Elliptic curve data - 338800.ba4

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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': '338800ba', 'Clabel': '338800ba2', 'Cnumber': 2, 'abc_quality': 0.9676277689392396, 'absD': 11111230592000000, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 27720, 'ainvs': [0, 1, 0, -509208, 139597588], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 338800, 'degree': 3317760, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0113024649311555349341206950', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [128787625, 98], 'lmfdb_iso': '338800.ba', 'lmfdb_label': '338800.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11, 12], 'min_quad_twist_disc': 220, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '56.12.0.k.1', '63.36.0.d.2', '72.72.1.?', '84.24.0.?', '126.108.2.?', '168.48.1.?', '252.216.7.?', '504.432.21.?', '660.24.0.?', '1320.48.0.?', '1980.72.0.?', '3960.144.1.?', '4620.48.0.?', '9240.96.1.?', '13860.432.7.?', '27720.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.6702969783048453602803067257', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3025], [5, 14, 13552], [7, 8, 48400], [11, 62, 2800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.68551130824502523381446288206', 'prec': 107}, 'szpiro_ratio': 4.0080718028038325, '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, -2, 0, 0, 0, -1, 0, 1, 0, 0, 0, -4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -2, 0, -1, 0, -4, 6, 2, 0, 6, 4, -2, -6, -8, -12, -6, 6, -8, -4, 0, 2, 8, 6, -6, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 338800, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '338800.ba', 'trace_hash': 608206099448001097}
• 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': '0.017906259583513746726121738424', 'prec': 107}, 'conductor': 338800, 'gens': [[524, 4114, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.6702969783048453602803067257', 'prec': 100}], 'lmfdb_label': '338800.ba4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.40074614228188311616300937189', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2804448512105444454566824006410686842', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[403, 0, 1]], 'xcoord_integral_points': [228, 403, 524]}
• lmfdb_label 338800.ba4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14175849
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [6]}
  • id: 14175848
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 2]}
  • id: 14175851
    {'degree': 4, 'field': [729, 0, -56, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 6]}
  • id: 14175850
    {'degree': 4, 'field': [1499, -83, 70, -1, 1], 'lmfdb_label': '338800.ba4', 'torsion': [4]}
  • id: 14175853
    {'degree': 6, 'field': [-151579, -5944, 8967, 226, -168, -2, 1], 'lmfdb_label': '338800.ba4', 'torsion': [18]}
  • id: 14175852
    {'degree': 6, 'field': [130761, 20790, -4895, -378, 55, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [6]}
  • id: 14175854
    {'degree': 8, 'field': [152881, 0, -4596, 0, -668, 0, -4, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 4]}
  • id: 14175856
    {'degree': 8, 'field': [153274, 41492, -4528, -1972, 657, 132, -25, -2, 1], 'lmfdb_label': '338800.ba4', 'torsion': [12]}
  • id: 14175855
    {'degree': 8, 'field': [166769, 42302, -8747, -2150, 638, 126, -21, -2, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 4]}
  • id: 14175860
    {'degree': 12, 'field': [257999041, 47503788, -70124788, -10382940, 7434219, 845028, -399322, -32316, 11528, 584, -170, -4, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 18]}
  • id: 14175858
    {'degree': 12, 'field': [1794668401, 508023092, -78104137, -23026730, 7174550, 836238, -409971, -25974, 11288, 484, -157, -4, 1], 'lmfdb_label': '338800.ba4', 'torsion': [18]}
  • id: 14175859
    {'degree': 12, 'field': [13886475289, 5237044092, -752021494, -309423240, 31158951, 7003584, -235844, 0, -7365, -756, 98, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 6]}
  • id: 14175857
    {'degree': 12, 'field': [27019450989, 2974802976, -2839243461, -267835566, 125753986, 9671268, -3015925, -176178, 41598, 1620, -313, -6, 1], 'lmfdb_label': '338800.ba4', 'torsion': [3, 6]}
  • id: 14175863
    {'degree': 16, 'field': [2448110729, 360767308, -1131679170, -100957184, 239886036, 11296104, -29946166, -610712, 2415001, 12376, -130282, 240, 4640, -12, -100, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 12]}
  • id: 14175861
    {'degree': 16, 'field': [12901088264, -2560520464, -2209694112, 62133680, 417645308, -8897384, -27295772, -3171856, 2203527, 124558, -67846, -11552, 3075, 168, -40, -6, 1], 'lmfdb_label': '338800.ba4', 'torsion': [8]}
  • id: 14175862
    {'degree': 16, 'field': [22765076161, 0, -3097340640, 0, -92728336, 0, 5740464, 0, 934306, 0, -10272, 0, -1232, 0, -16, 0, 1], 'lmfdb_label': '338800.ba4', 'torsion': [2, 12]}
• 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: 8384134
    {'conductor': 338800, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '338800.ba4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8384135
    {'conductor': 338800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '338800.ba4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8384136
    {'conductor': 338800, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '338800.ba4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8384137
    {'conductor': 338800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '338800.ba4', 'prime': 11, 'reduction_type': 0, '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: 3781799
    {'adelic_gens': [[1, 36, 0, 1], [15401, 25740, 0, 1], [1, 0, 36, 1], [27685, 36, 27684, 37], [25199, 0, 0, 27719], [6929, 1980, 11330, 19799], [5543, 0, 0, 27719], [1321, 25740, 13530, 22441], [19, 36, 3240, 6139], [26236, 26235, 6105, 11386], [1, 18, 14, 253]], 'adelic_image': '27720.864.21.?', 'conductor': 338800, 'lmfdb_label': '338800.ba4', 'prime': 0}
  • id: 1176070
    {'conductor': 338800, 'elladic_image': '8.6.0.6', 'lmfdb_label': '338800.ba4', 'modell_image': '2B', 'prime': 2}
  • id: 1176071
    {'conductor': 338800, 'elladic_image': '9.12.0.1', 'lmfdb_label': '338800.ba4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 338800.ba does not appear in ec_padic