Elliptic curve data - 158400.mf2

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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': '158400fj', 'Clabel': '158400fj1', 'Cnumber': 1, 'abc_quality': 0.9443840180226643, 'absD': 3284582400000000000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 0, 0, 143700, -84638000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 158400, 'degree': 2764800, 'elladic_images': ['5.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2341024959367943000117580912', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 317, 'isogeny_degrees': [1, 5], 'jinv': [109902239, 1100000], 'lmfdb_iso': '158400.mf', 'lmfdb_label': '158400.mf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 10, -45], 'min_quad_twist_disc': 120, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '120.24.0.?', '440.24.1.?', '660.24.0.?', '1320.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.6812818577161423689225421969', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2475], [3, 6, 17600], [5, 14, 6336], [11, 12, 14400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15964337545422869711209237606', 'prec': 107}, 'szpiro_ratio': 4.178688713044466, '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, 0, 0, 3, 0, 0, 0, -1, 0, -6, 0, 0, 0, -7, 0, 5, 0], 'aplist': [0, 0, 0, 3, -1, -6, -7, 5, 6, 5, 3, 3, -2, -4, 2, 1, 10, -7, -8, 7, -14, -10, -6, 15, 12], 'class_deg': 5, 'class_size': 2, 'conductor': 158400, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '158400.mf', 'trace_hash': 782836795933358395}
• 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': '0.011467882328458300203107362793', 'prec': 107}, 'conductor': 158400, 'gens': [[24714, 3696512, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '7.6812818577161423689225421969', 'prec': 100}], 'lmfdb_label': '158400.mf2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12410861996476226599449039873', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6265063273721265136556762109663147939', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 158400.mf2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7089699
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '158400.mf2', 'torsion': [5]}
  • id: 7089700
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '158400.mf2', 'torsion': [2]}
  • id: 7089702
    {'degree': 6, 'field': [-270, 0, 189, 0, -24, 0, 1], 'lmfdb_label': '158400.mf2', 'torsion': [10]}
  • id: 7089701
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '158400.mf2', 'torsion': [2, 2]}
  • id: 7089703
    {'degree': 8, 'field': [-1200, 0, 47970, 0, -1680, 0, -10, 0, 1], 'lmfdb_label': '158400.mf2', 'torsion': [3]}
  • id: 7089704
    {'degree': 12, 'field': [-13136, 25942, -42618, 23231, -19959, 1776, -5312, -1248, -936, 118, 22, -1, 1], 'lmfdb_label': '158400.mf2', 'torsion': [4]}
  • id: 7089705
    {'degree': 12, 'field': [25444, -22848, -6808, -2544, 27436, 17808, 8356, 1464, 265, -48, -12, 0, 1], 'lmfdb_label': '158400.mf2', 'torsion': [2, 10]}
  • id: 7089706
    {'degree': 16, 'field': [519840000, 0, -104724000, 0, -5751900, 0, -268200, 0, 63300, 0, -5100, 0, -260, 0, 10, 0, 1], 'lmfdb_label': '158400.mf2', 'torsion': [15]}
  • id: 7089707
    {'degree': 20, 'field': [98883223561, -154558399184, 158371733384, -124865409584, 82609701944, -42901596132, 21417883616, -8105117976, 3236096726, -924308376, 304794134, -66156328, 18298888, -2983988, 693968, -82028, 15908, -1248, 198, -8, 1], 'lmfdb_label': '158400.mf2', 'torsion': [5]}
• 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: 3917737
    {'conductor': 158400, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '158400.mf2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3917738
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '158400.mf2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3917739
    {'conductor': 158400, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '158400.mf2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3917740
    {'conductor': 158400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '158400.mf2', 'prime': 11, '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: 2689256
    {'adelic_gens': [[6, 13, 1265, 1201], [1094, 765, 555, 1148], [439, 0, 0, 1319], [1311, 10, 1310, 11], [1, 0, 10, 1], [1, 10, 0, 1], [329, 870, 0, 1319], [434, 435, 225, 884], [166, 885, 1035, 436]], 'adelic_image': '1320.48.1.?', 'conductor': 158400, 'lmfdb_label': '158400.mf2', 'prime': 0}
  • id: 604170
    {'conductor': 158400, 'elladic_image': '5.12.0.1', 'lmfdb_label': '158400.mf2', 'modell_image': '5B.4.1', 'prime': 5}
• lmfdb_iso 158400.mf does not appear in ec_padic