Elliptic curve data - 38720.u1

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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': '38720n', 'Clabel': '38720n1', 'Cnumber': 1, 'abc_quality': 0.9706848607140809, 'absD': 217578887507345408000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1320, 'ainvs': [0, -1, 0, -4704641, -3989728895], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 38720, 'degree': 1216512, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6970479001109775607939548057', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 3], 'jinv': [-1693700041, 32000], 'lmfdb_iso': '38720.u', 'lmfdb_label': '38720.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -608, 5806], 'min_quad_twist_disc': -88, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '20.2.0.a.1', '60.8.0.a.1', '264.8.0.?', '1320.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 605], [3, 2, 7744], [5, 6, 7744], [11, 32, 320]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34091893139424919005017969146', 'prec': 107}, 'szpiro_ratio': 5.465477103421802, '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, -1, 0, -1, 0, 1, 0, -2, 0, 0, 0, -4, 0, 1, 0, 0, 0, -4, 0], 'aplist': [0, -1, -1, 1, 0, -4, 0, -4, 0, -6, -10, -8, 3, -1, 9, 12, -6, 11, 1, -6, -8, -14, -12, -15, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 38720, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '38720.u', 'trace_hash': 255717021897112193}
• 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': '0.0045433266170188178395773959339', 'prec': 110}, 'conductor': 38720, 'gens': [], 'heights': [], 'lmfdb_label': '38720.u1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.051197810861658071086781692719', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '0.10239562172331614217356338543757464300', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': [4, 0], '11': 'a', '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '38720.u1'}
• ec_torsion_growth •

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

  
  
  • id: 1908699
    {'degree': 2, 'field': [22, 0, 1], 'lmfdb_label': '38720.u1', 'torsion': [3]}
  • id: 1908700
    {'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '38720.u1', 'torsion': [2]}
  • id: 1908702
    {'degree': 6, 'field': [-264, 0, 220, 0, -22, 0, 1], 'lmfdb_label': '38720.u1', 'torsion': [3]}
  • id: 1908701
    {'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '38720.u1', 'torsion': [2, 2]}
  • id: 1908703
    {'degree': 6, 'field': [352, 0, 176, 0, 22, 0, 1], 'lmfdb_label': '38720.u1', 'torsion': [6]}
  • id: 1908704
    {'degree': 12, 'field': [79699, 85188, 29846, -7032, 2173, 7116, 1380, -756, 87, 136, -10, -4, 1], 'lmfdb_label': '38720.u1', 'torsion': [4]}
  • id: 1908705
    {'degree': 12, 'field': [124609, -2118, -5259, 14030, -5190, -2238, 845, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '38720.u1', 'torsion': [3, 3]}
  • id: 1908706
    {'degree': 12, 'field': [1411344, 0, -627264, 0, 148104, 0, -15488, 0, 1001, 0, -44, 0, 1], 'lmfdb_label': '38720.u1', 'torsion': [2, 6]}
  • id: 1908708
    {'degree': 18, 'field': [-512324, -2563704, -4274204, -9418800, -9624384, -10148600, -7412214, -3257320, -344476, 207924, 77352, -8272, -1976, 1100, 550, -28, 0, 0, 1], 'lmfdb_label': '38720.u1', 'torsion': [6]}
  • id: 1908707
    {'degree': 18, 'field': [52175200, 0, 60693600, 0, 29015800, 0, 9361044, 0, 2307712, 0, 336380, 0, 26290, 0, 1320, 0, 22, 0, 1], 'lmfdb_label': '38720.u1', '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: 914000
    {'conductor': 38720, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '38720.u1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 914001
    {'conductor': 38720, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '38720.u1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 914002
    {'conductor': 38720, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '38720.u1', 'prime': 11, 'reduction_type': 0, '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: 1922428
    {'adelic_gens': [[659, 0, 0, 1319], [4, 3, 9, 7], [65, 594, 66, 593], [1315, 6, 1314, 7], [991, 726, 33, 859], [923, 594, 429, 461], [1, 6, 0, 1], [3, 4, 8, 11], [606, 121, 385, 771], [119, 0, 0, 1319], [1, 0, 6, 1]], 'adelic_image': '1320.16.0.?', 'conductor': 38720, 'lmfdb_label': '38720.u1', 'prime': 0}
  • id: 170418
    {'conductor': 38720, 'elladic_image': '3.4.0.1', 'lmfdb_label': '38720.u1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 38720.u does not appear in ec_padic