Elliptic curve data - 62400.dz1

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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': '62400ej', 'Clabel': '62400ej4', 'Cnumber': 4, 'abc_quality': 1.0375259015845228, 'absD': 41533440000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, -1, 0, -138445633, -626953080863], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 5898240, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0417032040278152580189267684', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 103, 'isogeny_degrees': [1, 2, 4], 'jinv': [71647584155243142409, 10140000], 'lmfdb_iso': '62400.dz', 'lmfdb_label': '62400.dz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -86529, 9789652], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '20.12.0-4.c.1.1', '24.24.0-24.s.1.5', '40.24.0-40.bb.1.1', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 20800], [5, 18, 2496], [13, 14, 4800]], 'sha': 9, 'sha_primes': [3], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1972634769708471065926989196', 'prec': 100}, 'szpiro_ratio': 6.145240281806801, '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, 0, 0, -1, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, -1, 0, 4, 0, -1, 2, 4, 8, -2, 8, 2, -6, -12, 0, 10, 0, 10, 4, 16, 6, 8, 4, -14, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 62400, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '62400.dz', 'trace_hash': 723936093828701355}
• 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': '0.0022803954500392139165086859560', 'prec': 110}, 'conductor': 62400, 'gens': [], 'heights': [], 'lmfdb_label': '62400.dz1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.044012875071596322514071198475', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1689270051549352210131262901770035872', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-6793, 0, 1]], 'xcoord_integral_points': [-6793]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': 'a', '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '62400.dz1'}
• ec_torsion_growth •

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

  
  
  • id: 2987271
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [2, 2]}
  • id: 2987273
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [4]}
  • id: 2987272
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [4]}
  • id: 2987274
    {'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [2, 4]}
  • id: 2987278
    {'degree': 8, 'field': [-480000, 0, -62750, 0, -2400, 0, 0, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [6]}
  • id: 2987277
    {'degree': 8, 'field': [81, 0, 36, 0, 12, 0, 4, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [8]}
  • id: 2987276
    {'degree': 8, 'field': [7804, -364, -2155, 134, 337, -44, -7, -2, 1], 'lmfdb_label': '62400.dz1', 'torsion': [8]}
  • id: 2987275
    {'degree': 8, 'field': [16422745, 64900, -73006, 16216, -8117, 8, 2, -4, 1], 'lmfdb_label': '62400.dz1', 'torsion': [2, 4]}
  • id: 2987282
    {'degree': 16, 'field': [-246614, 1268104, 85293, -1743952, -1392844, 2330874, -165725, -459296, 39789, 41458, -365, -3528, -49, 266, -18, -8, 1], 'lmfdb_label': '62400.dz1', 'torsion': [2, 6]}
  • id: 2987281
    {'degree': 16, 'field': [81, 0, -108, 0, -108, 0, -408, 0, 823, 0, 136, 0, -12, 0, 4, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [2, 8]}
  • id: 2987280
    {'degree': 16, 'field': [21212350, -22660500, 1686410, 872500, 4647611, -1757484, -678694, 138660, 153613, -24732, -9866, -532, 1041, -4, -26, -4, 1], 'lmfdb_label': '62400.dz1', 'torsion': [2, 8]}
  • id: 2987284
    {'degree': 16, 'field': [25532809, 0, 19701388, 0, 2846440, 0, 798576, 0, 67770, 0, 9924, 0, 508, 0, 40, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [12]}
  • id: 2987283
    {'degree': 16, 'field': [5863730625, 0, 731101500, 0, -62071100, 0, 10821300, 0, 1710150, 0, 1460, 0, 1860, 0, 60, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [12]}
  • id: 2987279
    {'degree': 16, 'field': [1071835737025, 0, -37533461460, 0, 4390175926, 0, -61740288, 0, 6171399, 0, -12024, 0, 4114, 0, 12, 0, 1], 'lmfdb_label': '62400.dz1', 'torsion': [4, 4]}
• 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: 1505033
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 23, 'j_denominator_valuation': 5, 'kodaira_symbol': -17, 'lmfdb_label': '62400.dz1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1505034
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.dz1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1505035
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '62400.dz1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1505036
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62400.dz1', '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: 2077499
    {'adelic_gens': [[7, 6, 114, 115], [113, 8, 112, 9], [23, 112, 92, 87], [72, 7, 53, 66], [1, 0, 8, 1], [1, 4, 4, 17], [104, 37, 101, 72], [1, 8, 0, 1], [88, 3, 85, 2]], 'adelic_image': '120.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.dz1', 'prime': 0}
  • id: 262568
    {'conductor': 62400, 'elladic_image': '8.12.0.12', 'lmfdb_label': '62400.dz1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 62400.dz does not appear in ec_padic