Elliptic curve data - 485100.cs2

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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': '485100cs', 'Clabel': '485100cs4', 'Cnumber': 4, 'abc_quality': 0.8940591812835774, 'absD': 2871664395104250900000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [0, 0, 0, -72136575, 249516807750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 485100, 'degree': 71663616, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4440101747250956282513835536', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 70, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4481782160112, 310023175], 'lmfdb_iso': '485100.cs', 'lmfdb_label': '485100.cs2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -6543, 215542], 'min_quad_twist_disc': 105, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0-6.a.1.1', '84.24.0.?', '105.8.0.?', '132.24.0.?', '210.24.0.?', '420.48.0.?', '660.48.0.?', '924.48.0.?', '1540.6.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.3743139526228931873384404503', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.38027880710600964690707217327', 'prec': 103}, 'szpiro_ratio': 5.041870873651985, '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, 0, 0, 0, 0, -1, 0, 2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 0, 0, -1, 2, 6, 4, 0, 6, -8, 10, 6, -8, 0, -6, 6, 4, -14, 0, 2, -10, 6, -18, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 485100, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '485100.cs', 'trace_hash': 302103678593567645}
• 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': '0.0010199309506177521751678500110', 'prec': 110}, 'conductor': 485100, 'gens': [[3355, 212750, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.3743139526228931873384404503', 'prec': 100}], 'lmfdb_label': '485100.cs2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.079067589146069703612875412752', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.198417141151444081029026582549617138', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-9870, 0, 1]], 'xcoord_integral_points': [-9870, 3355]}
• lmfdb_label 485100.cs2 does not appear in ec_iwasawa
• lmfdb_label 485100.cs2 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: 11955253
    {'conductor': 485100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '485100.cs2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 11955254
    {'conductor': 485100, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '485100.cs2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11955255
    {'conductor': 485100, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '485100.cs2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 11955256
    {'conductor': 485100, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '485100.cs2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11955257
    {'conductor': 485100, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '485100.cs2', 'prime': 11, '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: 4636941
    {'adelic_gens': [[1926, 397, 1925, 386], [1528, 4609, 1575, 32], [923, 4608, 918, 4547], [4609, 12, 4608, 13], [2521, 12, 1266, 73], [1, 6, 6, 37], [1, 0, 12, 1], [1, 12, 0, 1], [2630, 4617, 3987, 8], [11, 2, 4570, 4611]], 'adelic_image': '4620.96.1.?', 'conductor': 485100, 'lmfdb_label': '485100.cs2', 'prime': 0}
  • id: 1605769
    {'conductor': 485100, 'elladic_image': '2.3.0.1', 'lmfdb_label': '485100.cs2', 'modell_image': '2B', 'prime': 2}
  • id: 1605770
    {'conductor': 485100, 'elladic_image': '3.4.0.1', 'lmfdb_label': '485100.cs2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 485100.cs does not appear in ec_padic