Elliptic curve data - 394944.q2

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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': '394944q', 'Clabel': '394944q1', 'Cnumber': 1, 'abc_quality': 1.025647102928615, 'absD': 548773514091253727232, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4488, 'ainvs': [0, -1, 0, -2048449, -55099295], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 394944, 'degree': 11059200, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6690404762247176917447312109', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [2046931732873, 1181672448], 'lmfdb_iso': '394944.q', 'lmfdb_label': '394944.q2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -264, -192], 'min_quad_twist_disc': 88, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '66.6.0.a.1', '136.6.0.?', '4488.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 363], [3, 4, 131648], [11, 72, 3264], [17, 18, 23232]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.43037206898561445558791123973', 'prec': 103}, 'szpiro_ratio': 4.284436202410304, '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, 0, -1, 0, -2, 0, -2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0], 'aplist': [0, -1, -2, -2, 0, 0, 1, 2, 6, 2, 0, -2, -2, 10, -4, -4, 6, -10, -12, -6, 4, -2, 12, -2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 394944, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '394944.q', 'trace_hash': 82911365187221855}
• 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': '0.0048050830508684204528828642839', 'prec': 110}, 'conductor': 394944, 'gens': [], 'heights': [], 'lmfdb_label': '394944.q2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13773571873408985561211140204', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.55094287493635942244844560815621242548', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[1445, 0, 1]], 'xcoord_integral_points': [1445]}
• lmfdb_label 394944.q2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16302646
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '394944.q2', 'torsion': [2, 2]}
  • id: 16302647
    {'degree': 4, 'field': [-30, -68, -30, 0, 1], 'lmfdb_label': '394944.q2', 'torsion': [4]}
  • id: 16302650
    {'degree': 8, 'field': [-175692, 0, -13310, 0, 1452, 0, 0, 0, 1], 'lmfdb_label': '394944.q2', 'torsion': [6]}
  • id: 16302649
    {'degree': 8, 'field': [2896, -4264, 2645, -1594, 667, 124, 23, -2, 1], 'lmfdb_label': '394944.q2', 'torsion': [2, 4]}
  • id: 16302648
    {'degree': 8, 'field': [4114, 8228, -9614, -1760, 1739, 136, -86, -4, 1], 'lmfdb_label': '394944.q2', 'torsion': [2, 4]}
  • id: 16302651
    {'degree': 16, 'field': [-74183100, 933189648, -123293224, -1621640816, 811897520, 8699544, -19762156, 14846688, -4148747, 207512, 40672, -42680, 5354, 784, -92, -8, 1], 'lmfdb_label': '394944.q2', 'torsion': [8]}
  • id: 16302652
    {'degree': 16, 'field': [36864, 0, 53760, 0, -88064, 0, -13440, 0, -17484, 0, -2590, 0, 492, 0, 0, 0, 1], 'lmfdb_label': '394944.q2', 'torsion': [2, 6]}
• 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: 9767714
    {'conductor': 394944, 'conductor_valuation': 6, 'discriminant_valuation': 28, 'j_denominator_valuation': 10, 'kodaira_symbol': -22, 'lmfdb_label': '394944.q2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9767715
    {'conductor': 394944, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '394944.q2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9767716
    {'conductor': 394944, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '394944.q2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9767717
    {'conductor': 394944, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '394944.q2', 'prime': 17, '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: 4114809
    {'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1057, 4, 2114, 9], [2245, 4, 2, 9], [3929, 562, 560, 3927], [818, 1, 4079, 0], [4485, 4, 4484, 5]], 'adelic_image': '4488.12.0.?', 'conductor': 394944, 'lmfdb_label': '394944.q2', 'prime': 0}
  • id: 1344895
    {'conductor': 394944, 'elladic_image': '2.3.0.1', 'lmfdb_label': '394944.q2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 394944.q does not appear in ec_padic