Elliptic curve data - 57200.c2

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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': '57200bf', 'Clabel': '57200bf3', 'Cnumber': 3, 'abc_quality': 1.0122914741654505, 'absD': 1699036768000000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 17160, 'ainvs': [0, 1, 0, -574408, 178723188], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 57200, 'degree': 1327104, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2442958105108136663722382791', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-327495950129089, 26547449500], 'lmfdb_iso': '57200.c', 'lmfdb_label': '57200.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1436, -22484], 'min_quad_twist_disc': -20, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0-6.a.1.2', '104.6.0.?', '110.6.0.?', '132.24.0.?', '312.24.0.?', '330.24.0.?', '660.48.0.?', '1560.48.0.?', '3432.48.0.?', '5720.12.0.?', '17160.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 275], [3, 2, 4400], [5, 18, 2288], [11, 12, 5200], [13, 14, 4400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.74642967373381816965462649103', 'prec': 103}, 'szpiro_ratio': 4.703900871793067, '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, -2, 0, 0, 0, -4, 0, 1, 0, -1, 0, -1, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, -2, 0, -4, -1, -1, 6, -8, 0, 0, 4, -2, 12, 8, 6, 12, -12, 8, 8, 12, 10, 4, 12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 57200, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '57200.c', 'trace_hash': 286580891981127770}
• 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': '0.011236457861929786365100809393', 'prec': 107}, 'conductor': 57200, 'gens': [], 'heights': [], 'lmfdb_label': '57200.c2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26037939313347657311472931500', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0415175725339062924589172600061672185', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-882, 0, 1]], 'xcoord_integral_points': [-882]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '11': [0, 0], '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '57200.c2'}
• ec_torsion_growth •

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

  
  
  • id: 2754642
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [6]}
  • id: 2754641
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 2]}
  • id: 2754643
    {'degree': 4, 'field': [-55, 0, -38, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [4]}
  • id: 2754644
    {'degree': 4, 'field': [144, 0, 9, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 6]}
  • id: 2754645
    {'degree': 6, 'field': [1044, -552, 108, 20, 2, -2, 1], 'lmfdb_label': '57200.c2', 'torsion': [6]}
  • id: 2754648
    {'degree': 8, 'field': [625, 0, -710, 0, 239, 0, -34, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [12]}
  • id: 2754646
    {'degree': 8, 'field': [7976, 5392, 2060, 132, 199, 88, 25, -2, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 4]}
  • id: 2754647
    {'degree': 8, 'field': [111686, -153140, 77974, -17680, 2007, -260, 26, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 4]}
  • id: 2754650
    {'degree': 12, 'field': [16900, 0, 19740, 0, 4236, 0, -2031, 0, 207, 0, -9, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 6]}
  • id: 2754649
    {'degree': 12, 'field': [78789, -99534, 54334, -126, -10169, 3808, -1340, 412, 103, -50, 22, -6, 1], 'lmfdb_label': '57200.c2', 'torsion': [3, 6]}
  • id: 2754652
    {'degree': 16, 'field': [270400, 0, 530400, 0, 446585, 0, 8080, 0, 10716, 0, 802, 0, 204, 0, 28, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 12]}
  • id: 2754653
    {'degree': 16, 'field': [17850625, 0, -7799350, 0, 41702609, 0, -7039006, 0, 806404, 0, -63422, 0, 3281, 0, -86, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [2, 12]}
  • id: 2754651
    {'degree': 16, 'field': [338694900625, 0, 44292733000, 0, -9902042100, 0, -189773800, 0, -5153610, 0, -205640, 0, 8236, 0, -152, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [8]}
  • id: 2754654
    {'degree': 18, 'field': [-420519628736, -408005661696, 130366421760, 306142234832, 134855377620, 19429356624, -3258130831, -1900087920, -237152583, 56230040, 18007230, -771180, -626515, 19500, 16890, -268, -243, 0, 1], 'lmfdb_label': '57200.c2', 'torsion': [18]}
• 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: 1375279
    {'conductor': 57200, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '57200.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1375280
    {'conductor': 57200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '57200.c2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1375281
    {'conductor': 57200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '57200.c2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1375282
    {'conductor': 57200, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '57200.c2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2043743
    {'adelic_gens': [[11441, 12, 2860, 1], [9285, 12152, 9322, 12163], [9370, 3, 12453, 17152], [17150, 17157, 3459, 8], [1, 0, 12, 1], [11, 2, 17110, 17151], [1, 6, 6, 37], [17149, 12, 17148, 13], [1, 12, 0, 1], [2641, 12, 15846, 73], [8581, 12, 6, 73]], 'adelic_image': '17160.96.1.?', 'conductor': 57200, 'lmfdb_label': '57200.c2', 'prime': 0}
  • id: 242661
    {'conductor': 57200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '57200.c2', 'modell_image': '2B', 'prime': 2}
  • id: 242662
    {'conductor': 57200, 'elladic_image': '3.4.0.1', 'lmfdb_label': '57200.c2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 57200.c does not appear in ec_padic