Elliptic curve data - 115600.cd1

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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': '115600co', 'Clabel': '115600co2', 'Cnumber': 2, 'abc_quality': 0.961648299562589, 'absD': 11858787649700000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 204, 'ainvs': [0, 1, 0, -1360708, 632550088], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 115600, 'degree': 1244160, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4261887737086775317432040346', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 55, 'isogeny_degrees': [1, 3], 'jinv': [-115431760, 4913], 'lmfdb_iso': '115600.cd', 'lmfdb_label': '115600.cd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -188, -968], 'min_quad_twist_disc': -340, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.8.0-3.a.1.2', '68.2.0.a.1', '204.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.5610558666104226240812149422', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52547462698212763106022424413', 'prec': 107}, 'szpiro_ratio': 4.636783614027191, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 0, -2, 0, 0, 0, -1, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 1, 0, -1, 0, -1, 0, 4, 0, 6, -1, -2, 0, -2, 6, 3, 6, 10, 4, -3, -2, -1, -12, -6, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 115600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '115600.cd', 'trace_hash': 942737910885774032}
• 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': '0.0078097873187359052607718053173', 'prec': 110}, 'conductor': 115600, 'gens': [[37683, 7311700, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.5610558666104226240812149422', 'prec': 100}], 'lmfdb_label': '115600.cd1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.22403777177303336000691996664', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.4753193903645246709150527109216024618', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [37683]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [3, 0], '17': 'a', '19': [1, 0], '23': [3, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '115600.cd1'}
• ec_torsion_growth •

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

  
  
  • id: 5299675
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '115600.cd1', 'torsion': [3]}
  • id: 5299676
    {'degree': 3, 'field': [-8, 12, -1, 1], 'lmfdb_label': '115600.cd1', 'torsion': [2]}
  • id: 5299679
    {'degree': 6, 'field': [-359, -340, -17, -20, -17, 0, 1], 'lmfdb_label': '115600.cd1', 'torsion': [6]}
  • id: 5299677
    {'degree': 6, 'field': [17, 0, 47, 0, -1, 0, 1], 'lmfdb_label': '115600.cd1', 'torsion': [2, 2]}
  • id: 5299678
    {'degree': 6, 'field': [6996, -152, 916, -68, 46, -2, 1], 'lmfdb_label': '115600.cd1', 'torsion': [3]}
  • id: 5299680
    {'degree': 12, 'field': [-8, 48, -116, 140, -102, 96, -136, 132, -64, 4, 12, -6, 1], 'lmfdb_label': '115600.cd1', 'torsion': [4]}
  • id: 5299682
    {'degree': 12, 'field': [289, 0, -799, 0, 2226, 0, 81, 0, -46, 0, 1, 0, 1], 'lmfdb_label': '115600.cd1', 'torsion': [2, 6]}
  • id: 5299681
    {'degree': 12, 'field': [25074873, -9210276, 10551387, -2785650, 1655878, -328320, 130847, -18978, 5538, -540, 119, -6, 1], 'lmfdb_label': '115600.cd1', 'torsion': [3, 3]}
  • id: 5299683
    {'degree': 18, 'field': [-434948859, 59602068, -146898360, 134456706, 279830727, 62923392, -14051193, -10167156, 654435, 2629764, 549510, -195942, -71360, 5508, 3867, -34, -105, 0, 1], 'lmfdb_label': '115600.cd1', 'torsion': [9]}
  • id: 5299684
    {'degree': 18, 'field': [1058, -2280, 9914, 12590, -452, -108992, 163123, -90084, 14392, 5384, -5369, 4134, -1686, 136, 99, -48, 24, -8, 1], 'lmfdb_label': '115600.cd1', '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: 2842472
    {'conductor': 115600, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '115600.cd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2842473
    {'conductor': 115600, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '115600.cd1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 2842474
    {'conductor': 115600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '115600.cd1', 'prime': 17, '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: 2419523
    {'adelic_gens': [[4, 3, 9, 7], [1, 6, 0, 1], [1, 0, 6, 1], [199, 6, 198, 7], [201, 202, 194, 197], [167, 198, 93, 185], [3, 4, 8, 11], [101, 198, 99, 185], [122, 87, 163, 7]], 'adelic_image': '204.16.0.?', 'conductor': 115600, 'lmfdb_label': '115600.cd1', 'prime': 0}
  • id: 455986
    {'conductor': 115600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '115600.cd1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 6035741
    {'lmfdb_iso': '115600.cd', 'p': 7, 'prec': 20, 'unit': 5783514467934428, 'val': 1}
  • id: 6035745
    {'lmfdb_iso': '115600.cd', 'p': 13, 'prec': 20, 'unit': 75486341416292567940, 'val': 2}
  • id: 6035748
    {'lmfdb_iso': '115600.cd', 'p': 19, 'prec': 20, 'unit': 1539453485558221028461723, 'val': 1}
  • id: 6035744
    {'lmfdb_iso': '115600.cd', 'p': 29, 'prec': 20, 'unit': 935149581597169811807814904, 'val': 1}
  • id: 6035754
    {'lmfdb_iso': '115600.cd', 'p': 31, 'prec': 20, 'unit': 7568021151945621151650453037, 'val': 1}
  • id: 6035740
    {'lmfdb_iso': '115600.cd', 'p': 37, 'prec': 20, 'unit': 412669074316112342479727172381, 'val': 1}
  • id: 6035743
    {'lmfdb_iso': '115600.cd', 'p': 43, 'prec': 20, 'unit': 2230514076089612825821786641238, 'val': 1}
  • id: 6035752
    {'lmfdb_iso': '115600.cd', 'p': 47, 'prec': 20, 'unit': 51653536832975178792748274693533, 'val': 1}
  • id: 6035749
    {'lmfdb_iso': '115600.cd', 'p': 53, 'prec': 20, 'unit': 284309083024757375240130591036532, 'val': 1}
  • id: 6035747
    {'lmfdb_iso': '115600.cd', 'p': 59, 'prec': 20, 'unit': 4356987033130796447084560094315612, 'val': 1}
  • id: 6035753
    {'lmfdb_iso': '115600.cd', 'p': 61, 'prec': 20, 'unit': 1187679862887506865021298412738664, 'val': 1}
  • id: 6035739
    {'lmfdb_iso': '115600.cd', 'p': 67, 'prec': 20, 'unit': 22118049090092535420945398237998313, 'val': 1}
  • id: 6035751
    {'lmfdb_iso': '115600.cd', 'p': 71, 'prec': 20, 'unit': 60892842527775443508815824587353051, 'val': 1}
  • id: 6035742
    {'lmfdb_iso': '115600.cd', 'p': 73, 'prec': 20, 'unit': 63583102650560177325246496855212934, 'val': 1}
  • id: 6035746
    {'lmfdb_iso': '115600.cd', 'p': 79, 'prec': 20, 'unit': 49113206495355738514626702025482573, 'val': 1}
  • id: 6035738
    {'lmfdb_iso': '115600.cd', 'p': 83, 'prec': 20, 'unit': 250209518809819403016935480821012892, 'val': 1}
  • id: 6035750
    {'lmfdb_iso': '115600.cd', 'p': 89, 'prec': 20, 'unit': 10325593027771965179530549535663604376, 'val': 1}
  • id: 6035737
    {'lmfdb_iso': '115600.cd', 'p': 97, 'prec': 20, 'unit': 40177229303493003972680892972630333110, 'val': 1}