Elliptic curve data - 418950.hy1

Formats: - HTML - YAML - JSON - 2024-06-14T05:20:15.083231

• 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': '418950hy', 'Clabel': '418950hy1', 'Cnumber': 1, 'abc_quality': 0.8711545350577963, 'absD': 2112784923905460000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1140, 'ainvs': [1, -1, 0, 3140058, 550497716], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 418950, 'degree': 21676032, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7809962564309877321501281586', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 206, 'isogeny_degrees': [1], 'jinv': [39413493, 24320], 'lmfdb_iso': '418950.hy', 'lmfdb_label': '418950.hy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 285, 405], 'min_quad_twist_disc': 105, 'modell_images': [], 'modm_images': ['1140.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.4869751434099114740540922212', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46927370716657247795114605524', 'prec': 107}, 'szpiro_ratio': 4.363896983834305, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 4, 0, 3, 0, 0, 1, -1, 0, 1, 0], 'aplist': [-1, 0, 0, 0, 4, 3, -1, 1, 8, 1, 7, 7, -1, -4, -8, 4, -8, 1, 10, -14, 4, 5, -6, -9, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 418950, 'isogeny_matrix': [[1]], 'lmfdb_iso': '418950.hy', 'trace_hash': 2216497513082404870}
• 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': '0.0038411152960917074382307020847', 'prec': 110}, 'conductor': 418950, 'gens': [[-151, 8613, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.4869751434099114740540922212', 'prec': 100}], 'lmfdb_label': '418950.hy1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.090620136022416339175694277908', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9556869415587772382403621716295577829', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-151]}
• lmfdb_label 418950.hy1 does not appear in ec_iwasawa
• lmfdb_label 418950.hy1 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: 10351366
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '418950.hy1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10351367
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '418950.hy1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10351368
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '418950.hy1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10351369
    {'conductor': 418950, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '418950.hy1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10351370
    {'conductor': 418950, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '418950.hy1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[781, 2, 781, 3], [457, 2, 457, 3], [1139, 2, 1138, 3], [571, 2, 571, 3], [761, 2, 761, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 1139, 0]], 'adelic_image': '1140.2.0.?', 'conductor': 418950, 'lmfdb_label': '418950.hy1', 'prime': 0}
• lmfdb_iso 418950.hy does not appear in ec_padic