Elliptic curve data - 271062.l2

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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': '271062l', 'Clabel': '271062l2', 'Cnumber': 2, 'abc_quality': 1.0492563620983195, 'absD': 536462603404992, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4884, 'ainvs': [1, -1, 0, -1402797, 639849573], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 37], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 271062, 'degree': 3317760, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0855179922103998374205808822', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 11, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4406910829875, 7744], 'lmfdb_iso': '271062.l', 'lmfdb_label': '271062.l2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9222, -338572], 'min_quad_twist_disc': -111, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.h.1', '44.6.0.e.1', '111.8.0.?', '132.48.1.?', '222.24.0.?', '444.48.0.?', '4884.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8875900996312412271416522571', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 4107], [3, 6, 15059], [11, 12, 24642], [37, 686, 198]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0054059637212601923877217374549', 'prec': 110}, 'szpiro_ratio': 4.32254954513377, '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, 0, 1, 0, 0, 2, -1, 0, 0, -1, 0, -2, -2, 0, 1, 6, 0, -2, 0], 'aplist': [-1, 0, 0, 2, -1, -2, 6, -2, 0, 6, 4, 0, 6, 10, 12, -12, -12, 10, 8, 12, 14, -2, -12, 0, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 271062, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '271062.l', 'trace_hash': 340721628081876857}
• 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': '0.015436260112467313199024521920', 'prec': 107}, 'conductor': 271062, 'gens': [[682, -429, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8875900996312412271416522571', 'prec': 100}], 'lmfdb_label': '271062.l2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.44509344731471553594438068775', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7212318764959721322059278590476772827', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[2739, -2739, 2]], 'xcoord_integral_points': [-342, 682]}
• lmfdb_label 271062.l2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11580769
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '271062.l2', 'torsion': [6]}
  • id: 11580768
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 2]}
  • id: 11580771
    {'degree': 4, 'field': [33, 24, -23, -2, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 6]}
  • id: 11580770
    {'degree': 4, 'field': [892, -109, -87, -1, 1], 'lmfdb_label': '271062.l2', 'torsion': [4]}
  • id: 11580772
    {'degree': 6, 'field': [22986, -4167, 2403, -147, 87, -3, 1], 'lmfdb_label': '271062.l2', 'torsion': [6]}
  • id: 11580775
    {'degree': 8, 'field': [804, -264, -2601, -552, 616, 82, -48, -2, 1], 'lmfdb_label': '271062.l2', 'torsion': [12]}
  • id: 11580773
    {'degree': 8, 'field': [89401, 0, 24454, 0, 2871, 0, -110, 0, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 4]}
  • id: 11580774
    {'degree': 8, 'field': [371968, -259904, -155144, 14776, 10138, -26, -185, -2, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 4]}
  • id: 11580776
    {'degree': 12, 'field': [90000, 261000, 831600, -198030, 81771, -33141, 3727, -120, 420, 10, 33, -3, 1], 'lmfdb_label': '271062.l2', 'torsion': [3, 6]}
  • id: 11580777
    {'degree': 12, 'field': [992014, 723162, 977907, 335390, 98187, 33726, 15839, 0, 1167, -44, 51, 0, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 6]}
  • id: 11580780
    {'degree': 16, 'field': [-1952924, 6819788, 1450410, -13282118, -888051, 7370886, 132688, -1862822, 43248, 245606, -14414, -17262, 1512, 602, -66, -8, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 12]}
  • id: 11580779
    {'degree': 16, 'field': [65049721, 26936866, -39273720, -14214850, 13130898, 4321044, -2740730, -835510, 374079, 98668, -33902, -6798, 1974, 250, -66, -4, 1], 'lmfdb_label': '271062.l2', 'torsion': [2, 12]}
  • id: 11580778
    {'degree': 16, 'field': [1687836485116, 30651747216, -228323431112, 55973553056, 31323811105, -5202114804, -2190308354, 308011932, 115023595, -6420008, -3242276, 24392, 46775, 524, -338, -4, 1], 'lmfdb_label': '271062.l2', 'torsion': [8]}
  • id: 11580781
    {'degree': 18, 'field': [-5716257, 54423423, -148903461, 4672074, 110018088, -5309154, -2288922, 9640410, -6278829, -2656013, 1317639, 297930, -119820, -15348, 5388, 360, -117, -3, 1], 'lmfdb_label': '271062.l2', '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: 6717773
    {'conductor': 271062, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '271062.l2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6717774
    {'conductor': 271062, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '271062.l2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6717775
    {'conductor': 271062, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '271062.l2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6717776
    {'conductor': 271062, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '271062.l2', '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: 3377820
    {'adelic_gens': [[11, 2, 4834, 4875], [923, 0, 0, 4883], [4873, 12, 4872, 13], [1, 0, 12, 1], [1333, 1332, 3774, 3109], [1, 6, 6, 37], [2850, 925, 2849, 4478], [1, 12, 0, 1], [2036, 407, 3441, 3664]], 'adelic_image': '4884.96.1.?', 'conductor': 271062, 'lmfdb_label': '271062.l2', 'prime': 0}
  • id: 968844
    {'conductor': 271062, 'elladic_image': '2.3.0.1', 'lmfdb_label': '271062.l2', 'modell_image': '2B', 'prime': 2}
  • id: 968845
    {'conductor': 271062, 'elladic_image': '3.4.0.1', 'lmfdb_label': '271062.l2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 271062.l does not appear in ec_padic