Elliptic curve data - 17472.ce1

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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': '17472db', 'Clabel': '17472db1', 'Cnumber': 1, 'abc_quality': 0.984928576214685, 'absD': 2290089984, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2184, 'ainvs': [0, 1, 0, -481, 4511], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 17472, 'degree': 7680, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.52046556662050604392265849304', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 56, 'isogeny_degrees': [1], 'jinv': [-47045881, 8736], 'lmfdb_iso': '17472.ce', 'lmfdb_label': '17472.ce1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -8, -10], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['2184.2.0.?'], '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': '1.1334963824988611251309576616', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 273], [3, 4, 5824], [7, 8, 2496], [13, 14, 1344]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.51925520421941192020318968915', 'prec': 107}, 'szpiro_ratio': 3.1142989040065756, '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, 0, 1, 0, -1, 0, 1, 0, 1, 0, 3, 0, 1, 0, -1, 0, 5, 0, 1, 0], 'aplist': [0, 1, -1, 1, 3, 1, 5, 1, -3, -5, -4, 5, -8, -1, -8, -6, 0, -13, -10, -8, -15, -6, -2, -2, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 17472, 'isogeny_matrix': [[1]], 'lmfdb_iso': '17472.ce', 'trace_hash': 661597655933398169}
• 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': '0.35312572173188571445653058008', 'prec': 103}, 'conductor': 17472, 'gens': [[55, 384, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1334963824988611251309576616', 'prec': 100}], 'lmfdb_label': '17472.ce1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3997630836256512855086974549', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3465055665805062453281150961159955430', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [55]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [5, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [3, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '17472.ce1'}
• ec_torsion_growth •

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

  
  
  • id: 894389
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '17472.ce1', 'torsion': [2]}
  • id: 894390
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '17472.ce1', 'torsion': [2, 2]}
  • id: 894391
    {'degree': 8, 'field': [-1452, 0, 554, 0, -132, 0, 0, 0, 1], 'lmfdb_label': '17472.ce1', 'torsion': [3]}
  • id: 894392
    {'degree': 12, 'field': [10528, -99120, 287406, -209594, -137379, -62880, 1020, 2946, 1167, -68, -24, -6, 1], 'lmfdb_label': '17472.ce1', '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: 390534
    {'conductor': 17472, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '17472.ce1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 390535
    {'conductor': 17472, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17472.ce1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 390536
    {'conductor': 17472, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17472.ce1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 390537
    {'conductor': 17472, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '17472.ce1', 'prime': 13, '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': [[1457, 2, 1457, 3], [2017, 2, 2017, 3], [1, 0, 2, 1], [1093, 2, 1093, 3], [1, 2, 0, 1], [2183, 2, 2182, 3], [1249, 2, 1249, 3], [1639, 2, 1639, 3], [1, 1, 2183, 0]], 'adelic_image': '2184.2.0.?', 'conductor': 17472, 'lmfdb_label': '17472.ce1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 798603
    {'lmfdb_iso': '17472.ce', 'p': 5, 'prec': 20, 'unit': 4220371621603, 'val': 1}
  • id: 798610
    {'lmfdb_iso': '17472.ce', 'p': 11, 'prec': 20, 'unit': 3166383749694152176, 'val': 1}
  • id: 798611
    {'lmfdb_iso': '17472.ce', 'p': 17, 'prec': 20, 'unit': 126013736147937965555522, 'val': 1}
  • id: 798612
    {'lmfdb_iso': '17472.ce', 'p': 19, 'prec': 20, 'unit': 15710616452619198455919570, 'val': 0}
  • id: 798615
    {'lmfdb_iso': '17472.ce', 'p': 23, 'prec': 20, 'unit': 44036734057358328474093133, 'val': 1}
  • id: 798608
    {'lmfdb_iso': '17472.ce', 'p': 29, 'prec': 20, 'unit': 6062040243748359551129123786, 'val': 1}
  • id: 798605
    {'lmfdb_iso': '17472.ce', 'p': 31, 'prec': 20, 'unit': 7570734548791016693378564991, 'val': 1}
  • id: 798619
    {'lmfdb_iso': '17472.ce', 'p': 37, 'prec': 20, 'unit': 12382676882886245761122161161, 'val': 2}
  • id: 798606
    {'lmfdb_iso': '17472.ce', 'p': 41, 'prec': 20, 'unit': 496462830514875402239843894219, 'val': 1}
  • id: 798607
    {'lmfdb_iso': '17472.ce', 'p': 43, 'prec': 20, 'unit': 297566368776142668023085822523, 'val': 1}
  • id: 798609
    {'lmfdb_iso': '17472.ce', 'p': 47, 'prec': 20, 'unit': 27438379818204929560274221420226, 'val': 1}
  • id: 798613
    {'lmfdb_iso': '17472.ce', 'p': 53, 'prec': 20, 'unit': 466673086792657976696381622352957, 'val': 1}
  • id: 798618
    {'lmfdb_iso': '17472.ce', 'p': 61, 'prec': 20, 'unit': 265813731922756614845328821696810, 'val': 1}
  • id: 798602
    {'lmfdb_iso': '17472.ce', 'p': 67, 'prec': 20, 'unit': 10129287421926359908410375180959292, 'val': 1}
  • id: 798604
    {'lmfdb_iso': '17472.ce', 'p': 71, 'prec': 20, 'unit': 55566585059053213821501086095370365, 'val': 1}
  • id: 798614
    {'lmfdb_iso': '17472.ce', 'p': 73, 'prec': 20, 'unit': 139287599181384024706920659849024789, 'val': 1}
  • id: 798617
    {'lmfdb_iso': '17472.ce', 'p': 79, 'prec': 20, 'unit': 229272860523187460949140421525077929, 'val': 1}
  • id: 798601
    {'lmfdb_iso': '17472.ce', 'p': 83, 'prec': 20, 'unit': 2303640742955536730205481044672931010, 'val': 1}
  • id: 798616
    {'lmfdb_iso': '17472.ce', 'p': 89, 'prec': 20, 'unit': 6202243018728838875888311143304880474, 'val': 1}
  • id: 798600
    {'lmfdb_iso': '17472.ce', 'p': 97, 'prec': 20, 'unit': 31620278577016236145889945280354277176, 'val': 1}