Elliptic curve data - 366912.cg1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '366912cg', 'Clabel': '366912cg1', 'Cnumber': 1, 'abc_quality': 1.0399500334844043, 'absD': 1305800572254065572478976, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -439866924, 3551257178896], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 366912, 'degree': 132464640, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6446521196918010255577830948', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 58, 'isogeny_degrees': [1], 'jinv': [-90424411632287643672, 12545122758259], 'lmfdb_iso': '366912.cg', 'lmfdb_label': '366912.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -2244219, 1294189934], 'min_quad_twist_disc': 56, 'modell_images': [], 'modm_images': ['2184.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.61621838574349435527145751893', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 1911], [3, 6, 40768], [7, 32, 7488], [11, 2, 28224], [13, 14, 28224]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5306099972971853133847552620', 'prec': 100}, 'szpiro_ratio': 5.566258800457434, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -3, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 0, -7, 0, 1, 0], 'aplist': [0, 0, -3, 0, 3, 1, -7, 1, -9, -3, -10, 3, 10, -1, -8, 14, -6, -3, 8, 10, 1, 10, -10, -10, -18], 'class_deg': 1, 'class_size': 1, 'conductor': 366912, 'isogeny_matrix': [[1]], 'lmfdb_iso': '366912.cg', 'trace_hash': 1844012474264497673}
• 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': '0.00068280295493290587458814592961', 'prec': 113}, 'conductor': 366912, 'gens': [[18368, 1291836, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.61621838574349435527145751893', 'prec': 103}], 'lmfdb_label': '366912.cg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.082849476758558789697009426111', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4926966328509980547208692244634791183', 'prec': 130}, 'tamagawa_product': 88, 'torsion_generators': [], 'xcoord_integral_points': [18368]}
• lmfdb_label 366912.cg1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15240574
    {'degree': 3, 'field': [-9, 13, -1, 1], 'lmfdb_label': '366912.cg1', 'torsion': [2]}
  • id: 15240575
    {'degree': 6, 'field': [2328, -2136, 574, -20, -3, -2, 1], 'lmfdb_label': '366912.cg1', 'torsion': [2, 2]}
  • id: 15240576
    {'degree': 8, 'field': [-17787, 0, -3276, 0, 630, 0, -28, 0, 1], 'lmfdb_label': '366912.cg1', 'torsion': [3]}
  • id: 15240577
    {'degree': 12, 'field': [37542, 30768, -68949, -23010, 44737, -23176, 14948, -3496, 706, -104, -13, -2, 1], 'lmfdb_label': '366912.cg1', 'torsion': [4]}
• 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: 9076280
    {'conductor': 366912, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '366912.cg1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9076281
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '366912.cg1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9076282
    {'conductor': 366912, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '366912.cg1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9076283
    {'conductor': 366912, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '366912.cg1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 11}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1457, 2, 1457, 3], [2017, 2, 2017, 3], [1, 0, 2, 1], [1093, 2, 1093, 3], [1, 2, 0, 1], [2183, 2, 2182, 3], [1249, 2, 1249, 3], [1639, 2, 1639, 3], [1, 1, 2183, 0]], 'adelic_image': '2184.2.0.?', 'conductor': 366912, 'lmfdb_label': '366912.cg1', 'prime': 0}
• lmfdb_iso 366912.cg does not appear in ec_padic