Elliptic curve data - 1600.n2

Formats: - HTML - YAML - JSON - 2026-06-23T09:57:50.495148

• 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': '1600o', 'Clabel': '1600o4', 'Cnumber': 4, 'abc_quality': 1.172456969504371, 'absD': 512000000, 'ainvs': [0, 0, 0, -1100, 14000], 'analytic_rank': 0, 'bad_primes': [2, 5], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 1600, 'degree': 512, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53390680114545863317395276550', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '1600.n', 'lmfdb_label': '1600.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': -40, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 14, 64]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670529', 'prec': 103}, 'szpiro_ratio': 4.421776289369018, '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, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 0, 0, 0, 6, -2, 0, 0, 10, 0, -2, 10, 0, 0, 14, 0, 10, 0, 0, 6, 0, 0, 10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 1600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1600.n', 'trace_hash': 159245006972566889}
• 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': '0.34375929090101864137450478899', 'prec': 103}, 'conductor': 1600, 'gens': [], 'heights': [], 'lmfdb_label': '1600.n2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.6583348055227415780261512254', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6583348055227415780261512253933248531', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[20, 0, 1]], 'xcoord_integral_points': [20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a'}, 'iwp0': 3, 'lmfdb_label': '1600.n2'}
• ec_torsion_growth •

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

  
  
  • id: 79963
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [4]}
  • id: 79961
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 2]}
  • id: 79962
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '1600.n2', 'torsion': [4]}
  • id: 79964
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 4]}
  • id: 79968
    {'degree': 8, 'field': [-1875, 0, 0, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [6]}
  • id: 79966
    {'degree': 8, 'field': [4, 0, -24, 0, 30, 0, -12, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 8]}
  • id: 79967
    {'degree': 8, 'field': [41, -108, 140, -132, 96, -44, 20, -4, 1], 'lmfdb_label': '1600.n2', 'torsion': [8]}
  • id: 79965
    {'degree': 8, 'field': [49, 0, -52, 0, 20, 0, -4, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 4]}
  • id: 79969
    {'degree': 8, 'field': [125, 0, 0, 0, 10, 0, 0, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [10]}
  • id: 79974
    {'degree': 16, 'field': [-5186, 11640, 10052, -30336, 10600, 5784, 1508, -3720, 148, 180, 104, -24, 46, -24, -4, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 6]}
  • id: 79979
    {'degree': 16, 'field': [1, -12, 64, -172, 214, -40, 0, -244, 308, -132, 64, -68, 26, 0, 4, -4, 1], 'lmfdb_label': '1600.n2', 'torsion': [20]}
  • id: 79975
    {'degree': 16, 'field': [1, -12, 68, -252, 666, -1248, 1748, -1964, 1804, -1364, 884, -460, 214, -72, 24, -4, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 10]}
  • id: 79970
    {'degree': 16, 'field': [1, 0, -12, 0, 72, 0, -168, 0, 223, 0, -168, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [4, 4]}
  • id: 79973
    {'degree': 16, 'field': [1, 0, 0, 0, -18, 0, 0, 0, -41, 0, 0, 0, -2, 0, 0, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [20]}
  • id: 79971
    {'degree': 16, 'field': [1, 0, 0, 0, 42, 0, 0, 0, 83, 0, 0, 0, 42, 0, 0, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [2, 8]}
  • id: 79976
    {'degree': 16, 'field': [9, 0, 0, 0, 126, 0, 0, 0, -105, 0, 0, 0, -42, 0, 0, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [12]}
  • id: 79977
    {'degree': 16, 'field': [25, 0, 0, 0, 30, 0, 0, 0, 39, 0, 0, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '1600.n2', 'torsion': [20]}
  • id: 79978
    {'degree': 16, 'field': [681, -3540, 6084, 300, -10890, 8112, 4968, -7620, 28, 3068, -572, -676, 166, 80, -20, -4, 1], 'lmfdb_label': '1600.n2', 'torsion': [12]}
  • id: 79972
    {'degree': 16, 'field': [256036, 68816, 193640, 91968, 39512, -50336, -27632, -7560, 10450, 1248, 760, -1228, 56, 96, 2, -8, 1], 'lmfdb_label': '1600.n2', 'torsion': [3, 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: 24983
    {'conductor': 1600, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '1600.n2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 24984
    {'conductor': 1600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '1600.n2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• lmfdb_label 1600.n2 does not appear in ec_galrep
• lmfdb_iso 1600.n does not appear in ec_padic