Elliptic curve data - 7440.l1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7440m', 'Clabel': '7440m2', 'Cnumber': 2, 'abc_quality': 0.8816938790028535, 'absD': 1301702400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 620, 'ainvs': [0, -1, 0, -300, -900], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7440, 'degree': 3072, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.44504502474049617478210722762', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2], 'jinv': [11702923216, 5084775], 'lmfdb_iso': '7440.l', 'lmfdb_label': '7440.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -300, 900], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '124.6.0.?', '620.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.4943748769239331342559803153', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 31], [3, 4, 2480], [5, 6, 1488], [31, 32, 240]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.017053095632800698162714186685', 'prec': 110}, 'szpiro_ratio': 3.2226008727240507, '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, 2, 0, 1, 0, 4, 0, -4, 0, -1, 0, 0, 0, 0, 0], 'aplist': [0, -1, 1, 2, 4, -4, 0, 0, 0, -6, -1, -8, -10, 4, -10, 0, 4, -6, 2, -8, 4, -16, 4, -18, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 7440, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7440.l', 'trace_hash': 16702945559847891}
• 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': '0.41061877507987871116762169199', 'prec': 103}, 'conductor': 7440, 'gens': [[65, 500, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.4943748769239331342559803153', 'prec': 100}], 'lmfdb_label': '7440.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1931826072434296823744836986', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1694273263340372442122002070307679216', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-15, 0, 1]], 'xcoord_integral_points': [-15, 65]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [4, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7440.l1'}
• ec_torsion_growth •

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

  
  
  • id: 391296
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '7440.l1', 'torsion': [2, 2]}
  • id: 391297
    {'degree': 4, 'field': [31, 0, 12, 0, 1], 'lmfdb_label': '7440.l1', 'torsion': [4]}
  • id: 391300
    {'degree': 8, 'field': [-32448, 0, 23248, 0, 624, 0, 0, 0, 1], 'lmfdb_label': '7440.l1', 'torsion': [6]}
  • id: 391298
    {'degree': 8, 'field': [3105, -9180, 5796, -1436, 614, 60, -36, -4, 1], 'lmfdb_label': '7440.l1', 'torsion': [2, 4]}
  • id: 391299
    {'degree': 8, 'field': [8305, -7130, 326, 434, 339, -62, -24, 0, 1], 'lmfdb_label': '7440.l1', 'torsion': [2, 4]}
  • id: 391302
    {'degree': 16, 'field': [18748900, 0, -164174375, 0, 20229850, 0, 1611519, 0, -108693, 0, -27381, 0, 1771, 0, -62, 0, 1], 'lmfdb_label': '7440.l1', 'torsion': [2, 6]}
  • id: 391301
    {'degree': 16, 'field': [40947201, 0, 67907808, 0, 31000158, 0, 6114816, 0, 603235, 0, 32016, 0, 1118, 0, 48, 0, 1], 'lmfdb_label': '7440.l1', 'torsion': [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: 153582
    {'conductor': 7440, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7440.l1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 153583
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '7440.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 153584
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '7440.l1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 153585
    {'conductor': 7440, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7440.l1', '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: 1713237
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [156, 469, 465, 156], [497, 4, 374, 9], [502, 1, 59, 0], [617, 4, 616, 5]], 'adelic_image': '620.12.0.?', 'conductor': 7440, 'lmfdb_label': '7440.l1', 'prime': 0}
  • id: 36712
    {'conductor': 7440, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7440.l1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 302723
    {'lmfdb_iso': '7440.l', 'p': 7, 'prec': 20, 'unit': 972430341769636, 'val': 2}
  • id: 302721
    {'lmfdb_iso': '7440.l', 'p': 11, 'prec': 20, 'unit': 60571561706566537741, 'val': 1}
  • id: 302727
    {'lmfdb_iso': '7440.l', 'p': 13, 'prec': 20, 'unit': 126753806860467937075, 'val': 1}
  • id: 302726
    {'lmfdb_iso': '7440.l', 'p': 29, 'prec': 20, 'unit': 3351648594819233672922432484, 'val': 1}
  • id: 302722
    {'lmfdb_iso': '7440.l', 'p': 37, 'prec': 20, 'unit': 450548804619105211992840912026, 'val': 1}
  • id: 302724
    {'lmfdb_iso': '7440.l', 'p': 41, 'prec': 20, 'unit': 1658228021890746447114027480675, 'val': 1}
  • id: 302725
    {'lmfdb_iso': '7440.l', 'p': 43, 'prec': 20, 'unit': 2906687029770808155321283991498, 'val': 1}
  • id: 302734
    {'lmfdb_iso': '7440.l', 'p': 47, 'prec': 20, 'unit': 55239563339818756530112685969114, 'val': 1}
  • id: 302729
    {'lmfdb_iso': '7440.l', 'p': 59, 'prec': 20, 'unit': 3247106994846443824118740428683570, 'val': 1}
  • id: 302735
    {'lmfdb_iso': '7440.l', 'p': 61, 'prec': 20, 'unit': 210770408383400262245138459013299, 'val': 1}
  • id: 302730
    {'lmfdb_iso': '7440.l', 'p': 67, 'prec': 20, 'unit': 32000478436436220965979531860689984, 'val': 1}
  • id: 302733
    {'lmfdb_iso': '7440.l', 'p': 71, 'prec': 20, 'unit': 12136733250169443771649047573357378, 'val': 1}
  • id: 302731
    {'lmfdb_iso': '7440.l', 'p': 73, 'prec': 20, 'unit': 6256153136593109921422058998970570, 'val': 1}
  • id: 302728
    {'lmfdb_iso': '7440.l', 'p': 79, 'prec': 20, 'unit': 902764636446822022359226712400567992, 'val': 1}
  • id: 302720
    {'lmfdb_iso': '7440.l', 'p': 83, 'prec': 20, 'unit': 423734876383986866567319212981147680, 'val': 1}
  • id: 302732
    {'lmfdb_iso': '7440.l', 'p': 89, 'prec': 20, 'unit': 371888563959869501613312823066419838, 'val': 1}
  • id: 302719
    {'lmfdb_iso': '7440.l', 'p': 97, 'prec': 20, 'unit': 33023558556310537339494612334456429444, 'val': 1}