Elliptic curve data - 462462.r3

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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': '462462r', 'Clabel': '462462r1', 'Cnumber': 1, 'abc_quality': 0.8417420159340571, 'absD': 910388956228752, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 24024, 'ainvs': [1, 1, 0, -41626, -2946236], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 462462, 'degree': 2949120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6027281845174291145648079152', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 2, 4], 'jinv': [38272753, 4368], 'lmfdb_iso': '462462.r', 'lmfdb_label': '462462.r3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7, -7], 'min_quad_twist_disc': 77, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '44.12.0-4.c.1.2', '56.12.0.bb.1', '312.12.0.?', '546.6.0.?', '616.24.0.?', '1092.12.0.?', '2184.24.0.?', '3432.24.0.?', '12012.24.0.?', '24024.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0217409563814928757460274796', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 231231], [3, 4, 154154], [7, 32, 9438], [11, 62, 3822], [13, 14, 35574]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56917452640941281001884024550', 'prec': 107}, 'szpiro_ratio': 3.3365543333740386, '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, -1, -1, 1, -2, 1, 0, -1, 1, 2, 0, -1, -1, 0, 2, 1, 6, -1, -4, -2], 'aplist': [-1, -1, -2, 0, 0, -1, 6, -4, 0, 6, 8, 10, -6, -4, -4, 10, -4, -6, -8, 0, -10, 8, 4, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 462462, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '462462.r', 'trace_hash': 632341441514500991}
• 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': '0.040540396034090053441351060478', 'prec': 107}, 'conductor': 462462, 'gens': [[-99, 515, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0217409563814928757460274796', 'prec': 100}], 'lmfdb_label': '462462.r3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.33672287771741388429435366430', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0699572421973868301007512281939193406', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-148, 74, 1]], 'xcoord_integral_points': [-148, -99, 336]}
• lmfdb_label 462462.r3 does not appear in ec_iwasawa
• lmfdb_label 462462.r3 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: 11405395
    {'conductor': 462462, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '462462.r3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11405396
    {'conductor': 462462, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462462.r3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11405397
    {'conductor': 462462, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '462462.r3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11405398
    {'conductor': 462462, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '462462.r3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11405399
    {'conductor': 462462, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '462462.r3', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 4506409
    {'adelic_gens': [[9472, 10923, 18205, 19658], [23396, 4367, 21505, 21834], [1, 0, 8, 1], [20483, 13926, 23210, 4643], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 24018, 24019], [7921, 7920, 286, 5743], [19655, 0, 0, 24023], [24017, 8, 24016, 9], [848, 10923, 18821, 19658]], 'adelic_image': '24024.48.0.?', 'conductor': 462462, 'lmfdb_label': '462462.r3', 'prime': 0}
  • id: 1541157
    {'conductor': 462462, 'elladic_image': '4.6.0.1', 'lmfdb_label': '462462.r3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 462462.r does not appear in ec_padic