Elliptic curve data - 348480.dy2

Formats: - HTML - YAML - JSON - 2025-11-03T21:40:51.197267

• 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': '348480dy', 'Clabel': '348480dy1', 'Cnumber': 1, 'abc_quality': 1.0570730436530982, 'absD': 130231327260672000, 'adelic_genus': 5, 'adelic_index': 144, 'adelic_level': 660, 'ainvs': [0, 0, 0, -118668, -23431408], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 348480, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9840147492979224375506891022', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2], 'jinv': [-726572699, 512000], 'lmfdb_iso': '348480.dy', 'lmfdb_label': '348480.dy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -206, -1781], 'min_quad_twist_disc': 24, 'modell_images': ['2B', '3Ns'], 'modm_images': ['2.3.0.a.1', '3.6.0.b.1', '6.18.0.b.1', '12.36.0.c.1', '20.6.0.e.1', '30.36.0.d.1', '33.12.0.a.1', '44.6.0.b.1', '60.72.1.eu.1', '66.36.0.a.1', '110.6.0.?', '132.72.1.?', '220.12.0.?', '330.72.1.?', '660.144.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.1447756590019096227734024739', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 495], [3, 2, 7744], [5, 6, 69696], [11, 42, 2880]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20448598407564300828826759294', 'prec': 107}, 'szpiro_ratio': 3.719228214129504, '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, -6, 0, 0, 0], 'aplist': [0, 0, -1, 0, 0, -6, -6, 0, -6, 0, -4, 2, -12, -12, 6, 6, 0, 0, -14, 0, 6, 12, 12, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 348480, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '348480.dy', 'trace_hash': 647896086006212537}
• 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': '0.018910659927323072763134898812', 'prec': 107}, 'conductor': 348480, 'gens': [[12397, 1379763, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.1447756590019096227734024739', 'prec': 100}], 'lmfdb_label': '348480.dy2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12473509942140347300790346137', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5648172086769068582057195970136205789', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[418, 0, 1]], 'xcoord_integral_points': [418, 12397]}
• lmfdb_label 348480.dy2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14551751
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '348480.dy2', 'torsion': [2, 2]}
  • id: 14551752
    {'degree': 4, 'field': [-495, 0, -132, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [4]}
  • id: 14551753
    {'degree': 4, 'field': [-176, 0, -22, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [6]}
  • id: 14551754
    {'degree': 4, 'field': [132, 0, 22, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [6]}
  • id: 14551758
    {'degree': 8, 'field': [11344, -20144, 20174, -32, -53, 80, -22, -4, 1], 'lmfdb_label': '348480.dy2', 'torsion': [2, 6]}
  • id: 14551757
    {'degree': 8, 'field': [17424, 0, -2904, 0, 352, 0, -22, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [3, 6]}
  • id: 14551759
    {'degree': 8, 'field': [27611, -6860, 7592, -1504, 853, -124, 46, -4, 1], 'lmfdb_label': '348480.dy2', 'torsion': [2, 6]}
  • id: 14551756
    {'degree': 8, 'field': [2241946, 233016, -224725, -16456, 7914, 374, -120, -4, 1], 'lmfdb_label': '348480.dy2', 'torsion': [2, 4]}
  • id: 14551755
    {'degree': 8, 'field': [2353156, 0, 239484, 0, 8357, 0, 126, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [2, 4]}
  • id: 14551760
    {'degree': 16, 'field': [-121998368, 105271488, 13471136, 4248576, -6072320, -2662912, -1335568, -123120, -52068, 27520, 1040, 1856, -160, -88, -16, -4, 1], 'lmfdb_label': '348480.dy2', 'torsion': [8]}
  • id: 14551763
    {'degree': 16, 'field': [176740, -841240, 745924, 799360, 418402, 31288, -107554, -18924, 14455, 5780, 196, -284, 135, -68, 6, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [12]}
  • id: 14551762
    {'degree': 16, 'field': [937024, 0, 702768, 0, -613591, 0, 90508, 0, 23232, 0, -8228, 0, 792, 0, -44, 0, 1], 'lmfdb_label': '348480.dy2', 'torsion': [12]}
  • id: 14551761
    {'degree': 16, 'field': [194514739, -107169916, 173192880, -69554736, 61480911, -18553140, 11924926, -2685748, 1395666, -229956, 100476, -11736, 4331, -332, 102, -4, 1], 'lmfdb_label': '348480.dy2', 'torsion': [6, 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: 8626965
    {'conductor': 348480, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '348480.dy2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8626966
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '348480.dy2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8626967
    {'conductor': 348480, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '348480.dy2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8626968
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '348480.dy2', 'prime': 11, 'reduction_type': 0, '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: 3840159
    {'adelic_gens': [[7, 12, 144, 247], [389, 498, 186, 71], [1, 0, 12, 1], [649, 12, 648, 13], [1, 6, 6, 37], [5, 12, 612, 545], [1, 12, 0, 1], [552, 5, 127, 588], [3, 442, 22, 15], [10, 3, 501, 652]], 'adelic_image': '660.144.5.?', 'conductor': 348480, 'lmfdb_label': '348480.dy2', 'prime': 0}
  • id: 1206534
    {'conductor': 348480, 'elladic_image': '2.3.0.1', 'lmfdb_label': '348480.dy2', 'modell_image': '2B', 'prime': 2}
  • id: 1206535
    {'conductor': 348480, 'elladic_image': '3.6.0.1', 'lmfdb_label': '348480.dy2', 'modell_image': '3Ns', 'prime': 3}
• lmfdb_iso 348480.dy does not appear in ec_padic