Elliptic curve data - 17787.m1

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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': '17787s', 'Clabel': '17787s2', 'Cnumber': 2, 'abc_quality': 1.0123792461665873, 'absD': 372360767602793775428007, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 616, 'ainvs': [1, 0, 0, -21110328, 23058853929], 'analytic_rank': 0, 'bad_primes': [3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17787, 'degree': 2150400, 'elladic_images': ['8.12.0.27'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2237084086124756302099010992', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [14553591673375, 5208653241], 'lmfdb_iso': '17787.m', 'lmfdb_label': '17787.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -3560, 49029], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '8.12.0.r.1', '28.12.0.l.1', '56.24.0.cb.1', '88.24.0.?', '616.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 847], [3, 4, 5929], [7, 20, 363], [11, 72, 147]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56532816042180537934991475264', 'prec': 103}, 'szpiro_ratio': 6.356836653557357, '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, 0, 3, 1, 0, 0, -1, 4, 0, 0, -1, -4, -1, 8, 0], 'aplist': [-1, 1, 0, 0, 0, 4, -4, 8, -8, -2, -4, 10, -4, -4, -12, 6, -12, 12, 4, 0, 4, 8, 8, 0, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 17787, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17787.m', 'trace_hash': 1761781570904143370}
• 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': '0.0015846102242020684079903090926', 'prec': 110}, 'conductor': 17787, 'gens': [], 'heights': [], 'lmfdb_label': '17787.m1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.087398881661928362388245370640', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3983821065908537982119259302461542608', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[4671, -4671, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [1, 0], '7': 'a', '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '17787.m1'}
• ec_torsion_growth •

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

  
  
  • id: 910265
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [2, 2]}
  • id: 910266
    {'degree': 4, 'field': [212, 38, -18, -1, 1], 'lmfdb_label': '17787.m1', 'torsion': [4]}
  • id: 910271
    {'degree': 8, 'field': [-1965, 948, -1092, 287, -140, -7, 7, -4, 1], 'lmfdb_label': '17787.m1', 'torsion': [6]}
  • id: 910269
    {'degree': 8, 'field': [16, 0, -39, 0, 73, 0, -15, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [8]}
  • id: 910270
    {'degree': 8, 'field': [16, 0, 39, 0, 73, 0, 15, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [8]}
  • id: 910268
    {'degree': 8, 'field': [576, 0, -1600, 0, 276, 0, -36, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [2, 4]}
  • id: 910267
    {'degree': 8, 'field': [3844, -2480, 800, -164, 125, -38, 2, -2, 1], 'lmfdb_label': '17787.m1', 'torsion': [2, 4]}
  • id: 910272
    {'degree': 16, 'field': [1296, 0, 0, 0, 35032, 0, 0, 0, -2367, 0, 0, 0, 186, 0, 0, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [4, 4]}
  • id: 910273
    {'degree': 16, 'field': [104976, 0, 0, 0, 13689, 0, 0, 0, 607, 0, 0, 0, 23, 0, 0, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [2, 8]}
  • id: 910274
    {'degree': 16, 'field': [205209, 0, -288648, 0, 711090, 0, -1512499, 0, 185225, 0, 1025, 0, -734, 0, 4, 0, 1], 'lmfdb_label': '17787.m1', 'torsion': [2, 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: 398304
    {'conductor': 17787, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '17787.m1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 398305
    {'conductor': 17787, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '17787.m1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 398306
    {'conductor': 17787, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '17787.m1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1782612
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3, 8, 608, 595], [609, 8, 608, 9], [1, 162, 154, 1], [5, 8, 48, 77], [360, 3, 221, 600], [466, 465, 21, 478], [285, 2, 22, 9]], 'adelic_image': '616.48.1.?', 'conductor': 17787, 'lmfdb_label': '17787.m1', 'prime': 0}
  • id: 83245
    {'conductor': 17787, 'elladic_image': '8.12.0.27', 'lmfdb_label': '17787.m1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 17787.m does not appear in ec_padic