Elliptic curve data - 62400.fs3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '62400cq', 'Clabel': '62400cq1', 'Cnumber': 1, 'abc_quality': 0.9241957238555172, 'absD': 16848000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, 1, 0, -733, 4163], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 32768, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66127069043979651090176094645', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 2, 'iso_nlabel': 148, 'isogeny_degrees': [1, 2, 4], 'jinv': [2725888, 1053], 'lmfdb_iso': '62400.fs', 'lmfdb_label': '62400.fs3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -7, 2], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.z.1', '26.6.0.b.1', '40.12.0-4.c.1.2', '52.12.0.g.1', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.7745753051930334940728443706', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 325], [3, 4, 20800], [5, 14, 2496], [13, 14, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.72107091624387476757964548804', 'prec': 107}, 'szpiro_ratio': 2.844442739447851, '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, 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.fs', 'trace_hash': 2184672435620705801}
• 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': '0.26645727134912090413866228887', 'prec': 103}, 'conductor': 62400, 'gens': [[-2, 75, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.7745753051930334940728443706', 'prec': 100}], 'lmfdb_label': '62400.fs3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.1243078434407673747564599196', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.9806757376192843397014798726377193466', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[23, 0, 1]], 'xcoord_integral_points': [-13, -2, 23]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': [1, 1, 0], '11': [3, 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': [3, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.fs3'}
• ec_torsion_growth •

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

  
  
  • id: 2986401
    {'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [4]}
  • id: 2986402
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [4]}
  • id: 2986400
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '62400.fs3', 'torsion': [2, 2]}
  • id: 2986403
    {'degree': 4, 'field': [39, 26, -25, -2, 1], 'lmfdb_label': '62400.fs3', 'torsion': [2, 4]}
  • id: 2986407
    {'degree': 8, 'field': [-30000, 0, 200000, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [6]}
  • id: 2986406
    {'degree': 8, 'field': [5625, 0, -3000, 0, 475, 0, -20, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [8]}
  • id: 2986404
    {'degree': 8, 'field': [5625, 0, 2500, 0, -125, 0, 10, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [2, 4]}
  • id: 2986405
    {'degree': 8, 'field': [122500, 0, -61000, 0, 5700, 0, -160, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [8]}
  • id: 2986408
    {'degree': 16, 'field': [25281, 179988, 640712, -318660, 109398, 103288, -28872, 32164, -3593, -2872, 1128, -76, 14, -44, 32, -8, 1], 'lmfdb_label': '62400.fs3', 'torsion': [4, 4]}
  • id: 2986410
    {'degree': 16, 'field': [11431161, 0, -25275768, 0, 20125330, 0, -7518588, 0, 1414659, 0, -134252, 0, 6270, 0, -132, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [2, 8]}
  • id: 2986413
    {'degree': 16, 'field': [56250000, 0, -45000000, 0, 9000000, 0, -850000, 0, 215000, 0, 5000, 0, 100, 0, -20, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [12]}
  • id: 2986409
    {'degree': 16, 'field': [129481641, 0, -89570514, 0, 28834621, 0, -5481846, 0, 676908, 0, -54098, 0, 2709, 0, -78, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [2, 8]}
  • id: 2986411
    {'degree': 16, 'field': [284765625, 0, -160312500, 0, -78750000, 0, 27675000, 0, 4458750, 0, 126500, 0, -6900, 0, 0, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [2, 6]}
  • id: 2986412
    {'degree': 16, 'field': [1091519278564, 0, -98232914312, 0, 14144631436, 0, -1506525488, 0, 76219000, 0, -2036684, 0, 30784, 0, -260, 0, 1], 'lmfdb_label': '62400.fs3', 'torsion': [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: 1504665
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '62400.fs3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504666
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62400.fs3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1504667
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '62400.fs3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504668
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.fs3', 'prime': 13, '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: 2077621
    {'adelic_gens': [[269, 270, 1430, 29], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [121, 120, 910, 751], [623, 0, 0, 1559], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [521, 320, 1460, 1281], [536, 315, 725, 626]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.fs3', 'prime': 0}
  • id: 262688
    {'conductor': 62400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62400.fs3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3174056
    {'lmfdb_iso': '62400.fs', 'p': 17, 'prec': 20, 'unit': 170186946972215967534386, 'val': 1}
  • id: 3174047
    {'lmfdb_iso': '62400.fs', 'p': 19, 'prec': 20, 'unit': 1840721931138168470003755, 'val': 1}
  • id: 3174054
    {'lmfdb_iso': '62400.fs', 'p': 29, 'prec': 20, 'unit': 3358077816062695435643912446, 'val': 1}
  • id: 3174050
    {'lmfdb_iso': '62400.fs', 'p': 37, 'prec': 20, 'unit': 72155007235046434345142629311, 'val': 1}
  • id: 3174052
    {'lmfdb_iso': '62400.fs', 'p': 41, 'prec': 20, 'unit': 44362638576021842967581308713, 'val': 2}
  • id: 3174053
    {'lmfdb_iso': '62400.fs', 'p': 43, 'prec': 20, 'unit': 6672783543687441171061002510254, 'val': 1}
  • id: 3174055
    {'lmfdb_iso': '62400.fs', 'p': 47, 'prec': 20, 'unit': 38622659032218953772354401649390, 'val': 1}
  • id: 3174058
    {'lmfdb_iso': '62400.fs', 'p': 53, 'prec': 20, 'unit': 217791366545902180673843516921996, 'val': 1}
  • id: 3174061
    {'lmfdb_iso': '62400.fs', 'p': 59, 'prec': 20, 'unit': 4266812255004165823611658830593699, 'val': 1}
  • id: 3174062
    {'lmfdb_iso': '62400.fs', 'p': 61, 'prec': 20, 'unit': 1287041046831524593059767390630125, 'val': 1}
  • id: 3174049
    {'lmfdb_iso': '62400.fs', 'p': 67, 'prec': 20, 'unit': 22985126358308474386441849417720614, 'val': 1}
  • id: 3174051
    {'lmfdb_iso': '62400.fs', 'p': 71, 'prec': 20, 'unit': 103866036833203964102186884653601716, 'val': 1}
  • id: 3174059
    {'lmfdb_iso': '62400.fs', 'p': 73, 'prec': 20, 'unit': 140122148176346704193109055557063496, 'val': 1}
  • id: 3174057
    {'lmfdb_iso': '62400.fs', 'p': 83, 'prec': 20, 'unit': 761194884301597300642454196463032103, 'val': 1}
  • id: 3174060
    {'lmfdb_iso': '62400.fs', 'p': 89, 'prec': 20, 'unit': 9755075687990476016443658591652987909, 'val': 1}
  • id: 3174048
    {'lmfdb_iso': '62400.fs', 'p': 97, 'prec': 20, 'unit': 23773316240777708791699086044562560524, 'val': 1}