Elliptic curve data - 2880.m4

Formats: - HTML - YAML - JSON - 2024-06-06T17:54:42.733709

• 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': '2880i', 'Clabel': '2880i2', 'Cnumber': 2, 'abc_quality': 0.8396384887826309, 'absD': 298598400, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, 132, -592], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2880, 'degree': 768, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.31250322937848018394082865934', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '2880.m', 'lmfdb_label': '2880.m4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': -24, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.48.0-12.d.1.7', '20.12.0.d.1', '24.96.0-24.bh.1.4', '40.24.0.bc.1', '60.96.1-60.h.1.8', '120.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, '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': '-1.0454746256088441894102314342', 'prec': 103}, 'szpiro_ratio': 3.3004843881704935, '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, 2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, -1, 2, 0, -2, 6, 4, -6, 6, -4, -2, -6, 10, 6, -6, 12, -2, -2, 12, 2, 8, 6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 2880, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2880.m', 'trace_hash': 2256027514269234409}
• 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': '0.53525797140667751459728701627', 'prec': 103}, 'conductor': 2880, 'gens': [], 'heights': [], 'lmfdb_label': '2880.m4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.92842405474093219337109801846', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8568481094818643867421960369217180534', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[4, 0, 1]], 'xcoord_integral_points': [4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '2880.m4'}
• ec_torsion_growth •

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

  
  
  • id: 149341
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 2]}
  • id: 149342
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [6]}
  • id: 149343
    {'degree': 4, 'field': [-36, 0, -6, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [4]}
  • id: 149344
    {'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 6]}
  • id: 149345
    {'degree': 6, 'field': [-2, 0, 12, 0, 6, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [6]}
  • id: 149346
    {'degree': 8, 'field': [25, 0, -20, 0, 11, 0, -4, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 4]}
  • id: 149347
    {'degree': 8, 'field': [81, 0, 0, 0, 27, 0, 0, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 4]}
  • id: 149348
    {'degree': 8, 'field': [81, 0, 162, 0, 63, 0, 12, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [12]}
  • id: 149349
    {'degree': 12, 'field': [4, 0, 24, 0, 156, 0, -76, 0, 24, 0, -6, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [3, 6]}
  • id: 149350
    {'degree': 12, 'field': [25, 0, -100, 0, 195, 0, -188, 0, 87, 0, -16, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 6]}
  • id: 149352
    {'degree': 16, 'field': [-59, 276, -628, 236, -592, 2296, -324, -2152, 1833, -224, -536, 400, -122, 12, 8, -4, 1], 'lmfdb_label': '2880.m4', 'torsion': [8]}
  • id: 149353
    {'degree': 16, 'field': [1, -4, 6, -16, 44, -56, 60, -88, 83, -52, 36, -12, -4, 0, 2, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 12]}
  • id: 149351
    {'degree': 16, 'field': [1, 0, 0, 0, -3, 0, 0, 0, 8, 0, 0, 0, -3, 0, 0, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [4, 4]}
  • id: 149354
    {'degree': 16, 'field': [1, 76, 2122, -6360, 9258, -10940, 10950, -9036, 6511, -4184, 2434, -1204, 504, -168, 44, -8, 1], 'lmfdb_label': '2880.m4', 'torsion': [2, 12]}
  • id: 149355
    {'degree': 18, 'field': [216, 0, 864, 0, -216, 0, 72, 0, -144, 0, 36, 0, 54, 0, 24, 0, 12, 0, 1], 'lmfdb_label': '2880.m4', 'torsion': [18]}
• 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: 51174
    {'conductor': 2880, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '2880.m4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 51175
    {'conductor': 2880, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2880.m4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 51176
    {'conductor': 2880, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2880.m4', 'prime': 5, 'reduction_type': -1, '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: 1682790
    {'adelic_gens': [[97, 24, 96, 25], [21, 104, 74, 117], [1, 0, 24, 1], [99, 4, 71, 65], [13, 24, 12, 13], [15, 16, 74, 95], [59, 96, 114, 95], [1, 24, 0, 1], [15, 22, 14, 83]], 'adelic_image': '120.384.9.?', 'conductor': 2880, 'lmfdb_label': '2880.m4', 'prime': 0}
  • id: 14463
    {'conductor': 2880, 'elladic_image': '4.6.0.5', 'lmfdb_label': '2880.m4', 'modell_image': '2B', 'prime': 2}
  • id: 14464
    {'conductor': 2880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '2880.m4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 2880.m does not appear in ec_padic