Elliptic curve data - 16928.d1

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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': '16928e', 'Clabel': '16928e2', 'Cnumber': 2, 'abc_quality': 1.172456969504371, 'absD': 75794375168, 'ainvs': [0, 0, 0, -5819, -170338], 'analytic_rank': 1, 'bad_primes': [2, 23], 'class_deg': 4, 'class_size': 4, 'cm': -16, 'conductor': 16928, 'degree': 12672, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.95036136261301063656833345406', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [287496, 1], 'lmfdb_iso': '16928.d', 'lmfdb_label': '16928.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -11, -14], 'min_quad_twist_disc': 92, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1839396057763235883178679525', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1372461307715231908979670529', 'prec': 103}, 'szpiro_ratio': 3.863748510655045, '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, 2, 0, 0, 0, -3, 0, 0, 0, 6, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, 0, 2, 0, 0, 6, -2, 0, 0, -10, 0, 2, 10, 0, 0, -14, 0, 10, 0, 0, -6, 0, 0, -10, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 16928, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '16928.d', 'trace_hash': 2118983393132689891}
• 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': '0.14946056126131245277152382130', 'prec': 103}, 'conductor': 16928, 'gens': [[6049, 341734, 7]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1839396057763235883178679525', 'prec': 100}], 'lmfdb_label': '16928.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54673679455714785973653888108', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6685010464799837922904855483212786814', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-46, 0, 1]], 'xcoord_integral_points': [-46]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 3, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': 'a', '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '16928.d1'}
• ec_torsion_growth •

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

  
  
  • id: 868266
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 2]}
  • id: 868267
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '16928.d1', 'torsion': [4]}
  • id: 868268
    {'degree': 2, 'field': [46, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [4]}
  • id: 868269
    {'degree': 4, 'field': [62, -8, 9, -2, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 4]}
  • id: 868273
    {'degree': 8, 'field': [-37523, -31948, -5342, 1436, -776, -16, 10, -4, 1], 'lmfdb_label': '16928.d1', 'torsion': [6]}
  • id: 868271
    {'degree': 8, 'field': [706, 352, -514, -40, 223, -4, -26, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [8]}
  • id: 868270
    {'degree': 8, 'field': [2401, 0, -724, 0, -232, 0, -4, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 4]}
  • id: 868272
    {'degree': 8, 'field': [3646, -1144, 1328, -384, 233, -52, 22, -4, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 8]}
  • id: 868274
    {'degree': 8, 'field': [88034, -30716, 2888, 968, 128, -44, 2, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [10]}
  • id: 868276
    {'degree': 16, 'field': [127346, 316544, 112852, -613376, -234878, 460160, 128476, -176292, -30149, 38364, 2720, -4764, 66, 308, -24, -8, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 8]}
  • id: 868281
    {'degree': 16, 'field': [342334, -183948, 729184, -82224, 758704, 34488, 360358, 10404, 87559, 432, 12718, -12, 1108, 0, 52, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [12]}
  • id: 868275
    {'degree': 16, 'field': [503154, -860952, 1636052, -1927608, 2008970, -1554128, 1065168, -567544, 274499, -103464, 36568, -9720, 2530, -448, 84, -8, 1], 'lmfdb_label': '16928.d1', 'torsion': [4, 4]}
  • id: 868282
    {'degree': 16, 'field': [1813466, 898796, 2222740, 757832, 1145880, 233096, 354026, 32492, 73463, 1544, 10074, -84, 872, -8, 44, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [20]}
  • id: 868284
    {'degree': 16, 'field': [17566921, 12808844, -4765676, -5882288, -170534, 1237096, 198048, -169776, -19364, 12692, 3300, -2104, 286, -64, 36, -8, 1], 'lmfdb_label': '16928.d1', 'torsion': [20]}
  • id: 868279
    {'degree': 16, 'field': [152200798, 80726136, 108607772, 49523808, 31064056, 11561352, 4207220, 1232136, 215776, 47868, -10480, -1992, -1214, -144, -4, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 6]}
  • id: 868283
    {'degree': 16, 'field': [297804049, 0, 215403644, 0, 65783668, 0, 11380460, 0, 1230154, 0, 85244, 0, 3700, 0, 92, 0, 1], 'lmfdb_label': '16928.d1', 'torsion': [12]}
  • id: 868278
    {'degree': 16, 'field': [332647421, 602619580, 260133150, 9596144, -63709484, -16500000, 126136, 1850748, -238069, -137516, -21092, 3652, -248, 96, 6, -4, 1], 'lmfdb_label': '16928.d1', 'torsion': [10]}
  • id: 868280
    {'degree': 16, 'field': [489183913, 300809900, -239857724, -156854768, 55394026, 35799688, -8012448, -4612080, 781468, 364244, -51372, -18040, 2302, 512, -60, -8, 1], 'lmfdb_label': '16928.d1', 'torsion': [2, 10]}
  • id: 868277
    {'degree': 16, 'field': [2773971289, 1009080868, 147139490, 85195572, 113037650, 4258172, -1497542, 1792464, 391519, -143004, 15730, 2008, -2140, 132, 8, -4, 1], 'lmfdb_label': '16928.d1', 'torsion': [3, 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: 377572
    {'conductor': 16928, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16928.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 377573
    {'conductor': 16928, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '16928.d1', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• lmfdb_label 16928.d1 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 770803
    {'lmfdb_iso': '16928.d', 'p': 5, 'prec': 20, 'unit': 10043962293213, 'val': 1}
  • id: 770796
    {'lmfdb_iso': '16928.d', 'p': 13, 'prec': 20, 'unit': 348481222519834296992, 'val': 1}
  • id: 770798
    {'lmfdb_iso': '16928.d', 'p': 17, 'prec': 20, 'unit': 64723106052417615832794, 'val': 1}
  • id: 770797
    {'lmfdb_iso': '16928.d', 'p': 29, 'prec': 20, 'unit': 1416465272070287453864928913, 'val': 1}
  • id: 770794
    {'lmfdb_iso': '16928.d', 'p': 37, 'prec': 20, 'unit': 593051910769496756712919425802, 'val': 1}
  • id: 770795
    {'lmfdb_iso': '16928.d', 'p': 41, 'prec': 20, 'unit': 1217192368979708013581369611604, 'val': 1}
  • id: 770799
    {'lmfdb_iso': '16928.d', 'p': 53, 'prec': 20, 'unit': 521548940069726875595904817452313, 'val': 1}
  • id: 770802
    {'lmfdb_iso': '16928.d', 'p': 61, 'prec': 20, 'unit': 4347176903446379381976814767088391, 'val': 1}
  • id: 770800
    {'lmfdb_iso': '16928.d', 'p': 73, 'prec': 20, 'unit': 112033246681419773204369207278633563, 'val': 1}
  • id: 770801
    {'lmfdb_iso': '16928.d', 'p': 89, 'prec': 20, 'unit': 7597743762048725957899726390110158415, 'val': 1}
  • id: 770793
    {'lmfdb_iso': '16928.d', 'p': 97, 'prec': 20, 'unit': 8697983626398254964898545902991472767, 'val': 1}