Elliptic curve data - 12600.ci4

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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': '12600cc', 'Clabel': '12600cc1', 'Cnumber': 1, 'abc_quality': 0.8915192755066496, 'absD': 20412000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, 225, -6750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12600, 'degree': 8192, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.65884509319257223523422662662', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 60, 'isogeny_degrees': [1, 2, 4], 'jinv': [432, 7], 'lmfdb_iso': '12600.ci', 'lmfdb_label': '12600.ci4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, 2], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '14.6.0.b.1', '28.12.0.g.1', '56.24.0.bn.1', '60.12.0-4.c.1.2', '120.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 6, 1400], [5, 14, 504], [7, 8, 1800]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1572781277318296707085970728', 'prec': 103}, 'szpiro_ratio': 3.3001005352387893, '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, 0, 0, 0, 0, 1, 0, 0, 0, 4, 0, -2, 0, 0, 0, -6, 0, 8, 0], 'aplist': [0, 0, 0, 1, 4, -2, -6, 8, 0, -6, 8, 2, -2, 4, -8, 6, 0, -6, 4, 8, -10, 16, 8, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 12600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '12600.ci', 'trace_hash': 1152124527560082576}
• 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': '0.26775304788765817408197499238', 'prec': 103}, 'conductor': 12600, 'gens': [], 'heights': [], 'lmfdb_label': '12600.ci4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.59287924894556234015731486817', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3715169957822493606292594726887703792', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[15, 0, 1]], 'xcoord_integral_points': [15]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '12600.ci4'}
• ec_torsion_growth •

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

  
  
  • id: 650491
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '12600.ci4', 'torsion': [4]}
  • id: 650490
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '12600.ci4', 'torsion': [2, 2]}
  • id: 650492
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '12600.ci4', 'torsion': [4]}
  • id: 650493
    {'degree': 4, 'field': [4, 0, 11, 0, 1], 'lmfdb_label': '12600.ci4', 'torsion': [2, 4]}
  • id: 650497
    {'degree': 8, 'field': [-1421, -1442, -266, 406, 160, -26, -14, -2, 1], 'lmfdb_label': '12600.ci4', 'torsion': [6]}
  • id: 650495
    {'degree': 8, 'field': [4, 0, -1768, 0, 488, 0, -44, 0, 1], 'lmfdb_label': '12600.ci4', 'torsion': [8]}
  • id: 650496
    {'degree': 8, 'field': [766, -916, 630, -224, 95, -32, 18, -4, 1], 'lmfdb_label': '12600.ci4', 'torsion': [8]}
  • id: 650494
    {'degree': 8, 'field': [4081, -2450, 1610, -588, 263, -60, 26, -2, 1], 'lmfdb_label': '12600.ci4', 'torsion': [2, 4]}
  • id: 650498
    {'degree': 16, 'field': [7056, 0, 94080, 0, 101500, 0, 46928, 0, 15513, 0, 3280, 0, 426, 0, 32, 0, 1], 'lmfdb_label': '12600.ci4', 'torsion': [4, 4]}
  • id: 650503
    {'degree': 16, 'field': [24459, -19386, -8910, 4632, 3852, 7692, -5238, -2118, 1900, -902, 538, 64, 28, 4, 10, -2, 1], 'lmfdb_label': '12600.ci4', 'torsion': [12]}
  • id: 650501
    {'degree': 16, 'field': [27454, -123256, 285870, -413126, 441704, -369996, 250684, -144574, 62751, -19918, 4666, 378, -340, 172, 0, -4, 1], 'lmfdb_label': '12600.ci4', 'torsion': [2, 6]}
  • id: 650499
    {'degree': 16, 'field': [56464, -24064, 43000, -65320, 117390, -151012, 145802, -110080, 66953, -32984, 13826, -4640, 1380, -308, 64, -8, 1], 'lmfdb_label': '12600.ci4', 'torsion': [2, 8]}
  • id: 650502
    {'degree': 16, 'field': [192859, -330458, 315068, -207966, 58100, 38408, -62276, 49188, -27452, 9882, -968, -722, 140, 72, -16, -4, 1], 'lmfdb_label': '12600.ci4', 'torsion': [12]}
  • id: 650500
    {'degree': 16, 'field': [1883536, -1476736, 1934920, -990040, 689298, -263164, 143246, -59200, 30833, -13160, 5294, -1712, 528, -140, 40, -8, 1], 'lmfdb_label': '12600.ci4', 'torsion': [2, 8]}
• 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: 273078
    {'conductor': 12600, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '12600.ci4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 273079
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12600.ci4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 273080
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '12600.ci4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 273081
    {'conductor': 12600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12600.ci4', 'prime': 7, '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: 1747570
    {'adelic_gens': [[559, 0, 0, 839], [211, 150, 810, 331], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [503, 0, 0, 839], [1, 4, 4, 17], [136, 675, 645, 226], [7, 6, 834, 835], [361, 360, 510, 31]], 'adelic_image': '840.48.0.?', 'conductor': 12600, 'lmfdb_label': '12600.ci4', 'prime': 0}
  • id: 59957
    {'conductor': 12600, 'elladic_image': '8.12.0.9', 'lmfdb_label': '12600.ci4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 12600.ci does not appear in ec_padic