Elliptic curve data - 308898.d3

Formats: - HTML - YAML - JSON - 2024-05-16T12:52:16.797762

• 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': '308898d', 'Clabel': '308898d4', 'Cnumber': 4, 'abc_quality': 1.166204397364557, 'absD': 26040644372216355317110296, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3144, 'ainvs': [1, -1, 0, -35449263, 258618361765], 'analytic_rank': 1, 'bad_primes': [2, 3, 131], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 308898, 'degree': 79073280, 'elladic_images': ['8.12.0.13'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5609953161092220639155547009', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [-1337180541913, 7067998104], 'lmfdb_iso': '308898.d', 'lmfdb_label': '308898.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -229, 4165], 'min_quad_twist_disc': 393, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.6', '24.24.0-24.v.1.8', '524.12.0.?', '1048.24.0.?', '3144.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.976273853076007672223562708', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57409051017459144614322007685', 'prec': 103}, 'szpiro_ratio': 5.227556106775405, '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, -2, 0, 0, -1, 0, 2, -4, 0, -2, 0, 0, 1, -2, 0, -8, -2], 'aplist': [-1, 0, -2, 0, -4, -2, -2, -8, 0, 2, 8, -2, -10, -4, 8, -10, -12, 6, 0, 8, 14, -16, 12, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 308898, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '308898.d', 'trace_hash': 73493055614484951}
• 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': '0.00080715839532566110463829205539', 'prec': 113}, 'conductor': 308898, 'gens': [[47656723, 310755311941, 66]], 'heights': [{'__RealLiteral__': 0, 'data': '17.976273853076007672223562708', 'prec': 100}], 'lmfdb_label': '308898.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.057960100403167029489420299102', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0838132747982232858316695344780910366', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-32749, 32749, 2]], 'xcoord_integral_points': []}
• lmfdb_label 308898.d3 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 13039267
    {'degree': 2, 'field': [-131, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [4]}
  • id: 13039266
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [2, 2]}
  • id: 13039268
    {'degree': 2, 'field': [786, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [4]}
  • id: 13039269
    {'degree': 4, 'field': [18769, 0, -250, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [2, 4]}
  • id: 13039273
    {'degree': 8, 'field': [-2642, 3365, -3512, 293, -143, -7, 7, -4, 1], 'lmfdb_label': '308898.d3', 'torsion': [6]}
  • id: 13039272
    {'degree': 8, 'field': [36, 0, -192, 0, 1030, 0, 32, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [8]}
  • id: 13039271
    {'degree': 8, 'field': [6084, 0, -4248, 0, -147, 0, -6, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [8]}
  • id: 13039270
    {'degree': 8, 'field': [1198239, -141396, 147942, -13224, 6943, -400, 138, -4, 1], 'lmfdb_label': '308898.d3', 'torsion': [2, 4]}
  • id: 13039278
    {'degree': 16, 'field': [8464, 0, -142659, 0, 948457, 0, -2442040, 0, 530154, 0, -60838, 0, 3544, 0, -99, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [12]}
  • id: 13039275
    {'degree': 16, 'field': [20151121, 0, -36773888, 0, 25626368, 0, -8115840, 0, 1348658, 0, -122880, 0, 5888, 0, -128, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [2, 8]}
  • id: 13039276
    {'degree': 16, 'field': [81396484, 0, 34345096, 0, -3324056, 0, -430844, 0, 54181, 0, -680, 0, -110, 0, 28, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [2, 8]}
  • id: 13039277
    {'degree': 16, 'field': [200264122, -26165396, 32845101, -21803308, 32826068, -28600554, 13383631, -3365360, 928845, -67958, 23947, -6600, 1919, -406, 78, -8, 1], 'lmfdb_label': '308898.d3', 'torsion': [2, 6]}
  • id: 13039279
    {'degree': 16, 'field': [444977956, 39479500, 35737161, -137301396, 36619494, 36209718, -8382665, -3107696, 707511, 51570, -15561, 2784, -373, -70, 30, -8, 1], 'lmfdb_label': '308898.d3', 'torsion': [12]}
  • id: 13039274
    {'degree': 16, 'field': [1435776701121, 0, -334546919460, 0, 34785940710, 0, -2097045600, 0, 79723351, 0, -1946360, 0, 29730, 0, -260, 0, 1], 'lmfdb_label': '308898.d3', 'torsion': [4, 4]}
• 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: 7650678
    {'conductor': 308898, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '308898.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7650679
    {'conductor': 308898, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '308898.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7650680
    {'conductor': 308898, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '308898.d3', 'prime': 131, '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: 3604152
    {'adelic_gens': [[3137, 8, 3136, 9], [2755, 2752, 1202, 2757], [7, 6, 3138, 3139], [1439, 3136, 2612, 3111], [1, 0, 8, 1], [2752, 1187, 1969, 1998], [2092, 3143, 1025, 3138], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '3144.48.0.?', 'conductor': 308898, 'lmfdb_label': '308898.d3', 'prime': 0}
  • id: 1085398
    {'conductor': 308898, 'elladic_image': '8.12.0.13', 'lmfdb_label': '308898.d3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 308898.d does not appear in ec_padic