Elliptic curve data - 3360.x1

Formats: - HTML - YAML - JSON - 2024-04-20T14:41:12.588084

• 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': '3360x', 'Clabel': '3360x2', 'Cnumber': 2, 'abc_quality': 1.0816058099434143, 'absD': 4898880000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [0, 1, 0, -102060000, -396888659352], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 215040, 'elladic_images': ['8.12.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7599875578878890171728697676', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2, 4], 'jinv': [229625675762164624948320008, 9568125], 'lmfdb_iso': '3360.x', 'lmfdb_label': '3360.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -102060000, 396888659352], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.5', '24.24.0-24.bb.1.14', '28.12.0-4.c.1.2', '56.24.0-56.ba.1.2', '168.48.0.?'], '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': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2401271724679300351099456765', 'prec': 100}, 'szpiro_ratio': 8.243758788260493, '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, -6, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, 1, 1, -1, 4, -6, 6, 4, 4, -2, -8, 6, 6, -8, 0, 6, 4, 10, -8, -12, -14, 16, 12, 14, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 3360, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '3360.x', 'trace_hash': 3162156426479573}
• 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': '0.0040059476257490786233522790528', 'prec': 110}, 'conductor': 3360, 'gens': [], 'heights': [], 'lmfdb_label': '3360.x1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.047499130898898783708958851660', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6599513303383318877016956929486910009', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [[-5833, 0, 1]], 'xcoord_integral_points': [-5833]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [2, 0]}, 'iwp0': 11, 'lmfdb_label': '3360.x1'}
• ec_torsion_growth •

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

  
  
  • id: 175765
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [2, 2]}
  • id: 175767
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '3360.x1', 'torsion': [4]}
  • id: 175766
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [4]}
  • id: 175768
    {'degree': 4, 'field': [22, -16, 17, -2, 1], 'lmfdb_label': '3360.x1', 'torsion': [2, 4]}
  • id: 175769
    {'degree': 4, 'field': [168, 0, 24, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [8]}
  • id: 175773
    {'degree': 8, 'field': [-3, 0, -232, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [6]}
  • id: 175772
    {'degree': 8, 'field': [694, -536, 752, -464, 313, -100, 38, -4, 1], 'lmfdb_label': '3360.x1', 'torsion': [2, 8]}
  • id: 175771
    {'degree': 8, 'field': [841, 0, 1040, 0, 314, 0, 32, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [8]}
  • id: 175770
    {'degree': 8, 'field': [17424, 0, -12960, 0, -120, 0, -24, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [2, 4]}
  • id: 175775
    {'degree': 16, 'field': [34042, 43248, 6012, -38672, -22302, 16544, 2996, 460, 1347, -3028, 1980, -916, 386, -140, 44, -8, 1], 'lmfdb_label': '3360.x1', 'torsion': [2, 8]}
  • id: 175779
    {'degree': 16, 'field': [189008, -145376, 195280, -137568, 174976, -160456, 108652, -47864, 13485, -2384, 2096, -1216, 506, -168, 44, -8, 1], 'lmfdb_label': '3360.x1', 'torsion': [12]}
  • id: 175778
    {'degree': 16, 'field': [1476225, 0, 1968300, 0, 656100, 0, -65124, 0, -28998, 0, 1836, 0, 36, 0, 12, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [12]}
  • id: 175774
    {'degree': 16, 'field': [3319684, 0, 3203664, 0, 1336636, 0, 140112, 0, -4347, 0, 252, 0, 238, 0, -12, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [4, 4]}
  • id: 175776
    {'degree': 16, 'field': [43758225, 0, -19336968, 0, 396900, 0, 687960, 0, 136122, 0, 504, 0, 492, 0, 24, 0, 1], 'lmfdb_label': '3360.x1', 'torsion': [16]}
  • id: 175777
    {'degree': 16, 'field': [1625944329, 0, 967029216, 0, -125115044, 0, -91134528, 0, 2911134, 0, -59936, 0, -1524, 0, 0, 0, 1], 'lmfdb_label': '3360.x1', '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: 61367
    {'conductor': 3360, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3360.x1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 61368
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '3360.x1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 61369
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3360.x1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 61370
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3360.x1', 'prime': 7, '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: 1685880
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [64, 3, 61, 2], [7, 6, 162, 163], [64, 155, 25, 54], [161, 8, 160, 9], [113, 108, 110, 23], [124, 1, 167, 6], [1, 4, 4, 17]], 'adelic_image': '168.48.0.?', 'conductor': 3360, 'lmfdb_label': '3360.x1', 'prime': 0}
  • id: 16872
    {'conductor': 3360, 'elladic_image': '8.12.0.6', 'lmfdb_label': '3360.x1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3360.x does not appear in ec_padic