Elliptic curve data - 15162.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
  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': '15162r', 'Clabel': '15162r1', 'Cnumber': 1, 'abc_quality': 0.9136325031445056, 'absD': 538210900512768, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 456, 'ainvs': [1, 1, 1, -28707, 1491009], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 15162, 'degree': 69120, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5419470827435538223904045796', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [55611739513, 11440128], 'lmfdb_iso': '15162.x', 'lmfdb_label': '15162.x3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -80, -226], 'min_quad_twist_disc': -19, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.13', '114.6.0.?', '152.24.0.?', '228.24.0.?', '456.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3680909060567117800795222896', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1083], [3, 4, 2527], [7, 8, 2166], [19, 200, 42]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.069727593160333592385890863657', 'prec': 107}, 'szpiro_ratio': 4.40534819941553, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 2, -1, -1, 1, 1, 2, 0, -1, -2, -1, -2, 1, 2, 1, 0, 2], 'aplist': [1, -1, 2, -1, 0, -2, 2, 0, 8, -2, -4, -2, -6, -12, -8, -10, 4, -10, -4, -8, 10, 4, 0, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 15162, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '15162.x', 'trace_hash': 947439095114651807}
• 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': '0.045780631721233010785166204038', 'prec': 107}, 'conductor': 15162, 'gens': [[59, 54, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3680909060567117800795222896', 'prec': 100}], 'lmfdb_label': '15162.x3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.49215427849853089541113960622', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.9927964277356397579433688926812228420', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-21, 1454, 1]], 'xcoord_integral_points': [-21, 59, 131]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [3, 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': '15162.x3'}
• ec_torsion_growth •

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

  
  
  • id: 779454
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '15162.x3', 'torsion': [2, 4]}
  • id: 779455
    {'degree': 4, 'field': [196, 28, 11, -2, 1], 'lmfdb_label': '15162.x3', 'torsion': [8]}
  • id: 779459
    {'degree': 8, 'field': [66, -123, 290, -18, 87, -35, -12, 0, 1], 'lmfdb_label': '15162.x3', 'torsion': [12]}
  • id: 779458
    {'degree': 8, 'field': [232, -712, -181, 1094, 595, -44, -55, -2, 1], 'lmfdb_label': '15162.x3', 'torsion': [2, 8]}
  • id: 779457
    {'degree': 8, 'field': [2152, 792, -662, -248, 95, 32, -6, -4, 1], 'lmfdb_label': '15162.x3', 'torsion': [2, 8]}
  • id: 779456
    {'degree': 8, 'field': [2172676, 860816, 170528, 11708, -2723, -614, 2, -2, 1], 'lmfdb_label': '15162.x3', 'torsion': [4, 4]}
  • id: 779461
    {'degree': 16, 'field': [589824, 0, 2931456, 0, -1020416, 0, 366432, 0, 7680, 0, -3817, 0, -192, 0, 0, 0, 1], 'lmfdb_label': '15162.x3', 'torsion': [2, 12]}
  • id: 779460
    {'degree': 16, 'field': [12502368, -35687808, 25021152, -1407024, 42805521, -78054156, 46893486, 2952684, -3907201, -851864, 365604, -10232, 591, -668, 14, -4, 1], 'lmfdb_label': '15162.x3', 'torsion': [16]}
• 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: 335083
    {'conductor': 15162, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '15162.x3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 335084
    {'conductor': 15162, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15162.x3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 335085
    {'conductor': 15162, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '15162.x3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 335086
    {'conductor': 15162, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '15162.x3', 'prime': 19, '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: 1764979
    {'adelic_gens': [[7, 6, 450, 451], [68, 455, 49, 450], [1, 0, 8, 1], [449, 8, 448, 9], [289, 288, 70, 295], [179, 174, 290, 59], [160, 3, 157, 2], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '456.48.0.?', 'conductor': 15162, 'lmfdb_label': '15162.x3', 'prime': 0}
  • id: 71627
    {'conductor': 15162, 'elladic_image': '4.12.0.7', 'lmfdb_label': '15162.x3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 681357
    {'lmfdb_iso': '15162.x', 'p': 5, 'prec': 20, 'unit': 7438879263371, 'val': 1}
  • id: 681363
    {'lmfdb_iso': '15162.x', 'p': 13, 'prec': 20, 'unit': 101128969247458508130, 'val': 2}
  • id: 681365
    {'lmfdb_iso': '15162.x', 'p': 17, 'prec': 20, 'unit': 124390617435244518786600, 'val': 1}
  • id: 681369
    {'lmfdb_iso': '15162.x', 'p': 23, 'prec': 20, 'unit': 35746925879149370743573828, 'val': 1}
  • id: 681362
    {'lmfdb_iso': '15162.x', 'p': 29, 'prec': 20, 'unit': 2260578897755753641497335293, 'val': 1}
  • id: 681359
    {'lmfdb_iso': '15162.x', 'p': 31, 'prec': 20, 'unit': 16526496474671357025127005029, 'val': 1}
  • id: 681373
    {'lmfdb_iso': '15162.x', 'p': 37, 'prec': 20, 'unit': 393336901162495161999659955866, 'val': 1}
  • id: 681360
    {'lmfdb_iso': '15162.x', 'p': 41, 'prec': 20, 'unit': 1736522437803362510652083716319, 'val': 1}
  • id: 681361
    {'lmfdb_iso': '15162.x', 'p': 43, 'prec': 20, 'unit': 4848821451796828158354494493679, 'val': 1}
  • id: 681371
    {'lmfdb_iso': '15162.x', 'p': 47, 'prec': 20, 'unit': 41134706066828529690874316164634, 'val': 1}
  • id: 681366
    {'lmfdb_iso': '15162.x', 'p': 53, 'prec': 20, 'unit': 437583177890003571809653729506725, 'val': 1}
  • id: 681367
    {'lmfdb_iso': '15162.x', 'p': 59, 'prec': 20, 'unit': 2561934146551847598181600857595323, 'val': 1}
  • id: 681372
    {'lmfdb_iso': '15162.x', 'p': 61, 'prec': 20, 'unit': 5935132954592533152516902952128903, 'val': 1}
  • id: 681356
    {'lmfdb_iso': '15162.x', 'p': 67, 'prec': 20, 'unit': 29375257741424333468724378054160337, 'val': 1}
  • id: 681358
    {'lmfdb_iso': '15162.x', 'p': 71, 'prec': 20, 'unit': 72287862093207412571649577767647151, 'val': 1}
  • id: 681368
    {'lmfdb_iso': '15162.x', 'p': 73, 'prec': 20, 'unit': 84789963144003500791439176737980077, 'val': 1}
  • id: 681364
    {'lmfdb_iso': '15162.x', 'p': 79, 'prec': 20, 'unit': 891116239801815179517397252503445994, 'val': 1}
  • id: 681370
    {'lmfdb_iso': '15162.x', 'p': 89, 'prec': 20, 'unit': 8597088089747817763936036287386538770, 'val': 1}
  • id: 681355
    {'lmfdb_iso': '15162.x', 'p': 97, 'prec': 20, 'unit': 6609317126109030516751266583265732224, 'val': 1}