Elliptic curve data - 120384.cp1

Formats: - HTML - YAML - JSON - 2024-05-29T09:43:34.511905

• 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': '120384f', 'Clabel': '120384f1', 'Cnumber': 1, 'abc_quality': 0.7488455381648026, 'absD': 92454912, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 1254, 'ainvs': [0, 0, 0, 96, 288], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 120384, 'degree': 33792, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21568172745666205621715377400', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 67, 'isogeny_degrees': [1], 'jinv': [221184, 209], 'lmfdb_iso': '120384.cp', 'lmfdb_label': '120384.cp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 24, 36], 'min_quad_twist_disc': 8, 'modell_images': [], 'modm_images': ['1254.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.86764305536363489428509501026', 'prec': 107}, 'szpiro_ratio': 2.1632494135598455, '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, 2, 0, -4, 0, 0, 0, 1, 0, -1, 0, 0, 0, 3, 0, -1, 0], 'aplist': [0, 0, 2, -4, 1, -1, 3, -1, 8, 6, 0, -8, 0, 8, 2, 9, -3, -10, -4, -3, 4, 15, 9, 1, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 120384, 'isogeny_matrix': [[1]], 'lmfdb_iso': '120384.cp', 'trace_hash': 24924455144702375}
• 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': '0.64962275927847139729776513100', 'prec': 103}, 'conductor': 120384, 'gens': [], 'heights': [], 'lmfdb_label': '120384.cp1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.2482978116606724117124248647', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4965956233213448234248497294130690906', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '120384.cp1'}
• ec_torsion_growth •

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

  
  
  • id: 5502230
    {'degree': 3, 'field': [-9, -5, -1, 1], 'lmfdb_label': '120384.cp1', 'torsion': [2]}
  • id: 5502231
    {'degree': 6, 'field': [2508, 0, 256, 0, -32, 0, 1], 'lmfdb_label': '120384.cp1', 'torsion': [2, 2]}
  • id: 5502232
    {'degree': 8, 'field': [-972, 0, 486, 0, 108, 0, 0, 0, 1], 'lmfdb_label': '120384.cp1', 'torsion': [3]}
  • id: 5502233
    {'degree': 12, 'field': [-553985, -750048, -159596, 290420, 248799, 87924, 16474, 1836, 67, -56, -30, -4, 1], 'lmfdb_label': '120384.cp1', 'torsion': [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: 2962441
    {'conductor': 120384, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '120384.cp1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2962442
    {'conductor': 120384, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '120384.cp1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2962443
    {'conductor': 120384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '120384.cp1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2962444
    {'conductor': 120384, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '120384.cp1', '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': [[1123, 2, 1123, 3], [343, 2, 343, 3], [419, 2, 419, 3], [1, 1, 1253, 0], [1253, 2, 1252, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '1254.2.0.?', 'conductor': 120384, 'lmfdb_label': '120384.cp1', 'prime': 0}
• lmfdb_iso 120384.cp does not appear in ec_padic