Elliptic curve data - 14450.v3

Formats: - HTML - YAML - JSON - 2026-09-14T16:28:37.378937

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '14450w', 'Clabel': '14450w2', 'Cnumber': 2, 'abc_quality': 0.9921013018955642, 'absD': 91034724567150156250000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, 0, 0, -17871188, 32499464992], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 14450, 'degree': 2211840, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1360695512331092318012006347', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-1673672305534489, 241375690000], 'lmfdb_iso': '14450.v', 'lmfdb_label': '14450.v3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2474, 52716], 'min_quad_twist_disc': 85, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '24.48.0.bh.1', '40.12.0-4.a.1.2', '60.48.0-12.d.1.12', '68.12.0.d.1', '120.96.0.?', '136.24.0.?', '204.48.1.?', '255.8.0.?', '408.192.3.?', '510.24.0.?', '680.48.0.?', '1020.96.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [5, 18, 578], [17, 162, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.91474392298795100437605365915', 'prec': 97}, 'szpiro_ratio': 6.465787063080183, '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, 1, -2, 1, 0, -2, 2, 1, 1, 0, -6, -2, -2, 2, 0, 1, 0, 1, 8, 0], 'aplist': [1, -2, 0, 2, -6, -2, 0, 8, -6, 6, -2, 2, 6, 4, -12, -6, 0, -2, -8, 6, 2, 10, -12, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 14450, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '14450.v', 'trace_hash': 517541512801027432}
• 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': '0.0018881852384870605789105963722', 'prec': 97}, 'conductor': 14450, 'gens': [], 'heights': [], 'lmfdb_label': '14450.v3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10368093474830500157590607009', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6588949559728800252144971214544882775', 'prec': 127}, 'tamagawa_product': 64, 'torsion_generators': [[-19777, 19777, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': [2, 0], '5': 'a', '17': 'a'}, 'iwp0': 5, 'lmfdb_label': '14450.v3'}
• ec_torsion_growth •

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

  
  
  • id: 745551
    {'degree': 2, 'field': [-21, -1, 1], 'lmfdb_label': '14450.v3', 'torsion': [6]}
  • id: 745550
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 2]}
  • id: 745552
    {'degree': 4, 'field': [-4, -9, -3, -1, 1], 'lmfdb_label': '14450.v3', 'torsion': [4]}
  • id: 745553
    {'degree': 4, 'field': [441, 0, 43, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 6]}
  • id: 745554
    {'degree': 6, 'field': [1566, -846, 30, -45, 25, -1, 1], 'lmfdb_label': '14450.v3', 'torsion': [6]}
  • id: 745557
    {'degree': 8, 'field': [1, 1, -7, 6, 8, -6, -7, -1, 1], 'lmfdb_label': '14450.v3', 'torsion': [12]}
  • id: 745556
    {'degree': 8, 'field': [16, 0, 57, 0, -17, 0, 7, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 4]}
  • id: 745555
    {'degree': 8, 'field': [746, -820, 1042, -424, 163, 56, -14, -4, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 4]}
  • id: 745558
    {'degree': 12, 'field': [2452356, -1324836, 668736, 115560, -76320, 39384, 3561, -1911, 550, 65, -24, -1, 1], 'lmfdb_label': '14450.v3', 'torsion': [3, 6]}
  • id: 745559
    {'degree': 12, 'field': [2452356, 0, 621756, 0, 3060, 0, -915, 0, 595, 0, -49, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 6]}
  • id: 745563
    {'degree': 16, 'field': [1, 0, 15, 0, 53, 0, 150, 0, 238, 0, 150, 0, 53, 0, 15, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 12]}
  • id: 745560
    {'degree': 16, 'field': [4096, 0, -9472, 0, 10212, 0, -5052, 0, 433, 0, 384, 0, 78, 0, -4, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [4, 4]}
  • id: 745561
    {'degree': 16, 'field': [4096, 0, 16848, 0, -7636, 0, -160, 0, -49, 0, 184, 0, -12, 0, -8, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [8]}
  • id: 745562
    {'degree': 16, 'field': [34225, 0, -73860, 0, 218094, 0, -166416, 0, 58035, 0, -10672, 0, 1054, 0, -52, 0, 1], 'lmfdb_label': '14450.v3', 'torsion': [2, 12]}
  • id: 745564
    {'degree': 18, 'field': [1124, 32620, -74132, 726, 41284, -5140, 27847, 22339, -58843, -16789, 32549, -20857, 4374, 534, -687, 158, -1, -6, 1], 'lmfdb_label': '14450.v3', 'torsion': [18]}
• 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: 318100
    {'conductor': 14450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '14450.v3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 318101
    {'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '14450.v3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 318102
    {'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '14450.v3', 'prime': 17, '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: 1760252
    {'adelic_gens': [[1021, 24, 6, 145], [1059, 2030, 1948, 1939], [2017, 24, 2016, 25], [13, 24, 1332, 733], [511, 24, 261, 145], [1, 24, 0, 1], [15, 16, 314, 335], [699, 16, 1846, 123], [1203, 2036, 1984, 67], [1, 0, 24, 1]], 'adelic_image': '2040.384.9.?', 'conductor': 14450, 'lmfdb_label': '14450.v3', 'prime': 0}
  • id: 68657
    {'conductor': 14450, 'elladic_image': '4.6.0.5', 'lmfdb_label': '14450.v3', 'modell_image': '2B', 'prime': 2}
  • id: 68658
    {'conductor': 14450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14450.v3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 14450.v does not appear in ec_padic