Elliptic curve data - 371280.cy3

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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': '371280cy', 'Clabel': '371280cy4', 'Cnumber': 4, 'abc_quality': 1.0084010450121792, 'absD': 16289910000000000000000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [0, -1, 0, -2224245920, -40375167552768], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 371280, 'degree': 150994944, 'elladic_images': ['16.96.0.143'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8193588633929407767282544375', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [297106512928238351998640242081, 3977028808593750000], 'lmfdb_iso': '371280.cy', 'lmfdb_label': '371280.cy3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -139015370, 630861993012], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.1.3', '16.96.0-16.v.1.6', '476.24.0.?', '480.192.1.?', '952.96.0.?', '1904.192.1.?', '4368.192.2.?', '10608.192.2.?', '14560.192.2.?', '35360.192.2.?', '43680.384.5.?', '57120.384.5.?', '74256.384.5.?', '106080.384.5.?', '247520.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 119], [3, 4, 123760], [5, 6, 74256], [7, 8, 53040], [13, 14, 28560], [17, 18, 21840]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1262116828329954673110223160', 'prec': 100}, 'szpiro_ratio': 5.940223509459879, '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, -1, 0, 1, 0, 1, 0, 1, 0, 4, 0, 1, 0, -1, 0, 1, 0, -4, 0], 'aplist': [0, -1, 1, 1, 4, 1, 1, -4, -8, -2, 0, 6, 10, 4, 0, -10, 4, -2, -4, -8, 10, 16, 12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 371280, 'isogeny_matrix': [[1, 2, 16, 4, 4, 8, 16, 8], [2, 1, 8, 2, 2, 4, 8, 4], [16, 8, 1, 16, 4, 2, 4, 8], [4, 2, 16, 1, 4, 8, 16, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 2, 8, 2, 1, 2, 4], [16, 8, 4, 16, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '371280.cy', 'trace_hash': 994145689129972841}
• 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': '0.00048144540096703753553368190915', 'prec': 113}, 'conductor': 371280, 'gens': [], 'heights': [], 'lmfdb_label': '371280.cy3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.021983855175598229890213806870', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8139334624765734259473672793060867289', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-27231, 0, 1]], 'xcoord_integral_points': [-27231]}
• lmfdb_label 371280.cy3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15411481
    {'degree': 2, 'field': [-119, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 2]}
  • id: 15411483
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [8]}
  • id: 15411482
    {'degree': 2, 'field': [30, -1, 1], 'lmfdb_label': '371280.cy3', 'torsion': [4]}
  • id: 15411484
    {'degree': 4, 'field': [-20111, 0, 0, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 4]}
  • id: 15411485
    {'degree': 4, 'field': [900, 0, -59, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 8]}
  • id: 15411487
    {'degree': 4, 'field': [74529, 0, 0, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [16]}
  • id: 15411486
    {'degree': 4, 'field': [80444, 0, 0, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [8]}
  • id: 15411488
    {'degree': 4, 'field': [439569, 0, 0, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [16]}
  • id: 15411492
    {'degree': 8, 'field': [-5038848, 0, -350748, 0, -7776, 0, 0, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [6]}
  • id: 15411490
    {'degree': 8, 'field': [10112400, 0, 505236, 0, 11464, 0, 149, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 16]}
  • id: 15411489
    {'degree': 8, 'field': [404412100, 0, 241336, 0, -40216, 0, 4, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [4, 8]}
  • id: 15411491
    {'degree': 8, 'field': [2998219536, 0, 0, 0, -71487, 0, 0, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 16]}
  • id: 15411500
    {'degree': 16, 'field': [1332542016, 0, 6978761712, 0, 16280948268, 0, -59938631, 0, -783430, 0, 255529, 0, -467, 0, 2, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [24]}
  • id: 15411499
    {'degree': 16, 'field': [392495794128, 394457703984, -334014755724, -164005519680, 190414471392, -131811196608, 46804117320, -2467797936, 629925253, -8760608, 1865668, -66344, 14758, -1736, 268, -8, 1], 'lmfdb_label': '371280.cy3', 'torsion': [12]}
  • id: 15411493
    {'degree': 16, 'field': [2653559550625, 0, -729788992, 0, -912233168, 0, -182448784, 0, -3256862, 0, -448, 0, 112, 0, -16, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 8]}
  • id: 15411498
    {'degree': 16, 'field': [19086553241856, 0, 1483055298432, 0, -50653482192, 0, -4887937031, 0, 160666970, 0, -1247111, 0, 24313, 0, -238, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [2, 6]}
  • id: 15411494
    {'degree': 16, 'field': [1220622617508100, 0, 559198939666856, 0, 50215759015424, 0, 1364189479332, 0, 16653313253, 0, 109427868, 0, 428222, 0, 944, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [4, 16]}
  • id: 15411495
    {'degree': 16, 'field': [1141004449866674405376, 0, -40889905696525197312, 0, 534328787930491008, 0, -3142512399237120, 0, 9768548529376, 0, -16774182880, 0, 15182258, 0, -6188, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [16]}
  • id: 15411496
    {'degree': 16, 'field': [1763244084634905786322500, 0, -5182198972671549301200, 0, 41195111894540148636, 0, -132258097972767312, 0, 195157980100629, 0, -147570699276, 0, 59379684, 0, -12012, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [32]}
  • id: 15411497
    {'degree': 16, 'field': [300320334707877575510000400, 0, -910959309846382925288160, 0, 1083169047352145566176, 0, -551541240576478152, 0, 66644076329649, 0, 34425285804, 0, -6253416, 0, -2652, 0, 1], 'lmfdb_label': '371280.cy3', 'torsion': [32]}
• 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: 9187451
    {'conductor': 371280, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '371280.cy3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9187452
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.cy3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9187453
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '371280.cy3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 9187454
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '371280.cy3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9187455
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '371280.cy3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9187456
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '371280.cy3', 'prime': 17, '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: 3974889
    {'adelic_gens': [[212190, 31, 318089, 742404], [1, 0, 32, 1], [1, 32, 0, 1], [456983, 26, 172134, 875], [5, 28, 68, 381], [445537, 32, 445552, 513], [92841, 32, 92524, 742109], [611552, 29, 701707, 2562], [23, 18, 739998, 740555], [510478, 742541, 697905, 1042], [247543, 26, 740022, 739691], [742529, 32, 742528, 33]], 'adelic_image': '742560.768.13.?', 'conductor': 371280, 'lmfdb_label': '371280.cy3', 'prime': 0}
  • id: 1274363
    {'conductor': 371280, 'elladic_image': '16.96.0.143', 'lmfdb_label': '371280.cy3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 371280.cy does not appear in ec_padic