Elliptic curve data - 17136.f2

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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': '17136g', 'Clabel': '17136g4', 'Cnumber': 4, 'abc_quality': 0.9042138661750012, 'absD': 2618619881472, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 0, 0, -8931, 315394], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 17136, 'degree': 24576, 'elladic_images': ['8.12.0.8'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1557280389517572520362840977', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [52767497666, 1753941], 'lmfdb_iso': '17136.f', 'lmfdb_label': '17136.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -992, 12012], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.4', '84.12.0.?', '168.24.0.?', '408.24.0.?', '952.24.0.?', '2856.48.0.?'], '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': '0.58733066250216201623086430482', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 63], [3, 8, 1904], [7, 8, 2448], [17, 18, 1008]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.028963020895580793960467965431', 'prec': 110}, 'szpiro_ratio': 3.9907381501290975, '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, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, 1, 0, 4, 0], 'aplist': [0, 0, -2, -1, -4, 2, 1, 4, -4, 2, 0, 2, 10, 4, -8, -6, -8, 2, 4, 12, -10, -8, 0, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 17136, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '17136.f', 'trace_hash': 596269939222770886}
• 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': '0.099116824618530663386013641697', 'prec': 107}, 'conductor': 17136, 'gens': [[45, 68, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.58733066250216201623086430482', 'prec': 103}], 'lmfdb_label': '17136.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.80565273295186783703507579190', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7854764271303836129866817936449687432', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[62, 0, 1]], 'xcoord_integral_points': [-91, 45, 62, 71, 351]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17136.f2'}
• ec_torsion_growth •

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

  
  
  • id: 876645
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [2, 2]}
  • id: 876647
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '17136.f2', 'torsion': [4]}
  • id: 876646
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [4]}
  • id: 876648
    {'degree': 4, 'field': [7, 14, -13, -2, 1], 'lmfdb_label': '17136.f2', 'torsion': [2, 4]}
  • id: 876652
    {'degree': 8, 'field': [-34992, 0, 0, 0, 648, 0, 20, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [6]}
  • id: 876650
    {'degree': 8, 'field': [441, 0, -23436, 0, 3180, 0, -108, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [8]}
  • id: 876651
    {'degree': 8, 'field': [1764, 0, -1470, 0, 1015, 0, -35, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [8]}
  • id: 876649
    {'degree': 8, 'field': [139876, 0, 9104, 0, -732, 0, 8, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [2, 4]}
  • id: 876658
    {'degree': 16, 'field': [-481872459, 2711983560, -2947490312, 486829456, -283393310, 49171792, -18292388, 1437592, -108741, -182688, 52140, -8552, 1486, -56, 28, -8, 1], 'lmfdb_label': '17136.f2', 'torsion': [12]}
  • id: 876655
    {'degree': 16, 'field': [50625, 0, -299700, 0, 622728, 0, -571104, 0, 251703, 0, -52992, 0, 4824, 0, -156, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [2, 8]}
  • id: 876653
    {'degree': 16, 'field': [194481, 0, 777924, 0, 1555848, 0, 592704, 0, 98343, 0, -28224, 0, 3528, 0, -84, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [4, 4]}
  • id: 876657
    {'degree': 16, 'field': [2082249, 0, -13108448, 0, -2620388, 0, -419532, 0, -13282, 0, 3608, 0, 336, 0, 4, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [12]}
  • id: 876654
    {'degree': 16, 'field': [2163841, 0, 1552070, 0, -477818, 0, -554404, 0, 242059, 0, -27052, 0, 1654, 0, 2, 0, 1], 'lmfdb_label': '17136.f2', 'torsion': [2, 8]}
  • id: 876656
    {'degree': 16, 'field': [323006414103, 388558865940, 91850913586, -8771175776, 112628278, 144330892, 409259392, 6116164, -6426672, 2996940, 16506, 4516, 3280, -20, 100, -8, 1], 'lmfdb_label': '17136.f2', '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: 381884
    {'conductor': 17136, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '17136.f2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 381885
    {'conductor': 17136, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '17136.f2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 381886
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17136.f2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 381887
    {'conductor': 17136, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '17136.f2', 'prime': 17, '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: 1778089
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [2689, 8, 2188, 33], [1, 4, 4, 17], [416, 3, 2045, 2], [1900, 2855, 929, 2850], [7, 6, 2850, 2851], [349, 356, 310, 1779], [2849, 8, 2848, 9], [360, 1793, 2491, 2478]], 'adelic_image': '2856.48.0.?', 'conductor': 17136, 'lmfdb_label': '17136.f2', 'prime': 0}
  • id: 80302
    {'conductor': 17136, 'elladic_image': '8.12.0.8', 'lmfdb_label': '17136.f2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 780369
    {'lmfdb_iso': '17136.f', 'p': 5, 'prec': 20, 'unit': 2840672901181, 'val': 1}
  • id: 780368
    {'lmfdb_iso': '17136.f', 'p': 11, 'prec': 20, 'unit': 59302694532122011546, 'val': 1}
  • id: 780374
    {'lmfdb_iso': '17136.f', 'p': 13, 'prec': 20, 'unit': 247166604208414465365, 'val': 1}
  • id: 780377
    {'lmfdb_iso': '17136.f', 'p': 19, 'prec': 20, 'unit': 627578801969843645996219, 'val': 1}
  • id: 780380
    {'lmfdb_iso': '17136.f', 'p': 23, 'prec': 20, 'unit': 55752154212673075723149750, 'val': 1}
  • id: 780373
    {'lmfdb_iso': '17136.f', 'p': 29, 'prec': 20, 'unit': 2059065204522184420790042318, 'val': 1}
  • id: 780384
    {'lmfdb_iso': '17136.f', 'p': 37, 'prec': 20, 'unit': 370037486773930095024657715457, 'val': 1}
  • id: 780371
    {'lmfdb_iso': '17136.f', 'p': 41, 'prec': 20, 'unit': 1329402090839904504039932985229, 'val': 1}
  • id: 780372
    {'lmfdb_iso': '17136.f', 'p': 43, 'prec': 20, 'unit': 747288359237803101616993681021, 'val': 1}
  • id: 780382
    {'lmfdb_iso': '17136.f', 'p': 47, 'prec': 20, 'unit': 2668821161331671152301283046326, 'val': 1}
  • id: 780378
    {'lmfdb_iso': '17136.f', 'p': 53, 'prec': 20, 'unit': 530801767830578216277587414653518, 'val': 1}
  • id: 780376
    {'lmfdb_iso': '17136.f', 'p': 59, 'prec': 20, 'unit': 3129836179779446882651869467293582, 'val': 1}
  • id: 780383
    {'lmfdb_iso': '17136.f', 'p': 61, 'prec': 20, 'unit': 6341302850007845831099801866217774, 'val': 1}
  • id: 780367
    {'lmfdb_iso': '17136.f', 'p': 67, 'prec': 20, 'unit': 2835619451424208019539582246185790, 'val': 1}
  • id: 780370
    {'lmfdb_iso': '17136.f', 'p': 71, 'prec': 20, 'unit': 112615900382327555260704761269969416, 'val': 1}
  • id: 780379
    {'lmfdb_iso': '17136.f', 'p': 73, 'prec': 20, 'unit': 65909232331297324721800147878612765, 'val': 1}
  • id: 780375
    {'lmfdb_iso': '17136.f', 'p': 79, 'prec': 20, 'unit': 754610595697623559048022828486301668, 'val': 1}
  • id: 780381
    {'lmfdb_iso': '17136.f', 'p': 89, 'prec': 20, 'unit': 4816052418276273356279215333575520957, 'val': 1}
  • id: 780366
    {'lmfdb_iso': '17136.f', 'p': 97, 'prec': 20, 'unit': 17322873730272998285998533716122142861, 'val': 1}