Elliptic curve data - 446160.fn4

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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': '446160fn', 'Clabel': '446160fn2', 'Cnumber': 2, 'abc_quality': 1.0278304524202422, 'absD': 7569208801440000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 5720, 'ainvs': [0, 1, 0, -557756, -160461300], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 446160, 'degree': 4718592, 'elladic_images': ['8.24.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0112892192269199402438114087', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 143, 'isogeny_degrees': [1, 2, 4], 'jinv': [15529488955216, 6125625], 'lmfdb_iso': '446160.fn', 'lmfdb_label': '446160.fn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3300, 74052], 'min_quad_twist_disc': -52, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.d.1', '40.48.0.r.2', '44.24.0.c.1', '52.24.0-4.b.1.1', '88.48.0.?', '104.48.0.?', '440.96.1.?', '520.96.0.?', '572.48.0.?', '1144.96.0.?', '5720.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 4, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '12.806510366044661136668420324', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 169], [3, 4, 148720], [5, 6, 89232], [11, 12, 40560], [13, 86, 2640]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26671642012285469927224627361', 'prec': 103}, 'szpiro_ratio': 3.9442595265428975, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, 1, -1, 0, -1, 0, -6, -4, 0, 6, -8, -6, -10, 4, -8, -10, -12, 6, -4, 0, 14, 0, 4, 6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 446160, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '446160.fn', 'trace_hash': 980112305659254500}
• 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': '0.017906733951833879463004374034', 'prec': 107}, 'conductor': 446160, 'gens': [[-434, 216, 1], [1162, 27600, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0742328057655983017904290490', 'prec': 100}, {'__RealLiteral__': 0, 'data': '4.2471345401018901985297436375', 'prec': 100}], 'lmfdb_label': '446160.fn4', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.17470233439569719291402253569', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '17.898618051285574813466157209427017993', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-438, 0, 1], [862, 0, 1]], 'xcoord_integral_points': [-438, -434, -425, 862, 1162, 1434, 3787, 6439]}
• lmfdb_label 446160.fn4 does not appear in ec_iwasawa
• lmfdb_label 446160.fn4 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: 11012526
    {'conductor': 446160, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '446160.fn4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11012527
    {'conductor': 446160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '446160.fn4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11012528
    {'conductor': 446160, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '446160.fn4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11012529
    {'conductor': 446160, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '446160.fn4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11012530
    {'conductor': 446160, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '446160.fn4', 'prime': 13, 'reduction_type': 0, '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: 4412164
    {'adelic_gens': [[4835, 3848, 858, 5381], [4447, 442, 4342, 4395], [3745, 5616, 4264, 1509], [3079, 0, 0, 5719], [1, 0, 8, 1], [5713, 8, 5712, 9], [5, 4, 5716, 5717], [1, 8, 0, 1], [4577, 1768, 2028, 1353]], 'adelic_image': '5720.192.1.?', 'conductor': 446160, 'lmfdb_label': '446160.fn4', 'prime': 0}
  • id: 1493901
    {'conductor': 446160, 'elladic_image': '8.24.0.15', 'lmfdb_label': '446160.fn4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 446160.fn does not appear in ec_padic