Elliptic curve data - 348480.mx4

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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': '348480mx', 'Clabel': '348480mx2', 'Cnumber': 2, 'abc_quality': 0.9379136566213516, 'absD': 1327253690952607334400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -5228652, 4254962096], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 348480, 'degree': 11796480, 'elladic_images': ['8.24.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7949160114956164051234051183', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 335, 'isogeny_degrees': [1, 2, 4], 'jinv': [46694890801, 3920400], 'lmfdb_iso': '348480.mx', 'lmfdb_label': '348480.mx4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, 225], 'min_quad_twist_disc': 264, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0-4.b.1.8', '24.48.0-24.l.1.4', '40.48.0-40.i.2.21', '88.48.0.?', '120.96.0.?', '220.24.0.?', '264.96.0.?', '440.96.0.?', '1320.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 38720], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0069414599224583232689625286679', 'prec': 110}, 'szpiro_ratio': 4.5467492329959684, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 1, 0, 0, -2, 2, -4, 0, 2, 0, 2, 2, -12, -8, 6, -12, 6, -4, 0, 6, 16, -4, -10, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 348480, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '348480.mx', 'trace_hash': 1260837707096729968}
• 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': '0.0037356553161936775070280419656', 'prec': 110}, 'conductor': 348480, 'gens': [], 'heights': [], 'lmfdb_label': '348480.mx4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14887109546581507117843997244', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1909687637265205694275197795460132984', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[1012, 0, 1], [1606, 0, 1]], 'xcoord_integral_points': [-2618, 1012, 1606]}
• lmfdb_label 348480.mx4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14555650
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 4]}
  • id: 14555652
    {'degree': 4, 'field': [81, 0, 48, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 4]}
  • id: 14555651
    {'degree': 4, 'field': [576, 0, 18, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 4]}
  • id: 14555656
    {'degree': 8, 'field': [-3486252, 0, -274890, 0, -7128, 0, -44, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 6]}
  • id: 14555654
    {'degree': 8, 'field': [-18, 108, -162, 0, 103, -12, -22, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 8]}
  • id: 14555655
    {'degree': 8, 'field': [735, 420, -344, -160, 101, -28, 14, -4, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 8]}
  • id: 14555653
    {'degree': 8, 'field': [20736, 0, 0, 0, -207, 0, 0, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [4, 4]}
  • id: 14555657
    {'degree': 16, 'field': [16777216, 0, 0, 0, -978944, 0, 0, 0, 87936, 0, 0, 0, -239, 0, 0, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [4, 8]}
  • id: 14555658
    {'degree': 16, 'field': [54531601, 11877196, -13391908, 1736604, 2572834, -4723024, 2588988, -921884, 299763, -52736, 17508, -4348, 1210, -252, 56, -8, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 8]}
  • id: 14555659
    {'degree': 16, 'field': [174871166976, 0, 2649563136, 0, 913296384, 0, -4599936, 0, 2439360, 0, -302016, 0, -396, 0, 66, 0, 1], 'lmfdb_label': '348480.mx4', 'torsion': [2, 12]}
• 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: 8628729
    {'conductor': 348480, 'conductor_valuation': 6, 'discriminant_valuation': 22, 'j_denominator_valuation': 4, 'kodaira_symbol': -16, 'lmfdb_label': '348480.mx4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8628730
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '348480.mx4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8628731
    {'conductor': 348480, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '348480.mx4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8628732
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '348480.mx4', 'prime': 11, 'reduction_type': 0, '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: 3840622
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [833, 1314, 606, 5], [439, 1312, 436, 1287], [1313, 8, 1312, 9], [3, 994, 1316, 325], [655, 988, 988, 659], [5, 4, 1316, 1317], [799, 2, 774, 1315]], 'adelic_image': '1320.192.1.?', 'conductor': 348480, 'lmfdb_label': '348480.mx4', 'prime': 0}
  • id: 1206947
    {'conductor': 348480, 'elladic_image': '8.24.0.11', 'lmfdb_label': '348480.mx4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 348480.mx does not appear in ec_padic