Elliptic curve data - 27584.m2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '27584f', 'Clabel': '27584f1', 'Cnumber': 1, 'abc_quality': 0.883584634040504, 'absD': 462782726144, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 10344, 'ainvs': [0, -1, 0, 511, 32257], 'analytic_rank': 1, 'bad_primes': [2, 431], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 27584, 'degree': 27648, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.91838256187421556993352795969', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 3], 'jinv': [56181887, 1765376], 'lmfdb_iso': '27584.m', 'lmfdb_label': '27584.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 8, 64], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.2', '862.2.0.?', '2586.8.0.?', '10344.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.9553224763098897562462486780', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12133820896570239419232022250', 'prec': 107}, 'szpiro_ratio': 3.3541989740836633, '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, 3, 0, 2, 0, -2, 0, -3, 0, -2, 0, -3, 0, 6, 0, -5, 0], 'aplist': [0, -1, 3, 2, -3, -2, 6, -5, 3, -9, -4, 4, -6, 10, 6, -3, 9, -2, 10, -6, 2, -4, -12, 6, -13], 'class_deg': 3, 'class_size': 2, 'conductor': 27584, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '27584.m', 'trace_hash': 816582696606162617}
• 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': '0.15933201269019044269797241234', 'prec': 103}, 'conductor': 27584, 'gens': [[-119, 4096, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '1.9553224763098897562462486780', 'prec': 100}], 'lmfdb_label': '27584.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.70576543031129411647696236699', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5199960355607781590406487773664384459', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [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], '431': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '27584.m2'}
• ec_torsion_growth •

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

  
  
  • id: 1379829
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '27584.m2', 'torsion': [3]}
  • id: 1379830
    {'degree': 3, 'field': [-8, -1, 0, 1], 'lmfdb_label': '27584.m2', 'torsion': [2]}
  • id: 1379833
    {'degree': 6, 'field': [62, -80, 13, -16, -8, 0, 1], 'lmfdb_label': '27584.m2', 'torsion': [6]}
  • id: 1379831
    {'degree': 6, 'field': [164, -208, 123, -14, 0, -2, 1], 'lmfdb_label': '27584.m2', 'torsion': [2, 2]}
  • id: 1379832
    {'degree': 6, 'field': [55296, 0, -1148, 0, 2, 0, 1], 'lmfdb_label': '27584.m2', 'torsion': [3]}
  • id: 1379834
    {'degree': 12, 'field': [-110336, 0, 208384, 0, 78652, 0, 11840, 0, 413, 0, 0, 0, 1], 'lmfdb_label': '27584.m2', 'torsion': [4]}
  • id: 1379836
    {'degree': 12, 'field': [55652, -14032, 37380, -39056, 28017, -11580, 3100, -1068, 322, 12, -8, -4, 1], 'lmfdb_label': '27584.m2', 'torsion': [2, 6]}
  • id: 1379835
    {'degree': 12, 'field': [52162588, -11881248, -2806018, 146064, -91965, -168, 15670, 3384, -543, -12, 8, 0, 1], 'lmfdb_label': '27584.m2', 'torsion': [3, 3]}
  • id: 1379837
    {'degree': 18, 'field': [-85178948, 360829560, -317228244, 18560384, 28622124, -27349992, 37753112, 1716816, -2099796, 560552, -57204, 55488, -13885, 1914, -225, -116, 15, -6, 1], 'lmfdb_label': '27584.m2', 'torsion': [9]}
  • id: 1379838
    {'degree': 18, 'field': [36949867936, 473147200, 22686893968, 359780128, 4566708576, 302710272, 225033864, 64955184, -23945542, 2333844, -1685131, -215782, 73297, -11194, 2820, -414, 71, -6, 1], 'lmfdb_label': '27584.m2', 'torsion': [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: 636395
    {'conductor': 27584, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '27584.m2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 636396
    {'conductor': 27584, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '27584.m2', 'prime': 431, '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: 1847843
    {'adelic_gens': [[4, 3, 9, 7], [9912, 8183, 8189, 8619], [7763, 10338, 7764, 10337], [10339, 6, 10338, 7], [7757, 0, 0, 10343], [1, 6, 0, 1], [7, 6, 21, 19], [5171, 0, 0, 10343], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '10344.16.0.?', 'conductor': 27584, 'lmfdb_label': '27584.m2', 'prime': 0}
  • id: 124721
    {'conductor': 27584, 'elladic_image': '3.4.0.1', 'lmfdb_label': '27584.m2', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1320779
    {'lmfdb_iso': '27584.m', 'p': 5, 'prec': 20, 'unit': 2439186186179, 'val': 2}
  • id: 1320780
    {'lmfdb_iso': '27584.m', 'p': 7, 'prec': 20, 'unit': 956312816647659, 'val': 2}
  • id: 1320781
    {'lmfdb_iso': '27584.m', 'p': 11, 'prec': 20, 'unit': 19585530929032756943, 'val': 1}
  • id: 1320782
    {'lmfdb_iso': '27584.m', 'p': 13, 'prec': 20, 'unit': 173756659149329431238, 'val': 1}
  • id: 1320783
    {'lmfdb_iso': '27584.m', 'p': 17, 'prec': 20, 'unit': 145807983552181649508507, 'val': 1}
  • id: 1320784
    {'lmfdb_iso': '27584.m', 'p': 19, 'prec': 20, 'unit': 711793194742055906090548, 'val': 1}
  • id: 1320785
    {'lmfdb_iso': '27584.m', 'p': 23, 'prec': 20, 'unit': 56190830110255144290158668, 'val': 1}
  • id: 1320786
    {'lmfdb_iso': '27584.m', 'p': 29, 'prec': 20, 'unit': 742726817632670103120059827, 'val': 1}
  • id: 1320787
    {'lmfdb_iso': '27584.m', 'p': 31, 'prec': 20, 'unit': 4833383102189812245395006149, 'val': 1}
  • id: 1320788
    {'lmfdb_iso': '27584.m', 'p': 37, 'prec': 20, 'unit': 138798508025797883139855437864, 'val': 1}
  • id: 1320789
    {'lmfdb_iso': '27584.m', 'p': 41, 'prec': 20, 'unit': 1731979576796490639606306698083, 'val': 1}
  • id: 1320790
    {'lmfdb_iso': '27584.m', 'p': 43, 'prec': 20, 'unit': 8085331032707738572478732010284, 'val': 1}
  • id: 1320791
    {'lmfdb_iso': '27584.m', 'p': 47, 'prec': 20, 'unit': 38130181203734730533505902470134, 'val': 1}
  • id: 1320792
    {'lmfdb_iso': '27584.m', 'p': 53, 'prec': 20, 'unit': 36001416321880000954565048932975, 'val': 1}
  • id: 1320793
    {'lmfdb_iso': '27584.m', 'p': 59, 'prec': 20, 'unit': 1947716536616413960170958246625876, 'val': 1}
  • id: 1320794
    {'lmfdb_iso': '27584.m', 'p': 61, 'prec': 20, 'unit': 7270402166187178353141825471257423, 'val': 1}
  • id: 1320795
    {'lmfdb_iso': '27584.m', 'p': 67, 'prec': 20, 'unit': 8163787060800961461048495740746055, 'val': 1}
  • id: 1320796
    {'lmfdb_iso': '27584.m', 'p': 71, 'prec': 20, 'unit': 131981181821704151517847519260603322, 'val': 1}
  • id: 1320797
    {'lmfdb_iso': '27584.m', 'p': 73, 'prec': 20, 'unit': 212892245186263471702444798064593199, 'val': 1}
  • id: 1320798
    {'lmfdb_iso': '27584.m', 'p': 79, 'prec': 20, 'unit': 901481293593327771312461475696069179, 'val': 1}
  • id: 1320799
    {'lmfdb_iso': '27584.m', 'p': 83, 'prec': 20, 'unit': 2373481579878150593845174547784989796, 'val': 1}
  • id: 1320800
    {'lmfdb_iso': '27584.m', 'p': 89, 'prec': 20, 'unit': 7748662340473644637349862543718072644, 'val': 1}
  • id: 1320801
    {'lmfdb_iso': '27584.m', 'p': 97, 'prec': 20, 'unit': 7511955450206058502502447185978948784, 'val': 1}