Elliptic curve data - 174240.g2

Formats: - HTML - YAML - JSON - 2024-06-09T05:41:47.357318

• 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': '174240r', 'Clabel': '174240r2', 'Cnumber': 2, 'abc_quality': 0.98174487513138, 'absD': 21691702642199040, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 2640, 'ainvs': [0, 0, 0, -87483, 6998398], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 174240, 'degree': 1474560, 'elladic_images': ['8.12.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8405732216680416796962547251', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [111980168, 32805], 'lmfdb_iso': '174240.g', 'lmfdb_label': '174240.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -80, -168], 'min_quad_twist_disc': -132, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '40.24.0.by.1', '48.24.0.j.1', '80.48.0.?', '132.12.0.?', '176.24.0.?', '240.96.3.?', '264.24.0.?', '528.48.0.?', '880.96.0.?', '1320.48.0.?', '2640.192.3.?'], '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': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42754094448515742009526377344', 'prec': 107}, 'szpiro_ratio': 3.79105784392368, '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, 0, 0, -1, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, -4, 0, 2, -6, 0, -4, -2, 8, 6, -6, 12, -12, 10, 8, 10, 12, 8, -10, 16, -12, 6, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 174240, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '174240.g', 'trace_hash': 696027256676359035}
• 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': '0.025194074693164176481089245653', 'prec': 107}, 'conductor': 174240, 'gens': [], 'heights': [], 'lmfdb_label': '174240.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35504789966648794912664454051', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4201915986659517965065781620258334103', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[242, 0, 1]], 'xcoord_integral_points': [242]}
• lmfdb_label 174240.g2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7728646
    {'degree': 2, 'field': [-330, 0, 1], 'lmfdb_label': '174240.g2', 'torsion': [4]}
  • id: 7728645
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '174240.g2', 'torsion': [2, 2]}
  • id: 7728647
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '174240.g2', 'torsion': [4]}
  • id: 7728648
    {'degree': 4, 'field': [-6, 36, -35, -2, 1], 'lmfdb_label': '174240.g2', 'torsion': [2, 4]}
  • id: 7728652
    {'degree': 8, 'field': [-3920066, 397388, 103684, -19048, -800, 236, 34, -4, 1], 'lmfdb_label': '174240.g2', 'torsion': [6]}
  • id: 7728651
    {'degree': 8, 'field': [3546, 2088, 1146, 168, 475, -12, 38, 0, 1], 'lmfdb_label': '174240.g2', 'torsion': [8]}
  • id: 7728650
    {'degree': 8, 'field': [6246, 4968, -3864, -2136, 889, 212, -66, -4, 1], 'lmfdb_label': '174240.g2', 'torsion': [2, 8]}
  • id: 7728649
    {'degree': 8, 'field': [1404225, 0, -48900, 0, 1360, 0, -20, 0, 1], 'lmfdb_label': '174240.g2', 'torsion': [2, 4]}
  • id: 7728654
    {'degree': 16, 'field': [34596, 0, 2916624, 0, 5247868, 0, 2414096, 0, 507213, 0, 55492, 0, 3222, 0, 92, 0, 1], 'lmfdb_label': '174240.g2', 'torsion': [2, 8]}
  • id: 7728653
    {'degree': 16, 'field': [6687396, 0, 23171952, 0, 12837940, 0, 2623712, 0, 369549, 0, 33388, 0, 1950, 0, 68, 0, 1], 'lmfdb_label': '174240.g2', 'torsion': [4, 4]}
  • id: 7728657
    {'degree': 16, 'field': [29437776, 616032, 4958928, -8878752, -905184, 5508648, -412148, -1058216, 73773, 108656, -4096, -8496, 506, 392, -36, -8, 1], 'lmfdb_label': '174240.g2', 'torsion': [12]}
  • id: 7728656
    {'degree': 16, 'field': [938612889, -1992515256, 1926487056, -790783644, 70583106, 100529772, -40902168, 9931980, -3174380, 581000, -66488, 6652, -862, -332, 28, -4, 1], 'lmfdb_label': '174240.g2', 'torsion': [12]}
  • id: 7728655
    {'degree': 16, 'field': [1548686214, -3047518176, 1283888436, 917854656, -1139389224, 621927432, -203308428, 35543200, -7422940, 1036460, -148048, 4592, -922, -232, 8, -4, 1], 'lmfdb_label': '174240.g2', 'torsion': [2, 6]}
• 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: 4310380
    {'conductor': 174240, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '174240.g2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4310381
    {'conductor': 174240, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '174240.g2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 4310382
    {'conductor': 174240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '174240.g2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4310383
    {'conductor': 174240, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '174240.g2', '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: 2786956
    {'adelic_gens': [[15, 166, 2354, 2115], [67, 1870, 352, 1013], [1759, 704, 2552, 351], [1, 16, 0, 1], [1, 8, 8, 65], [1838, 1683, 2541, 980], [1439, 0, 0, 2639], [1, 0, 16, 1], [2234, 1023, 2013, 980], [2625, 16, 2624, 17]], 'adelic_image': '2640.192.3.?', 'conductor': 174240, 'lmfdb_label': '174240.g2', 'prime': 0}
  • id: 656180
    {'conductor': 174240, 'elladic_image': '8.12.0.10', 'lmfdb_label': '174240.g2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 174240.g does not appear in ec_padic