Elliptic curve data - 262080.jw5

Formats: - HTML - YAML - JSON - 2025-10-24T18:45:46.714687

• 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': '262080jw', 'Clabel': '262080jw2', 'Cnumber': 2, 'abc_quality': 1.0081936394487907, 'absD': 210017359109711462400, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 21840, 'ainvs': [0, 0, 0, -201277452, -1099108876304], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 262080, 'degree': 25165824, 'elladic_images': ['16.48.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2793044365644910593432703763', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 256, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [4718909406724749250561, 1098974822400], 'lmfdb_iso': '262080.jw', 'lmfdb_label': '262080.jw5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -349440, 79361697], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.i.1', '16.48.0.d.2', '24.48.0-8.i.1.3', '48.96.0-16.d.2.5', '56.48.0.ba.2', '112.96.1.?', '168.96.0.?', '336.192.1.?', '520.48.0.?', '1040.192.5.?', '1560.96.0.?', '1820.24.0.?', '3120.384.5.?', '3640.96.1.?', '7280.384.13.?', '10920.192.1.?', '21840.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '29.030315892707618094926115188', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9], [3, 8, 29120], [5, 6, 52416], [7, 8, 37440], [13, 14, 20160]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6902775213905182495197995757', 'prec': 100}, 'szpiro_ratio': 5.528370328604079, '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, 0, 0, 1, 0, -1, 0, 0, 0, 4, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 1, -1, 4, -1, -2, 4, 0, -2, 8, -6, 6, -4, 0, 6, -12, 2, -4, 0, 10, 0, 4, -10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 262080, 'isogeny_matrix': [[1, 16, 2, 4, 8, 8, 16, 4], [16, 1, 8, 4, 2, 8, 4, 16], [2, 8, 1, 2, 4, 4, 8, 2], [4, 4, 2, 1, 2, 2, 4, 4], [8, 2, 4, 2, 1, 4, 2, 8], [8, 8, 4, 2, 4, 1, 8, 8], [16, 4, 8, 4, 2, 8, 1, 16], [4, 16, 2, 4, 8, 8, 16, 1]], 'lmfdb_iso': '262080.jw', 'trace_hash': 2025508258210571421}
• 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': '0.0014178567576753380662829096665', 'prec': 110}, 'conductor': 262080, 'gens': [[-579906252210103, 8813638942463363355, 266074]], 'heights': [{'__RealLiteral__': 0, 'data': '29.030315892707618094926115188', 'prec': 100}], 'lmfdb_label': '262080.jw5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.040082128798224308707920854722', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.3087748853171588006804115141881528475', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-8188, 0, 1], [16382, 0, 1]], 'xcoord_integral_points': [-8194, -8188, 16382]}
• lmfdb_label 262080.jw5 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11236529
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 4]}
  • id: 11236532
    {'degree': 4, 'field': [490, 20, -19, -2, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 8]}
  • id: 11236530
    {'degree': 4, 'field': [14394, -216, 217, -2, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 4]}
  • id: 11236531
    {'degree': 4, 'field': [201601, 0, -922, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 4]}
  • id: 11236536
    {'degree': 8, 'field': [-37632, 0, -1770, 0, 612, 0, -4, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 6]}
  • id: 11236534
    {'degree': 8, 'field': [106, 148, -106, -92, 67, -28, 14, -4, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 8]}
  • id: 11236535
    {'degree': 8, 'field': [39016, -16, 7708, 40, 546, 20, -23, -2, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 16]}
  • id: 11236533
    {'degree': 8, 'field': [169125930, 466380, -5887854, -2736, 77539, -12, -454, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [4, 4]}
  • id: 11236541
    {'degree': 16, 'field': [1245456, 0, 10546632, 0, 657108, 0, -62856, 0, 52020, 0, -3036, 0, 288, 0, 12, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 12]}
  • id: 11236537
    {'degree': 16, 'field': [11532816, 0, 88901520, 0, 258741196, 0, 5163340, 0, -1078959, 0, -3640, 0, 966, 0, -20, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 8]}
  • id: 11236538
    {'degree': 16, 'field': [1341024400, 0, -1829998800, 0, 447386860, 0, 56072940, 0, 1769841, 0, 12936, 0, -314, 0, -84, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 8]}
  • id: 11236539
    {'degree': 16, 'field': [11404958436, 0, -4277792088, 0, 662248512, 0, -62407188, 0, 4351813, 0, -209264, 0, 6378, 0, -116, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [4, 8]}
  • id: 11236540
    {'degree': 16, 'field': [179604449264410, -1951370979780, -20803726937310, 45751555440, 1093415706551, 1808513004, -34182855074, -75632544, 695455137, 931236, -9376874, -2832, 81669, -12, -422, 0, 1], 'lmfdb_label': '262080.jw5', 'torsion': [2, 16]}
• 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: 6499183
    {'conductor': 262080, 'conductor_valuation': 6, 'discriminant_valuation': 34, 'j_denominator_valuation': 16, 'kodaira_symbol': -28, 'lmfdb_label': '262080.jw5', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 6499184
    {'conductor': 262080, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '262080.jw5', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6499185
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.jw5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6499186
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.jw5', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6499187
    {'conductor': 262080, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '262080.jw5', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 3324255
    {'adelic_gens': [[17365, 14568, 19518, 21709], [1, 16, 0, 1], [21825, 16, 21824, 17], [4381, 14568, 14490, 7237], [14555, 14544, 14556, 16367], [1, 0, 16, 1], [18721, 7296, 3126, 97], [1, 16, 4, 65], [14575, 7296, 14784, 21169], [7279, 0, 0, 21839]], 'adelic_image': '21840.768.13.?', 'conductor': 262080, 'lmfdb_label': '262080.jw5', 'prime': 0}
  • id: 941055
    {'conductor': 262080, 'elladic_image': '16.48.0.3', 'lmfdb_label': '262080.jw5', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 262080.jw does not appear in ec_padic