Elliptic curve data - 350350.v1

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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': '350350v', 'Clabel': '350350v3', 'Cnumber': 3, 'abc_quality': 0.9532327911852743, 'absD': 1523790031826562500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -211545276, 1184258864198], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 350350, 'degree': 49766400, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1887174256533566903066220027', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [569541582763202518561, 828928100], 'lmfdb_iso': '350350.v', 'lmfdb_label': '350350.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -172690, -27636000], 'min_quad_twist_disc': -35, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '40.6.0.d.1', '105.8.0.?', '120.24.0.?', '168.24.0.?', '210.24.0.?', '840.48.0.?', '2002.6.0.?', '3432.24.0.?', '4290.24.0.?', '6006.24.0.?', '17160.48.0.?', '24024.48.0.?', '30030.48.0.?', '40040.12.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.0194085788114861380071857143', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 175175], [3, 2, 26950], [5, 18, 14014], [7, 32, 7150], [11, 12, 31850], [13, 14, 26950]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4110433949086498504535659644', 'prec': 100}, 'szpiro_ratio': 5.414360576349504, '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, 0, 2, 0, -1, 1, 0, 1, -2, 1, 0, 0, 1, -6, -1, 4, 0], 'aplist': [-1, -2, 0, 0, 1, 1, -6, 4, 0, 0, 4, -2, 6, -2, 0, -6, -12, -2, -14, 6, -4, -10, 6, -6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 350350, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '350350.v', 'trace_hash': 1912921587743749173}
• 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': '0.0016994767807762187856600702671', 'prec': 110}, 'conductor': 350350, 'gens': [[8621, 31361, 1], [8387, -2569, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3203672133084422738077466334', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.7617791378314153266932487113', 'prec': 100}], 'lmfdb_label': '350350.v1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.17172222407323662423514305476', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.3226559791859762470577425129191219529', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[8397, -4199, 1]], 'xcoord_integral_points': [-7603, 3987, 4162, 8387, 8397, 8621, 9622, 36747, 50921483]}
• lmfdb_label 350350.v1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14621416
    {'degree': 2, 'field': [-250, -1, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 2]}
  • id: 14621417
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '350350.v1', 'torsion': [6]}
  • id: 14621418
    {'degree': 4, 'field': [65, -10, 11, -2, 1], 'lmfdb_label': '350350.v1', 'torsion': [4]}
  • id: 14621419
    {'degree': 4, 'field': [2080, 2080, -406, -1, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 6]}
  • id: 14621420
    {'degree': 6, 'field': [261360, 0, 0, -880, 0, 0, 1], 'lmfdb_label': '350350.v1', 'torsion': [6]}
  • id: 14621421
    {'degree': 8, 'field': [-18037010, 20920650, 13376631, 2537498, 158453, -5074, -787, -2, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 4]}
  • id: 14621423
    {'degree': 8, 'field': [23059, -14764, 5724, -3032, 1337, -140, 78, -4, 1], 'lmfdb_label': '350350.v1', 'torsion': [12]}
  • id: 14621422
    {'degree': 8, 'field': [62500, 0, 20540, 0, 1021, 0, 78, 0, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 4]}
  • id: 14621424
    {'degree': 12, 'field': [68770342081, -693889686, -689248539, 465008670, 734010, -3883566, 1278781, 15714, -7830, 1710, 21, -6, 1], 'lmfdb_label': '350350.v1', 'torsion': [3, 6]}
  • id: 14621425
    {'degree': 12, 'field': [1256581167440, 310570185120, 73266133560, 21146186400, 287904480, -276321570, 6595909, -627633, 42330, 115, -90, -3, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 6]}
  • id: 14621427
    {'degree': 16, 'field': [-4178218517548400, 7016481964304800, -4164765104103760, 1119994355953200, -75141643031784, -34488231049384, 9300081263900, -758770251980, -22777665139, 6944077360, -213416896, -19293680, 1100386, 18760, -1780, -4, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 12]}
  • id: 14621428
    {'degree': 16, 'field': [157351936, 0, 3568692736, 0, 259488516, 0, 26048596, 0, 5140209, 0, 315304, 0, 10778, 0, 180, 0, 1], 'lmfdb_label': '350350.v1', 'torsion': [2, 12]}
  • id: 14621426
    {'degree': 16, 'field': [537151937875, -171176726000, 102252439800, -31671103800, 15551007760, -5065996560, 2280177900, -610934160, 150703701, -27604320, 2038136, -99880, 31706, -2760, 76, 0, 1], 'lmfdb_label': '350350.v1', 'torsion': [8]}
  • id: 14621429
    {'degree': 18, 'field': [-106776844388709236, 41848063922641368, 15064114299503892, 663001668379442, 618303468805806, -118254132902724, 1131789843737, -3956998479, -18176460624, 12431117426, -1938152517, 90919941, -1880668, -127383, 19749, -3382, -24, -9, 1], 'lmfdb_label': '350350.v1', '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: 8672274
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350350.v1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8672275
    {'conductor': 350350, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '350350.v1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8672276
    {'conductor': 350350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '350350.v1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8672277
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '350350.v1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8672278
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '350350.v1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 3851464
    {'adelic_gens': [[120109, 12, 120108, 13], [1, 6, 6, 37], [1, 12, 0, 1], [85790, 120117, 68667, 8], [80081, 12, 20020, 1], [60061, 12, 6, 73], [43690, 3, 98253, 120112], [9250, 3, 83133, 120112], [1, 0, 12, 1], [11, 2, 120070, 120111], [115119, 95098, 25046, 5021], [24023, 120108, 24018, 120047]], 'adelic_image': '120120.96.1.?', 'conductor': 350350, 'lmfdb_label': '350350.v1', 'prime': 0}
  • id: 1212276
    {'conductor': 350350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '350350.v1', 'modell_image': '2B', 'prime': 2}
  • id: 1212277
    {'conductor': 350350, 'elladic_image': '3.4.0.1', 'lmfdb_label': '350350.v1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 350350.v does not appear in ec_padic