Elliptic curve data - 346560.fl3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '346560fl', 'Clabel': '346560fl6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 110995158859776000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -7705665, -8214911775], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 346560, 'degree': 15925248, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7295326553595172197109881590', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 141, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '346560.fl', 'lmfdb_label': '346560.fl3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': 152, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '24.96.1.cp.2', '40.12.0.a.1', '60.96.1.h.3', '76.12.0.?', '120.192.5.?', '228.96.0.?', '456.192.1.?', '760.24.0.?', '1140.192.1.?', '2280.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626087', 'prec': 103}, 'szpiro_ratio': 4.6399245824324735, '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, 1, 0, 4, 0, 1, 0, 0, 0, 2, 0, -1, 0, 6, 0, 0, 0], 'aplist': [0, -1, 1, 4, 0, 2, 6, 0, 0, -6, 8, 2, 6, -4, 0, -6, 0, 10, 4, 0, 2, 8, 12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 346560, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '346560.fl', 'trace_hash': 1785954489471574323}
• 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': '0.0042575333564016659988941887790', 'prec': 110}, 'conductor': 346560, 'gens': [], 'heights': [], 'lmfdb_label': '346560.fl3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.090626301695156866395061752293', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3500624813675295869629641100494144858', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-1545, 0, 1], [3205, 0, 1]], 'xcoord_integral_points': [-1659, -1545, 3205]}
• lmfdb_label 346560.fl3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14473020
    {'degree': 2, 'field': [114, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 6]}
  • id: 14473023
    {'degree': 4, 'field': [81, 0, -58, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 4]}
  • id: 14473022
    {'degree': 4, 'field': [115, 2, -1, -2, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 12]}
  • id: 14473021
    {'degree': 4, 'field': [5776, 0, 38, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 4]}
  • id: 14473024
    {'degree': 6, 'field': [-54863, -684, 4332, -6, -114, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 6]}
  • id: 14473026
    {'degree': 8, 'field': [104976, 0, -6480, 0, 1033, 0, -20, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 12]}
  • id: 14473025
    {'degree': 8, 'field': [2085136, 0, 0, 0, -2527, 0, 0, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 12]}
  • id: 14473027
    {'degree': 12, 'field': [3011265625, 0, -475281048, 0, 31280460, 0, -1097434, 0, 21660, 0, -228, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [6, 6]}
  • id: 14473028
    {'degree': 16, 'field': [277785, -720720, 1367406, -1512588, 1353688, -862176, 551586, -272692, 131045, -50128, 18830, -5572, 1596, -336, 68, -8, 1], 'lmfdb_label': '346560.fl3', 'torsion': [4, 12]}
  • id: 14473031
    {'degree': 16, 'field': [16008001, 0, -220841200, 0, 211779576, 0, -53196320, 0, 5841586, 0, -332720, 0, 10296, 0, -160, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 8]}
  • id: 14473030
    {'degree': 16, 'field': [33406075, -2923840, 4837692, -4005416, 2492868, -718824, 464152, -207128, 72417, -17416, 7276, -2256, 558, -112, 36, -8, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 24]}
  • id: 14473029
    {'degree': 16, 'field': [23167447840, -17456566160, 7264507250, -2178349920, 678485291, -215773600, 56354878, -12522108, 3000274, -628128, 115756, -17636, 3242, -456, 56, -4, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 8]}
  • id: 14473032
    {'degree': 18, 'field': [10326638148181924, 630158109006120, 948978020237892, -10922612378660, 40981294073790, 104589413340, 1378775639793, -2635205580, 14117676456, 79549400, 337610439, 654900, 2059722, -2220, 31875, -20, 108, 0, 1], 'lmfdb_label': '346560.fl3', 'torsion': [2, 18]}
• 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: 8576520
    {'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '346560.fl3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8576521
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '346560.fl3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8576522
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '346560.fl3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8576523
    {'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '346560.fl3', 'prime': 19, 'reduction_type': 0, '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: 3827974
    {'adelic_gens': [[1823, 228, 2166, 113], [9, 4, 2264, 2273], [2269, 12, 2268, 13], [647, 2166, 2014, 115], [1139, 228, 114, 1367], [1, 0, 12, 1], [1, 12, 0, 1], [359, 0, 0, 2279], [457, 2166, 0, 1]], 'adelic_image': '2280.384.5.?', 'conductor': 346560, 'lmfdb_label': '346560.fl3', 'prime': 0}
  • id: 1200161
    {'conductor': 346560, 'elladic_image': '2.6.0.1', 'lmfdb_label': '346560.fl3', 'modell_image': '2Cs', 'prime': 2}
  • id: 1200162
    {'conductor': 346560, 'elladic_image': '3.4.0.1', 'lmfdb_label': '346560.fl3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 346560.fl does not appear in ec_padic