Elliptic curve data - 90354.x3

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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': '90354v', 'Clabel': '90354v1', 'Cnumber': 1, 'abc_quality': 0.9258126221887728, 'absD': 3048082973892, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9768, 'ainvs': [1, 0, 0, -7558, 237920], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 90354, 'degree': 193536, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1460758378327776149235458645', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [18609625, 1188], 'lmfdb_iso': '90354.x', 'lmfdb_label': '90354.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6, 4], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '24.24.0.bx.1', '66.24.0.b.1', '111.8.0.?', '222.24.0.?', '264.48.1.?', '888.48.0.?', '2442.48.0.?', '9768.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2125824754475369231415756012', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65938311848933460726050197102', 'prec': 107}, 'szpiro_ratio': 3.365440888486897, '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, 1, 1, 1, 0, 1, 2, 1, 1, 0, -1, 1, 4, 2, 0, 1, 6, 1, 4, 0], 'aplist': [1, 1, 0, 2, -1, 4, 6, 4, -6, -6, -8, 0, 6, -8, -6, 0, 0, -8, -4, 6, 2, -14, -12, 6, -14], 'class_deg': 6, 'class_size': 4, 'conductor': 90354, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '90354.x', 'trace_hash': 1724877403635108017}
• 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': '0.10104880352121896718327162386', 'prec': 103}, 'conductor': 90354, 'gens': [[973, 2161, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2125824754475369231415756012', 'prec': 100}], 'lmfdb_label': '90354.x3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78624617026590815371814598419', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.155284007903980898803042676765035829', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[40, -20, 1]], 'xcoord_integral_points': [40]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': 'a', '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '90354.x3'}
• ec_torsion_growth •

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

  
  
  • id: 4223572
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '90354.x3', 'torsion': [6]}
  • id: 4223571
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 2]}
  • id: 4223574
    {'degree': 4, 'field': [1, 0, -35, 0, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 6]}
  • id: 4223573
    {'degree': 4, 'field': [2764, -20, 95, -2, 1], 'lmfdb_label': '90354.x3', 'torsion': [4]}
  • id: 4223575
    {'degree': 6, 'field': [34014, 1128, 2386, -67, 69, -1, 1], 'lmfdb_label': '90354.x3', 'torsion': [6]}
  • id: 4223576
    {'degree': 8, 'field': [64, 0, -326002, 0, 6981, 0, 152, 0, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 4]}
  • id: 4223578
    {'degree': 8, 'field': [14124, 1152, -3862, -88, 463, -4, -30, 0, 1], 'lmfdb_label': '90354.x3', 'torsion': [12]}
  • id: 4223577
    {'degree': 8, 'field': [229504, 9152, 37096, 8552, 2286, 136, 103, -2, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 4]}
  • id: 4223579
    {'degree': 12, 'field': [1040400, 0, -142032, 0, 105472, 0, -14509, 0, 1299, 0, -55, 0, 1], 'lmfdb_label': '90354.x3', 'torsion': [3, 6]}
  • id: 4223580
    {'degree': 12, 'field': [545596164, 0, 109856940, 0, 9243712, 0, 420839, 0, 11091, 0, 161, 0, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 6]}
  • id: 4223583
    {'degree': 16, 'field': [47997184, 0, -17654208, 0, 5866276, 0, -1322340, 0, 425985, 0, -52248, 0, 2986, 0, -84, 0, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 12]}
  • id: 4223582
    {'degree': 16, 'field': [344541189, 349588506, -243806478, -196505970, 61732852, 40715056, -8512564, -4093002, 723541, 192968, -32108, -3106, 184, 126, 2, -8, 1], 'lmfdb_label': '90354.x3', 'torsion': [2, 12]}
  • id: 4223581
    {'degree': 16, 'field': [427273488, 99369792, 13824528, 22827696, 4907502, -32363088, 12887224, -2117744, 495867, 150568, 19048, -4848, 490, 64, 36, -8, 1], 'lmfdb_label': '90354.x3', 'torsion': [8]}
  • id: 4223584
    {'degree': 18, 'field': [36666621, 453670794, 289766268, -240430215, -215473689, 33253794, 61574894, 2057061, -9607980, -1108247, 953073, 142209, -65511, -9063, 3105, 278, -87, -3, 1], 'lmfdb_label': '90354.x3', 'torsion': [18]}
• 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: 2209792
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '90354.x3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2209793
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '90354.x3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2209794
    {'conductor': 90354, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '90354.x3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2209795
    {'conductor': 90354, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '90354.x3', 'prime': 37, 'reduction_type': 0, '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: 2258916
    {'adelic_gens': [[4885, 1332, 5550, 7993], [6994, 7659, 7437, 6328], [11, 2, 9718, 9759], [1, 0, 12, 1], [1, 6, 6, 37], [1370, 5291, 1221, 4996], [3183, 4810, 7622, 3701], [1, 12, 0, 1], [9757, 12, 9756, 13], [5807, 0, 0, 9767]], 'adelic_image': '9768.96.1.?', 'conductor': 90354, 'lmfdb_label': '90354.x3', 'prime': 0}
  • id: 366942
    {'conductor': 90354, 'elladic_image': '8.6.0.4', 'lmfdb_label': '90354.x3', 'modell_image': '2B', 'prime': 2}
  • id: 366943
    {'conductor': 90354, 'elladic_image': '3.4.0.1', 'lmfdb_label': '90354.x3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 4678422
    {'lmfdb_iso': '90354.x', 'p': 7, 'prec': 20, 'unit': 10186889688127690, 'val': 1}
  • id: 4678426
    {'lmfdb_iso': '90354.x', 'p': 13, 'prec': 20, 'unit': 724206533858198249686, 'val': 1}
  • id: 4678428
    {'lmfdb_iso': '90354.x', 'p': 17, 'prec': 20, 'unit': 86570080725379186568766, 'val': 1}
  • id: 4678429
    {'lmfdb_iso': '90354.x', 'p': 19, 'prec': 20, 'unit': 41305780585781951458390, 'val': 1}
  • id: 4678431
    {'lmfdb_iso': '90354.x', 'p': 23, 'prec': 20, 'unit': 33149583548643370356160949, 'val': 1}
  • id: 4678425
    {'lmfdb_iso': '90354.x', 'p': 29, 'prec': 20, 'unit': 2430521225146753397536737238, 'val': 1}
  • id: 4678436
    {'lmfdb_iso': '90354.x', 'p': 31, 'prec': 20, 'unit': 799376148401186822850271818, 'val': 1}
  • id: 4678423
    {'lmfdb_iso': '90354.x', 'p': 41, 'prec': 20, 'unit': 3779247301800216913976631586020, 'val': 1}
  • id: 4678424
    {'lmfdb_iso': '90354.x', 'p': 43, 'prec': 20, 'unit': 6602971606446937685035190502266, 'val': 1}
  • id: 4678427
    {'lmfdb_iso': '90354.x', 'p': 47, 'prec': 20, 'unit': 492808319725553141197458366391, 'val': 1}
  • id: 4678435
    {'lmfdb_iso': '90354.x', 'p': 61, 'prec': 20, 'unit': 4901743901098190138962815196186814, 'val': 1}
  • id: 4678421
    {'lmfdb_iso': '90354.x', 'p': 67, 'prec': 20, 'unit': 15272727438786056262040264526781572, 'val': 1}
  • id: 4678433
    {'lmfdb_iso': '90354.x', 'p': 71, 'prec': 20, 'unit': 144045175506726096027103441960167542, 'val': 1}
  • id: 4678430
    {'lmfdb_iso': '90354.x', 'p': 73, 'prec': 20, 'unit': 29356687554492175149468795533768790, 'val': 1}
  • id: 4678434
    {'lmfdb_iso': '90354.x', 'p': 79, 'prec': 20, 'unit': 786571342970267043326673239155717911, 'val': 1}
  • id: 4678420
    {'lmfdb_iso': '90354.x', 'p': 83, 'prec': 20, 'unit': 1052955665357027900221345157842620024, 'val': 1}
  • id: 4678432
    {'lmfdb_iso': '90354.x', 'p': 89, 'prec': 20, 'unit': 728902897552904641297545522389399781, 'val': 1}
  • id: 4678419
    {'lmfdb_iso': '90354.x', 'p': 97, 'prec': 20, 'unit': 20392427253703937126120199844472669970, 'val': 1}