Elliptic curve data - 705600.bsq1

Formats: - HTML - YAML - JSON - 2024-06-09T19:19:55.315611

• 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[]

  
  {'abc_quality': 0.6163775175776384, 'absD': 100018800000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14, 'ainvs': [0, 0, 0, 10500, 245000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 705600, 'degree': 1474560, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3743660222544135155319109853', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 1160, 'isogeny_degrees': [1], 'jinv': [1280, 1], 'lmfdb_iso': '705600.bsq', 'lmfdb_label': '705600.bsq1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [0, 1, 0, 12, 13], 'min_quad_twist_disc': 120, 'modell_images': [], 'modm_images': ['14.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4944295502351971370009386706', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3119989180994909973569161424', 'prec': 103}, 'szpiro_ratio': 2.9250440768219024, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 2, 0, 0, 0, -4, 0, 0, 0], 'aplist': [0, 0, 0, 0, 3, 2, -4, 0, 3, 1, -2, 7, 2, 1, -12, -6, 6, 6, 7, -3, -2, 5, 6, -18, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 705600, 'isogeny_matrix': [[1]], 'lmfdb_iso': '705600.bsq', 'trace_hash': 1093152876944614125}
• 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': '0.064008970299856916698750829559', 'prec': 107}, 'conductor': 705600, 'gens': [[4249, 298557, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '6.4944295502351971370009386706', 'prec': 100}], 'lmfdb_label': '705600.bsq1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38434068128239986666810448050', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.9842939115117816675040339483337238778', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 705600.bsq1 does not appear in ec_iwasawa
• lmfdb_label 705600.bsq1 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: 12344213
    {'conductor': 705600, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '705600.bsq1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12344214
    {'conductor': 705600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '705600.bsq1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12344215
    {'conductor': 705600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '705600.bsq1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 12344216
    {'conductor': 705600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '705600.bsq1', 'prime': 7, 'reduction_type': 0, '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

  
  {'adelic_gens': [[13, 2, 12, 3], [1, 1, 13, 0], [3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1]], 'adelic_image': '14.2.0.?', 'conductor': 705600, 'lmfdb_label': '705600.bsq1', 'prime': 0}
• lmfdb_iso 705600.bsq does not appear in ec_padic