Elliptic curve data - 418275.cg6

Formats: - HTML - YAML - JSON - 2024-05-02T03:41:38.853835

• 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': '418275cg', 'Clabel': '418275cg6', 'Cnumber': 6, 'abc_quality': 0.9847533288977478, 'absD': 16280251575288214846921875, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 34320, 'ainvs': [1, -1, 0, 50990733, -134342485484], 'analytic_rank': 0, 'bad_primes': [3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 418275, 'degree': 88080384, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5241690084687608771031196818', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 8, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [266679605718863, 296110251723], 'lmfdb_iso': '418275.cg', 'lmfdb_label': '418275.cg6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 1341, 18228], 'min_quad_twist_disc': -195, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '6.6.0.a.1', '8.12.0.n.1', '12.12.0.g.1', '24.24.0.bh.1', '80.24.0.?', '88.24.0.?', '208.24.0.?', '240.48.0.?', '260.12.0.?', '264.48.0.?', '520.24.0.?', '624.48.0.?', '780.24.0.?', '880.48.0.?', '1040.48.0.?', '1560.48.0.?', '2288.48.0.?', '2640.96.0.?', '3120.96.0.?', '5720.48.0.?', '6864.96.1.?', '11440.96.0.?', '17160.96.0.?', '34320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88766922918688747607837367594', 'prec': 103}, 'szpiro_ratio': 5.010475554950114, '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, 0, -1, 0, 0, 0, -3, 0, 0, -1, 0, 0, 0, 0, -1, -6, 0, 4, 0], 'aplist': [1, 0, 0, 0, -1, 0, -6, 4, -8, 10, 0, 6, 10, -4, -8, -10, -12, 14, -12, 0, -6, 8, -12, 2, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 418275, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '418275.cg', 'trace_hash': 474186442395824102}
• 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': '0.00086885177493941109798139028117', 'prec': 113}, 'conductor': 418275, 'gens': [], 'heights': [], 'lmfdb_label': '418275.cg6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.037561039319262856088040080019', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.60097662910820569740864128030303954346', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[9491, -9491, 2]], 'xcoord_integral_points': []}
• lmfdb_label 418275.cg6 does not appear in ec_iwasawa
• lmfdb_label 418275.cg6 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: 10334198
    {'conductor': 418275, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '418275.cg6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10334199
    {'conductor': 418275, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418275.cg6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10334200
    {'conductor': 418275, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '418275.cg6', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10334201
    {'conductor': 418275, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '418275.cg6', 'prime': 13, '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: 4250143
    {'adelic_gens': [[13741, 6880, 1460, 1401], [1, 16, 0, 1], [5, 4, 34316, 34317], [29341, 6880, 20960, 27141], [34305, 16, 34304, 17], [1, 0, 16, 1], [6863, 0, 0, 34319], [15, 2, 34222, 34307], [22864, 34315, 45, 14], [31679, 27440, 26920, 13599], [871, 6880, 23430, 2041]], 'adelic_image': '34320.192.1.?', 'conductor': 418275, 'lmfdb_label': '418275.cg6', 'prime': 0}
  • id: 1412608
    {'conductor': 418275, 'elladic_image': '8.12.0.5', 'lmfdb_label': '418275.cg6', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 418275.cg does not appear in ec_padic