Elliptic curve data - 371280.cy5

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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': '371280cy3', 'Cnumber': 3, 'abc_quality': 1.063140702220356, 'absD': 542724754511677453148160000, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 371280, 'ainvs': [0, -1, 0, -203937440, 16314489600], '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': ['8.96.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.8193588633929407767282544375', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 4], 'jinv': [229010110533436633465952161, 132501160769452503210000], 'lmfdb_iso': '371280.cy', 'lmfdb_label': '371280.cy5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12746090, -254913900], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.48.0-4.b.1.1', '8.96.0-8.c.1.10', '120.192.1.?', '952.192.1.?', '4368.192.2.?', '7280.192.2.?', '10608.192.2.?', '14280.384.5.?', '17680.192.2.?', '21840.384.5.?', '53040.384.5.?', '74256.384.5.?', '123760.384.5.?', '371280.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 123760], [5, 6, 74256], [7, 8, 53040], [13, 14, 28560], [17, 18, 21840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1262116828329954673110223160', 'prec': 100}, 'szpiro_ratio': 5.381296341671233, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
• 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.cy5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.043967710351196459780427613739', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8139334624765734259473672793060867289', 'prec': 130}, 'tamagawa_product': 4096, 'torsion_generators': [[80, 0, 1], [-5870, 1005550, 1]], 'xcoord_integral_points': [-14320, -5870, 80, 14241, 34352]}
• lmfdb_label 371280.cy5 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15411468
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 4]}
  • id: 15411471
    {'degree': 4, 'field': [225, 0, 0, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 8]}
  • id: 15411469
    {'degree': 4, 'field': [1022, -56, 57, -2, 1], 'lmfdb_label': '371280.cy5', 'torsion': [2, 8]}
  • id: 15411470
    {'degree': 4, 'field': [3481, 0, -120, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [2, 8]}
  • id: 15411474
    {'degree': 8, 'field': [-5038848, 0, -350748, 0, -7776, 0, 0, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [2, 12]}
  • id: 15411473
    {'degree': 8, 'field': [810000, 0, 0, 0, 1681, 0, 0, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 8]}
  • id: 15411472
    {'degree': 8, 'field': [1259560, 116280, -111434, -9590, 4541, 302, -96, -4, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 8]}
  • id: 15411480
    {'degree': 16, 'field': [1332542016, 0, 6978761712, 0, 16280948268, 0, -59938631, 0, -783430, 0, 255529, 0, -467, 0, 2, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 12]}
  • id: 15411475
    {'degree': 16, 'field': [679797516064, 62532697024, -167943872016, -8912135456, 19310898706, 542289580, -1287372098, -14932792, 54085641, 124208, -1456318, 1624, 24520, -28, -236, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [8, 8]}
  • id: 15411479
    {'degree': 16, 'field': [348098238926881, 0, 1121038814048, 0, -184233741032, 0, -944413384, 0, 62595310, 0, 20096, 0, -9992, 0, 8, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 16]}
  • id: 15411478
    {'degree': 16, 'field': [8916233783007721, 0, 59629200924368, 0, -9907415099312, 0, 5774987096, 0, 2956453030, 0, 210416, 0, -105152, 0, 8, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [4, 16]}
  • id: 15411477
    {'degree': 16, 'field': [789157670516139024, 0, -37811057206192128, 0, 655907973701760, 0, -5298072398496, 0, 22708180305, 0, -72051768, 0, 298080, 0, -936, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [2, 16]}
  • id: 15411476
    {'degree': 16, 'field': [84542783931225000000, 0, -606513864690000000, 0, 6530289599250000, 0, -31500628650000, 0, 152313510625, 0, -611984000, 0, 1446800, 0, -1840, 0, 1], 'lmfdb_label': '371280.cy5', 'torsion': [2, 16]}
• 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: 9187445
    {'conductor': 371280, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '371280.cy5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9187446
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.cy5', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9187447
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.cy5', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9187448
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.cy5', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9187449
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '371280.cy5', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 9187450
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.cy5', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3974891
    {'adelic_gens': [[1, 16, 0, 1], [114249, 8, 228472, 371273], [1, 8, 0, 1], [1, 16, 8, 129], [371265, 16, 371264, 17], [74257, 12, 0, 1], [232049, 371272, 185636, 371247], [212169, 16, 158684, 370505], [1, 0, 16, 1], [46413, 185644, 8, 139241], [65521, 8, 262084, 33], [9, 4, 247432, 371241]], 'adelic_image': '371280.768.13.?', 'conductor': 371280, 'lmfdb_label': '371280.cy5', 'prime': 0}
  • id: 1274365
    {'conductor': 371280, 'elladic_image': '8.96.0.5', 'lmfdb_label': '371280.cy5', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 371280.cy does not appear in ec_padic