Elliptic curve data - 11550.d3

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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': '11550d', 'Clabel': '11550d1', 'Cnumber': 1, 'abc_quality': 0.9159368325397195, 'absD': 13752585000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 1, 0, -8025, -214875], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 11550, 'degree': 41472, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2321230127832207083875267165', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [3658671062929, 880165440], 'lmfdb_iso': '11550.d', 'lmfdb_label': '11550.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -321, -1719], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '24.24.0.cc.1', '30.24.0-6.a.1.2', '120.48.0.?', '462.24.0.?', '770.6.0.?', '1848.48.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3793496298497950146592869025', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1925], [3, 4, 275], [5, 18, 462], [7, 8, 1650], [11, 12, 1050]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42740405656617052108714704989', 'prec': 103}, 'szpiro_ratio': 4.12475205585093, '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, -1, -1, 1, 0, -1, -1, 4, 1, 0, 1, 0, -1, 8, 0], 'aplist': [-1, -1, 0, -1, -1, 4, 0, 8, -6, 6, -4, -8, 6, 4, -12, -6, -12, -10, 10, 0, -14, 8, 0, -12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 11550, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '11550.d', 'trace_hash': 391454249881256141}
• 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': '0.085072961034352895530242767448', 'prec': 107}, 'conductor': 11550, 'gens': [[-70, 135, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3793496298497950146592869025', 'prec': 100}], 'lmfdb_label': '11550.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51322587075962501173420098088', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8316716594465099779215663668373093001', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-30, 15, 1]], 'xcoord_integral_points': [-70, -30, 105, 1195]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [3, 0], '13': [3, 0], '17': [1, 1, 0], '19': [1, 0], '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': '11550.d3'}
• ec_torsion_growth •

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

  
  
  • id: 596416
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 2]}
  • id: 596417
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '11550.d3', 'torsion': [6]}
  • id: 596418
    {'degree': 4, 'field': [100, -48, 2, 0, 1], 'lmfdb_label': '11550.d3', 'torsion': [4]}
  • id: 596419
    {'degree': 4, 'field': [324, 0, -41, 0, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 6]}
  • id: 596420
    {'degree': 6, 'field': [919, 17, -125, 50, 5, -3, 1], 'lmfdb_label': '11550.d3', 'torsion': [6]}
  • id: 596423
    {'degree': 8, 'field': [1111, -528, 24, 48, 149, -12, -18, 0, 1], 'lmfdb_label': '11550.d3', 'torsion': [12]}
  • id: 596421
    {'degree': 8, 'field': [2916, 0, -304839, 0, 2371, 0, 191, 0, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 4]}
  • id: 596422
    {'degree': 8, 'field': [112896, 0, 30240, 0, -572, 0, 20, 0, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 4]}
  • id: 596424
    {'degree': 12, 'field': [8464, 11316, 7343, 3075, -1680, -849, 739, -348, 45, -15, 8, -3, 1], 'lmfdb_label': '11550.d3', 'torsion': [3, 6]}
  • id: 596425
    {'degree': 12, 'field': [1116096, -254424, 273844, -41050, 26295, -7614, 3701, -1026, 300, -40, 19, -6, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 6]}
  • id: 596428
    {'degree': 16, 'field': [923521, 0, 1624090, 0, 2023853, 0, 1110210, 0, 434708, 0, -32250, 0, 1613, 0, -50, 0, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 12]}
  • id: 596426
    {'degree': 16, 'field': [50741918224, 84065632832, 41342409456, 4399501408, 1727240220, 1244402928, 204250900, -10034960, 8591841, 859880, 108232, 13848, -3330, 392, 36, -8, 1], 'lmfdb_label': '11550.d3', 'torsion': [8]}
  • id: 596427
    {'degree': 16, 'field': [64031312151, 144463152396, 122417155850, 48257055628, 7666272721, -707799554, -541070128, -102074528, -6810922, 1285318, 418682, 45514, -199, -608, -60, -6, 1], 'lmfdb_label': '11550.d3', 'torsion': [2, 12]}
  • id: 596429
    {'degree': 18, 'field': [-201499969, -241470867, 1121522985, -69841816, -1112607606, 445766046, 204175126, -151258368, 36239253, -8873553, 2480115, -398136, 80786, -14538, 1434, -292, 27, -3, 1], 'lmfdb_label': '11550.d3', '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: 247595
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11550.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 247596
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11550.d3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 247597
    {'conductor': 11550, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '11550.d3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 247598
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '11550.d3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 247599
    {'conductor': 11550, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11550.d3', 'prime': 11, '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

  
  
  • id: 1740584
    {'adelic_gens': [[6610, 3, 5253, 9232], [4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [9230, 9237, 7419, 8], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [6555, 5008, 6518, 4997], [1, 12, 0, 1], [3089, 2, 7704, 1]], 'adelic_image': '9240.96.1.?', 'conductor': 11550, 'lmfdb_label': '11550.d3', 'prime': 0}
  • id: 55436
    {'conductor': 11550, 'elladic_image': '2.3.0.1', 'lmfdb_label': '11550.d3', 'modell_image': '2B', 'prime': 2}
  • id: 55437
    {'conductor': 11550, 'elladic_image': '3.4.0.1', 'lmfdb_label': '11550.d3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 499389
    {'lmfdb_iso': '11550.d', 'p': 13, 'prec': 20, 'unit': 7025282023219511929, 'val': 2}
  • id: 499392
    {'lmfdb_iso': '11550.d', 'p': 19, 'prec': 20, 'unit': 883531274398757122389448, 'val': 1}
  • id: 499395
    {'lmfdb_iso': '11550.d', 'p': 23, 'prec': 20, 'unit': 37309887981893015598572645, 'val': 1}
  • id: 499388
    {'lmfdb_iso': '11550.d', 'p': 29, 'prec': 20, 'unit': 17827054643024904241295247, 'val': 1}
  • id: 499399
    {'lmfdb_iso': '11550.d', 'p': 31, 'prec': 20, 'unit': 2987960004357981982905506258, 'val': 1}
  • id: 499385
    {'lmfdb_iso': '11550.d', 'p': 37, 'prec': 20, 'unit': 490335631840477230358034799363, 'val': 1}
  • id: 499386
    {'lmfdb_iso': '11550.d', 'p': 41, 'prec': 20, 'unit': 3182941773630199141996388836452, 'val': 1}
  • id: 499387
    {'lmfdb_iso': '11550.d', 'p': 43, 'prec': 20, 'unit': 3831034072510227832110800602304, 'val': 1}
  • id: 499397
    {'lmfdb_iso': '11550.d', 'p': 47, 'prec': 20, 'unit': 48301913617610475377481323716714, 'val': 1}
  • id: 499393
    {'lmfdb_iso': '11550.d', 'p': 53, 'prec': 20, 'unit': 64528381522724681444695592154704, 'val': 1}
  • id: 499391
    {'lmfdb_iso': '11550.d', 'p': 59, 'prec': 20, 'unit': 592128178539257869521398223926074, 'val': 1}
  • id: 499398
    {'lmfdb_iso': '11550.d', 'p': 61, 'prec': 20, 'unit': 8339503111839440962296131438780882, 'val': 1}
  • id: 499384
    {'lmfdb_iso': '11550.d', 'p': 67, 'prec': 20, 'unit': 15701212196130337796114664486088214, 'val': 1}
  • id: 499394
    {'lmfdb_iso': '11550.d', 'p': 73, 'prec': 20, 'unit': 100544360677184631981047274639462596, 'val': 1}
  • id: 499390
    {'lmfdb_iso': '11550.d', 'p': 79, 'prec': 20, 'unit': 578402647835125319424914076288553908, 'val': 1}
  • id: 499396
    {'lmfdb_iso': '11550.d', 'p': 89, 'prec': 20, 'unit': 8675630100588645054375966413084397462, 'val': 1}
  • id: 499383
    {'lmfdb_iso': '11550.d', 'p': 97, 'prec': 20, 'unit': 13206678195730781730934015052001205188, 'val': 1}