Elliptic curve data - 62400.cr2

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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': '62400en', 'Clabel': '62400en2', 'Cnumber': 2, 'abc_quality': 0.9871496807008809, 'absD': 389376000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -5233, 144337], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 65536, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0078442807197691656103770072', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 69, 'isogeny_degrees': [1, 2], 'jinv': [61918288, 1521], 'lmfdb_iso': '62400.cr', 'lmfdb_label': '62400.cr2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -52, -160], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0.b.1', '40.12.0-2.a.1.1', '52.12.0.b.1', '120.24.0.?', '156.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2639400966793492590103387319', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 20800], [5, 14, 2496], [13, 14, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.60554638615055054934344013445', 'prec': 107}, 'szpiro_ratio': 3.378401519735526, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, -1, 0, 0, 0, 1, -2, -4, 0, -6, 0, -2, 6, 12, -4, 6, -8, 2, -4, 12, 14, 0, -8, -18, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 62400, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '62400.cr', 'trace_hash': 1019910130840902838}
• 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': '0.13322863567456045206933114444', 'prec': 103}, 'conductor': 62400, 'gens': [[-3, 400, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2639400966793492590103387319', 'prec': 100}], 'lmfdb_label': '62400.cr2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.94798688065243882485831614752', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.7927945183303930233932161293631977153', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[37, 0, 1], [47, 0, 1]], 'xcoord_integral_points': [-83, -3, 21, 37, 47, 67, 112]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.cr2'}
• ec_torsion_growth •

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

  
  
  • id: 2987367
    {'degree': 4, 'field': [39, 26, -25, -2, 1], 'lmfdb_label': '62400.cr2', 'torsion': [2, 4]}
  • id: 2987369
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '62400.cr2', 'torsion': [2, 4]}
  • id: 2987368
    {'degree': 4, 'field': [625, 0, 80, 0, 1], 'lmfdb_label': '62400.cr2', 'torsion': [2, 4]}
  • id: 2987370
    {'degree': 8, 'field': [-30000, 0, -200000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '62400.cr2', 'torsion': [2, 6]}
  • id: 2987374
    {'degree': 16, 'field': [712336, 0, -740992, 0, 234880, 0, -37792, 0, 7960, 0, -64, 0, 112, 0, 8, 0, 1], 'lmfdb_label': '62400.cr2', 'torsion': [2, 8]}
  • id: 2987372
    {'degree': 16, 'field': [781456, 0, -903136, 0, -87568, 0, 133536, 0, -4612, 0, -4416, 0, 548, 0, -40, 0, 1], 'lmfdb_label': '62400.cr2', 'torsion': [2, 8]}
  • id: 2987371
    {'degree': 16, 'field': [2193361, -1321052, -679412, -307880, 714995, -24728, -19536, -77840, 22664, -5020, 2646, 164, 95, -40, 22, -4, 1], 'lmfdb_label': '62400.cr2', 'torsion': [4, 4]}
  • id: 2987373
    {'degree': 16, 'field': [38241856, 0, 120389760, 0, 260911648, 0, -33721536, 0, 3471444, 0, -16104, 0, -464, 0, 36, 0, 1], 'lmfdb_label': '62400.cr2', '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: 1505069
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '62400.cr2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1505070
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62400.cr2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1505071
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '62400.cr2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1505072
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62400.cr2', 'prime': 13, '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: 2077417
    {'adelic_gens': [[259, 620, 830, 1239], [1, 4, 0, 1], [779, 0, 0, 1559], [159, 620, 160, 619], [623, 0, 0, 1559], [1557, 4, 1556, 5], [1, 0, 4, 1], [81, 940, 320, 11], [1081, 1250, 0, 1]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.cr2', 'prime': 0}
  • id: 262485
    {'conductor': 62400, 'elladic_image': '2.6.0.1', 'lmfdb_label': '62400.cr2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3174567
    {'lmfdb_iso': '62400.cr', 'p': 17, 'prec': 20, 'unit': 229823664639313326514164, 'val': 1}
  • id: 3174558
    {'lmfdb_iso': '62400.cr', 'p': 19, 'prec': 20, 'unit': 820873016337134047371441, 'val': 1}
  • id: 3174565
    {'lmfdb_iso': '62400.cr', 'p': 29, 'prec': 20, 'unit': 1871267583818877547819959760, 'val': 1}
  • id: 3174561
    {'lmfdb_iso': '62400.cr', 'p': 37, 'prec': 20, 'unit': 90553228230032771391223835460, 'val': 1}
  • id: 3174563
    {'lmfdb_iso': '62400.cr', 'p': 41, 'prec': 20, 'unit': 648556495512419225658593720613, 'val': 1}
  • id: 3174564
    {'lmfdb_iso': '62400.cr', 'p': 43, 'prec': 20, 'unit': 6399924000242995906719456900104, 'val': 1}
  • id: 3174566
    {'lmfdb_iso': '62400.cr', 'p': 47, 'prec': 20, 'unit': 38364781344503311108122220204282, 'val': 1}
  • id: 3174569
    {'lmfdb_iso': '62400.cr', 'p': 53, 'prec': 20, 'unit': 325111701098370045020063384310222, 'val': 1}
  • id: 3174572
    {'lmfdb_iso': '62400.cr', 'p': 59, 'prec': 20, 'unit': 1253032271899762410631955173617147, 'val': 1}
  • id: 3174573
    {'lmfdb_iso': '62400.cr', 'p': 61, 'prec': 20, 'unit': 7315985192093642789239942186501556, 'val': 1}
  • id: 3174560
    {'lmfdb_iso': '62400.cr', 'p': 67, 'prec': 20, 'unit': 19229892176295414825540301370206893, 'val': 1}
  • id: 3174562
    {'lmfdb_iso': '62400.cr', 'p': 71, 'prec': 20, 'unit': 28379370154941379858723743661425077, 'val': 1}
  • id: 3174570
    {'lmfdb_iso': '62400.cr', 'p': 73, 'prec': 20, 'unit': 241315714880350803411199763396496797, 'val': 1}
  • id: 3174568
    {'lmfdb_iso': '62400.cr', 'p': 83, 'prec': 20, 'unit': 1248983219344648124988421053225051129, 'val': 1}
  • id: 3174571
    {'lmfdb_iso': '62400.cr', 'p': 89, 'prec': 20, 'unit': 9015477997776103711193011541054869991, 'val': 1}
  • id: 3174559
    {'lmfdb_iso': '62400.cr', 'p': 97, 'prec': 20, 'unit': 53599184194262801546497734949228749378, 'val': 1}