Elliptic curve data - 301392.d1

Formats: - HTML - YAML - JSON - 2024-04-29T20:39:22.036866

• 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': '301392d', 'Clabel': '301392d2', 'Cnumber': 2, 'abc_quality': 0.9272829424781373, 'absD': 6151269793923072, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, 0, 0, -1126947, -460456670], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 301392, 'degree': 5750784, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1141528105973490716920154598', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [53008645999484449, 2060047808], 'lmfdb_iso': '301392.d', 'lmfdb_label': '301392.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -7826, -269729], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.87169948570334891657716071988', 'prec': 103}, 'szpiro_ratio': 4.234144271608614, '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, 0, 0, 0, -4, 0, 1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 0, 0, -8, 0], 'aplist': [0, 0, -4, 1, -4, 1, 0, -8, 1, -2, 2, 6, -2, 4, -6, 2, 2, 12, 12, -4, 6, 16, 12, -4, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 301392, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '301392.d', 'trace_hash': 653769032350569717}
• 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': '0.014577068711702168788422809648', 'prec': 107}, 'conductor': 301392, 'gens': [], 'heights': [], 'lmfdb_label': '301392.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14652937406602033542348802387', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1722349925281626833879041909600308153', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-610, 0, 1]], 'xcoord_integral_points': [-610]}
• lmfdb_label 301392.d1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12747789
    {'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '301392.d1', 'torsion': [2, 2]}
  • id: 12747790
    {'degree': 4, 'field': [58, 4, -13, -1, 1], 'lmfdb_label': '301392.d1', 'torsion': [4]}
  • id: 12747793
    {'degree': 8, 'field': [-32448, 0, 2612, 0, 393, 0, -42, 0, 1], 'lmfdb_label': '301392.d1', 'torsion': [6]}
  • id: 12747792
    {'degree': 8, 'field': [-23, 230, -276, 138, -183, 134, -40, -4, 1], 'lmfdb_label': '301392.d1', 'torsion': [2, 4]}
  • id: 12747791
    {'degree': 8, 'field': [16164, -10764, 3054, 414, 193, -138, 8, 0, 1], 'lmfdb_label': '301392.d1', 'torsion': [2, 4]}
  • id: 12747795
    {'degree': 16, 'field': [157351936, 0, -77057008, 0, 8071084, 0, -1850559, 0, 105522, 0, -16479, 0, 613, 0, -46, 0, 1], 'lmfdb_label': '301392.d1', 'torsion': [2, 6]}
  • id: 12747794
    {'degree': 16, 'field': [5002433238544, 0, 590903203352, 0, 47659031952, 0, 104609750, 0, 25935513, 0, -843364, 0, 18602, 0, -162, 0, 1], 'lmfdb_label': '301392.d1', 'torsion': [8]}
• 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: 7463997
    {'conductor': 301392, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '301392.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7463998
    {'conductor': 301392, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '301392.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7463999
    {'conductor': 301392, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '301392.d1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7464000
    {'conductor': 301392, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '301392.d1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7464001
    {'conductor': 301392, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '301392.d1', 'prime': 23, '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

  
  
  • id: 3559143
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [562, 1, 363, 0], [484, 165, 161, 484], [641, 4, 640, 5], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11]], 'adelic_image': '644.12.0.?', 'conductor': 301392, 'lmfdb_label': '301392.d1', 'prime': 0}
  • id: 1062150
    {'conductor': 301392, 'elladic_image': '2.3.0.1', 'lmfdb_label': '301392.d1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 301392.d does not appear in ec_padic