Elliptic curve data - 350350.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': '350350u', 'Clabel': '350350u4', 'Cnumber': 4, 'abc_quality': 1.0433724595016336, 'absD': 15271219342285156250, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 120120, 'ainvs': [1, 0, 1, -28672376, 59091344148], 'analytic_rank': 2, 'bad_primes': [2, 5, 7, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 350350, 'degree': 31850496, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8706772947584976642162985901', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1418098748958579169, 8307406250], 'lmfdb_iso': '350350.u', 'lmfdb_label': '350350.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -23406, -1380230], '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', '104.6.0.?', '105.8.0.?', '210.24.0.?', '220.6.0.?', '312.24.0.?', '660.24.0.?', '924.24.0.?', '4620.48.0.?', '5720.12.0.?', '10920.48.0.?', '17160.48.1.?', '24024.48.0.?', '120120.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 14, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.0639921731472705502448102721', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15925], [3, 2, 26950], [5, 18, 14014], [7, 26, 7150], [11, 12, 31850], [13, 14, 26950]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0930032640137908243632425518', 'prec': 100}, 'szpiro_ratio': 4.944738794859467, '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, -8, 0], 'aplist': [-1, -2, 0, 0, 1, 1, -6, -8, 0, 0, 4, -2, -12, -8, 6, 12, -12, -8, -8, -12, -10, -4, 12, -6, 8], '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.u', 'trace_hash': 2149640790427007176}
• 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': '0.0032104165319799389614573741124', 'prec': 110}, 'conductor': 350350, 'gens': [[3072, 251, 1], [3098, -1868, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4539281840612134721944134371', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.1430924333956815738715087343', 'prec': 100}], 'lmfdb_label': '350350.u1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.19682832021631374287515029849', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2369651911581198812457592313844840397', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[12343, -12347, 2]], 'xcoord_integral_points': [-5508, -2978, 3072, 3098, 3956, 10742, 30476]}
• lmfdb_label 350350.u1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14621375
    {'degree': 2, 'field': [-26, -1, 1], 'lmfdb_label': '350350.u1', 'torsion': [6]}
  • id: 14621374
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 2]}
  • id: 14621377
    {'degree': 4, 'field': [-26, 104, -103, -2, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 6]}
  • id: 14621376
    {'degree': 4, 'field': [5096, 0, 133, 0, 1], 'lmfdb_label': '350350.u1', 'torsion': [4]}
  • id: 14621378
    {'degree': 6, 'field': [2265, 615, 296, -29, 12, -1, 1], 'lmfdb_label': '350350.u1', 'torsion': [6]}
  • id: 14621381
    {'degree': 8, 'field': [2768896, 0, -192140, 0, 1208, 0, 65, 0, 1], 'lmfdb_label': '350350.u1', 'torsion': [12]}
  • id: 14621380
    {'degree': 8, 'field': [22047775, 1837700, -1797990, -79080, 38691, 1016, -334, -4, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 4]}
  • id: 14621379
    {'degree': 8, 'field': [85192900, 0, 1775540, 0, 25021, 0, 162, 0, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 4]}
  • id: 14621382
    {'degree': 12, 'field': [501264, 0, 387600, 0, 46396, 0, 12599, 0, 1191, 0, 53, 0, 1], 'lmfdb_label': '350350.u1', 'torsion': [3, 6]}
  • id: 14621383
    {'degree': 12, 'field': [1253581351, -108542566, -15732563, -13890490, 5567476, 809202, -257491, -11082, 8932, 178, -131, -2, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 6]}
  • id: 14621386
    {'degree': 16, 'field': [1630067959744, 1564929542400, -665745889088, -75432236992, -15415317728, 301475136, -207246968, -207711048, 58966393, -3013748, 222454, 83552, -10129, 1904, -254, -4, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 12]}
  • id: 14621385
    {'degree': 16, 'field': [2827113409030, 1287042761820, 375065268134, 106514765008, 13064852819, -953843328, -367568698, -50078724, -1680443, 2660556, 656698, 60008, 2937, 104, -38, -4, 1], 'lmfdb_label': '350350.u1', 'torsion': [2, 12]}
  • id: 14621384
    {'degree': 16, 'field': [4350859385756, -1889163656952, -226192419128, 46703662564, 71363487331, 11748374248, -3493153500, -213204468, 70708594, -760024, 10710, -19664, -10844, -348, 128, -4, 1], 'lmfdb_label': '350350.u1', 'torsion': [8]}
  • id: 14621387
    {'degree': 18, 'field': [678348672516, -3082163022540, -5807503571652, -3437370383166, -825346045080, -17013877920, 17790247695, -4762038015, -2695333095, -254651760, 34074483, 6022155, 330814, 140187, 20025, -1226, -315, -3, 1], 'lmfdb_label': '350350.u1', '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: 8672259
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '350350.u1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8672260
    {'conductor': 350350, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '350350.u1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 8672261
    {'conductor': 350350, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '350350.u1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8672262
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '350350.u1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8672263
    {'conductor': 350350, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '350350.u1', '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: 3851460
    {'adelic_gens': [[77890, 102963, 117453, 51472], [24023, 68628, 58338, 51407], [68639, 0, 0, 120119], [93675, 107968, 59318, 56477], [120109, 12, 120108, 13], [68650, 102963, 94353, 51472], [1, 0, 12, 1], [1, 6, 6, 37], [76441, 51492, 63966, 68713], [1, 12, 0, 1], [80081, 51492, 20020, 1], [11, 2, 120070, 120111]], 'adelic_image': '120120.96.1.?', 'conductor': 350350, 'lmfdb_label': '350350.u1', 'prime': 0}
  • id: 1212268
    {'conductor': 350350, 'elladic_image': '2.3.0.1', 'lmfdb_label': '350350.u1', 'modell_image': '2B', 'prime': 2}
  • id: 1212269
    {'conductor': 350350, 'elladic_image': '3.4.0.1', 'lmfdb_label': '350350.u1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 350350.u does not appear in ec_padic