Elliptic curve data - 7440.q4

Formats: - HTML - YAML - JSON - 2023-12-11T12:58:47.829123

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7440u', 'Clabel': '7440u4', 'Cnumber': 4, 'absD': 510670172160000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 1, 0, 10424, -1003660], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 27648, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5048744530429260262109488501', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [30579142915511, 124675335000], 'lmfdb_iso': '7440.q', 'lmfdb_label': '7440.q4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, 652, 16008], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '12.12.0-4.c.1.2', '24.24.0-24.v.1.3', '1240.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.81172727248298071679371672864', 'prec': 103}, '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, 0, 0, 1, 0, 4, 0, 6, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, 0, 4, 6, 2, 4, 4, 2, 1, -2, -6, 4, 0, 2, 4, -6, -16, 12, -6, 16, 12, -18, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 7440, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7440.q', 'trace_hash': 260192791600479823}
• 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': '0.049304057155021782290564835167', 'prec': 107}, 'conductor': 7440, 'gens': [], 'heights': [], 'lmfdb_label': '7440.q4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26455497672605797748669869661', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1746597207126957298403843592848705390', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[67, 0, 1]], 'xcoord_integral_points': [67]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [0, 0], '31': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '7440.q4'}
• ec_torsion_growth •

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

  
  
  • id: 391540
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [4]}
  • id: 391541
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '7440.q4', 'torsion': [4]}
  • id: 391539
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [2, 2]}
  • id: 391542
    {'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [2, 4]}
  • id: 391546
    {'degree': 8, 'field': [-48, 0, -91, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [6]}
  • id: 391543
    {'degree': 8, 'field': [81, 0, -108, 0, 60, 0, -12, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [2, 4]}
  • id: 391545
    {'degree': 8, 'field': [9216, 0, -864, 0, 177, 0, 9, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [8]}
  • id: 391544
    {'degree': 8, 'field': [12996, 0, -1712, 0, 1068, 0, -72, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [8]}
  • id: 391547
    {'degree': 16, 'field': [81, 0, -324, 0, 648, 0, -864, 0, 711, 0, -288, 0, 72, 0, -12, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [4, 4]}
  • id: 391552
    {'degree': 16, 'field': [2304, 0, -4368, 0, 7129, 0, -2184, 0, 624, 0, -182, 0, 24, 0, 0, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [12]}
  • id: 391551
    {'degree': 16, 'field': [15129, 0, -85284, 0, 83100, 0, -10508, 0, 3950, 0, 532, 0, -20, 0, -4, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [12]}
  • id: 391549
    {'degree': 16, 'field': [126736, -647920, 2543796, -3453764, 3335873, -308988, -168260, -322012, 137916, -448, 4438, -2340, 428, 4, 0, -4, 1], 'lmfdb_label': '7440.q4', 'torsion': [2, 8]}
  • id: 391550
    {'degree': 16, 'field': [1134225, 0, 1977156, 0, 1580868, 0, 694668, 0, 170454, 0, 24204, 0, 1828, 0, 68, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [2, 6]}
  • id: 391548
    {'degree': 16, 'field': [68574961, 0, 99206380, 0, 51378728, 0, 12203040, 0, 1632983, 0, 127200, 0, 5288, 0, 100, 0, 1], 'lmfdb_label': '7440.q4', 'torsion': [2, 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: 153674
    {'conductor': 7440, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '7440.q4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 153675
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '7440.q4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 153676
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7440.q4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 153677
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7440.q4', 'prime': 31, 'reduction_type': 1, '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: 1713250
    {'adelic_gens': [[2328, 473, 1387, 1374], [1, 0, 8, 1], [2488, 3, 2485, 2], [1, 8, 0, 1], [1801, 8, 3484, 33], [1, 4, 4, 17], [2977, 8, 748, 33], [2317, 2324, 2278, 459], [7, 6, 3714, 3715], [3713, 8, 3712, 9]], 'adelic_image': '3720.48.0.?', 'conductor': 7440, 'lmfdb_label': '7440.q4', 'prime': 0}
  • id: 36723
    {'conductor': 7440, 'elladic_image': '8.12.0.8', 'lmfdb_label': '7440.q4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7440.q does not appear in ec_padic