Elliptic curve data - 7440.q3

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• 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': '7440u', 'Clabel': '7440u1', 'Cnumber': 1, 'abc_quality': 0.9132598439927675, 'absD': 70212648960, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [0, 1, 0, -1736, 24180], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7440, 'degree': 6912, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.81172727248298071679371672864', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 4], 'jinv': [141339344329, 17141760], 'lmfdb_iso': '7440.q', 'lmfdb_label': '7440.q3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -108, -432], '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.1.2', '12.12.0-4.c.1.1', '24.24.0-24.bb.1.10', '620.12.0.?', '930.6.0.?', '1240.24.0.?', '1860.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.11858009192303540737648460718', 'prec': 103}, 'szpiro_ratio': 3.8130814699954465, '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': '0.19721622862008712916225934067', 'prec': 103}, 'conductor': 7440, 'gens': [], 'heights': [], 'lmfdb_label': '7440.q3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0582199069042319099467947864', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1746597207126957298403843592848705390', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[30, 0, 1]], 'xcoord_integral_points': [30]}
• 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.q3'}
• ec_torsion_growth •

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

  
  
  • id: 391504
    {'degree': 2, 'field': [-155, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [4]}
  • id: 391503
    {'degree': 2, 'field': [-116, -1, 1], 'lmfdb_label': '7440.q3', 'torsion': [2, 2]}
  • id: 391505
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [4]}
  • id: 391506
    {'degree': 4, 'field': [1444, 0, -79, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [2, 4]}
  • id: 391510
    {'degree': 8, 'field': [-48, 0, -91, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [6]}
  • id: 391509
    {'degree': 8, 'field': [1014, 1404, 474, -156, -41, 44, 6, -4, 1], 'lmfdb_label': '7440.q3', 'torsion': [8]}
  • id: 391507
    {'degree': 8, 'field': [216225, 0, 0, 0, 465, 0, 0, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [2, 4]}
  • id: 391508
    {'degree': 8, 'field': [1537600, 0, -384400, 0, 21545, 0, -310, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [8]}
  • id: 391516
    {'degree': 16, 'field': [576, 0, -1536, 0, 1024, 0, -963, 0, 786, 0, 37, 0, 9, 0, -6, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [12]}
  • id: 391513
    {'degree': 16, 'field': [20557156, 0, 66902152, 0, 13660024, 0, -1081772, 0, -104411, 0, 11128, 0, -158, 0, -20, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [2, 8]}
  • id: 391515
    {'degree': 16, 'field': [120795230, 109125170, -103891071, -10837200, 6317490, -1015296, 240667, 69328, -2025, -5900, -3077, 2244, -283, -70, 30, -8, 1], 'lmfdb_label': '7440.q3', 'torsion': [12]}
  • id: 391511
    {'degree': 16, 'field': [181063936, 3121792, 26912, 12649104, -3133852, -247324, 438034, -165198, 38053, 5334, -3704, 1378, -217, -12, 8, -4, 1], 'lmfdb_label': '7440.q3', 'torsion': [4, 4]}
  • id: 391512
    {'degree': 16, 'field': [617721316, 0, -1210568980, 0, 822987749, 0, -225877650, 0, 22973051, 0, -1053120, 0, 23579, 0, -250, 0, 1], 'lmfdb_label': '7440.q3', 'torsion': [2, 8]}
  • id: 391514
    {'degree': 16, 'field': [7267221504, 0, 3269108736, 0, 545615680, 0, 40123008, 0, 830160, 0, -43547, 0, -2088, 0, 0, 0, 1], 'lmfdb_label': '7440.q3', '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: 153662
    {'conductor': 7440, 'conductor_valuation': 4, 'discriminant_valuation': 24, 'j_denominator_valuation': 12, 'kodaira_symbol': -20, 'lmfdb_label': '7440.q3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 153663
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '7440.q3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 153664
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7440.q3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 153665
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7440.q3', 'prime': 31, '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: 1713249
    {'adelic_gens': [[748, 1, 1511, 6], [1, 0, 8, 1], [3247, 3252, 3250, 1393], [2488, 3, 2485, 2], [1, 8, 0, 1], [1, 4, 4, 17], [1403, 1398, 2330, 467], [3484, 1, 503, 6], [7, 6, 3714, 3715], [3713, 8, 3712, 9]], 'adelic_image': '3720.48.0.?', 'conductor': 7440, 'lmfdb_label': '7440.q3', 'prime': 0}
  • id: 36722
    {'conductor': 7440, 'elladic_image': '8.12.0.12', 'lmfdb_label': '7440.q3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7440.q does not appear in ec_padic