Elliptic curve data - 52560.q1

Formats: - HTML - YAML - JSON - 2026-04-01T20:29:47.718202

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '52560q', 'Clabel': '52560q2', 'Cnumber': 2, 'abc_quality': 0.9092838362731157, 'absD': 59671157760000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1752, 'ainvs': [0, 0, 0, -10083, 117218], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 73], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 52560, 'degree': 147456, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3349526640508376017734568569', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [37966934881, 19983750], 'lmfdb_iso': '52560.q', 'lmfdb_label': '52560.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -70, 62], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '292.6.0.?', '1752.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.78310691263320375057842882280', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 8, 5840], [5, 6, 10512], [73, 74, 720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.092499339156837446658602116981', 'prec': 107}, 'szpiro_ratio': 3.6127384283676873, '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, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, -4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, -1, 2, 6, -4, 0, 4, 8, -10, -2, -2, -6, 0, 0, -2, -6, 6, 4, 0, -1, 8, -6, -2, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 52560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '52560.q', 'trace_hash': 1958897931058789858}
• 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': '0.069258781859334856130449155979', 'prec': 107}, 'conductor': 52560, 'gens': [[313, 5256, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.78310691263320375057842882280', 'prec': 103}], 'lmfdb_label': '52560.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54825213319103074462765186399', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.8694405658847375923456961741778255038', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[94, 0, 1]], 'xcoord_integral_points': [94, 103, 169, 313, 1919]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0], '73': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '52560.q1'}
• ec_torsion_growth •

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

  
  
  • id: 2545363
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '52560.q1', 'torsion': [2, 2]}
  • id: 2545364
    {'degree': 4, 'field': [9, -3, -12, -1, 1], 'lmfdb_label': '52560.q1', 'torsion': [4]}
  • id: 2545367
    {'degree': 8, 'field': [-1728, 0, 2256, 0, -144, 0, 0, 0, 1], 'lmfdb_label': '52560.q1', 'torsion': [6]}
  • id: 2545365
    {'degree': 8, 'field': [243, 1134, -1179, -522, 510, 54, -47, -2, 1], 'lmfdb_label': '52560.q1', 'torsion': [2, 4]}
  • id: 2545366
    {'degree': 8, 'field': [4761, 0, -756, 0, 492, 0, -36, 0, 1], 'lmfdb_label': '52560.q1', 'torsion': [2, 4]}
  • id: 2545368
    {'degree': 16, 'field': [45386541, 124332030, 11698776, -50551830, -12022041, 11986842, 5830740, -3078288, -955628, 601538, 8852, -43590, 4751, 822, -136, -4, 1], 'lmfdb_label': '52560.q1', 'torsion': [8]}
  • id: 2545369
    {'degree': 16, 'field': [62726400, 0, 2916864, 0, -737280, 0, -6179328, 0, 636192, 0, -11040, 0, 720, 0, -48, 0, 1], 'lmfdb_label': '52560.q1', 'torsion': [2, 6]}
• 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: 1259771
    {'conductor': 52560, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '52560.q1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1259772
    {'conductor': 52560, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '52560.q1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1259773
    {'conductor': 52560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '52560.q1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1259774
    {'conductor': 52560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '52560.q1', 'prime': 73, '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: 2013392
    {'adelic_gens': [[1749, 4, 1748, 5], [1, 2, 2, 5], [586, 1, 583, 0], [1, 4, 0, 1], [1465, 4, 1178, 9], [220, 1537, 657, 1096], [1, 0, 4, 1], [2, 1, 875, 0], [3, 4, 8, 11]], 'adelic_image': '1752.12.0.?', 'conductor': 52560, 'lmfdb_label': '52560.q1', 'prime': 0}
  • id: 224833
    {'conductor': 52560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '52560.q1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 2648501
    {'lmfdb_iso': '52560.q', 'p': 7, 'prec': 20, 'unit': 10723749116698320, 'val': 1}
  • id: 2648503
    {'lmfdb_iso': '52560.q', 'p': 11, 'prec': 20, 'unit': 66014434060625031, 'val': 2}
  • id: 2648505
    {'lmfdb_iso': '52560.q', 'p': 13, 'prec': 20, 'unit': 1147539027996007173968, 'val': 1}
  • id: 2648497
    {'lmfdb_iso': '52560.q', 'p': 19, 'prec': 20, 'unit': 262544521005376256879384, 'val': 1}
  • id: 2648509
    {'lmfdb_iso': '52560.q', 'p': 23, 'prec': 20, 'unit': 40066607010072956097995055, 'val': 1}
  • id: 2648504
    {'lmfdb_iso': '52560.q', 'p': 29, 'prec': 20, 'unit': 5770372775511612397132511860, 'val': 1}
  • id: 2648513
    {'lmfdb_iso': '52560.q', 'p': 31, 'prec': 20, 'unit': 10186637035512211635343697338, 'val': 1}
  • id: 2648500
    {'lmfdb_iso': '52560.q', 'p': 37, 'prec': 20, 'unit': 274307481244953356738995201630, 'val': 1}
  • id: 2648502
    {'lmfdb_iso': '52560.q', 'p': 41, 'prec': 20, 'unit': 2119137547983070598610444429570, 'val': 1}
  • id: 2648508
    {'lmfdb_iso': '52560.q', 'p': 53, 'prec': 20, 'unit': 86499167138245608425278046519336, 'val': 1}
  • id: 2648511
    {'lmfdb_iso': '52560.q', 'p': 59, 'prec': 20, 'unit': 1410393562488799895367459140043185, 'val': 1}
  • id: 2648512
    {'lmfdb_iso': '52560.q', 'p': 61, 'prec': 20, 'unit': 3337163312684430124335244022668451, 'val': 1}
  • id: 2648499
    {'lmfdb_iso': '52560.q', 'p': 67, 'prec': 20, 'unit': 37635453802928772671257964806434798, 'val': 1}
  • id: 2648506
    {'lmfdb_iso': '52560.q', 'p': 79, 'prec': 20, 'unit': 15530757375273883850013571892397979, 'val': 1}
  • id: 2648507
    {'lmfdb_iso': '52560.q', 'p': 83, 'prec': 20, 'unit': 2675959276881893162660327800641236666, 'val': 1}
  • id: 2648510
    {'lmfdb_iso': '52560.q', 'p': 89, 'prec': 20, 'unit': 9971499525641848150403406489857676505, 'val': 1}
  • id: 2648498
    {'lmfdb_iso': '52560.q', 'p': 97, 'prec': 20, 'unit': 14334877577846317010716962901152733018, 'val': 1}