Elliptic curve data - 12544.c2

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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': '12544o', 'Clabel': '12544o1', 'Cnumber': 1, 'abc_quality': 0.9029767420170889, 'absD': 60236288, 'ainvs': [0, 1, 0, -163, 657], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 2, 'class_size': 2, 'cm': -8, 'conductor': 12544, 'degree': 3072, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.22240883388778987808778270538', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [8000, 1], 'lmfdb_iso': '12544.c', 'lmfdb_label': '12544.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -3, 1], 'min_quad_twist_disc': 28, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 7, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.92713536156754741806488721678', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 49], [7, 26, 256]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2704066260598257565278177574', 'prec': 103}, 'szpiro_ratio': 2.8505869211588686, '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, 0, -2, 0, 0, 0, 0, 0, 1, 0, 6, 0, 0, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, -2, 0, 0, 6, 0, 6, -2, 0, 0, 0, 0, -6, -10, 0, 0, -6, 0, -14, 0, 2, 0, -18, 18, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 12544, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '12544.c', 'trace_hash': 1763737845558409037}
• 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': '0.64094112960079204290439588747', 'prec': 103}, 'conductor': 12544, 'gens': [[16, 49, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.92713536156754741806488721678', 'prec': 103}], 'lmfdb_label': '12544.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9041298675921994108470380949', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5307722665233199831436886399029380797', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[9, 0, 1]], 'xcoord_integral_points': [9, 16, 23, 401]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [9, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [1, 1, 0], '37': [1, 1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '12544.c2'}
• ec_torsion_growth •

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

  
  
  • id: 647729
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 2]}
  • id: 647732
    {'degree': 4, 'field': [-98, 0, 28, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [6]}
  • id: 647730
    {'degree': 4, 'field': [98, 0, -28, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 4]}
  • id: 647731
    {'degree': 4, 'field': [294, 0, -28, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [6]}
  • id: 647733
    {'degree': 8, 'field': [1087, 800, 424, 56, -6, -24, 0, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 4]}
  • id: 647736
    {'degree': 8, 'field': [2401, 0, 0, 0, -196, 0, 0, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 6]}
  • id: 647735
    {'degree': 8, 'field': [21609, 0, -8232, 0, 784, 0, 0, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 6]}
  • id: 647734
    {'degree': 8, 'field': [86436, 0, 8232, 0, 490, 0, 28, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [3, 6]}
  • id: 647737
    {'degree': 12, 'field': [2823576, 0, 0, 0, 57624, 0, 2744, 0, 294, 0, 28, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [18]}
  • id: 647739
    {'degree': 16, 'field': [196, 0, -1904, 0, 648, 0, 896, 0, 1608, 0, 88, 0, -68, 0, -8, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 8]}
  • id: 647742
    {'degree': 16, 'field': [43873, 299736, -173904, -656128, 224380, 580448, -100444, -238480, 20600, 48728, -3152, -5272, 384, 304, -28, -8, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 12]}
  • id: 647741
    {'degree': 16, 'field': [125633, -662680, 1548328, -1476344, 1738384, -847256, 730228, -195384, 159476, -21720, 20232, -1168, 1500, -24, 60, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [2, 12]}
  • id: 647738
    {'degree': 16, 'field': [503521, -345400, 385000, -8400, 46840, 43912, 23896, 768, 6390, 2072, 200, 48, 120, -8, -8, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [4, 4]}
  • id: 647740
    {'degree': 16, 'field': [5764801, 0, 0, 0, -470596, 0, 0, 0, 36015, 0, 0, 0, -196, 0, 0, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [6, 6]}
  • id: 647743
    {'degree': 20, 'field': [99431287648, 0, 28408939328, 0, 3043814928, 0, 289887136, 0, 41412448, 0, 2689120, 0, 220892, 0, 13720, 0, 882, 0, 28, 0, 1], 'lmfdb_label': '12544.c2', 'torsion': [22]}
• 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: 271750
    {'conductor': 12544, 'conductor_valuation': 8, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '12544.c2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 271751
    {'conductor': 12544, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12544.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• lmfdb_label 12544.c2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 549311
    {'lmfdb_iso': '12544.c', 'p': 11, 'prec': 20, 'unit': 19390270350780358836, 'val': 1}
  • id: 549312
    {'lmfdb_iso': '12544.c', 'p': 17, 'prec': 20, 'unit': 135841013312044720416017, 'val': 1}
  • id: 549313
    {'lmfdb_iso': '12544.c', 'p': 19, 'prec': 20, 'unit': 741523785542206239787458, 'val': 1}
  • id: 549310
    {'lmfdb_iso': '12544.c', 'p': 41, 'prec': 20, 'unit': 2958126776361871540670740077937, 'val': 1}
  • id: 549314
    {'lmfdb_iso': '12544.c', 'p': 43, 'prec': 20, 'unit': 5900164429992900730166151490336, 'val': 1}
  • id: 549317
    {'lmfdb_iso': '12544.c', 'p': 59, 'prec': 20, 'unit': 2954802977223349760627756998450565, 'val': 1}
  • id: 549309
    {'lmfdb_iso': '12544.c', 'p': 67, 'prec': 20, 'unit': 24589509341602073812415568206153891, 'val': 1}
  • id: 549315
    {'lmfdb_iso': '12544.c', 'p': 73, 'prec': 20, 'unit': 45593443954718741867704034184101174, 'val': 1}
  • id: 549308
    {'lmfdb_iso': '12544.c', 'p': 83, 'prec': 20, 'unit': 1819510737119616140293475049463429894, 'val': 1}
  • id: 549316
    {'lmfdb_iso': '12544.c', 'p': 89, 'prec': 20, 'unit': 3777534996679154908715940531270071399, 'val': 1}
  • id: 549307
    {'lmfdb_iso': '12544.c', 'p': 97, 'prec': 20, 'unit': 42792096422139389276181358154550844317, 'val': 1}