Elliptic curve data - 39600.ff1

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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': '39600ef', 'Clabel': '39600ef1', 'Cnumber': 1, 'abc_quality': 0.9395996129829801, 'absD': 39743447040000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -318675, 69903250], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 39600, 'degree': 483840, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9999811136277978747159495989', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 135, 'isogeny_degrees': [1, 3], 'jinv': [-76711450249, 851840], 'lmfdb_iso': '39600.ff', 'lmfdb_label': '39600.ff1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -89, 316], 'min_quad_twist_disc': 60, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '60.8.0-3.a.1.1', '264.8.0.?', '440.2.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047191167483252467699284807631', 'prec': 110}, 'szpiro_ratio': 4.6897459158566575, '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, 0, 0, 5, 0, 0, 0, 1, 0, -2, 0, 0, 0, 3, 0, 7, 0], 'aplist': [0, 0, 0, 5, 1, -2, 3, 7, 6, 3, 7, 7, -6, 8, -6, -3, -6, -1, 8, 3, -2, 10, 6, -9, 4], 'class_deg': 3, 'class_size': 2, 'conductor': 39600, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '39600.ff', 'trace_hash': 2151614468478832961}
• 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': '0.018316330733746885158716774368', 'prec': 107}, 'conductor': 39600, 'gens': [], 'heights': [], 'lmfdb_label': '39600.ff1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36485748154281323054335264330', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3782897785137587665202317196428800114', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [0, 0], '11': [1, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '39600.ff1'}
• ec_torsion_growth •

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

  
  
  • id: 1952036
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '39600.ff1', 'torsion': [3]}
  • id: 1952037
    {'degree': 3, 'field': [-8, 2, 0, 1], 'lmfdb_label': '39600.ff1', 'torsion': [2]}
  • id: 1952040
    {'degree': 6, 'field': [-11, 88, 49, -16, -11, 0, 1], 'lmfdb_label': '39600.ff1', 'torsion': [6]}
  • id: 1952039
    {'degree': 6, 'field': [9, -12, 15, -10, 5, -2, 1], 'lmfdb_label': '39600.ff1', 'torsion': [3]}
  • id: 1952038
    {'degree': 6, 'field': [16, -32, 118, 16, -7, -2, 1], 'lmfdb_label': '39600.ff1', 'torsion': [2, 2]}
  • id: 1952041
    {'degree': 12, 'field': [-57824, -50880, 7254, 43528, 7865, -8424, 432, 1216, -140, -32, 14, 0, 1], 'lmfdb_label': '39600.ff1', 'torsion': [4]}
  • id: 1952042
    {'degree': 12, 'field': [81, -108, 9, 0, 60, -48, 19, -2, -10, 10, -1, -2, 1], 'lmfdb_label': '39600.ff1', 'torsion': [3, 3]}
  • id: 1952043
    {'degree': 12, 'field': [15625, 0, -11250, 0, 4275, 0, 700, 0, 171, 0, -18, 0, 1], 'lmfdb_label': '39600.ff1', 'torsion': [2, 6]}
  • id: 1952045
    {'degree': 18, 'field': [512000, 0, 0, 0, 0, 0, 24100, 0, 0, 0, 0, 0, 220, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '39600.ff1', 'torsion': [6]}
  • id: 1952044
    {'degree': 18, 'field': [76025389, 520128180, 514458120, 580812826, 657800649, 343986060, -2643982, -75384342, -22471416, 4009998, 2872521, 87636, -163899, -15888, 5367, 566, -111, -6, 1], 'lmfdb_label': '39600.ff1', 'torsion': [9]}
• 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: 936913
    {'conductor': 39600, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '39600.ff1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 936914
    {'conductor': 39600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '39600.ff1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 936915
    {'conductor': 39600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '39600.ff1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 936916
    {'conductor': 39600, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '39600.ff1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1928329
    {'adelic_gens': [[4, 3, 9, 7], [329, 1314, 0, 1319], [1315, 6, 1314, 7], [714, 599, 935, 549], [661, 6, 663, 19], [1201, 6, 963, 19], [263, 1314, 789, 1301], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '1320.16.0.?', 'conductor': 39600, 'lmfdb_label': '39600.ff1', 'prime': 0}
  • id: 174023
    {'conductor': 39600, 'elladic_image': '3.4.0.1', 'lmfdb_label': '39600.ff1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 39600.ff does not appear in ec_padic