_gens': [[2183, 10908, 2178, 10847], [11, 2, 10870, 10911], [1570, 3, 7773, 10912], [1, 0, 12, 1], [10909, 12, 10908, 13], [1, 6, 6, 37], [3195, 5008, 3158, 4997], [10910, 10917, 5487, 8], [1, 12, 0, 1], [4201, 12, 3366, 73], [3641, 12, 9100, 1]], 'adelic_image': '10920.96.1.?', 'conductor': 436800, 'lmfdb_label': '436800.kn2', 'prime': 0}
  • id: 1467146
    {'conductor': 436800, 'elladic_image': '2.3.0.1', 'lmfdb_label': '436800.kn2', 'modell_image': '2B', 'prime': 2}
  • id: 1467147
    {'conductor': 436800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '436800.kn2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 436800.kn does not appear in ec_padic