Elliptic curve data - 463680.m2

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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': '463680m', 'Clabel': '463680m2', 'Cnumber': 2, 'abc_quality': 0.8828659998973719, 'absD': 5642437493145600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [0, 0, 0, -149628, -21982448], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 463680, 'degree': 2752512, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8243093437097422593307662232', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [31018076123344, 472410225], 'lmfdb_iso': '463680.m', 'lmfdb_label': '463680.m2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -4156, 103156], 'min_quad_twist_disc': -24, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '84.12.0.?', '168.24.0.?', '1380.12.0.?', '2760.24.0.?', '3220.12.0.?', '6440.24.0.?', '9660.24.0.?', '19320.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3807545842932688356828076665', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.46633148872241788597970612970', 'prec': 103}, 'szpiro_ratio': 3.6300687697681235, '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, 0, 0, -1, 0, -1, 0, 0, 0, -4, 0, -2, 0, 0, 0, 2, 0, 4, 0], 'aplist': [0, 0, -1, -1, -4, -2, 2, 4, 1, 6, 0, 10, 2, -4, -8, 6, 0, -10, -4, 0, 14, -4, -8, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 463680, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '463680.m', 'trace_hash': 1896150974114015030}
• 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': '0.026027055459194654611109742893', 'prec': 107}, 'conductor': 463680, 'gens': [[566, 8640, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3807545842932688356828076665', 'prec': 100}], 'lmfdb_label': '463680.m2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24296688278538440512581696410', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5712912224650690452413575032274654281', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-244, 0, 1], [446, 0, 1]], 'xcoord_integral_points': [-244, -202, 446, 566, 4172]}
• lmfdb_label 463680.m2 does not appear in ec_iwasawa
• lmfdb_label 463680.m2 does not appear in ec_torsion_growth
• 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: 11433510
    {'conductor': 463680, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '463680.m2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11433511
    {'conductor': 463680, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '463680.m2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11433512
    {'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.m2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11433513
    {'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.m2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11433514
    {'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.m2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 4513541
    {'adelic_gens': [[1, 4, 0, 1], [6721, 4, 3782, 9], [19317, 4, 19316, 5], [4831, 2, 0, 1], [3221, 2, 0, 1], [9663, 19316, 9664, 19315], [1, 0, 4, 1], [9659, 0, 0, 19319], [13523, 19316, 17386, 19311], [11037, 19318, 15182, 9661]], 'adelic_image': '19320.48.0.?', 'conductor': 463680, 'lmfdb_label': '463680.m2', 'prime': 0}
  • id: 1544785
    {'conductor': 463680, 'elladic_image': '8.12.0.1', 'lmfdb_label': '463680.m2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 463680.m does not appear in ec_padic