Elliptic curve data - 39360.dg2

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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': '39360cx', 'Clabel': '39360cx4', 'Cnumber': 4, 'abc_quality': 1.002573457844343, 'absD': 50431058709184512000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4920, 'ainvs': [0, 1, 0, -656385, 398070783], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 41], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 39360, 'degree': 1327104, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4716800797652207994367630201', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'intrinsic_torsion': 1, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-119305480789133569, 192379221760500], 'lmfdb_iso': '39360.dg', 'lmfdb_label': '39360.dg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -10256, -778764], 'min_quad_twist_disc': -8, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '20.6.0.a.1', '24.24.0-6.a.1.14', '60.24.0.o.1', '120.48.0.?', '164.6.0.?', '492.24.0.?', '820.12.0.?', '984.48.0.?', '2460.48.1.?', '4920.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5], [3, 4, 64], [5, 6, 7872], [41, 42, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4319593089253028353109148379', 'prec': 100}, 'szpiro_ratio': 5.02135990086055, '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, 1, 0, 1, 0, 4, 0, 1, 0, -6, 0, 4, 0, 1, 0, 0, 0, 2, 0], 'aplist': [0, 1, 1, 4, -6, 4, 0, 2, 0, 6, 4, -2, -1, -4, 0, -12, 0, -2, 8, 6, 2, 10, -12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 39360, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '39360.dg', 'trace_hash': 850223450436569630}
• 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': '0.0071305981253182780560174363371', 'prec': 110}, 'conductor': 39360, 'gens': [], 'heights': [], 'lmfdb_label': '39360.dg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17957363945997912809901511254', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3097673470394990743763627008643433717', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-1023, 0, 1]], 'xcoord_integral_points': [-1023]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '41': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '39360.dg2'}
• ec_torsion_growth •

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

  
  
  • id: 1941652
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [6]}
  • id: 1941651
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 2]}
  • id: 1941653
    {'degree': 4, 'field': [-20, 0, -24, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [4]}
  • id: 1941654
    {'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 6]}
  • id: 1941655
    {'degree': 6, 'field': [18, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [6]}
  • id: 1941658
    {'degree': 8, 'field': [64, 0, -102, 0, 65, 0, -18, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [12]}
  • id: 1941656
    {'degree': 8, 'field': [521, -608, 582, -80, 36, 20, 18, -4, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 4]}
  • id: 1941657
    {'degree': 8, 'field': [7396, 0, 2364, 0, 341, 0, 24, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 4]}
  • id: 1941660
    {'degree': 12, 'field': [9, 0, -216, 0, 4995, 0, -652, 0, 39, 0, -12, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 6]}
  • id: 1941659
    {'degree': 12, 'field': [361, -114, -249, 670, -180, -234, 177, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '39360.dg2', 'torsion': [3, 6]}
  • id: 1941662
    {'degree': 16, 'field': [164025, 0, 194400, 0, 66510, 0, 4920, 0, 5011, 0, 264, 0, 166, 0, 24, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 12]}
  • id: 1941663
    {'degree': 16, 'field': [25745476, 0, 10567384, 0, 3399224, 0, 574476, 0, 73685, 0, 4776, 0, 254, 0, 4, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [2, 12]}
  • id: 1941661
    {'degree': 16, 'field': [38340864, 0, -46945224, 0, 12778668, 0, -622662, 0, 28333, 0, 18486, 0, 854, 0, 60, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [8]}
  • id: 1941664
    {'degree': 18, 'field': [-1694060697600, 0, 635272761600, 0, -11965164480, 0, -10030998204, 0, 149637456, 0, 28113480, 0, -699810, 0, 12780, 0, -84, 0, 1], 'lmfdb_label': '39360.dg2', 'torsion': [18]}
• 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: 931493
    {'conductor': 39360, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '39360.dg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 931494
    {'conductor': 39360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '39360.dg2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 931495
    {'conductor': 39360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '39360.dg2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 931496
    {'conductor': 39360, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '39360.dg2', 'prime': 41, '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: 1926844
    {'adelic_gens': [[4099, 4908, 4100, 4919], [2459, 0, 0, 4919], [4909, 12, 4908, 13], [1026, 217, 1025, 206], [11, 2, 4870, 4911], [1, 0, 12, 1], [1, 6, 6, 37], [4909, 4918, 2510, 2469], [1, 12, 0, 1], [1441, 12, 1266, 73], [2471, 4908, 2472, 4907], [10, 3, 1941, 2452]], 'adelic_image': '4920.96.1.?', 'conductor': 39360, 'lmfdb_label': '39360.dg2', 'prime': 0}
  • id: 173086
    {'conductor': 39360, 'elladic_image': '2.3.0.1', 'lmfdb_label': '39360.dg2', 'modell_image': '2B', 'prime': 2}
  • id: 173087
    {'conductor': 39360, 'elladic_image': '3.4.0.1', 'lmfdb_label': '39360.dg2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 39360.dg does not appear in ec_padic