Elliptic curve data - 546.d2

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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': '546d', 'Clabel': '546d2', 'Cnumber': 2, 'abc_quality': 1.0096661844245909, 'absD': 10417365504, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 6552, 'ainvs': [1, 0, 1, -122, -4948], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 546, 'degree': 648, 'elladic_images': ['3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.60215319124588882820324886666', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [-198461344537, 10417365504], 'lmfdb_iso': '546.d', 'lmfdb_label': '546.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -122, -4948], 'min_quad_twist_disc': 1, 'modell_images': ['3Cs.1.1'], 'modm_images': ['3.24.0-3.a.1.1', '819.72.0.?', '2184.48.1.?', '6552.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60215319124588882820324886666', 'prec': 103}, 'szpiro_ratio': 4.8444027216284775, 'torsion': 3, 'torsion_primes': [3], 'torsion_structure': [3]}
• 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, 3, -1, 1, -1, 1, -3, 3, 1, 1, -1, 3, 1, -3, -1, -7, 3], 'aplist': [-1, 1, 3, 1, 3, 1, -3, -7, 9, -9, -4, -7, 12, -1, 0, -6, 12, -1, 14, 12, -7, -10, -6, -6, -10], 'class_deg': 9, 'class_size': 3, 'conductor': 546, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '546.d', 'trace_hash': 2066915050180543055}
• 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': '0.29989994323955062918117317290', 'prec': 103}, 'conductor': 546, 'gens': [], 'heights': [], 'lmfdb_label': '546.d2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.56365221639777019227436627275', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6909566491933105768230988182505772898', 'prec': 130}, 'tamagawa_product': 27, 'torsion_generators': [[30, 121, 1]], 'xcoord_integral_points': [30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [9, 1], '7': [1, 0], '13': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '546.d2'}
• ec_torsion_growth •

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

  
  
  • id: 24569
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '546.d2', 'torsion': [3, 3]}
  • id: 24570
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '546.d2', 'torsion': [6]}
  • id: 24572
    {'degree': 6, 'field': [108, -18, 1, 0, -1, 0, 1], 'lmfdb_label': '546.d2', 'torsion': [3, 6]}
  • id: 24571
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '546.d2', 'torsion': [2, 6]}
  • id: 24573
    {'degree': 9, 'field': [-19683, 0, 0, -5184, 0, 0, -81, 0, 0, 1], 'lmfdb_label': '546.d2', 'torsion': [9]}
  • id: 24575
    {'degree': 12, 'field': [3136, -9408, 18312, -21448, 18057, -8394, 1925, 846, -396, 58, 21, -6, 1], 'lmfdb_label': '546.d2', 'torsion': [6, 6]}
  • id: 24574
    {'degree': 12, 'field': [10528, -99120, 287406, -209594, -137379, -62880, 1020, 2946, 1167, -68, -24, -6, 1], 'lmfdb_label': '546.d2', 'torsion': [12]}
  • id: 24576
    {'degree': 18, 'field': [729, 0, 0, -2268, 0, 0, 1953, 0, 0, 108, 0, 0, -3, 0, 0, -9, 0, 0, 1], 'lmfdb_label': '546.d2', 'torsion': [3, 9]}
  • id: 24578
    {'degree': 18, 'field': [19683, 0, 0, 0, 0, 0, 32490, 0, 0, 0, 0, 0, 627, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '546.d2', 'torsion': [3, 9]}
  • id: 24577
    {'degree': 18, 'field': [51478848, 0, 0, -4723200, 0, 0, 282871, 0, 0, -3870, 0, 0, 3088, 0, 0, -90, 0, 0, 1], 'lmfdb_label': '546.d2', 'torsion': [3, 9]}
• 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: 6169
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '546.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 6170
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '546.d2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6171
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '546.d2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6172
    {'conductor': 546, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '546.d2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1668261
    {'adelic_gens': [[10, 9, 3267, 6544], [1, 18, 0, 1], [3278, 4923, 1593, 5986], [2812, 9, 1863, 6532], [1, 9, 9, 82], [1, 6, 6, 37], [6064, 9, 3663, 76], [1, 0, 18, 1], [1, 12, 0, 1], [3286, 9, 4905, 6544], [6535, 18, 6534, 19]], 'adelic_image': '6552.144.3.?', 'conductor': 546, 'lmfdb_label': '546.d2', 'prime': 0}
  • id: 2442
    {'conductor': 546, 'elladic_image': '3.24.0.1', 'lmfdb_label': '546.d2', 'modell_image': '3Cs.1.1', 'prime': 3}
• lmfdb_iso 546.d does not appear in ec_padic