Elliptic curve data - 371280.cy1

Formats: - HTML - YAML - JSON - 2025-01-03T05:43:46.381732

• 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': '371280cy7', 'Cnumber': 7, 'abc_quality': 1.0263816719000685, 'absD': 57641096405424049207173120, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 742560, 'ainvs': [0, -1, 0, -36136447040, 2644041474756480], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 371280, 'degree': 603979776, 'elladic_images': ['16.96.0.105'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5125060439528860861454865590', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 76, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [1274090022584975661628188489514561, 14072533302105480763470], 'lmfdb_iso': '371280.cy', 'lmfdb_label': '371280.cy1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -2258527940, -41313148043070], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.48.0-8.bb.2.4', '16.96.0-16.v.2.7', '120.96.0.?', '240.192.1.?', '3808.192.1.?', '8736.192.2.?', '10608.192.2.?', '14560.192.2.?', '17680.192.2.?', '43680.384.5.?', '53040.384.5.?', '57120.384.5.?', '148512.384.5.?', '247520.384.5.?', '742560.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15], [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': '3.8193588633929407767282544375', 'prec': 100}, 'szpiro_ratio': 6.5923747794089085, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [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': '0.00012036135024175938388342047729', 'prec': 113}, 'conductor': 371280, 'gens': [], 'heights': [], 'lmfdb_label': '371280.cy1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.043967710351196459780427613739', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8139334624765734259473672793060867289', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[112162, 1387778, 1]], 'xcoord_integral_points': [109761, 112162]}
• lmfdb_label 371280.cy1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15411532
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 4]}
  • id: 15411534
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [8]}
  • id: 15411533
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [8]}
  • id: 15411535
    {'degree': 4, 'field': [49, 0, -16, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 8]}
  • id: 15411536
    {'degree': 4, 'field': [879138, 0, -2652, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [16]}
  • id: 15411537
    {'degree': 4, 'field': [2442050, 0, -4420, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [16]}
  • id: 15411542
    {'degree': 8, 'field': [-5038848, 0, -350748, 0, -7776, 0, 0, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [12]}
  • id: 15411538
    {'degree': 8, 'field': [25694761, 0, 60844, 0, -10134, 0, 4, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [4, 4]}
  • id: 15411539
    {'degree': 8, 'field': [25715041, 0, -60836, 0, 10146, 0, 4, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 8]}
  • id: 15411540
    {'degree': 8, 'field': [1202702400, 0, -17686800, 0, 130050, 0, -510, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [16]}
  • id: 15411541
    {'degree': 8, 'field': [116886720769, 0, -1381614208, 0, 3907280, 0, -3536, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 16]}
  • id: 15411551
    {'degree': 16, 'field': [221841000000, 0, -121851450000, 0, 16329047500, 0, -112614375, 0, 12617250, 0, 248825, 0, -75, 0, -30, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [24]}
  • id: 15411550
    {'degree': 16, 'field': [33309427330624, 0, 3956846487104, 0, 189190890640, 0, 4442550848, 0, 33208240, 0, -764152, 0, -15440, 0, -16, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [24]}
  • id: 15411544
    {'degree': 16, 'field': [41296367750625, 0, 0, 0, 0, 0, 0, 0, 218491650, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [4, 8]}
  • id: 15411549
    {'degree': 16, 'field': [473048928097344, 0, -17117143186752, 0, 229094367120, 0, -14545635264, 0, 71450640, 0, -3146616, 0, 9648, 0, -240, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 12]}
  • id: 15411545
    {'degree': 16, 'field': [7082950036549696, -22662675889920, -382682050635328, -1992754671488, 10348186414112, 130532299008, -178848831496, -3181117104, 2161013665, 46109724, -18926648, -405604, 118992, 1988, -488, -4, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 16]}
  • id: 15411546
    {'degree': 16, 'field': [136606378348206001, 0, -20697767992, 0, 51744420028, 0, -20697767944, 0, 739206070, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [2, 16]}
  • id: 15411543
    {'degree': 16, 'field': [179311146598257961, 0, 23713282328, 0, -59283205772, 0, 23713282376, 0, -846902870, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [4, 8]}
  • id: 15411547
    {'degree': 16, 'field': [33209346720707135330625, 0, -2656777020284838906000, 0, 50599929049855871400, 0, -347365701501006240, 0, 810761649495408, 0, -762592433616, 0, 300392040, 0, -42432, 0, 1], 'lmfdb_label': '371280.cy1', 'torsion': [32]}
  • id: 15411548
    {'degree': 16, 'field': [71267507260665675390812160000, 0, -46554321453445158912000000, 0, 1375833879557280000000, 0, 3717359098920480000, 0, 2065275446341250, 0, -448262698000, 0, 107162900, 0, -8840, 0, 1], 'lmfdb_label': '371280.cy1', '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: 9187469
    {'conductor': 371280, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '371280.cy1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9187470
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '371280.cy1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9187471
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '371280.cy1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9187472
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '371280.cy1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 16}
  • id: 9187473
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '371280.cy1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9187474
    {'conductor': 371280, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '371280.cy1', '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: 3974887
    {'adelic_gens': [[742529, 32, 742528, 33], [23, 18, 739998, 740555], [92836, 29, 91391, 739970], [1, 32, 0, 1], [393143, 26, 41142, 739691], [1, 0, 32, 1], [106081, 32, 212176, 513], [30, 31, 296873, 742404], [247552, 29, 497867, 2562], [5, 28, 68, 381], [232034, 742531, 47839, 2590], [456983, 26, 172134, 875]], 'adelic_image': '742560.768.13.?', 'conductor': 371280, 'lmfdb_label': '371280.cy1', 'prime': 0}
  • id: 1274361
    {'conductor': 371280, 'elladic_image': '16.96.0.105', 'lmfdb_label': '371280.cy1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 371280.cy does not appear in ec_padic