Elliptic curve data - 418950.lu4

Formats: - HTML - YAML - JSON - 2025-10-24T15:28:15.826148

• 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': '418950lu', 'Clabel': '418950lu1', 'Cnumber': 1, 'abc_quality': 1.0281324592856305, 'absD': 385211465343129600000000000, 'adelic_genus': 5, 'adelic_index': 288, 'adelic_level': 7980, 'ainvs': [1, -1, 1, 102918145, -854539259353], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 10, 'class_size': 4, 'cm': 0, 'conductor': 418950, 'degree': 165888000, 'elladic_images': ['2.3.0.1', '5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7845167495937768253519366251', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 306, 'isogeny_degrees': [1, 2, 5, 10], 'jinv': [89962967236397039, 287450726400000], 'lmfdb_iso': '418950.lu', 'lmfdb_label': '418950.lu4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 9335, -737383], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '5B.4.1'], 'modm_images': ['2.3.0.a.1', '5.12.0.a.1', '10.36.0.a.2', '30.72.1.i.1', '70.72.0-10.a.2.4', '76.6.0.?', '105.24.0.?', '210.144.1.?', '380.72.1.?', '1140.144.5.?', '2660.144.1.?', '7980.288.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5303596624851150617250535323', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 11025], [3, 8, 46550], [5, 14, 8379], [7, 26, 8550], [19, 20, 22050]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4575365745150151398012579683', 'prec': 100}, 'szpiro_ratio': 5.289151102682632, '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, 1, 0, 0, -2, 0, 4, 0, 0, 1, 2, 0, 1, 0], 'aplist': [1, 0, 0, 0, -2, 4, 2, 1, 4, 0, 8, -8, -8, 6, 12, -6, 0, -2, -8, 8, 14, 0, -4, 0, -12], 'class_deg': 10, 'class_size': 4, 'conductor': 418950, 'isogeny_matrix': [[1, 2, 5, 10], [2, 1, 10, 5], [5, 10, 1, 2], [10, 5, 2, 1]], 'lmfdb_iso': '418950.lu', 'trace_hash': 1662850425266521509}
• 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': '0.00051619110672088641827779075853', 'prec': 113}, 'conductor': 418950, 'gens': [[8949, 880450, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5303596624851150617250535323', 'prec': 100}], 'lmfdb_label': '418950.lu4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.027325507030059064735315642572', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.435018844139833383769686206738714666', 'prec': 130}, 'tamagawa_product': 640, 'torsion_generators': [[6099, -3050, 1]], 'xcoord_integral_points': [6099, 8949, 81363]}
• lmfdb_label 418950.lu4 does not appear in ec_iwasawa
• lmfdb_label 418950.lu4 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: 10352176
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '418950.lu4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 10352177
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '418950.lu4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 10352178
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '418950.lu4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10352179
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '418950.lu4', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10352180
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '418950.lu4', 'prime': 19, '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: 4254371
    {'adelic_gens': [[2274, 1127, 6545, 3604], [11, 16, 7740, 7631], [2279, 0, 0, 7979], [1, 10, 10, 101], [7961, 20, 7960, 21], [3991, 6860, 0, 1], [1, 0, 20, 1], [4201, 6846, 0, 1], [7734, 1127, 6685, 1028], [1, 20, 0, 1]], 'adelic_image': '7980.288.5.?', 'conductor': 418950, 'lmfdb_label': '418950.lu4', 'prime': 0}
  • id: 1414962
    {'conductor': 418950, 'elladic_image': '2.3.0.1', 'lmfdb_label': '418950.lu4', 'modell_image': '2B', 'prime': 2}
  • id: 1414963
    {'conductor': 418950, 'elladic_image': '5.12.0.1', 'lmfdb_label': '418950.lu4', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 418950.lu does not appear in ec_padic