Elliptic curve data - 6600.a2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '6600v', 'Clabel': '6600v3', 'Cnumber': 3, 'abc_quality': 0.9538342535176972, 'absD': 702768000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -2608, -30788], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 6600, 'degree': 12288, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.97403967738626831312065359145', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [122657188, 43923], 'lmfdb_iso': '6600.a', 'lmfdb_label': '6600.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -104, -288], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '20.12.0-4.c.1.1', '60.24.0-12.h.1.1', '88.12.0.?', '264.24.0.?', '440.24.0.?', '1320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.1054342283033836539663465713', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.40830192929740296536075284304', 'prec': 107}, 'szpiro_ratio': 4.003832196906954, '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, -1, 0, 0, 0, -4, 0, 1, 0, -1, 0, -6, 0, 0, 0, -6, 0, -8, 0], 'aplist': [0, -1, 0, -4, -1, -6, -6, -8, 0, -6, 0, -6, -10, 8, 0, -6, 4, -2, 12, -8, -2, -4, 12, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 6600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '6600.a', 'trace_hash': 1259190153216297185}
• 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': '0.14254759218703398539519730808', 'prec': 103}, 'conductor': 6600, 'gens': [[78, 484, 1], [57, 50, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2123894520680253395588389498', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.8147885502546868543631520159', 'prec': 100}], 'lmfdb_label': '6600.a2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.68789137927731756034832304022', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2724028691252137122164810975583269744', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-43, 0, 1]], 'xcoord_integral_points': [-43, -34, -18, 57, 78, 101]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 2, 0], '29': [2, 0], '31': [2, 2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 2, 0]}, 'iwp0': 0, 'lmfdb_label': '6600.a2'}
• ec_torsion_growth •

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

  
  
  • id: 345734
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [2, 2]}
  • id: 345736
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '6600.a2', 'torsion': [4]}
  • id: 345735
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [4]}
  • id: 345737
    {'degree': 4, 'field': [4, 0, 1, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [2, 4]}
  • id: 345738
    {'degree': 8, 'field': [1, 2, -4, 8, -5, -8, -4, -2, 1], 'lmfdb_label': '6600.a2', 'torsion': [2, 4]}
  • id: 345739
    {'degree': 8, 'field': [729, 0, 108, 0, 3, 0, 4, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [8]}
  • id: 345741
    {'degree': 8, 'field': [10646, -13316, 6170, -1474, 280, -22, -2, -4, 1], 'lmfdb_label': '6600.a2', 'torsion': [6]}
  • id: 345740
    {'degree': 8, 'field': [16624, 560, -206, -688, 295, 56, -14, -4, 1], 'lmfdb_label': '6600.a2', 'torsion': [8]}
  • id: 345742
    {'degree': 16, 'field': [1, -2, 2, -4, -22, 2, 48, 114, 163, 114, 48, 2, -22, -4, 2, -2, 1], 'lmfdb_label': '6600.a2', 'torsion': [4, 4]}
  • id: 345747
    {'degree': 16, 'field': [2304, 0, 35328, 0, 2164768, 0, 17664, 0, 525, 0, 2024, 0, 42, 0, 0, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [12]}
  • id: 345743
    {'degree': 16, 'field': [104976, 0, -11664, 0, -17172, 0, -8316, 0, 3213, 0, 408, 0, 127, 0, 8, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [2, 8]}
  • id: 345744
    {'degree': 16, 'field': [718936, 1050480, 1127632, 342192, -133310, -240900, -37634, 55272, 32665, -6528, -6830, 456, 808, -12, -44, 0, 1], 'lmfdb_label': '6600.a2', 'torsion': [2, 8]}
  • id: 345746
    {'degree': 16, 'field': [880656, -1350528, 1833664, -1062944, 494272, 75856, -138752, 88672, -27880, -640, 1976, -752, 388, -140, 40, -8, 1], 'lmfdb_label': '6600.a2', 'torsion': [12]}
  • id: 345745
    {'degree': 16, 'field': [8242641, 0, -3765096, 0, -258300, 0, 62856, 0, -52650, 0, -10152, 0, -252, 0, -24, 0, 1], 'lmfdb_label': '6600.a2', '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: 133758
    {'conductor': 6600, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '6600.a2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 133759
    {'conductor': 6600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6600.a2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 133760
    {'conductor': 6600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '6600.a2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 133761
    {'conductor': 6600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '6600.a2', 'prime': 11, 'reduction_type': -1, '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: 1707487
    {'adelic_gens': [[356, 265, 1255, 6], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [263, 0, 0, 1319], [1291, 1290, 970, 571], [496, 635, 235, 1056], [1313, 8, 1312, 9], [1201, 800, 580, 561], [7, 6, 1314, 1315]], 'adelic_image': '1320.48.0.?', 'conductor': 6600, 'lmfdb_label': '6600.a2', 'prime': 0}
  • id: 32582
    {'conductor': 6600, 'elladic_image': '4.6.0.1', 'lmfdb_label': '6600.a2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 262888
    {'lmfdb_iso': '6600.a', 'p': 7, 'prec': 20, 'unit': 5396368952350715, 'val': 2}
  • id: 262892
    {'lmfdb_iso': '6600.a', 'p': 13, 'prec': 20, 'unit': 61600271327286702683, 'val': 2}
  • id: 262894
    {'lmfdb_iso': '6600.a', 'p': 17, 'prec': 20, 'unit': 210488028532464134668189, 'val': 2}
  • id: 262884
    {'lmfdb_iso': '6600.a', 'p': 19, 'prec': 20, 'unit': 275473787761200336099333, 'val': 2}
  • id: 262891
    {'lmfdb_iso': '6600.a', 'p': 29, 'prec': 20, 'unit': 4560850535286419797384674161, 'val': 2}
  • id: 262887
    {'lmfdb_iso': '6600.a', 'p': 37, 'prec': 20, 'unit': 118821154173617632326498783315, 'val': 2}
  • id: 262889
    {'lmfdb_iso': '6600.a', 'p': 41, 'prec': 20, 'unit': 3475153779783585100940015732159, 'val': 2}
  • id: 262890
    {'lmfdb_iso': '6600.a', 'p': 43, 'prec': 20, 'unit': 6163795232251467153065505208641, 'val': 2}
  • id: 262896
    {'lmfdb_iso': '6600.a', 'p': 53, 'prec': 20, 'unit': 353986852504979774153025419272342, 'val': 2}
  • id: 262900
    {'lmfdb_iso': '6600.a', 'p': 59, 'prec': 20, 'unit': 2847335910421812271382027345883596, 'val': 2}
  • id: 262901
    {'lmfdb_iso': '6600.a', 'p': 61, 'prec': 20, 'unit': 7622848014247677974541132679790135, 'val': 2}
  • id: 262886
    {'lmfdb_iso': '6600.a', 'p': 67, 'prec': 20, 'unit': 5764850370743344780161676735493671, 'val': 2}
  • id: 262899
    {'lmfdb_iso': '6600.a', 'p': 71, 'prec': 20, 'unit': 66552235253288142673661229127282799, 'val': 2}
  • id: 262897
    {'lmfdb_iso': '6600.a', 'p': 73, 'prec': 20, 'unit': 90495984654641786921046374679206235, 'val': 2}
  • id: 262893
    {'lmfdb_iso': '6600.a', 'p': 79, 'prec': 20, 'unit': 628472016568770813943112530295431777, 'val': 2}
  • id: 262895
    {'lmfdb_iso': '6600.a', 'p': 83, 'prec': 20, 'unit': 2774160338018727539985487123157981738, 'val': 2}
  • id: 262898
    {'lmfdb_iso': '6600.a', 'p': 89, 'prec': 20, 'unit': 5027759692781647569858546823569315353, 'val': 2}
  • id: 262885
    {'lmfdb_iso': '6600.a', 'p': 97, 'prec': 20, 'unit': 20700979905051199986390249871737645285, 'val': 2}