Elliptic curve data - 36300.by2

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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': '36300cc', 'Clabel': '36300cc2', 'Cnumber': 2, 'abc_quality': 0.9736344697696858, 'absD': 3645411138480672000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, 1, 0, 243412, 79465428], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 36300, 'degree': 552960, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2457393141327098329184293807', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 50, 'isogeny_degrees': [1, 2], 'jinv': [28134667888, 64304361], 'lmfdb_iso': '36300.by', 'lmfdb_label': '36300.by2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 2012, -58972], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '20.12.0.l.1', '24.12.0.bu.1', '88.12.0.?', '120.24.0.?', '264.24.0.?', '440.24.0.?', '1320.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7195881261456360176782136184', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 605], [3, 4, 12100], [5, 10, 1452], [11, 72, 300]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18233407925170259429244634411', 'prec': 103}, 'szpiro_ratio': 4.7528378111575185, '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, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0], 'aplist': [0, 1, 0, 0, 0, 4, 0, 8, -4, -2, 4, -8, 2, 0, 4, -12, -12, -2, -12, 0, -12, -12, -8, 6, 0], 'class_deg': 2, 'class_size': 2, 'conductor': 36300, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '36300.by', 'trace_hash': 371442238035378376}
• 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': '0.011204064908532472459149875446', 'prec': 107}, 'conductor': 36300, 'gens': [[1363, 54270, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7195881261456360176782136184', 'prec': 100}], 'lmfdb_label': '36300.by2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.17343692704333250033689587663', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.7413672135867982291513606402330844281', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-257, 0, 1]], 'xcoord_integral_points': [-257, 1363]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [6, 0], '5': 'a', '7': [1, 3, 0], '11': 'a', '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '36300.by2'}
• ec_torsion_growth •

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

  
  
  • id: 1799088
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '36300.by2', 'torsion': [2, 2]}
  • id: 1799089
    {'degree': 4, 'field': [-605, 0, 0, 0, 1], 'lmfdb_label': '36300.by2', 'torsion': [4]}
  • id: 1799090
    {'degree': 8, 'field': [196, 0, -8, 0, 284, 0, -32, 0, 1], 'lmfdb_label': '36300.by2', 'torsion': [2, 4]}
  • id: 1799092
    {'degree': 8, 'field': [1156, -68, 40, -433, -556, -157, -5, -2, 1], 'lmfdb_label': '36300.by2', 'torsion': [6]}
  • id: 1799091
    {'degree': 8, 'field': [22801, 302, 2, -610, 311, -10, 8, -4, 1], 'lmfdb_label': '36300.by2', 'torsion': [2, 4]}
  • id: 1799094
    {'degree': 16, 'field': [6561, 0, 34992, 0, -98010, 0, -223668, 0, -179861, 0, 3308, 0, 870, 0, -52, 0, 1], 'lmfdb_label': '36300.by2', 'torsion': [8]}
  • id: 1799093
    {'degree': 16, 'field': [63001, 0, 805168, 0, 560170, 0, 248508, 0, 72279, 0, 12012, 0, 1090, 0, 52, 0, 1], 'lmfdb_label': '36300.by2', 'torsion': [4, 4]}
  • id: 1799095
    {'degree': 16, 'field': [90000, 0, 180000, 0, 25500, 0, 3125, 0, 7250, 0, -475, 0, 85, 0, 10, 0, 1], 'lmfdb_label': '36300.by2', '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: 855555
    {'conductor': 36300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '36300.by2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 855556
    {'conductor': 36300, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '36300.by2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 855557
    {'conductor': 36300, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '36300.by2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 855558
    {'conductor': 36300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '36300.by2', 'prime': 11, 'reduction_type': 0, '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: 1906705
    {'adelic_gens': [[725, 2, 22, 9], [1, 0, 8, 1], [1, 8, 0, 1], [992, 333, 661, 332], [1, 4, 4, 17], [1062, 19, 521, 1298], [1313, 8, 1312, 9], [881, 8, 884, 33], [5, 8, 48, 77], [3, 8, 1312, 1299], [1, 338, 330, 1]], 'adelic_image': '1320.48.1.?', 'conductor': 36300, 'lmfdb_label': '36300.by2', 'prime': 0}
  • id: 160817
    {'conductor': 36300, 'elladic_image': '4.6.0.4', 'lmfdb_label': '36300.by2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1786383
    {'lmfdb_iso': '36300.by', 'p': 13, 'prec': 20, 'unit': 74445649909110654097, 'val': 2}
  • id: 1786377
    {'lmfdb_iso': '36300.by', 'p': 19, 'prec': 20, 'unit': 1634220965957204361998274, 'val': 1}
  • id: 1786381
    {'lmfdb_iso': '36300.by', 'p': 23, 'prec': 20, 'unit': 17909601190069789278133, 'val': 2}
  • id: 1786382
    {'lmfdb_iso': '36300.by', 'p': 29, 'prec': 20, 'unit': 5926361328369649190828681255, 'val': 1}
  • id: 1786392
    {'lmfdb_iso': '36300.by', 'p': 31, 'prec': 20, 'unit': 21333113377277465163073610580, 'val': 1}
  • id: 1786379
    {'lmfdb_iso': '36300.by', 'p': 37, 'prec': 20, 'unit': 279421399038555726714344015182, 'val': 1}
  • id: 1786380
    {'lmfdb_iso': '36300.by', 'p': 41, 'prec': 20, 'unit': 3035724838838945954671655007431, 'val': 1}
  • id: 1786390
    {'lmfdb_iso': '36300.by', 'p': 47, 'prec': 20, 'unit': 3002962421192840270239829737365, 'val': 1}
  • id: 1786387
    {'lmfdb_iso': '36300.by', 'p': 53, 'prec': 20, 'unit': 103487001791838691273514381810272, 'val': 1}
  • id: 1786385
    {'lmfdb_iso': '36300.by', 'p': 59, 'prec': 20, 'unit': 50290203205827590813782956164148, 'val': 2}
  • id: 1786391
    {'lmfdb_iso': '36300.by', 'p': 61, 'prec': 20, 'unit': 3308120775298076447350415351861099, 'val': 1}
  • id: 1786378
    {'lmfdb_iso': '36300.by', 'p': 67, 'prec': 20, 'unit': 37808983916304817905155483330560504, 'val': 1}
  • id: 1786388
    {'lmfdb_iso': '36300.by', 'p': 73, 'prec': 20, 'unit': 113780799749173128221229952979523466, 'val': 1}
  • id: 1786384
    {'lmfdb_iso': '36300.by', 'p': 79, 'prec': 20, 'unit': 471578281948477854376509923095840569, 'val': 1}
  • id: 1786386
    {'lmfdb_iso': '36300.by', 'p': 83, 'prec': 20, 'unit': 2400029479812158980588067333244360637, 'val': 1}
  • id: 1786389
    {'lmfdb_iso': '36300.by', 'p': 89, 'prec': 20, 'unit': 4038348771889760703189862309771572860, 'val': 1}