Elliptic curve data - 22800.dt1

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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': '22800dk', 'Clabel': '22800dk4', 'Cnumber': 4, 'abc_quality': 0.9889050122513766, 'absD': 36480000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, 1, 0, -1216008, -516528012], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 22800, 'degree': 221184, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8623814445840022778182784375', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 97, 'isogeny_degrees': [1, 2, 4], 'jinv': [3107086841064961, 570], 'lmfdb_iso': '22800.dt', 'lmfdb_label': '22800.dt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3040, 64262], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.y.1', '40.12.0-4.c.1.5', '76.12.0.?', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36451530780700678110066664943', 'prec': 103}, 'szpiro_ratio': 5.3462326041185015, '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, 0, 0, 4, 0, 1, 0, 4, 0, 2, 0, 0, 0, 2, 0, 1, 0], 'aplist': [0, 1, 0, 4, 4, 2, 2, 1, -8, 6, -4, 10, -2, 12, 0, -6, 0, -10, -4, 8, -2, 12, -8, 6, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 22800, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '22800.dt', 'trace_hash': 1494389283188697259}
• 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': '0.024118818582012535646610537956', 'prec': 107}, 'conductor': 22800, 'gens': [], 'heights': [], 'lmfdb_label': '22800.dt1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14376905459491156827341917217', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.6006097470371701847494135094051515915', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-637, 0, 1]], 'xcoord_integral_points': [-637]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '5': 'a', '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '22800.dt1'}
• ec_torsion_growth •

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

  
  
  • id: 1156476
    {'degree': 2, 'field': [-570, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [2, 2]}
  • id: 1156477
    {'degree': 2, 'field': [5, -1, 1], 'lmfdb_label': '22800.dt1', 'torsion': [4]}
  • id: 1156478
    {'degree': 2, 'field': [30, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [4]}
  • id: 1156479
    {'degree': 4, 'field': [655, -70, 71, -2, 1], 'lmfdb_label': '22800.dt1', 'torsion': [2, 4]}
  • id: 1156483
    {'degree': 8, 'field': [-2700, 0, -2655, 0, -1485, 0, 75, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [6]}
  • id: 1156482
    {'degree': 8, 'field': [29241, 0, -2052, 0, 444, 0, 12, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [8]}
  • id: 1156481
    {'degree': 8, 'field': [251001, 0, 24411, 0, 2056, 0, 51, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [8]}
  • id: 1156480
    {'degree': 8, 'field': [192904321, 0, -3276436, 0, -26334, 0, -76, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [2, 4]}
  • id: 1156488
    {'degree': 16, 'field': [275625, 0, 2700000, 0, 6346150, 0, -3332700, 0, 804675, 0, 15540, 0, 2190, 0, 0, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [12]}
  • id: 1156489
    {'degree': 16, 'field': [1686498489, 0, -20391588, 0, -26900100, 0, 9921204, 0, 1253070, 0, 13716, 0, 1548, 0, 60, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [12]}
  • id: 1156485
    {'degree': 16, 'field': [2166877801, 615498488, -532444072, -161764248, 70407428, 11470168, -1939016, -1726464, 587653, -130872, 53956, -16360, 3758, -504, 92, -8, 1], 'lmfdb_label': '22800.dt1', 'torsion': [2, 8]}
  • id: 1156486
    {'degree': 16, 'field': [9695044900, -5776298200, 1362092160, 23675320, 159903541, -3893130, -8940047, 8147598, -1655546, -22242, 34901, -20414, 4782, 66, -59, -6, 1], 'lmfdb_label': '22800.dt1', 'torsion': [2, 8]}
  • id: 1156487
    {'degree': 16, 'field': [2378171105424, 0, 12098699129088, 0, 422157144880, 0, -60492204024, 0, -213942900, 0, 4890964, 0, -11307, 0, -150, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [2, 6]}
  • id: 1156484
    {'degree': 16, 'field': [701007964668025, 0, 14716893779100, 0, 642805382110, 0, 4808557440, 0, 147850431, 0, 179064, 0, 21106, 0, -36, 0, 1], 'lmfdb_label': '22800.dt1', 'torsion': [4, 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: 521495
    {'conductor': 22800, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '22800.dt1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 521496
    {'conductor': 22800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22800.dt1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 521497
    {'conductor': 22800, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '22800.dt1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 521498
    {'conductor': 22800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '22800.dt1', 'prime': 19, '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: 1816441
    {'adelic_gens': [[1421, 1424, 262, 1419], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [452, 2279, 889, 2274], [856, 2003, 289, 318], [7, 6, 2274, 2275], [2273, 8, 2272, 9], [844, 1, 863, 6], [1528, 3, 1525, 2]], 'adelic_image': '2280.48.0.?', 'conductor': 22800, 'lmfdb_label': '22800.dt1', 'prime': 0}
  • id: 105111
    {'conductor': 22800, 'elladic_image': '4.6.0.1', 'lmfdb_label': '22800.dt1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 22800.dt does not appear in ec_padic