Elliptic curve data - 12600.o3

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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': '12600bs', 'Clabel': '12600bs1', 'Cnumber': 1, 'abc_quality': 0.8244378162058338, 'absD': 306180000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 0, 0, -8175, 283250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 12600, 'degree': 12288, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0505032666085646664022593863', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4], 'jinv': [20720464, 105], 'lmfdb_iso': '12600.o', 'lmfdb_label': '12600.o3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -36, -96], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '56.24.0-56.bb.1.15', '120.24.0.?', '210.6.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1627438971570830995945186484', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1575], [3, 8, 1400], [5, 18, 504], [7, 8, 1800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.76561995431583723954056431308', 'prec': 107}, 'szpiro_ratio': 4.092602561518643, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, 0, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, 0, -1, 0, -2, 2, 4, 0, -2, 4, -2, 2, -8, -4, -2, -12, -14, -8, 8, 2, 8, -4, 18, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 12600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '12600.o', 'trace_hash': 2124353374480951294}
• 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': '0.12233323380034942443173640434', 'prec': 103}, 'conductor': 12600, 'gens': [[49, 18, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1627438971570830995945186484', 'prec': 100}], 'lmfdb_label': '12600.o3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.97430372172176839384415542392', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5314628256376767221772592603319034577', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[85, 450, 1]], 'xcoord_integral_points': [-95, 10, 35, 49, 55, 85, 631]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [3, 3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '12600.o3'}
• ec_torsion_growth •

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

  
  
  • id: 650190
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '12600.o3', 'torsion': [2, 4]}
  • id: 650191
    {'degree': 4, 'field': [-30, -60, -30, 0, 1], 'lmfdb_label': '12600.o3', 'torsion': [8]}
  • id: 650195
    {'degree': 8, 'field': [1, -4, 4, -26, 20, -26, 4, -4, 1], 'lmfdb_label': '12600.o3', 'torsion': [12]}
  • id: 650193
    {'degree': 8, 'field': [1, 0, -26, 0, 66, 0, -26, 0, 1], 'lmfdb_label': '12600.o3', 'torsion': [2, 8]}
  • id: 650194
    {'degree': 8, 'field': [1, 0, 18, 0, -22, 0, 18, 0, 1], 'lmfdb_label': '12600.o3', 'torsion': [2, 8]}
  • id: 650192
    {'degree': 8, 'field': [37636, 0, 11764, 0, 1461, 0, 79, 0, 1], 'lmfdb_label': '12600.o3', 'torsion': [4, 4]}
  • id: 650196
    {'degree': 16, 'field': [1, 0, -68, -240, 328, 2400, 2644, -2160, -11690, -2160, 2644, 2400, 328, -240, -68, 0, 1], 'lmfdb_label': '12600.o3', 'torsion': [16]}
  • id: 650197
    {'degree': 16, 'field': [9, 0, 1308, 0, -3260, 0, 2616, 0, 30, 0, -436, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '12600.o3', 'torsion': [2, 12]}
• 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: 272974
    {'conductor': 12600, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '12600.o3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 272975
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '12600.o3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 272976
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '12600.o3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 272977
    {'conductor': 12600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12600.o3', '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: 1747609
    {'adelic_gens': [[556, 839, 257, 834], [833, 8, 832, 9], [1, 0, 8, 1], [113, 108, 110, 527], [1, 8, 0, 1], [1, 4, 4, 17], [248, 3, 365, 2], [323, 318, 530, 107], [332, 839, 649, 834], [7, 6, 834, 835]], 'adelic_image': '840.48.0.?', 'conductor': 12600, 'lmfdb_label': '12600.o3', 'prime': 0}
  • id: 59988
    {'conductor': 12600, 'elladic_image': '4.12.0.7', 'lmfdb_label': '12600.o3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 552067
    {'lmfdb_iso': '12600.o', 'p': 13, 'prec': 20, 'unit': 392381422102872840449, 'val': 1}
  • id: 552069
    {'lmfdb_iso': '12600.o', 'p': 17, 'prec': 20, 'unit': 93148636446398766872474, 'val': 1}
  • id: 552070
    {'lmfdb_iso': '12600.o', 'p': 19, 'prec': 20, 'unit': 1640183839429310696520865, 'val': 1}
  • id: 552066
    {'lmfdb_iso': '12600.o', 'p': 29, 'prec': 20, 'unit': 4109484917251134804679228895, 'val': 1}
  • id: 552077
    {'lmfdb_iso': '12600.o', 'p': 31, 'prec': 20, 'unit': 3354918083362642983668787946, 'val': 1}
  • id: 552062
    {'lmfdb_iso': '12600.o', 'p': 37, 'prec': 20, 'unit': 75322298175218464186283907376, 'val': 1}
  • id: 552064
    {'lmfdb_iso': '12600.o', 'p': 41, 'prec': 20, 'unit': 1024880411491328971327282462480, 'val': 1}
  • id: 552065
    {'lmfdb_iso': '12600.o', 'p': 43, 'prec': 20, 'unit': 5730096552558562220254404815361, 'val': 1}
  • id: 552075
    {'lmfdb_iso': '12600.o', 'p': 47, 'prec': 20, 'unit': 646302554004902634674352532468, 'val': 2}
  • id: 552071
    {'lmfdb_iso': '12600.o', 'p': 53, 'prec': 20, 'unit': 550198905069504442102876560813112, 'val': 1}
  • id: 552072
    {'lmfdb_iso': '12600.o', 'p': 59, 'prec': 20, 'unit': 1798994122404917598087747028340025, 'val': 1}
  • id: 552076
    {'lmfdb_iso': '12600.o', 'p': 61, 'prec': 20, 'unit': 5520283484937294947028145437116639, 'val': 1}
  • id: 552061
    {'lmfdb_iso': '12600.o', 'p': 67, 'prec': 20, 'unit': 32347071467809891801486346114707509, 'val': 1}
  • id: 552063
    {'lmfdb_iso': '12600.o', 'p': 71, 'prec': 20, 'unit': 123179056228271809475632101498637128, 'val': 1}
  • id: 552073
    {'lmfdb_iso': '12600.o', 'p': 73, 'prec': 20, 'unit': 110203630227553786567778526675816199, 'val': 1}
  • id: 552068
    {'lmfdb_iso': '12600.o', 'p': 79, 'prec': 20, 'unit': 470406160923678335285992570302828029, 'val': 1}
  • id: 552060
    {'lmfdb_iso': '12600.o', 'p': 83, 'prec': 20, 'unit': 2772163778254085465331668729712386561, 'val': 1}
  • id: 552074
    {'lmfdb_iso': '12600.o', 'p': 89, 'prec': 20, 'unit': 979453713621510846839885479290740113, 'val': 1}
  • id: 552059
    {'lmfdb_iso': '12600.o', 'p': 97, 'prec': 20, 'unit': 50087565966390780911419195622448186794, 'val': 1}