Elliptic curve data - 58800.fr4

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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': '58800iz', 'Clabel': '58800iz3', 'Cnumber': 3, 'abc_quality': 0.9866121641692004, 'absD': 2604376599740160000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -7252408, 7102767188], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 58800, 'degree': 3538944, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8610050504988114480230991471', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 147, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5602762882081, 345888060], 'lmfdb_iso': '58800.fr', 'lmfdb_label': '58800.fr4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -370, 2435], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '48.48.0-8.bb.2.5', '60.12.0.h.1', '80.48.0.?', '84.12.0.?', '112.48.0.?', '120.48.0.?', '140.12.0.?', '168.48.0.?', '240.96.0.?', '280.48.0.?', '336.96.0.?', '420.24.0.?', '560.96.0.?', '840.96.0.?', '1680.192.1.?'], '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, 'serre_invariants': [[2, 2, 3675], [3, 4, 19600], [5, 18, 2352], [7, 32, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098731', 'prec': 103}, 'szpiro_ratio': 5.372854505929526, '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, 0, 0, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 1, 0, 0, -4, -2, 2, -4, -8, 6, -8, 2, -2, -12, 8, -6, 4, 2, 12, -8, -14, 0, -12, -2, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 58800, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '58800.fr', 'trace_hash': 720137319962980773}
• 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': '0.0032731249735953704067924543820', 'prec': 110}, 'conductor': 58800, 'gens': [], 'heights': [], 'lmfdb_label': '58800.fr4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14176469018107378186639981172', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1341175214485902549311984937306522388', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[1843, 0, 1]], 'xcoord_integral_points': [1843]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '58800.fr4'}
• ec_torsion_growth •

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

  
  
  • id: 2828584
    {'degree': 2, 'field': [-35, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [4]}
  • id: 2828583
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 2]}
  • id: 2828585
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '58800.fr4', 'torsion': [4]}
  • id: 2828587
    {'degree': 4, 'field': [9, 0, -36, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [8]}
  • id: 2828586
    {'degree': 4, 'field': [25, 0, -25, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 4]}
  • id: 2828588
    {'degree': 4, 'field': [289, 0, -36, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [8]}
  • id: 2828589
    {'degree': 8, 'field': [781, -898, 1072, -370, 241, -70, 28, -4, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 4]}
  • id: 2828591
    {'degree': 8, 'field': [1225, 0, -1260, 0, 359, 0, -36, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 8]}
  • id: 2828590
    {'degree': 8, 'field': [1635, -2070, 1005, -630, 586, -98, 9, -2, 1], 'lmfdb_label': '58800.fr4', 'torsion': [8]}
  • id: 2828592
    {'degree': 8, 'field': [37100, 143500, 8750, -30240, 5460, -210, 4, -4, 1], 'lmfdb_label': '58800.fr4', 'torsion': [6]}
  • id: 2828600
    {'degree': 16, 'field': [5625, 0, 307500, 0, 620650, 0, -123000, 0, -38625, 0, -90200, 0, 690, 0, 0, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [12]}
  • id: 2828593
    {'degree': 16, 'field': [276676, 0, 98280, 0, 94561, 0, 14280, 0, 696, 0, -210, 0, -44, 0, 0, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [4, 4]}
  • id: 2828595
    {'degree': 16, 'field': [476100, 1076400, 927000, -68400, -109380, 212880, 89580, -112080, 65581, -19756, 4072, -1108, 325, -112, 22, -4, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 8]}
  • id: 2828597
    {'degree': 16, 'field': [2099601, 0, -1167264, 0, -299736, 0, 90672, 0, 50434, 0, 9504, 0, 936, 0, 48, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [16]}
  • id: 2828594
    {'degree': 16, 'field': [61400641, -48979796, -3824172, 8734988, 6003146, -10222656, 5789140, -1808636, 365739, -60032, 18460, -6108, 1826, -364, 72, -8, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 8]}
  • id: 2828598
    {'degree': 16, 'field': [265414429, -556813852, 535478664, -296405116, 109835656, -20772864, -1125824, 2129540, -1102290, 232820, 21784, -15372, 1204, 224, -24, -4, 1], 'lmfdb_label': '58800.fr4', 'torsion': [2, 6]}
  • id: 2828596
    {'degree': 16, 'field': [2772022500, 0, -2077650000, 0, 620743500, 0, -95904000, 0, 8383725, 0, -425700, 0, 12240, 0, -180, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [16]}
  • id: 2828599
    {'degree': 16, 'field': [16861022500, 0, -2500298500, 0, 280995400, 0, -41751675, 0, 1977150, 0, -26775, 0, 1225, 0, -70, 0, 1], 'lmfdb_label': '58800.fr4', 'torsion': [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: 1415837
    {'conductor': 58800, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '58800.fr4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1415838
    {'conductor': 58800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58800.fr4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1415839
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '58800.fr4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1415840
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '58800.fr4', 'prime': 7, '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: 2054126
    {'adelic_gens': [[1462, 409, 293, 954], [1, 16, 0, 1], [664, 1679, 257, 1670], [568, 1, 1199, 10], [13, 16, 684, 745], [1, 0, 16, 1], [1439, 1664, 1432, 1551], [15, 2, 1582, 1667], [5, 4, 1676, 1677], [1665, 16, 1664, 17]], 'adelic_image': '1680.192.1.?', 'conductor': 58800, 'lmfdb_label': '58800.fr4', 'prime': 0}
  • id: 248955
    {'conductor': 58800, 'elladic_image': '8.24.0.90', 'lmfdb_label': '58800.fr4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 58800.fr does not appear in ec_padic