Elliptic curve data - 5424.e1

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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
  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': '5424l', 'Clabel': '5424l2', 'Cnumber': 2, 'abc_quality': 1.055383581120981, 'absD': 11563526457498845184, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 9492, 'ainvs': [0, -1, 0, -113936, 164313792], 'analytic_rank': 1, 'bad_primes': [2, 3, 113], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 5424, 'degree': 84672, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3375944577288234864712536936', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 7], 'jinv': [-39934705050538129, 2823126576537804], 'lmfdb_iso': '5424.e', 'lmfdb_label': '5424.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7121, -2567403], 'min_quad_twist_disc': -4, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '28.48.0-7.a.2.1', '678.2.0.?', '4746.48.2.?', '9492.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.59671810093153175881680945143', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 339], [3, 4, 1808], [7, 2, 48], [113, 114, 48]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6444472771688781770540215721', 'prec': 100}, 'szpiro_ratio': 5.972754515643181, '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, -1, 0, -1, 0, -1, 0, 1, 0, 2, 0, 7, 0, 1, 0, -3, 0, -6, 0], 'aplist': [0, -1, -1, -1, 2, 7, -3, -6, -3, 2, 3, -4, 0, -2, 8, -2, 3, -1, 2, 5, 4, 4, 0, 6, -14], 'class_deg': 7, 'class_size': 2, 'conductor': 5424, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '5424.e', 'trace_hash': 175509993081595118}
• 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': '0.0093237635682782207178589672335', 'prec': 110}, 'conductor': 5424, 'gens': [[4456, 408608, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '0.59671810093153175881680945143', 'prec': 103}], 'lmfdb_label': '5424.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.18686960207428844800020937058', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1222372740048120577042027942885071285', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [5, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 1, 0], '43': [1, 0], '47': [1, 0], '113': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '5424.e1'}
• ec_torsion_growth •

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

  
  
  • id: 282334
    {'degree': 3, 'field': [4, -1, -1, 1], 'lmfdb_label': '5424.e1', 'torsion': [2]}
  • id: 282336
    {'degree': 6, 'field': [-7, 0, 14, 0, -7, 0, 1], 'lmfdb_label': '5424.e1', 'torsion': [7]}
  • id: 282335
    {'degree': 6, 'field': [241, -182, 110, -26, 2, -2, 1], 'lmfdb_label': '5424.e1', 'torsion': [2, 2]}
  • id: 282337
    {'degree': 8, 'field': [-192, 0, -1520, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '5424.e1', 'torsion': [3]}
  • id: 282338
    {'degree': 12, 'field': [-692656, 33609, 286331, -45195, -35997, 16436, 268, -2040, 288, 71, -27, -1, 1], 'lmfdb_label': '5424.e1', 'torsion': [4]}
  • id: 282339
    {'degree': 14, 'field': [18, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '5424.e1', 'torsion': [7]}
  • id: 282340
    {'degree': 18, 'field': [841, -11310, 4920, 24878, 3858, 33044, -9650, 18742, -10181, 372, -3335, 1318, 1942, -1006, -129, 146, -12, -6, 1], 'lmfdb_label': '5424.e1', 'torsion': [14]}
• 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: 105788
    {'conductor': 5424, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '5424.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 105789
    {'conductor': 5424, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5424.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 105790
    {'conductor': 5424, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '5424.e1', 'prime': 113, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

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

  
  
  • id: 1699302
    {'adelic_gens': [[7909, 9478, 7903, 9393], [4759, 9478, 4760, 9477], [8, 5, 91, 57], [3, 3398, 4732, 2675], [1, 14, 0, 1], [4745, 0, 0, 9491], [2941, 14, 1603, 99], [1, 0, 14, 1], [9479, 14, 9478, 15]], 'adelic_image': '9492.96.2.?', 'conductor': 5424, 'lmfdb_label': '5424.e1', 'prime': 0}
  • id: 26788
    {'conductor': 5424, 'elladic_image': '7.24.0.2', 'lmfdb_label': '5424.e1', 'modell_image': '7B.6.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 203236
    {'lmfdb_iso': '5424.e', 'p': 5, 'prec': 20, 'unit': 524948812601, 'val': 3}
  • id: 203237
    {'lmfdb_iso': '5424.e', 'p': 7, 'prec': 20, 'unit': 8496230314746966, 'val': 1}
  • id: 203235
    {'lmfdb_iso': '5424.e', 'p': 11, 'prec': 20, 'unit': 4340081366997320238, 'val': 2}
  • id: 203242
    {'lmfdb_iso': '5424.e', 'p': 13, 'prec': 20, 'unit': 1097858435684318333019, 'val': 1}
  • id: 203244
    {'lmfdb_iso': '5424.e', 'p': 17, 'prec': 20, 'unit': 168204369131538921300295, 'val': 1}
  • id: 203245
    {'lmfdb_iso': '5424.e', 'p': 19, 'prec': 20, 'unit': 689294603551350781202177, 'val': 1}
  • id: 203248
    {'lmfdb_iso': '5424.e', 'p': 23, 'prec': 20, 'unit': 37416902859951722708909827, 'val': 1}
  • id: 203241
    {'lmfdb_iso': '5424.e', 'p': 29, 'prec': 20, 'unit': 2809593741077542686767677168, 'val': 1}
  • id: 203238
    {'lmfdb_iso': '5424.e', 'p': 31, 'prec': 20, 'unit': 7450462944436407571895139790, 'val': 1}
  • id: 203253
    {'lmfdb_iso': '5424.e', 'p': 37, 'prec': 20, 'unit': 593242078597405756999957982106, 'val': 1}
  • id: 203240
    {'lmfdb_iso': '5424.e', 'p': 43, 'prec': 20, 'unit': 6027809730792790243877170165422, 'val': 1}
  • id: 203251
    {'lmfdb_iso': '5424.e', 'p': 47, 'prec': 20, 'unit': 25231377887107457869663999960091, 'val': 1}
  • id: 203246
    {'lmfdb_iso': '5424.e', 'p': 53, 'prec': 20, 'unit': 326893052833053047206679586088669, 'val': 1}
  • id: 203247
    {'lmfdb_iso': '5424.e', 'p': 59, 'prec': 20, 'unit': 977170436916635920037991443300388, 'val': 1}
  • id: 203252
    {'lmfdb_iso': '5424.e', 'p': 61, 'prec': 20, 'unit': 2585571303267027108115180503207473, 'val': 1}
  • id: 203234
    {'lmfdb_iso': '5424.e', 'p': 67, 'prec': 20, 'unit': 1615756100787471310526035713403871, 'val': 1}
  • id: 203250
    {'lmfdb_iso': '5424.e', 'p': 71, 'prec': 20, 'unit': 136792335376047331383451682157710890, 'val': 1}
  • id: 203239
    {'lmfdb_iso': '5424.e', 'p': 73, 'prec': 20, 'unit': 188714517835684354395895212683840927, 'val': 1}
  • id: 203243
    {'lmfdb_iso': '5424.e', 'p': 79, 'prec': 20, 'unit': 71055862302274468866845804932012800, 'val': 1}
  • id: 203249
    {'lmfdb_iso': '5424.e', 'p': 89, 'prec': 20, 'unit': 6962929441487376098453766290173283486, 'val': 1}
  • id: 203233
    {'lmfdb_iso': '5424.e', 'p': 97, 'prec': 20, 'unit': 5158025539482539413530577920199488116, 'val': 1}