Elliptic curve data - 416955.t3

Formats: - HTML - YAML - JSON - 2024-06-15T09:31:51.323626

• 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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '416955t', 'Clabel': '416955t1', 'Cnumber': 1, 'abc_quality': 0.8974073483939803, 'absD': 36678144974625, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 175560, 'ainvs': [1, 0, 0, -73471, -7665760], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 416955, 'degree': 1990656, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5306688674659610461077336017', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [932288503609, 779625], 'lmfdb_iso': '416955.t', 'lmfdb_label': '416955.t3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -203, 1032], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '120.12.0.?', '380.12.0.?', '456.12.0.?', '770.6.0.?', '1540.12.0.?', '1848.12.0.?', '2280.24.0.?', '5852.12.0.?', '9240.24.0.?', '29260.24.0.?', '35112.24.0.?', '175560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.058449377882740816103219885757', 'prec': 107}, 'szpiro_ratio': 3.4949751301079823, '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, -1, 1, -1, -1, -1, 1, 3, 1, 1, -1, -1, 2, -1, -1, -1, 6, -1, 0, 1], 'aplist': [-1, 1, -1, 1, -1, 2, 6, 0, -4, -10, 4, 2, -10, 12, 0, -10, 12, -2, -4, -8, -14, -4, 8, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 416955, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '416955.t', 'trace_hash': 944528465933503049}
• 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': '0.046825013847093985667929571860', 'prec': 107}, 'conductor': 416955, 'gens': [], 'heights': [], 'lmfdb_label': '416955.t3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28999622088217211130594907787', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1599848835286884452237963114767922439', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-160, 80, 1]], 'xcoord_integral_points': [-160]}
• lmfdb_label 416955.t3 does not appear in ec_iwasawa
• lmfdb_label 416955.t3 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: 10301515
    {'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '416955.t3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10301516
    {'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '416955.t3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10301517
    {'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '416955.t3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10301518
    {'conductor': 416955, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '416955.t3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10301519
    {'conductor': 416955, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '416955.t3', 'prime': 19, '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: 4242433
    {'adelic_gens': [[61219, 61218, 118978, 95875], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [40433, 105108, 160550, 137447], [117041, 46208, 52364, 9273], [143888, 83163, 63365, 27722], [175553, 8, 175552, 9], [27719, 0, 0, 175559], [7, 6, 175554, 175555], [66368, 83163, 58805, 27722], [153388, 27721, 75791, 138606]], 'adelic_image': '175560.48.0.?', 'conductor': 416955, 'lmfdb_label': '416955.t3', 'prime': 0}
  • id: 1408783
    {'conductor': 416955, 'elladic_image': '4.6.0.1', 'lmfdb_label': '416955.t3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 416955.t does not appear in ec_padic