Elliptic curve data - 16562.a1

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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': '16562t', 'Clabel': '16562t1', 'Cnumber': 1, 'abc_quality': 1.1154957904127532, 'absD': 5064257989701638, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 728, 'ainvs': [1, -1, 0, 27431, 2936779], 'analytic_rank': 2, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 16562, 'degree': 290304, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6975727611137009225027757348', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [4019679, 8918], 'lmfdb_iso': '16562.a', 'lmfdb_label': '16562.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 3, -5], 'min_quad_twist_disc': -91, 'modell_images': [], 'modm_images': ['728.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.54164958345271290026306285707', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [7, 32, 338], [13, 98, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.55785699214472409807664435770', 'prec': 107}, 'szpiro_ratio': 4.458471931839567, '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, -1, -3, 1, -4, 3, 0, -1, 6, 4, -1, -3, 0, 0, 12, 1, 0, -6, -6, -4], 'aplist': [-1, -3, -4, 0, -1, 0, 0, -6, -7, -4, 7, -9, -3, 4, 7, 0, -10, -1, -1, -16, 5, 11, 0, -6, -1], 'class_deg': 1, 'class_size': 1, 'conductor': 16562, 'isogeny_matrix': [[1]], 'lmfdb_iso': '16562.a', 'trace_hash': 997582444203648823}
• 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': '0.033535673631119427108335600765', 'prec': 107}, 'conductor': 16562, 'gens': [[933, 28517, 1], [-521, 29765, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '0.33794169604721620915308101262', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.6383624671260813425273720545', 'prec': 100}], 'lmfdb_label': '16562.a1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.29963001846873043186603772206', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5967115950962641860240525738828601681', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-81, -67, 205, 247, 933, 1271]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [4, 6, 0], '5': [2, 0], '7': 'a', '11': [2, 0], '13': 'a', '17': [2, 2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '16562.a1'}
• ec_torsion_growth •

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

  
  
  • id: 847829
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '16562.a1', 'torsion': [2]}
  • id: 847830
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '16562.a1', 'torsion': [2, 2]}
  • id: 847831
    {'degree': 8, 'field': [-9138, -4521, 360, -141, -237, -3, 3, 0, 1], 'lmfdb_label': '16562.a1', 'torsion': [3]}
  • id: 847832
    {'degree': 12, 'field': [31486, 47086, 31447, 19240, 8779, 1726, 67, -292, -31, 86, -5, -4, 1], 'lmfdb_label': '16562.a1', 'torsion': [4]}
• 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: 367702
    {'conductor': 16562, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '16562.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 367703
    {'conductor': 16562, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '16562.a1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 367704
    {'conductor': 16562, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '16562.a1', 'prime': 13, '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

  
  {'adelic_gens': [[183, 2, 0, 1], [561, 2, 561, 3], [521, 2, 521, 3], [1, 0, 2, 1], [1, 2, 0, 1], [727, 2, 726, 3], [1, 1, 727, 0], [365, 2, 365, 3]], 'adelic_image': '728.2.0.?', 'conductor': 16562, 'lmfdb_label': '16562.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 751274
    {'lmfdb_iso': '16562.a', 'p': 5, 'prec': 20, 'unit': 7632146074671, 'val': 0}
  • id: 751281
    {'lmfdb_iso': '16562.a', 'p': 11, 'prec': 20, 'unit': 49183675735530013390, 'val': 2}
  • id: 751283
    {'lmfdb_iso': '16562.a', 'p': 19, 'prec': 20, 'unit': 1277566093784771989713018, 'val': 2}
  • id: 751285
    {'lmfdb_iso': '16562.a', 'p': 23, 'prec': 20, 'unit': 54468893399817065952869689, 'val': 2}
  • id: 751279
    {'lmfdb_iso': '16562.a', 'p': 29, 'prec': 20, 'unit': 3837444667867101978028513730, 'val': 2}
  • id: 751276
    {'lmfdb_iso': '16562.a', 'p': 31, 'prec': 20, 'unit': 5039585267114136581942624755, 'val': 2}
  • id: 751289
    {'lmfdb_iso': '16562.a', 'p': 37, 'prec': 20, 'unit': 501065899095415632896958273303, 'val': 2}
  • id: 751277
    {'lmfdb_iso': '16562.a', 'p': 41, 'prec': 20, 'unit': 3898090692112339513472561480861, 'val': 2}
  • id: 751278
    {'lmfdb_iso': '16562.a', 'p': 43, 'prec': 20, 'unit': 561460678787156539005712293747, 'val': 2}
  • id: 751287
    {'lmfdb_iso': '16562.a', 'p': 47, 'prec': 20, 'unit': 41666017391429308944175637434313, 'val': 2}
  • id: 751282
    {'lmfdb_iso': '16562.a', 'p': 59, 'prec': 20, 'unit': 36610060065100138470415490505350, 'val': 2}
  • id: 751288
    {'lmfdb_iso': '16562.a', 'p': 61, 'prec': 20, 'unit': 7970477611435096851784745052800213, 'val': 2}
  • id: 751273
    {'lmfdb_iso': '16562.a', 'p': 67, 'prec': 20, 'unit': 35298987995858764436784782981540953, 'val': 2}
  • id: 751275
    {'lmfdb_iso': '16562.a', 'p': 71, 'prec': 20, 'unit': 39609555572373528496196035997839469, 'val': 2}
  • id: 751284
    {'lmfdb_iso': '16562.a', 'p': 73, 'prec': 20, 'unit': 123613925666707265321674254673970433, 'val': 2}
  • id: 751280
    {'lmfdb_iso': '16562.a', 'p': 79, 'prec': 20, 'unit': 684010722785720631673613453849697545, 'val': 2}
  • id: 751286
    {'lmfdb_iso': '16562.a', 'p': 89, 'prec': 20, 'unit': 4164639772387456207516783430044951420, 'val': 2}
  • id: 751272
    {'lmfdb_iso': '16562.a', 'p': 97, 'prec': 20, 'unit': 23083466584096674232628406848046756498, 'val': 2}