Elliptic curve data - 46410.ck2

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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': '46410cn', 'Clabel': '46410cn6', 'Cnumber': 6, 'abc_quality': 1.0085585396011327, 'absD': 1033693082103011001480900, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 371280, 'ainvs': [1, 0, 0, -141270590, -644445412800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 46410, 'degree': 12582912, 'elladic_images': ['8.96.0.60'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4727852731129681220196383768', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 62, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [311802066473807207098058600161, 1033693082103011001480900], 'lmfdb_iso': '46410.ck', 'lmfdb_label': '46410.ck2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -141270590, -644445412800], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.96.0-8.l.1.1', '120.192.1.?', '1904.192.1.?', '4368.192.2.?', '7280.192.2.?', '10608.192.2.?', '17680.192.2.?', '21840.384.5.?', '28560.384.5.?', '53040.384.5.?', '74256.384.5.?', '123760.384.5.?', '371280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4727852731129681220196383768', 'prec': 100}, 'szpiro_ratio': 6.320191547279109, '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, 1, 1, 1, 1, 1, -1, 1, 1, 1, -4, 1, 1, -1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, -1, -4, 1, 1, 4, 8, -2, 0, 6, 10, -4, 0, -10, -4, -2, 4, 8, 10, -16, -12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 46410, 'isogeny_matrix': [[1, 2, 16, 4, 4, 8, 16, 8], [2, 1, 8, 2, 2, 4, 8, 4], [16, 8, 1, 16, 4, 2, 4, 8], [4, 2, 16, 1, 4, 8, 16, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 2, 8, 2, 1, 2, 4], [16, 8, 4, 16, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '46410.ck', 'trace_hash': 531146406689786248}
• 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': '0.00096289080193407507106736381831', 'prec': 113}, 'conductor': 46410, 'gens': [], 'heights': [], 'lmfdb_label': '46410.ck2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.043799906533357730682491098645', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6063880362697895273588606266025786775', 'prec': 130}, 'tamagawa_product': 512, 'torsion_generators': [[-6560, 3280, 1], [13720, -6860, 1]], 'xcoord_integral_points': [-6560, 13720]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 2], '3': [1, 0], '5': [3, 0], '7': [0, 0], '13': [1, 0], '17': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '46410.ck2'}
• ec_torsion_growth •

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

  
  
  • id: 2265796
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 4]}
  • id: 2265798
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 4]}
  • id: 2265797
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 4]}
  • id: 2265800
    {'degree': 4, 'field': [-5070, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 8]}
  • id: 2265801
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 8]}
  • id: 2265802
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 8]}
  • id: 2265799
    {'degree': 4, 'field': [225, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [4, 4]}
  • id: 2265803
    {'degree': 4, 'field': [5070, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 8]}
  • id: 2265807
    {'degree': 8, 'field': [-36504, 127764, -127998, 467, -230, -7, 7, -4, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 6]}
  • id: 2265806
    {'degree': 8, 'field': [256, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [4, 8]}
  • id: 2265804
    {'degree': 8, 'field': [25694761, 0, 60844, 0, -10134, 0, 4, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [4, 8]}
  • id: 2265805
    {'degree': 8, 'field': [25715041, 0, -60836, 0, 10146, 0, 4, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [4, 8]}
  • id: 2265816
    {'degree': 16, 'field': [1332542016, 0, 6978761712, 0, 16280948268, 0, -59938631, 0, -783430, 0, 255529, 0, -467, 0, 2, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 12]}
  • id: 2265814
    {'degree': 16, 'field': [9491150168856, 3859676049168, -3720940977060, -278980461360, 143228155410, -4377720276, 1274339497, 168913240, -55091460, 8311910, -1402243, -137604, 19385, 1610, -210, -8, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 12]}
  • id: 2265815
    {'degree': 16, 'field': [19179379197576, 1578056005008, -1626063598980, 90844902000, -32331624570, -16172626356, 6167591737, -673819880, 178713000, -7119370, 1708037, -159444, 30305, -1750, 270, -8, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 12]}
  • id: 2265808
    {'degree': 16, 'field': [41296367750625, 0, 0, 0, 0, 0, 0, 0, 218491650, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [8, 8]}
  • id: 2265810
    {'degree': 16, 'field': [347656678155900, 486831954117600, 296932601019600, 58981304491200, 14555807829000, 2173623379200, 217285286400, 4528742400, 86771040, 13912080, -4204200, -1004640, -10020, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 16]}
  • id: 2265813
    {'degree': 16, 'field': [348285173760000, 0, -12093235200000, 0, 209952000000, 0, -4043520000, 0, 74188800, 0, -936000, 0, 11250, 0, -150, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 16]}
  • id: 2265809
    {'degree': 16, 'field': [11052636497510400, 0, 0, 0, 0, 0, 0, 0, -9627813390, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 16]}
  • id: 2265812
    {'degree': 16, 'field': [8989320386052055296, 0, 0, 0, 0, 0, 0, 0, -886047903, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 16]}
  • id: 2265811
    {'degree': 16, 'field': [535200926048100000000, 0, 0, 0, 0, 0, 0, 0, -6836789375, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '46410.ck2', 'torsion': [2, 16]}
• 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: 1107468
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.ck2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1107469
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.ck2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1107470
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.ck2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1107471
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.ck2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1107472
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.ck2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1107473
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.ck2', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

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

  
  
  • id: 1973346
    {'adelic_gens': [[218409, 8, 87316, 371241], [9, 8, 371218, 139175], [1, 16, 0, 1], [371265, 16, 371264, 17], [114249, 16, 285668, 121], [9, 16, 247714, 345], [106081, 8, 0, 1], [1, 16, 4, 65], [1, 0, 16, 1], [9, 16, 194, 93165], [74257, 16, 74262, 97]], 'adelic_image': '371280.768.13.?', 'conductor': 46410, 'lmfdb_label': '46410.ck2', 'prime': 0}
  • id: 200880
    {'conductor': 46410, 'elladic_image': '8.96.0.60', 'lmfdb_label': '46410.ck2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 46410.ck does not appear in ec_padic