Elliptic curve data - 62400.t1

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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': '62400fg', 'Clabel': '62400fg4', 'Cnumber': 4, 'abc_quality': 0.9373389475551026, 'absD': 2193484800000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -165633, 25903137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 589824, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7966127717090503356906164354', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 4], 'jinv': [490757540836, 2142075], 'lmfdb_iso': '62400.t', 'lmfdb_label': '62400.t1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1656, -26400], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0.h.1', '40.12.0-4.c.1.2', '104.12.0.?', '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': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2251100369959001742567208697', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 20800], [5, 18, 2496], [13, 14, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.067697574745406402500593940177', 'prec': 107}, 'szpiro_ratio': 4.317074046064069, '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, 4, 0, 1, 0, 0, 0, 6, 0, 0, 0], 'aplist': [0, -1, 0, -4, 4, 1, 6, 0, -8, -6, 4, -2, -10, 4, -8, -2, 12, 2, 16, 8, 6, 16, -4, -2, -2], '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.t', 'trace_hash': 1224182291069140856}
• 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': '0.027509454224277930566446530512', 'prec': 107}, 'conductor': 62400, 'gens': [[221, 208, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2251100369959001742567208697', 'prec': 100}], 'lmfdb_label': '62400.t1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.46485263112738986374620640534', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5559649929449450632289022186027391112', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[247, 0, 1]], 'xcoord_integral_points': [-403, 221, 247, 1768]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [3, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.t1'}
• ec_torsion_growth •

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

  
  
  • id: 2988062
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [4]}
  • id: 2988061
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [4]}
  • id: 2988060
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [2, 2]}
  • id: 2988063
    {'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [2, 4]}
  • id: 2988067
    {'degree': 8, 'field': [-30000, 0, -320, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [6]}
  • id: 2988064
    {'degree': 8, 'field': [4, 0, 88, 0, 60, 0, 16, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [2, 4]}
  • id: 2988065
    {'degree': 8, 'field': [625, 0, -2000, 0, 575, 0, -50, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [8]}
  • id: 2988066
    {'degree': 8, 'field': [13924, 0, 964, 0, 237, 0, 28, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [8]}
  • id: 2988068
    {'degree': 16, 'field': [16, 0, -352, 0, 7504, 0, -5152, 0, 2188, 0, -784, 0, 196, 0, -16, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [4, 4]}
  • id: 2988070
    {'degree': 16, 'field': [12961, -77376, -58282, 539580, 601598, -391524, -554814, 100416, 185027, -11688, -28458, 624, 2144, -12, -76, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [2, 8]}
  • id: 2988072
    {'degree': 16, 'field': [105625, 0, -84500, 0, 16900, 0, -67500, 0, 11550, 0, -1260, 0, 100, 0, -20, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [12]}
  • id: 2988073
    {'degree': 16, 'field': [810000, 0, -19416000, 0, 8634400, 0, -2298000, 0, 293400, 0, -24760, 0, 1500, 0, -60, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [12]}
  • id: 2988069
    {'degree': 16, 'field': [1560001, 0, 158476, 0, 1037326, 0, -16064, 0, 16819, 0, -2336, 0, 238, 0, -20, 0, 1], 'lmfdb_label': '62400.t1', 'torsion': [2, 8]}
  • id: 2988071
    {'degree': 16, 'field': [3515625, 0, 300000, 0, 3939100, 0, 24000, 0, -341250, 0, -2080, 0, -2100, 0, 0, 0, 1], 'lmfdb_label': '62400.t1', '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: 1505305
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '62400.t1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1505306
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.t1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1505307
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '62400.t1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1505308
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62400.t1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2077772
    {'adelic_gens': [[269, 270, 1430, 29], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [504, 655, 1415, 744], [623, 0, 0, 1559], [7, 6, 1554, 1555], [1553, 8, 1552, 9], [1081, 320, 580, 1281], [736, 315, 1045, 626]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.t1', 'prime': 0}
  • id: 262800
    {'conductor': 62400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62400.t1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3174963
    {'lmfdb_iso': '62400.t', 'p': 7, 'prec': 20, 'unit': 438494300092012, 'val': 2}
  • id: 3174961
    {'lmfdb_iso': '62400.t', 'p': 11, 'prec': 20, 'unit': 54368566436691396092, 'val': 1}
  • id: 3174968
    {'lmfdb_iso': '62400.t', 'p': 17, 'prec': 20, 'unit': 235793496907523627685730, 'val': 1}
  • id: 3174973
    {'lmfdb_iso': '62400.t', 'p': 23, 'prec': 20, 'unit': 33318343789151225749331001, 'val': 1}
  • id: 3174966
    {'lmfdb_iso': '62400.t', 'p': 29, 'prec': 20, 'unit': 4874700118815385242886075740, 'val': 1}
  • id: 3174978
    {'lmfdb_iso': '62400.t', 'p': 31, 'prec': 20, 'unit': 8226129318324725344815418440, 'val': 1}
  • id: 3174962
    {'lmfdb_iso': '62400.t', 'p': 37, 'prec': 20, 'unit': 394605485899197640337120080559, 'val': 1}
  • id: 3174964
    {'lmfdb_iso': '62400.t', 'p': 41, 'prec': 20, 'unit': 2852955284696905011505898792426, 'val': 1}
  • id: 3174965
    {'lmfdb_iso': '62400.t', 'p': 43, 'prec': 20, 'unit': 7595762185323767701778989843216, 'val': 1}
  • id: 3174976
    {'lmfdb_iso': '62400.t', 'p': 47, 'prec': 20, 'unit': 52228762777561689828950078263071, 'val': 1}
  • id: 3174970
    {'lmfdb_iso': '62400.t', 'p': 53, 'prec': 20, 'unit': 430882129039371977217186186712140, 'val': 1}
  • id: 3174971
    {'lmfdb_iso': '62400.t', 'p': 59, 'prec': 20, 'unit': 641287421764134207429559321638284, 'val': 1}
  • id: 3174977
    {'lmfdb_iso': '62400.t', 'p': 61, 'prec': 20, 'unit': 8055423529350606388450588531749607, 'val': 1}
  • id: 3174960
    {'lmfdb_iso': '62400.t', 'p': 67, 'prec': 20, 'unit': 28879117741895216360009014158655348, 'val': 1}
  • id: 3174975
    {'lmfdb_iso': '62400.t', 'p': 71, 'prec': 20, 'unit': 554248810333748028657014714320117, 'val': 1}
  • id: 3174972
    {'lmfdb_iso': '62400.t', 'p': 73, 'prec': 20, 'unit': 165007034345208290656951130365272989, 'val': 1}
  • id: 3174967
    {'lmfdb_iso': '62400.t', 'p': 79, 'prec': 20, 'unit': 272813401972039339915071667908977012, 'val': 1}
  • id: 3174969
    {'lmfdb_iso': '62400.t', 'p': 83, 'prec': 20, 'unit': 723259227755615517250421874948515524, 'val': 1}
  • id: 3174974
    {'lmfdb_iso': '62400.t', 'p': 89, 'prec': 20, 'unit': 9791819186588098560992610793786288688, 'val': 1}
  • id: 3174959
    {'lmfdb_iso': '62400.t', 'p': 97, 'prec': 20, 'unit': 12852049515644467072324743575378075528, 'val': 1}