Elliptic curve data - 93138.t1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '93138r', 'Clabel': '93138r1', 'Cnumber': 1, 'abc_quality': 1.0412229288400812, 'absD': 9404893722787197444, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 516, 'ainvs': [1, 0, 1, -15928772, -24471071818], 'analytic_rank': 1, 'bad_primes': [2, 3, 19, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 93138, 'degree': 5458320, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7586467114318372223346844649', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1], 'jinv': [-9500554530751882177, 199908972324], 'lmfdb_iso': '93138.t', 'lmfdb_label': '93138.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -44124, 3549153], 'min_quad_twist_disc': -19, 'modell_images': [], 'modm_images': ['516.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3107649368844712742862922808', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 46569], [3, 4, 31046], [19, 182, 86], [43, 44, 2166]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2864272218486169923301707490', 'prec': 100}, 'szpiro_ratio': 5.363172815998971, '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, 1, 1, 3, -1, -1, -1, 1, -3, -1, 1, -1, 1, 3, 1, 4, -1, 0, 3], 'aplist': [-1, 1, 3, -1, -1, -1, 4, 0, -4, 9, -2, -2, 8, -1, -11, -4, 12, 0, -2, -12, 4, -14, 3, 10, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 93138, 'isogeny_matrix': [[1]], 'lmfdb_iso': '93138.t', 'trace_hash': 1032635753132579059}
• 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': '0.0040167047643278066718791636090', 'prec': 110}, 'conductor': 93138, 'gens': [[49815, 11056621, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3107649368844712742862922808', 'prec': 100}], 'lmfdb_label': '93138.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.037785349184333667149491318388', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6254260878916288466408797319369803555', 'prec': 130}, 'tamagawa_product': 38, 'torsion_generators': [], 'xcoord_integral_points': [49815]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': 'a', '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '93138.t1'}
• ec_torsion_growth •

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

  
  
  • id: 4347341
    {'degree': 3, 'field': [-9, 1, -1, 1], 'lmfdb_label': '93138.t1', 'torsion': [2]}
  • id: 4347342
    {'degree': 6, 'field': [144, 72, 114, 18, 7, -2, 1], 'lmfdb_label': '93138.t1', 'torsion': [2, 2]}
  • id: 4347343
    {'degree': 8, 'field': [1318620, -1206249, 391818, -44375, -1157, 445, -41, -2, 1], 'lmfdb_label': '93138.t1', 'torsion': [3]}
  • id: 4347344
    {'degree': 12, 'field': [-58621968, 24052464, -1597116, -4198956, 1254387, 268719, -96301, -11512, 5850, -342, -29, -3, 1], 'lmfdb_label': '93138.t1', '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: 2281363
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '93138.t1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2281364
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 19, 'j_denominator_valuation': 19, 'kodaira_symbol': 23, 'lmfdb_label': '93138.t1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 19}
  • id: 2281365
    {'conductor': 93138, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '93138.t1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2281366
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93138.t1', 'prime': 43, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• 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': [[515, 2, 514, 3], [173, 2, 173, 3], [259, 2, 259, 3], [433, 2, 433, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 515, 0]], 'adelic_image': '516.2.0.?', 'conductor': 93138, 'lmfdb_label': '93138.t1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4835669
    {'lmfdb_iso': '93138.t', 'p': 5, 'prec': 20, 'unit': 13922266127693, 'val': 1}
  • id: 4835670
    {'lmfdb_iso': '93138.t', 'p': 7, 'prec': 20, 'unit': 8005072494883218, 'val': 1}
  • id: 4835673
    {'lmfdb_iso': '93138.t', 'p': 11, 'prec': 20, 'unit': 30127657600069123898, 'val': 1}
  • id: 4835674
    {'lmfdb_iso': '93138.t', 'p': 13, 'prec': 20, 'unit': 917042337221362250930, 'val': 1}
  • id: 4835676
    {'lmfdb_iso': '93138.t', 'p': 17, 'prec': 20, 'unit': 43061906797438167959237, 'val': 1}
  • id: 4835681
    {'lmfdb_iso': '93138.t', 'p': 23, 'prec': 20, 'unit': 63559989130493516437664768, 'val': 1}
  • id: 4835685
    {'lmfdb_iso': '93138.t', 'p': 29, 'prec': 20, 'unit': 5397191252593266831329699193, 'val': 1}
  • id: 4835671
    {'lmfdb_iso': '93138.t', 'p': 31, 'prec': 20, 'unit': 18273371153212455782089049762, 'val': 1}
  • id: 4835686
    {'lmfdb_iso': '93138.t', 'p': 37, 'prec': 20, 'unit': 545449424470183076582581910423, 'val': 1}
  • id: 4835672
    {'lmfdb_iso': '93138.t', 'p': 41, 'prec': 20, 'unit': 383022777115335196163085377471, 'val': 1}
  • id: 4835684
    {'lmfdb_iso': '93138.t', 'p': 47, 'prec': 20, 'unit': 46549769027468585470046540393375, 'val': 1}
  • id: 4835678
    {'lmfdb_iso': '93138.t', 'p': 53, 'prec': 20, 'unit': 273663771476778689724410047244376, 'val': 1}
  • id: 4835679
    {'lmfdb_iso': '93138.t', 'p': 59, 'prec': 20, 'unit': 1615477822542796001871506795380711, 'val': 1}
  • id: 4835668
    {'lmfdb_iso': '93138.t', 'p': 67, 'prec': 20, 'unit': 14690089268490912350527254151926250, 'val': 1}
  • id: 4835683
    {'lmfdb_iso': '93138.t', 'p': 71, 'prec': 20, 'unit': 146246508989901347572307923768077808, 'val': 1}
  • id: 4835680
    {'lmfdb_iso': '93138.t', 'p': 73, 'prec': 20, 'unit': 182478257120400839426568902953096756, 'val': 1}
  • id: 4835675
    {'lmfdb_iso': '93138.t', 'p': 79, 'prec': 20, 'unit': 150798303943421745811668964104712336, 'val': 1}
  • id: 4835677
    {'lmfdb_iso': '93138.t', 'p': 83, 'prec': 20, 'unit': 1965034958747646043885198055619786933, 'val': 1}
  • id: 4835682
    {'lmfdb_iso': '93138.t', 'p': 89, 'prec': 20, 'unit': 7100491491333413975005167689595284238, 'val': 1}
  • id: 4835667
    {'lmfdb_iso': '93138.t', 'p': 97, 'prec': 20, 'unit': 41819817833761258016759426841973923128, 'val': 1}