Elliptic curve data - 38640.a1

Formats: - HTML - YAML - JSON - 2024-05-23T03:52:36.759647

• 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': '38640e', 'Clabel': '38640e1', 'Cnumber': 1, 'abc_quality': 0.9872489421858036, 'absD': 17246722500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3220, 'ainvs': [0, -1, 0, -2295396, -1337770080], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 38640, 'degree': 860160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2606769111086078416402831362', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [5224645130090610708304, 67370009765625], 'lmfdb_iso': '38640.a', 'lmfdb_label': '38640.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -2295396, 1337770080], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.b.1', '322.6.0.?', '3220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7985787907353109686954617219', 'prec': 100}, 'szpiro_ratio': 5.259668963543433, '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, -1, 0, -1, 0, -1, 0, 1, 0, -6, 0, -4, 0, 1, 0, 2, 0, 8, 0], 'aplist': [0, -1, -1, -1, -6, -4, 2, 8, 1, 2, -10, 8, -2, 4, 4, 4, 6, -2, -8, 8, 4, -14, 4, -6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 38640, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '38640.a', 'trace_hash': 1784767457559593029}
• 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': '0.010874291840776126544313812028', 'prec': 107}, 'conductor': 38640, 'gens': [], 'heights': [], 'lmfdb_label': '38640.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12265506015257049670703915600', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.73593036091542298024223493597157905898', 'prec': 133}, 'tamagawa_product': 24, 'torsion_generators': [[-872, 0, 1]], 'xcoord_integral_points': [-872]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [0, 0], '7': [0, 0], '23': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '38640.a1'}
• ec_torsion_growth •

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

  
  
  • id: 1903307
    {'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '38640.a1', 'torsion': [2, 2]}
  • id: 1903308
    {'degree': 4, 'field': [24, 16, 10, -2, 1], 'lmfdb_label': '38640.a1', 'torsion': [4]}
  • id: 1903310
    {'degree': 8, 'field': [-13016, 13920, -726, -2004, 649, 129, -48, -3, 1], 'lmfdb_label': '38640.a1', 'torsion': [2, 4]}
  • id: 1903311
    {'degree': 8, 'field': [-48, 0, -176, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '38640.a1', 'torsion': [6]}
  • id: 1903309
    {'degree': 8, 'field': [144, -312, 1310, -2022, 1077, -82, 32, -4, 1], 'lmfdb_label': '38640.a1', 'torsion': [2, 4]}
  • id: 1903312
    {'degree': 16, 'field': [3540873525, -446803000, 519283100, -151965400, 93725870, -21943120, 8420960, -992320, 306671, -45008, 14968, -3296, 610, -56, 28, -8, 1], 'lmfdb_label': '38640.a1', 'torsion': [8]}
  • id: 1903313
    {'degree': 16, 'field': [6308712101456, 1331998956160, -1214912992112, -228358816000, 99826960712, 16721592768, -4749011072, -685717120, 145119113, 17053112, -2928180, -257368, 38102, 2184, -292, -8, 1], 'lmfdb_label': '38640.a1', 'torsion': [2, 6]}
• 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: 911298
    {'conductor': 38640, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '38640.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 911299
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '38640.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 911300
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '38640.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 911301
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '38640.a1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 911302
    {'conductor': 38640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '38640.a1', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1921608
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [809, 2416, 804, 2415], [3217, 4, 3216, 5], [1, 0, 4, 1], [2302, 1, 459, 0], [2577, 4, 1934, 9], [3, 4, 8, 11], [562, 1, 2939, 0]], 'adelic_image': '3220.12.0.?', 'conductor': 38640, 'lmfdb_label': '38640.a1', 'prime': 0}
  • id: 169811
    {'conductor': 38640, 'elladic_image': '2.3.0.1', 'lmfdb_label': '38640.a1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 38640.a does not appear in ec_padic