Elliptic curve data - 30492.t2

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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': '30492n', 'Clabel': '30492n3', 'Cnumber': 3, 'abc_quality': 1.0728576630678985, 'absD': 7293115924074288, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 924, 'ainvs': [0, 0, 0, -123420, -17187203], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 30492, 'degree': 155520, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8164891529045933666097472852', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-10061824000, 352947], 'lmfdb_iso': '30492.t', 'lmfdb_label': '30492.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -113, -516], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.24.0.b.1', '28.6.0.b.1', '33.8.0-3.a.1.2', '66.48.0-6.b.1.2', '84.48.1.?', '924.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1089], [3, 8, 484], [7, 8, 4356], [11, 62, 252]], 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.16281368801529518759125782940', 'prec': 107}, 'szpiro_ratio': 4.536707063730596, '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, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 0, -1, 0, -2, 0, 4, 6, 6, 8, 2, 12, 4, -12, 6, 0, 10, 8, -6, 10, 4, -12, -12, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 30492, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '30492.t', 'trace_hash': 423641308309779778}
• 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': '0.026437328589493798758035879559', 'prec': 107}, 'conductor': 30492, 'gens': [], 'heights': [], 'lmfdb_label': '30492.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12709508938773602449245430994', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2877116089792484408641775789442709529', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[407, 0, 1]], 'xcoord_integral_points': [407]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '7': [0, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '30492.t2'}
• ec_torsion_growth •

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

  
  
  • id: 1523767
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '30492.t2', 'torsion': [2, 2]}
  • id: 1523768
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '30492.t2', 'torsion': [6]}
  • id: 1523769
    {'degree': 4, 'field': [-83, 58, 20, -2, 1], 'lmfdb_label': '30492.t2', 'torsion': [4]}
  • id: 1523770
    {'degree': 4, 'field': [9, -3, -2, -1, 1], 'lmfdb_label': '30492.t2', 'torsion': [2, 6]}
  • id: 1523771
    {'degree': 6, 'field': [-326, -498, 186, 35, -21, -3, 1], 'lmfdb_label': '30492.t2', 'torsion': [6]}
  • id: 1523773
    {'degree': 8, 'field': [36, 576, 9336, -1944, 214, 152, -16, -2, 1], 'lmfdb_label': '30492.t2', 'torsion': [2, 4]}
  • id: 1523774
    {'degree': 8, 'field': [597, 546, 434, 154, 43, -14, 0, 0, 1], 'lmfdb_label': '30492.t2', 'torsion': [12]}
  • id: 1523772
    {'degree': 8, 'field': [1596, -1128, 1656, -1584, 514, -140, 48, -2, 1], 'lmfdb_label': '30492.t2', 'torsion': [2, 4]}
  • id: 1523775
    {'degree': 12, 'field': [12321, -12987, 11691, -552, -1827, 2349, -296, -93, 105, -22, -3, -3, 1], 'lmfdb_label': '30492.t2', 'torsion': [6, 6]}
  • id: 1523777
    {'degree': 16, 'field': [2781, -17442, 42138, -44640, 9345, 19014, -10350, -3282, 2644, -48, -520, 306, 189, -12, -16, 0, 1], 'lmfdb_label': '30492.t2', 'torsion': [2, 12]}
  • id: 1523778
    {'degree': 16, 'field': [356409, -325962, 39018, -53088, 78601, -11522, 12698, -18774, 3408, 56, 1064, -154, -43, -28, 0, 0, 1], 'lmfdb_label': '30492.t2', 'torsion': [2, 12]}
  • id: 1523776
    {'degree': 16, 'field': [36505764, 0, -106283616, 0, 42345592, 0, -4442736, 0, -455400, 0, 29648, 0, 2172, 0, 72, 0, 1], 'lmfdb_label': '30492.t2', 'torsion': [8]}
  • id: 1523779
    {'degree': 18, 'field': [28823859, -724626, 22429863, 2647335, 5807493, 283779, -107481, -97173, -118695, 27904, -11142, 10539, 1067, -1893, 237, 14, 21, -9, 1], 'lmfdb_label': '30492.t2', 'torsion': [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: 710876
    {'conductor': 30492, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '30492.t2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 710877
    {'conductor': 30492, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '30492.t2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 710878
    {'conductor': 30492, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '30492.t2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 710879
    {'conductor': 30492, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '30492.t2', 'prime': 11, 'reduction_type': 0, '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: 1867897
    {'adelic_gens': [[251, 0, 0, 923], [375, 682, 770, 485], [802, 165, 671, 428], [11, 2, 874, 915], [913, 12, 912, 13], [1, 0, 12, 1], [1, 6, 6, 37], [1, 12, 0, 1], [661, 264, 858, 661]], 'adelic_image': '924.96.1.?', 'conductor': 30492, 'lmfdb_label': '30492.t2', 'prime': 0}
  • id: 137030
    {'conductor': 30492, 'elladic_image': '2.3.0.1', 'lmfdb_label': '30492.t2', 'modell_image': '2B', 'prime': 2}
  • id: 137031
    {'conductor': 30492, 'elladic_image': '3.4.0.1', 'lmfdb_label': '30492.t2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 30492.t does not appear in ec_padic