Elliptic curve data - 6370.z6

Formats: - HTML - YAML - JSON - 2026-02-02T23:41:10.058298

• 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': '6370v', 'Clabel': '6370v1', 'Cnumber': 1, 'abc_quality': 0.931188760669257, 'absD': 98228519567360, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 32760, 'ainvs': [1, 1, 1, -58605, -5464285], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 6370, 'degree': 27648, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5373149350638529943429176415', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [189208196468929, 834928640], 'lmfdb_iso': '6370.z', 'lmfdb_label': '6370.z6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1196, 15760], 'min_quad_twist_disc': -7, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '21.8.0-3.a.1.1', '24.24.0-6.a.1.7', '42.24.0-6.a.1.3', '56.6.0.d.1', '63.24.0-9.a.1.1', '72.72.0.?', '126.72.0.?', '130.6.0.?', '168.48.0.?', '390.24.0.?', '504.144.1.?', '819.72.0.?', '1170.72.1.?', '1560.48.0.?', '1638.216.2.?', '2730.48.0.?', '3640.12.0.?', '4680.144.1.?', '6552.432.7.?', '8190.432.7.?', '10920.96.1.?', '32760.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3185], [3, 2, 3185], [5, 6, 1274], [7, 32, 130], [13, 14, 490]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56435986053619634179024126978', 'prec': 103}, 'szpiro_ratio': 5.0859145754942015, '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, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, -1, 0, 2, 1, 0, 1, -2, 1], 'aplist': [1, 2, 1, 0, 0, -1, 0, -2, 6, 6, 4, 2, 0, 8, 0, 12, -6, 10, -4, 6, -2, 8, -12, 0, 10], 'class_deg': 18, 'class_size': 6, 'conductor': 6370, 'isogeny_matrix': [[1, 2, 3, 9, 6, 18], [2, 1, 6, 18, 3, 9], [3, 6, 1, 3, 2, 6], [9, 18, 3, 1, 6, 2], [6, 3, 2, 6, 1, 3], [18, 9, 6, 2, 3, 1]], 'lmfdb_iso': '6370.z', 'trace_hash': 750714910037292131}
• 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': '0.046206727707224707533937721208', 'prec': 107}, 'conductor': 6370, 'gens': [], 'heights': [], 'lmfdb_label': '6370.z6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.30692421733677431031738709443', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5246359120619375857129676997940902657', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[279, -140, 1]], 'xcoord_integral_points': [279]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': [1, 0], '7': 'a', '13': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '6370.z6'}
• ec_torsion_growth •

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

  
  
  • id: 332770
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 2]}
  • id: 332771
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '6370.z6', 'torsion': [6]}
  • id: 332772
    {'degree': 4, 'field': [2, 8, -7, -2, 1], 'lmfdb_label': '6370.z6', 'torsion': [4]}
  • id: 332773
    {'degree': 4, 'field': [324, 0, -29, 0, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 6]}
  • id: 332774
    {'degree': 6, 'field': [-1028, -152, 151, 1, 2, -3, 1], 'lmfdb_label': '6370.z6', 'torsion': [6]}
  • id: 332775
    {'degree': 6, 'field': [736, -400, 162, 13, 1, -1, 1], 'lmfdb_label': '6370.z6', 'torsion': [18]}
  • id: 332776
    {'degree': 8, 'field': [-2740, 4940, -379, -2202, 703, 136, -57, -2, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 4]}
  • id: 332778
    {'degree': 8, 'field': [16, 16, 36, 8, -36, -4, 9, -2, 1], 'lmfdb_label': '6370.z6', 'torsion': [12]}
  • id: 332777
    {'degree': 8, 'field': [83840, -63520, 23710, -2480, -409, 222, -6, -2, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 4]}
  • id: 332782
    {'degree': 12, 'field': [75776, 877440, 3204816, -568332, 80236, -3115, 2955, 441, 39, -257, 17, -1, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 18]}
  • id: 332780
    {'degree': 12, 'field': [247108, -661114, 642217, -213450, -54052, 49780, -2693, -4342, 703, 170, -36, -4, 1], 'lmfdb_label': '6370.z6', 'torsion': [18]}
  • id: 332779
    {'degree': 12, 'field': [1056784, 156256, 178332, -20896, 25009, 3843, -2813, 756, -144, -8, 7, -3, 1], 'lmfdb_label': '6370.z6', 'torsion': [3, 6]}
  • id: 332781
    {'degree': 12, 'field': [8548240, 2904360, -3401400, 1002950, -523275, 25140, -6769, -1206, 90, 130, -15, -6, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 6]}
  • id: 332784
    {'degree': 16, 'field': [614656, 0, -812224, 0, 461188, 0, -39956, 0, 2193, 0, 2408, 0, 442, 0, 28, 0, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 12]}
  • id: 332785
    {'degree': 16, 'field': [1883456, 5199328, 4448264, -6738232, 2658956, -260984, -70778, 114634, -61283, 6962, 5588, -1238, -194, 94, 6, -4, 1], 'lmfdb_label': '6370.z6', 'torsion': [2, 12]}
  • id: 332783
    {'degree': 16, 'field': [29626249, 0, -116382080, 0, 57542576, 0, -11309704, 0, 1036742, 0, -42112, 0, 672, 0, -24, 0, 1], 'lmfdb_label': '6370.z6', 'torsion': [8]}
• 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: 127878
    {'conductor': 6370, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '6370.z6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
  • id: 127879
    {'conductor': 6370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6370.z6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 127880
    {'conductor': 6370, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '6370.z6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 127881
    {'conductor': 6370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '6370.z6', 'prime': 13, '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: 1705853
    {'adelic_gens': [[1, 36, 0, 1], [9329, 32724, 14374, 27713], [1, 0, 36, 1], [26236, 27, 13413, 298], [32725, 36, 32724, 37], [8191, 36, 0, 1], [19, 36, 3240, 6139], [16381, 36, 10, 361], [27724, 9, 15199, 178], [25481, 36, 0, 1], [1, 18, 14, 253]], 'adelic_image': '32760.864.21.?', 'conductor': 6370, 'lmfdb_label': '6370.z6', 'prime': 0}
  • id: 31417
    {'conductor': 6370, 'elladic_image': '2.3.0.1', 'lmfdb_label': '6370.z6', 'modell_image': '2B', 'prime': 2}
  • id: 31418
    {'conductor': 6370, 'elladic_image': '9.12.0.1', 'lmfdb_label': '6370.z6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 6370.z does not appear in ec_padic