Elliptic curve data - 9360.k4

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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': '9360l', 'Clabel': '9360l2', 'Cnumber': 2, 'abc_quality': 1.0142518435034014, 'absD': 2428557824160000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 312, 'ainvs': [0, 0, 0, -1368903, 616458598], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 9360, 'degree': 122880, 'elladic_images': ['8.48.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1203038099026542345844054244', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2, 4], 'jinv': [1520107298839022416, 13013105625], 'lmfdb_iso': '9360.k', 'lmfdb_label': '9360.k4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -152100, 22882500], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.2', '8.48.0-8.d.1.7', '12.48.0-12.c.1.2', '24.96.0-24.g.2.2', '104.96.0.?', '312.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3887339220977692846523336035', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1088995451953025159419613916', 'prec': 100}, 'szpiro_ratio': 5.905618907176874, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 0, 0, 0, 0, -4, 0, 1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, -1, 0, -4, 1, -2, 4, 8, -6, -8, 6, -2, 12, -8, 2, 12, -2, -12, 16, 10, -8, -12, -18, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 9360, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '9360.k', 'trace_hash': 1250042453573958657}
• 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': '0.014398840164077694539263590337', 'prec': 107}, 'conductor': 9360, 'gens': [[-298, 31590, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3887339220977692846523336035', 'prec': 100}], 'lmfdb_label': '9360.k4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.41264909140942366808960663455', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9428355302900540516593883009507940316', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[674, 0, 1], [677, 0, 1]], 'xcoord_integral_points': [-1351, -298, 674, 677, 2549]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 3, 0], '11': [1, 0], '13': [4, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '9360.k4'}
• ec_torsion_growth •

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

  
  
  • id: 486157
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 4]}
  • id: 486156
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 4]}
  • id: 486158
    {'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [4, 4]}
  • id: 486159
    {'degree': 4, 'field': [169, 0, -52, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 8]}
  • id: 486162
    {'degree': 8, 'field': [72, -192, 288, -160, 104, -28, -2, -2, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 6]}
  • id: 486160
    {'degree': 8, 'field': [361, 0, 326, 0, 102, 0, 14, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 8]}
  • id: 486161
    {'degree': 8, 'field': [28561, 0, 0, 0, -169, 0, 0, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [4, 8]}
  • id: 486165
    {'degree': 16, 'field': [-1609631, 1054216, 5193992, -4220056, -3054568, 2798528, 589692, -632976, -29912, 51288, -5088, -1360, 764, 128, -28, -8, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 16]}
  • id: 486166
    {'degree': 16, 'field': [9, 0, -168, 0, -56, 0, 336, 0, -546, 0, 728, 0, 84, 0, 0, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 12]}
  • id: 486164
    {'degree': 16, 'field': [961, 8184, 24344, 19640, -26272, -18744, 39830, -26508, 7747, 24, -770, -32, 258, -140, 46, -8, 1], 'lmfdb_label': '9360.k4', 'torsion': [4, 8]}
  • id: 486167
    {'degree': 16, 'field': [2304, 0, -5376, 0, 13696, 0, 2688, 0, 624, 0, -224, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [2, 12]}
  • id: 486163
    {'degree': 16, 'field': [81796, 446160, 1089192, 1516320, 1047406, 212700, 45792, -13890, -13521, -2250, -1368, -570, 121, 0, 12, 0, 1], 'lmfdb_label': '9360.k4', 'torsion': [4, 8]}
• 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: 196512
    {'conductor': 9360, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '9360.k4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 196513
    {'conductor': 9360, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '9360.k4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 196514
    {'conductor': 9360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9360.k4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 196515
    {'conductor': 9360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '9360.k4', 'prime': 13, '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: 1725868
    {'adelic_gens': [[161, 240, 208, 125], [97, 306, 6, 5], [1, 0, 8, 1], [307, 232, 310, 77], [145, 8, 268, 33], [1, 8, 0, 1], [5, 4, 308, 309], [305, 8, 304, 9]], 'adelic_image': '312.192.1.?', 'conductor': 9360, 'lmfdb_label': '9360.k4', 'prime': 0}
  • id: 45431
    {'conductor': 9360, 'elladic_image': '8.48.0.10', 'lmfdb_label': '9360.k4', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 392085
    {'lmfdb_iso': '9360.k', 'p': 11, 'prec': 20, 'unit': 44699264098529087682, 'val': 1}
  • id: 392086
    {'lmfdb_iso': '9360.k', 'p': 17, 'prec': 20, 'unit': 20496948928339300573514, 'val': 1}
  • id: 392087
    {'lmfdb_iso': '9360.k', 'p': 19, 'prec': 20, 'unit': 1624153936022454101573782, 'val': 1}
  • id: 392091
    {'lmfdb_iso': '9360.k', 'p': 23, 'prec': 20, 'unit': 25581765728563847315400246, 'val': 1}
  • id: 392083
    {'lmfdb_iso': '9360.k', 'p': 29, 'prec': 20, 'unit': 1951318057111581982410466185, 'val': 1}
  • id: 392095
    {'lmfdb_iso': '9360.k', 'p': 31, 'prec': 20, 'unit': 4666602171701437700420856533, 'val': 1}
  • id: 392079
    {'lmfdb_iso': '9360.k', 'p': 37, 'prec': 20, 'unit': 578908935766335889884015169932, 'val': 1}
  • id: 392081
    {'lmfdb_iso': '9360.k', 'p': 41, 'prec': 20, 'unit': 2918066652493636561654928809974, 'val': 1}
  • id: 392082
    {'lmfdb_iso': '9360.k', 'p': 43, 'prec': 20, 'unit': 245848045555499563916617162439, 'val': 2}
  • id: 392093
    {'lmfdb_iso': '9360.k', 'p': 47, 'prec': 20, 'unit': 12284805682749899003105434047381, 'val': 1}
  • id: 392088
    {'lmfdb_iso': '9360.k', 'p': 53, 'prec': 20, 'unit': 415458997648977639121494462002248, 'val': 1}
  • id: 392089
    {'lmfdb_iso': '9360.k', 'p': 59, 'prec': 20, 'unit': 3517776875898659770335431016455511, 'val': 1}
  • id: 392094
    {'lmfdb_iso': '9360.k', 'p': 61, 'prec': 20, 'unit': 5520237810080858043156704282367684, 'val': 1}
  • id: 392078
    {'lmfdb_iso': '9360.k', 'p': 67, 'prec': 20, 'unit': 23672143620750738602725044227344019, 'val': 1}
  • id: 392080
    {'lmfdb_iso': '9360.k', 'p': 71, 'prec': 20, 'unit': 3307025001978277094002620563470367, 'val': 1}
  • id: 392090
    {'lmfdb_iso': '9360.k', 'p': 73, 'prec': 20, 'unit': 156525522235376672431128082002372590, 'val': 1}
  • id: 392084
    {'lmfdb_iso': '9360.k', 'p': 79, 'prec': 20, 'unit': 1113216189325396395875416615269640487, 'val': 1}
  • id: 392077
    {'lmfdb_iso': '9360.k', 'p': 83, 'prec': 20, 'unit': 590253485881955604809812145802104676, 'val': 1}
  • id: 392092
    {'lmfdb_iso': '9360.k', 'p': 89, 'prec': 20, 'unit': 77187377979249779203034347988816856, 'val': 1}
  • id: 392076
    {'lmfdb_iso': '9360.k', 'p': 97, 'prec': 20, 'unit': 54313476768752273298276827289955208930, 'val': 1}