Elliptic curve data - 52800.cp3

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

  
  {'Ciso': '52800x', 'Clabel': '52800x3', 'Cnumber': 3, 'abc_quality': 0.9815669003008649, 'absD': 2459125785600000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 440, 'ainvs': [0, -1, 0, -380033, 49511937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 52800, 'degree': 786432, 'elladic_images': ['8.48.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2266806772731470689346794760', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '52800.cp', 'lmfdb_label': '52800.cp3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.48.0-8.d.2.15', '40.96.0-40.n.1.8', '88.96.0.?', '440.192.1.?'], '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, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49776548030950313574465698078', 'prec': 103}, 'szpiro_ratio': 4.612508431163595, '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, -1, 0, 0, 0, 0, 0, 1, 0, 1, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, -1, 0, 0, 1, -2, 6, 4, 0, -6, -8, 6, 10, -4, 8, -10, 12, -6, -4, 0, 14, 0, 4, -6, 14], 'class_deg': 8, 'class_size': 6, 'conductor': 52800, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '52800.cp', 'trace_hash': 1595875496900415107}
• 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': '0.011639377068692021650952843122', 'prec': 107}, 'conductor': 52800, 'gens': [], 'heights': [], 'lmfdb_label': '52800.cp3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.23373262946132920900657006880', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8698610356906336720525605503645702365', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[137, 0, 1], [537, 0, 1]], 'xcoord_integral_points': [-673, 137, 537]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '52800.cp3'}
• ec_torsion_growth •

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

  
  
  • id: 2555158
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 4]}
  • id: 2555159
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 4]}
  • id: 2555160
    {'degree': 4, 'field': [25, 0, 0, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [4, 4]}
  • id: 2555165
    {'degree': 8, 'field': [-30000, 0, 7840, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 6]}
  • id: 2555164
    {'degree': 8, 'field': [59, -172, 312, -304, 213, -76, 30, -4, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 8]}
  • id: 2555161
    {'degree': 8, 'field': [81, 0, 124, 0, -14, 0, 4, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [4, 8]}
  • id: 2555163
    {'degree': 8, 'field': [1881, -660, 848, -396, 249, -64, 26, -4, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 8]}
  • id: 2555162
    {'degree': 8, 'field': [6561, 0, -10604, 0, 646, 0, -44, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 8]}
  • id: 2555166
    {'degree': 16, 'field': [14436, -9048, 12652, -11256, 19586, -28952, 34622, -31532, 22557, -13112, 6314, -2492, 840, -224, 52, -8, 1], 'lmfdb_label': '52800.cp3', 'torsion': [4, 8]}
  • id: 2555167
    {'degree': 16, 'field': [63001, 0, 114220, 0, 142606, 0, 30240, 0, -3249, 0, -840, 0, 226, 0, -20, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [4, 8]}
  • id: 2555168
    {'degree': 16, 'field': [42549529, 0, -549219968, 0, 76939060, 0, -1462416, 0, 306510, 0, -59424, 0, 2788, 0, -80, 0, 1], 'lmfdb_label': '52800.cp3', 'torsion': [2, 12]}
  • id: 2555169
    {'degree': 16, 'field': [42549529, 0, 549219968, 0, 76939060, 0, 1462416, 0, 306510, 0, 59424, 0, 2788, 0, 80, 0, 1], 'lmfdb_label': '52800.cp3', '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: 1265248
    {'conductor': 52800, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '52800.cp3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1265249
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '52800.cp3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1265250
    {'conductor': 52800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '52800.cp3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1265251
    {'conductor': 52800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '52800.cp3', 'prime': 11, 'reduction_type': 1, '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: 2014875
    {'adelic_gens': [[1, 0, 8, 1], [433, 8, 432, 9], [1, 8, 0, 1], [437, 322, 338, 21], [321, 8, 404, 33], [1, 334, 4, 127], [81, 434, 182, 5], [5, 4, 436, 437]], 'adelic_image': '440.192.1.?', 'conductor': 52800, 'lmfdb_label': '52800.cp3', 'prime': 0}
  • id: 225672
    {'conductor': 52800, 'elladic_image': '8.48.0.15', 'lmfdb_label': '52800.cp3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 52800.cp does not appear in ec_padic