Elliptic curve data - 327600.a1

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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': '327600a', 'Clabel': '327600a1', 'Cnumber': 1, 'abc_quality': 1.0107365267247574, 'absD': 17801239890587811840000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3640, 'ainvs': [0, 0, 0, -122031675, 477511814250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 327600, 'degree': 97320960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5852252474273824572161248910', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [4307585705106105969, 381542350192640], 'lmfdb_iso': '327600.a', 'lmfdb_label': '327600.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -33898, 2219177], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.c.1', '130.6.0.?', '3640.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.5614214359510602423290931866', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2925], [3, 6, 36400], [5, 18, 1008], [7, 8, 46800], [13, 14, 25200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5380529663163321148008904845', 'prec': 100}, 'szpiro_ratio': 5.313021635167973, '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, -6, 0, -1, 0, 0, 0, -8, 0, 0, 0], 'aplist': [0, 0, 0, -1, -6, -1, -8, 0, 0, -6, 2, -10, 8, -6, -8, -12, -8, 6, 8, 4, -2, 8, 12, 0, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 327600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '327600.a', 'trace_hash': 393199423408090109}
• 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': '0.00076897623334864501306849217949', 'prec': 113}, 'conductor': 327600, 'gens': [[-12305, 340550, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.5614214359510602423290931866', 'prec': 100}], 'lmfdb_label': '327600.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.067335162406690824838747483296', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5345150240680572911245150152537173226', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[4845, 0, 1]], 'xcoord_integral_points': [-12305, 4845]}
• lmfdb_label 327600.a1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13751239
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '327600.a1', 'torsion': [2, 2]}
  • id: 13751240
    {'degree': 4, 'field': [1129, -168, 64, 0, 1], 'lmfdb_label': '327600.a1', 'torsion': [4]}
  • id: 13751243
    {'degree': 8, 'field': [-235200, 0, 34980, 0, 360, 0, -60, 0, 1], 'lmfdb_label': '327600.a1', 'torsion': [6]}
  • id: 13751241
    {'degree': 8, 'field': [60856, -84138, -3005, 9662, 2009, 118, -45, -2, 1], 'lmfdb_label': '327600.a1', 'torsion': [2, 4]}
  • id: 13751242
    {'degree': 8, 'field': [1073296, 0, 209888, 0, 3753, 0, -82, 0, 1], 'lmfdb_label': '327600.a1', 'torsion': [2, 4]}
  • id: 13751245
    {'degree': 16, 'field': [10889339904, 0, -15450830064, 0, 3010665465, 0, 375736518, 0, 15090555, 0, 405048, 0, -4293, 0, -30, 0, 1], 'lmfdb_label': '327600.a1', 'torsion': [2, 6]}
  • id: 13751244
    {'degree': 16, 'field': [747119648356, -830277813920, 652498030928, -274755842368, 88215936732, -15620276224, 2465653344, -208843280, 31529205, -9487304, 255108, -84616, 16898, 392, 100, -8, 1], 'lmfdb_label': '327600.a1', 'torsion': [8]}
• 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: 8109379
    {'conductor': 327600, 'conductor_valuation': 4, 'discriminant_valuation': 34, 'j_denominator_valuation': 22, 'kodaira_symbol': -30, 'lmfdb_label': '327600.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8109380
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '327600.a1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8109381
    {'conductor': 327600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '327600.a1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8109382
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '327600.a1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8109383
    {'conductor': 327600, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '327600.a1', '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: 3715388
    {'adelic_gens': [[521, 4, 1042, 9], [1, 2, 2, 5], [1, 4, 0, 1], [457, 3186, 3184, 455], [1122, 1, 3079, 0], [3637, 4, 3636, 5], [1821, 4, 2, 9], [1, 0, 4, 1], [3, 4, 8, 11], [2914, 1, 2183, 0]], 'adelic_image': '3640.12.0.?', 'conductor': 327600, 'lmfdb_label': '327600.a1', 'prime': 0}
  • id: 1142414
    {'conductor': 327600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '327600.a1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 327600.a does not appear in ec_padic