Elliptic curve data - 485520.t1

Formats: - HTML - YAML - JSON - 2025-10-27T16:52:02.493664

• 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': '485520t', 'Clabel': '485520t2', 'Cnumber': 2, 'abc_quality': 1.0097143368729002, 'absD': 1103215917972669483080448000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 14280, 'ainvs': [0, -1, 0, -3343371736, 74392891609936], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 485520, 'degree': 371589120, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1728653277310252757357501031', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [83609231549925663172082, 22317062975463375], 'lmfdb_iso': '485520.t', 'lmfdb_label': '485520.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -11568760, -15137966900], 'min_quad_twist_disc': -68, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '476.6.0.?', '14280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.419287450772802697992861771', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4335], [3, 4, 32368], [5, 6, 13872], [7, 8, 23120], [17, 162, 1680]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1208737401896340353118533495', 'prec': 100}, 'szpiro_ratio': 5.911898208508616, '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, -1, 0, -1, 0, -1, 0, 1, 0, 2, 0, -6, 0, 1, 0, 0, 0, -4, 0], 'aplist': [0, -1, -1, -1, 2, -6, 0, -4, -6, -6, -4, -2, -2, 4, -6, -14, -6, -2, -12, 0, 2, 10, 0, -4, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 485520, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '485520.t', 'trace_hash': 1495148954430553439}
• 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': '0.00023740793411812777961562851262', 'prec': 113}, 'conductor': 485520, 'gens': [[1673562, 70920998, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '12.419287450772802697992861771', 'prec': 100}], 'lmfdb_label': '485520.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.047829393705653069232661287529', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3760279561067553650970518035003249153', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[32969, 0, 1]], 'xcoord_integral_points': [32969]}
• lmfdb_label 485520.t1 does not appear in ec_iwasawa
• lmfdb_label 485520.t1 does not appear in ec_torsion_growth
• 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: 11966426
    {'conductor': 485520, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '485520.t1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11966427
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '485520.t1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11966428
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '485520.t1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11966429
    {'conductor': 485520, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '485520.t1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11966430
    {'conductor': 485520, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '485520.t1', '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: 4640195
    {'adelic_gens': [[14277, 4, 14276, 5], [5356, 8929, 1785, 12496], [1, 2, 2, 5], [5714, 1, 11423, 0], [1, 4, 0, 1], [8401, 4, 2522, 9], [4762, 1, 4759, 0], [1, 0, 4, 1], [2, 1, 7139, 0], [3, 4, 8, 11], [6121, 4, 12242, 9]], 'adelic_image': '14280.12.0.?', 'conductor': 485520, 'lmfdb_label': '485520.t1', 'prime': 0}
  • id: 1607789
    {'conductor': 485520, 'elladic_image': '2.3.0.1', 'lmfdb_label': '485520.t1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 485520.t does not appear in ec_padic