Elliptic curve data - 436800.to2

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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': '436800to', 'Clabel': '436800to2', 'Cnumber': 2, 'abc_quality': 1.0531819645075955, 'absD': 36502517411942400000000000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3640, 'ainvs': [0, 1, 0, -223829861633, 39709017594304863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 436800, 'degree': 3963617280, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '5.4091660324738127474126279505', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 508, 'isogeny_degrees': [1, 2], 'jinv': [302773487204995438715379645049, 8911747415025000000000000], 'lmfdb_iso': '436800.to', 'lmfdb_label': '436800.to2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -139893664, 620442907886], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '140.12.0.?', '260.12.0.?', '280.24.0.?', '364.12.0.?', '520.24.0.?', '728.24.0.?', '1820.24.0.?', '3640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.098096742843122100542469397', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 145600], [5, 18, 17472], [7, 8, 62400], [13, 14, 33600]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.5647263054168445959864001017', 'prec': 100}, 'szpiro_ratio': 6.931120363545226, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 1, 0, 1, 0, 4, 0, -1, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 1, 0, 1, 4, -1, 2, -8, 4, 2, 4, 2, 6, -8, -8, 6, 0, -6, 4, 8, -6, -8, 12, -2, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 436800, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '436800.to', 'trace_hash': 505303640930124470}
• 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': '0.000020028945314846945151837724555', 'prec': 117}, 'conductor': 436800, 'gens': [[13173349, 534137194488996, 139]], 'heights': [{'__RealLiteral__': 0, 'data': '17.098096742843122100542469397', 'prec': 100}], 'lmfdb_label': '436800.to2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.011521694248931958617581484081', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '12.607938746220662635258649544069656083', 'prec': 130}, 'tamagawa_product': 1024, 'torsion_generators': [[236523, 0, 1], [308203, 0, 1]], 'xcoord_integral_points': [-544727, 236523, 308203]}
• lmfdb_label 436800.to2 does not appear in ec_iwasawa
• lmfdb_label 436800.to2 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: 10790920
    {'conductor': 436800, 'conductor_valuation': 6, 'discriminant_valuation': 30, 'j_denominator_valuation': 12, 'kodaira_symbol': -24, 'lmfdb_label': '436800.to2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10790921
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '436800.to2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 10790922
    {'conductor': 436800, 'conductor_valuation': 2, 'discriminant_valuation': 20, 'j_denominator_valuation': 14, 'kodaira_symbol': -18, 'lmfdb_label': '436800.to2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 10790923
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '436800.to2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10790924
    {'conductor': 436800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '436800.to2', 'prime': 13, '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: 4359054
    {'adelic_gens': [[731, 2, 726, 1819], [561, 4, 1122, 9], [521, 2, 0, 1], [1, 4, 0, 1], [1823, 3636, 1824, 3635], [3637, 4, 3636, 5], [911, 4, 0, 1], [1819, 0, 0, 3639], [1, 0, 4, 1]], 'adelic_image': '3640.48.0.?', 'conductor': 436800, 'lmfdb_label': '436800.to2', 'prime': 0}
  • id: 1467694
    {'conductor': 436800, 'elladic_image': '8.12.0.1', 'lmfdb_label': '436800.to2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 436800.to does not appear in ec_padic