Elliptic curve data - 160560.n1

Formats: - HTML - YAML - JSON - 2026-02-26T11:38:49.957086

• 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': '160560ci', 'Clabel': '160560ci2', 'Cnumber': 2, 'abc_quality': 0.8356940745618958, 'absD': 963360000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2676, 'ainvs': [0, 0, 0, -3543, 81158], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 223], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 160560, 'degree': 132096, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72336669622329982642894167670', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [711595904112, 139375], 'lmfdb_iso': '160560.n', 'lmfdb_label': '160560.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -3543, -81158], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '892.6.0.?', '1338.6.0.?', '2676.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 669], [3, 6, 17840], [5, 6, 32112], [223, 224, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.013384496317024469364691046836', 'prec': 110}, 'szpiro_ratio': 3.014393067652238, '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, -1, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, -4, 0], 'aplist': [0, 0, -1, 0, 0, 6, 8, -4, 8, -8, 0, -2, 8, -4, 2, -8, 0, 14, 8, 12, 6, 4, -6, -8, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 160560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '160560.n', 'trace_hash': 2097432600732289358}
• 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': '0.23533779005004851863528169731', 'prec': 103}, 'conductor': 160560, 'gens': [], 'heights': [], 'lmfdb_label': '160560.n1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5212121702025900821738037587', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0424243404051801643476075174010860478', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[34, 0, 1]], 'xcoord_integral_points': [34]}
• lmfdb_label 160560.n1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7181583
    {'degree': 2, 'field': [-167, -1, 1], 'lmfdb_label': '160560.n1', 'torsion': [2, 2]}
  • id: 7181584
    {'degree': 4, 'field': [43, 8, -12, -1, 1], 'lmfdb_label': '160560.n1', 'torsion': [4]}
  • id: 7181587
    {'degree': 8, 'field': [-149187, 0, 0, 0, 1338, 0, -68, 0, 1], 'lmfdb_label': '160560.n1', 'torsion': [6]}
  • id: 7181585
    {'degree': 8, 'field': [21609, 0, -21438, 0, -5565, 0, -18, 0, 1], 'lmfdb_label': '160560.n1', 'torsion': [2, 4]}
  • id: 7181586
    {'degree': 8, 'field': [21609, 0, 1323, 0, 228, 0, -9, 0, 1], 'lmfdb_label': '160560.n1', 'torsion': [2, 4]}
  • id: 7181588
    {'degree': 16, 'field': [30785096671, -5271052444, -10772662044, -1461473024, 3074381543, 688153152, -422297510, -72681688, 31656681, 3403568, -1214894, -80304, 24395, 916, -246, -4, 1], 'lmfdb_label': '160560.n1', 'torsion': [8]}
  • id: 7181589
    {'degree': 16, 'field': [154713559365, -8077702338, -40448079270, 566523558, 4155702624, -602525232, 53229108, 77494350, -32900235, 2119440, 889020, -163326, 220, 2086, -142, -4, 1], 'lmfdb_label': '160560.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: 3973007
    {'conductor': 160560, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '160560.n1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3973008
    {'conductor': 160560, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '160560.n1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3973009
    {'conductor': 160560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '160560.n1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3973010
    {'conductor': 160560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '160560.n1', 'prime': 223, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2702629
    {'adelic_gens': [[1, 0, 4, 1], [2673, 4, 2672, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2009, 670, 668, 2007], [1790, 1, 443, 0], [896, 1, 1783, 0]], 'adelic_image': '2676.12.0.?', 'conductor': 160560, 'lmfdb_label': '160560.n1', 'prime': 0}
  • id: 611392
    {'conductor': 160560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '160560.n1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 160560.n does not appear in ec_padic