Elliptic curve data - 5390.v1

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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': '5390bj', 'Clabel': '5390bj2', 'Cnumber': 2, 'abc_quality': 0.996473538647351, 'absD': 4017490400000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [1, 0, 0, -65430, 5668900], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5390, 'degree': 45056, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7226201935963944707735782038', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [90315183328170247, 11712800000000], 'lmfdb_iso': '5390.v', 'lmfdb_label': '5390.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -65430, 5668900], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.c.1', '56.12.0.bd.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 24, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.057122108745415415067852979917', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 4, 7], [5, 6, 1078], [7, 20, 110], [11, 12, 245]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2361426563325661444972400179', 'prec': 100}, 'szpiro_ratio': 5.223259076591436, '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, -2, 1, 1, -2, 0, 1, 1, 1, 1, -2, -6, 0, -2, 1, 0, 1, -2, 1], 'aplist': [1, -2, 1, 0, 1, -6, 0, -2, 8, -2, 4, -6, 0, -4, -4, 6, -14, -2, 4, -12, -4, -8, 6, -16, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 5390, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5390.v', 'trace_hash': 1740695998080619776}
• 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': '0.031897093468174416727061794797', 'prec': 107}, 'conductor': 5390, 'gens': [[200, 670, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.057122108745415415067852979917', 'prec': 107}], 'lmfdb_label': '5390.v1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42379790264866655952179894245', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2606484590869947927051770981617226630', 'prec': 130}, 'tamagawa_product': 704, 'torsion_generators': [[415, -415, 2]], 'xcoord_integral_points': [-290, -240, -108, -20, 60, 90, 200, 236, 260, 860, 2510, 4820]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 0], '5': [2, 0], '7': 'a', '11': [2, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5390.v1'}
• ec_torsion_growth •

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

  
  
  • id: 280796
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '5390.v1', 'torsion': [2, 2]}
  • id: 280797
    {'degree': 4, 'field': [14, 0, 7, 0, 1], 'lmfdb_label': '5390.v1', 'torsion': [4]}
  • id: 280800
    {'degree': 8, 'field': [-14796, 15984, -15624, -721, 364, -7, 7, -4, 1], 'lmfdb_label': '5390.v1', 'torsion': [6]}
  • id: 280798
    {'degree': 8, 'field': [1, 0, -10, 0, 34, 0, -10, 0, 1], 'lmfdb_label': '5390.v1', 'torsion': [2, 4]}
  • id: 280799
    {'degree': 8, 'field': [100, 0, -144, 0, 52, 0, -8, 0, 1], 'lmfdb_label': '5390.v1', 'torsion': [2, 4]}
  • id: 280801
    {'degree': 16, 'field': [111456, -56160, 105984, -149568, 122468, -88900, 88794, -29904, 24772, -3486, 3559, -424, 433, -70, 33, -4, 1], 'lmfdb_label': '5390.v1', 'torsion': [8]}
  • id: 280802
    {'degree': 16, 'field': [216090000, 0, -7887285000, 0, -120907500, 0, -2390024, 0, 1767332, 0, 41356, 0, 2296, 0, -28, 0, 1], 'lmfdb_label': '5390.v1', '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: 105093
    {'conductor': 5390, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '5390.v1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
  • id: 105094
    {'conductor': 5390, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '5390.v1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 105095
    {'conductor': 5390, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '5390.v1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 105096
    {'conductor': 5390, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '5390.v1', 'prime': 11, '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: 1699086
    {'adelic_gens': [[1, 2, 2, 5], [36, 25, 49, 8], [2, 1, 27, 0], [3, 4, 8, 11], [53, 4, 52, 5], [12, 1, 39, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 5390, 'lmfdb_label': '5390.v1', 'prime': 0}
  • id: 26675
    {'conductor': 5390, 'elladic_image': '8.6.0.3', 'lmfdb_label': '5390.v1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 201393
    {'lmfdb_iso': '5390.v', 'p': 13, 'prec': 20, 'unit': 288138532998726628130, 'val': 1}
  • id: 201396
    {'lmfdb_iso': '5390.v', 'p': 19, 'prec': 20, 'unit': 1598014199015899471507807, 'val': 1}
  • id: 201398
    {'lmfdb_iso': '5390.v', 'p': 23, 'prec': 20, 'unit': 55713401154859152849571402, 'val': 1}
  • id: 201392
    {'lmfdb_iso': '5390.v', 'p': 29, 'prec': 20, 'unit': 3633265785454650456259209004, 'val': 1}
  • id: 201402
    {'lmfdb_iso': '5390.v', 'p': 31, 'prec': 20, 'unit': 20185543189359847395209093255, 'val': 1}
  • id: 201388
    {'lmfdb_iso': '5390.v', 'p': 37, 'prec': 20, 'unit': 533807842717195337921507981871, 'val': 1}
  • id: 201391
    {'lmfdb_iso': '5390.v', 'p': 43, 'prec': 20, 'unit': 5616642716134974355194939049866, 'val': 1}
  • id: 201400
    {'lmfdb_iso': '5390.v', 'p': 47, 'prec': 20, 'unit': 54498857669951250590005440011269, 'val': 1}
  • id: 201397
    {'lmfdb_iso': '5390.v', 'p': 53, 'prec': 20, 'unit': 98909874173816527050072969628917, 'val': 1}
  • id: 201395
    {'lmfdb_iso': '5390.v', 'p': 59, 'prec': 20, 'unit': 3339999142742426807538966792475272, 'val': 1}
  • id: 201401
    {'lmfdb_iso': '5390.v', 'p': 61, 'prec': 20, 'unit': 1899137353693920571227957707150194, 'val': 1}
  • id: 201387
    {'lmfdb_iso': '5390.v', 'p': 67, 'prec': 20, 'unit': 5239852138610173660438520683622475, 'val': 1}
  • id: 201389
    {'lmfdb_iso': '5390.v', 'p': 71, 'prec': 20, 'unit': 51051580473075153871389900458601059, 'val': 1}
  • id: 201390
    {'lmfdb_iso': '5390.v', 'p': 73, 'prec': 20, 'unit': 56619509028439548529251448982163163, 'val': 1}
  • id: 201394
    {'lmfdb_iso': '5390.v', 'p': 79, 'prec': 20, 'unit': 1120296203342634793391501995606659120, 'val': 1}
  • id: 201386
    {'lmfdb_iso': '5390.v', 'p': 83, 'prec': 20, 'unit': 2004522685507947477462914175448124406, 'val': 1}
  • id: 201399
    {'lmfdb_iso': '5390.v', 'p': 89, 'prec': 20, 'unit': 7290482558997790602164628436408987311, 'val': 1}
  • id: 201385
    {'lmfdb_iso': '5390.v', 'p': 97, 'prec': 20, 'unit': 55890968789836400880871245432481188700, 'val': 1}