Elliptic curve data - 11858.bm6

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '11858bk', 'Clabel': '11858bk3', 'Cnumber': 3, 'abc_quality': 0.9869508090989833, 'absD': 4575288087713728, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, 1, 1, 26557, -2784671], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 11858, 'degree': 69120, 'elladic_images': ['8.6.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6891239567358988817581918363', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '11858.bm', 'lmfdb_label': '11858.bm6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 77, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.c.1', '14.6.0.b.1', '24.72.1.n.1', '42.72.1.d.1', '56.12.0.n.1', '63.36.0.a.1', '66.72.0-6.a.1.2', '126.216.7.?', '168.144.5.?', '231.24.0.?', '264.144.1.?', '462.144.1.?', '504.432.21.?', '693.72.0.?', '1386.432.7.?', '1848.288.5.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5929], [3, 2, 5929], [7, 32, 242], [11, 62, 98]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632440', 'prec': 107}, 'szpiro_ratio': 4.60627568743895, '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, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, -4, 0, 0, 1, 6, 1, 2, 0], 'aplist': [1, 2, 0, 0, 0, -4, 6, 2, 0, 6, 4, 2, 6, -8, 12, 6, 6, 8, -4, 0, 2, -8, -6, 6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 11858, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '11858.bm', 'trace_hash': 1333834012027744305}
• 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': '0.034107161111454755668803311284', 'prec': 107}, 'conductor': 11858, 'gens': [], 'heights': [], 'lmfdb_label': '11858.bm6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22579487147704866052088237582', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4190769154491678525011770196087141979', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[83, -42, 1]], 'xcoord_integral_points': [83]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [0, 1], '7': 'a', '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '11858.bm6'}
• ec_torsion_growth •

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

  
  
  • id: 614169
    {'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '11858.bm6', 'torsion': [6]}
  • id: 614168
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 2]}
  • id: 614170
    {'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '11858.bm6', 'torsion': [6]}
  • id: 614171
    {'degree': 4, 'field': [-46, -16, -5, -2, 1], 'lmfdb_label': '11858.bm6', 'torsion': [4]}
  • id: 614173
    {'degree': 4, 'field': [1, 0, 9, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 6]}
  • id: 614174
    {'degree': 4, 'field': [100, 0, -13, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 6]}
  • id: 614172
    {'degree': 4, 'field': [361, 19, 20, -1, 1], 'lmfdb_label': '11858.bm6', 'torsion': [3, 6]}
  • id: 614177
    {'degree': 8, 'field': [1, 0, -9, 0, 80, 0, -9, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [6, 6]}
  • id: 614176
    {'degree': 8, 'field': [526, 348, -13, -82, -11, 16, 1, -2, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 4]}
  • id: 614178
    {'degree': 8, 'field': [1681, 0, 850, 0, -145, 0, -10, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [12]}
  • id: 614175
    {'degree': 8, 'field': [4118, 1318, 1409, 222, 85, 22, 11, -2, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 4]}
  • id: 614179
    {'degree': 8, 'field': [8836, 0, -532, 0, 125, 0, -14, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [12]}
  • id: 614182
    {'degree': 16, 'field': [3532, -464, 2344, -644, 10145, -11990, 18306, -15550, 13022, -7068, 4014, -1426, 578, -126, 38, -4, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 12]}
  • id: 614184
    {'degree': 16, 'field': [8464, -5888, 22712, -20928, 18488, -14120, 5882, -3448, 1851, -886, 637, -242, 92, -22, 17, -6, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 12]}
  • id: 614180
    {'degree': 16, 'field': [240898, 2584568, 339228, 3807104, -163159, 1101532, -309666, -106532, 39561, 2896, -8288, 1704, -341, 28, 6, -4, 1], 'lmfdb_label': '11858.bm6', 'torsion': [8]}
  • id: 614185
    {'degree': 16, 'field': [278272, -3200, -24752, 49488, -7588, -23736, 13292, -5048, 2145, -992, 392, 144, -206, 56, 12, -8, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 12]}
  • id: 614183
    {'degree': 16, 'field': [735232, 523776, -288800, -545552, 467740, -249900, 107548, -15966, -2393, 4766, -1358, 70, 140, -98, 34, -8, 1], 'lmfdb_label': '11858.bm6', 'torsion': [2, 12]}
  • id: 614181
    {'degree': 16, 'field': [2825761, 0, -1428850, 0, 966245, 0, 89630, 0, 27844, 0, 250, 0, 245, 0, 10, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [3, 12]}
  • id: 614186
    {'degree': 18, 'field': [-571787, 0, 0, -958987, 0, 0, -70307, 0, 0, 20488, 0, 0, 267, 0, 0, -64, 0, 0, 1], 'lmfdb_label': '11858.bm6', 'torsion': [18]}
  • id: 614187
    {'degree': 18, 'field': [311952096, -773116272, 1313931816, -1282248924, 846743904, -445756656, 207375508, -79693902, 26740338, -8213601, 2118033, -436326, 78404, -11628, 1482, -96, 18, -3, 1], 'lmfdb_label': '11858.bm6', '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: 255708
    {'conductor': 11858, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '11858.bm6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 255709
    {'conductor': 11858, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '11858.bm6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 255710
    {'conductor': 11858, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '11858.bm6', 'prime': 11, '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: 1742699
    {'adelic_gens': [[2773, 3564, 4554, 3169], [3023, 0, 0, 5543], [1, 36, 0, 1], [1, 0, 36, 1], [1418, 2013, 99, 3332], [5509, 36, 5508, 37], [1, 6, 6, 37], [2773, 3564, 0, 1541], [19, 24, 1440, 1819], [4357, 3300, 4554, 2179]], 'adelic_image': '5544.864.21.?', 'conductor': 11858, 'lmfdb_label': '11858.bm6', 'prime': 0}
  • id: 56821
    {'conductor': 11858, 'elladic_image': '8.6.0.1', 'lmfdb_label': '11858.bm6', 'modell_image': '2B', 'prime': 2}
  • id: 56822
    {'conductor': 11858, 'elladic_image': '3.12.0.1', 'lmfdb_label': '11858.bm6', 'modell_image': '3Cs', 'prime': 3}
• lmfdb_iso 11858.bm does not appear in ec_padic