Elliptic curve data - 450450.hc8

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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': '450450hc', 'Clabel': '450450hc3', 'Cnumber': 3, 'abc_quality': 1.0302632900467197, 'absD': 55242136905174934558593750000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120120, 'ainvs': [1, -1, 1, 949657270, -997343972103], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 450450, 'degree': 445906944, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2045535967179736956885646926', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 184, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [8315279469612171276463151, 4849789796887785750000], 'lmfdb_iso': '450450.hc', 'lmfdb_label': '450450.hc8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 4220699, 295790705], 'min_quad_twist_disc': -15, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.2', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '60.96.0-12.c.2.8', '168.96.1.?', '280.12.0.?', '286.6.0.?', '572.12.0.?', '840.192.1.?', '858.24.0.?', '1716.96.1.?', '4290.48.0.?', '8580.192.1.?', '24024.192.5.?', '40040.24.0.?', '120120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 6, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.8505284961668686626905624075', 'prec': 100}, 'szpiro_ratio': 5.655893747209662, '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, 0, 1, 0, 0, -1, 1, 0, 0, 1, 0, -1, -1, 0, 1, -6, 0, -4, 0], 'aplist': [1, 0, 0, -1, 1, -1, -6, -4, 0, -6, -4, -2, 6, -8, 0, 6, 0, -10, -8, 12, -2, 8, -12, 6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 450450, 'isogeny_matrix': [[1, 3, 4, 2, 12, 6, 12, 4], [3, 1, 12, 6, 4, 2, 4, 12], [4, 12, 1, 2, 3, 6, 12, 4], [2, 6, 2, 1, 6, 3, 6, 2], [12, 4, 3, 6, 1, 2, 4, 12], [6, 2, 6, 3, 2, 1, 2, 6], [12, 4, 12, 6, 4, 2, 1, 3], [4, 12, 4, 2, 12, 6, 3, 1]], 'lmfdb_iso': '450450.hc', 'trace_hash': 1956618895297272334}
• 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': '0.00022282871107243813026707281049', 'prec': 113}, 'conductor': 450450, 'gens': [], 'heights': [], 'lmfdb_label': '450450.hc8', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.020866067034439661786685669794', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0015712176531037657609121501321763744', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[1049, -525, 1]], 'xcoord_integral_points': [1049]}
• lmfdb_label 450450.hc8 does not appear in ec_iwasawa
• lmfdb_label 450450.hc8 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: 11117565
    {'conductor': 450450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '450450.hc8', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11117566
    {'conductor': 450450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '450450.hc8', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11117567
    {'conductor': 450450, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '450450.hc8', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11117568
    {'conductor': 450450, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '450450.hc8', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11117569
    {'conductor': 450450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '450450.hc8', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11117570
    {'conductor': 450450, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '450450.hc8', '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: 4437176
    {'adelic_gens': [[15, 106, 118814, 110891], [110896, 72075, 115965, 71986], [1, 12, 12, 145], [21856, 72075, 12645, 71986], [51481, 96120, 65220, 72361], [120097, 24, 120096, 25], [20019, 64060, 48040, 11979], [1, 24, 0, 1], [114121, 96120, 18510, 25711], [24023, 0, 0, 120119], [37041, 17020, 55100, 107141], [1, 0, 24, 1]], 'adelic_image': '120120.384.5.?', 'conductor': 450450, 'lmfdb_label': '450450.hc8', 'prime': 0}
  • id: 1506608
    {'conductor': 450450, 'elladic_image': '4.6.0.1', 'lmfdb_label': '450450.hc8', 'modell_image': '2B', 'prime': 2}
  • id: 1506609
    {'conductor': 450450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '450450.hc8', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 450450.hc does not appear in ec_padic