Elliptic curve data - 92480.dn2

Formats: - HTML - YAML - JSON - 2025-10-27T06:38:48.532954

• 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': '92480di', 'Clabel': '92480di1', 'Cnumber': 1, 'abc_quality': 0.9894109418057115, 'absD': 198957441897149235200, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, -47229921, -124914486655], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 92480, 'degree': 8847360, 'elladic_images': ['8.12.0.23', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0244977755760043539180530895', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 91, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1841373668746009, 31443200], 'lmfdb_iso': '92480.dn', 'lmfdb_label': '92480.dn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2554, 49452], 'min_quad_twist_disc': -136, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '8.12.0-4.b.1.1', '12.24.0.f.1', '24.96.0-24.bq.1.11', '34.6.0.a.1', '68.12.0.e.1', '102.24.0.?', '136.24.0.?', '204.48.1.?', '340.24.0.?', '408.192.3.?', '680.48.0.?', '1020.96.3.?', '2040.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 289], [5, 6, 18496], [17, 162, 320]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56817033270797834966743759838', 'prec': 103}, 'szpiro_ratio': 5.651652257484343, '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, 2, 0, -1, 0, 2, 0, 1, 0, -6, 0, -2, 0, -2, 0, 0, 0, 8, 0], 'aplist': [0, 2, -1, 2, -6, -2, 0, 8, -6, -6, 2, 2, 6, -4, -12, -6, 0, 2, 8, -6, -2, -10, 12, 6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 92480, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '92480.dn', 'trace_hash': 1541848789104675169}
• 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': '0.0023602315481088257236382454653', 'prec': 110}, 'conductor': 92480, 'gens': [], 'heights': [], 'lmfdb_label': '92480.dn2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.057589816415355474840278241883', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8428741252913751948889037402551525688', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-3955, 0, 1]], 'xcoord_integral_points': [-3955]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '17': 'a'}, 'iwp0': 5, 'lmfdb_label': '92480.dn2'}
• ec_torsion_growth •

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

  
  
  • id: 4319848
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 2]}
  • id: 4319849
    {'degree': 2, 'field': [34, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [6]}
  • id: 4319850
    {'degree': 4, 'field': [17, 0, -8, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [4]}
  • id: 4319851
    {'degree': 4, 'field': [38, 4, -3, -2, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 6]}
  • id: 4319852
    {'degree': 6, 'field': [-117912, 0, 8092, 0, -34, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [6]}
  • id: 4319854
    {'degree': 8, 'field': [16, 0, 0, 0, 9, 0, 0, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 4]}
  • id: 4319855
    {'degree': 8, 'field': [289, 0, 204, 0, 55, 0, -4, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [12]}
  • id: 4319853
    {'degree': 8, 'field': [4096, 0, -2208, 0, -452, 0, -8, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 4]}
  • id: 4319857
    {'degree': 12, 'field': [16696, 8688, -16372, 15960, -9114, 420, 1345, -1110, 81, 120, -13, -6, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 6]}
  • id: 4319856
    {'degree': 12, 'field': [1582315027, -281981634, 302658137, -42158670, 23111136, -2487762, 912541, -72630, 19716, -1050, 221, -6, 1], 'lmfdb_label': '92480.dn2', 'torsion': [3, 6]}
  • id: 4319861
    {'degree': 16, 'field': [1, 0, 0, 0, 17, 0, 0, 0, -32, 0, 0, 0, 17, 0, 0, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 12]}
  • id: 4319859
    {'degree': 16, 'field': [104, 976, 3472, 6240, 7382, 5948, 3494, 1336, 101, -68, -76, -44, 24, 16, -2, -4, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 8]}
  • id: 4319858
    {'degree': 16, 'field': [65536, 0, 0, 0, 134032, 0, 0, 0, 11073, 0, 0, 0, 242, 0, 0, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [4, 4]}
  • id: 4319860
    {'degree': 16, 'field': [583696, 0, 1910144, 0, 334712, 0, 11680, 0, 13481, 0, 1480, 0, -18, 0, 24, 0, 1], 'lmfdb_label': '92480.dn2', 'torsion': [2, 12]}
  • id: 4319862
    {'degree': 18, 'field': [6129283, -16066410, 14455269, -2411800, 692379, -1793772, 260839, 138204, 163725, -14312, -20844, -11964, 750, 1110, 339, -40, -18, 0, 1], 'lmfdb_label': '92480.dn2', '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: 2265499
    {'conductor': 92480, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '92480.dn2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2265500
    {'conductor': 92480, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '92480.dn2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2265501
    {'conductor': 92480, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '92480.dn2', 'prime': 17, 'reduction_type': 0, '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: 2273089
    {'adelic_gens': [[1019, 2016, 1008, 1751], [2017, 24, 2016, 25], [1, 12, 12, 145], [224, 2019, 1365, 374], [21, 4, 1940, 2021], [1529, 2016, 0, 2039], [15, 22, 1394, 1691], [7, 24, 492, 1687], [681, 4, 700, 81], [1, 24, 0, 1], [1, 0, 24, 1]], 'adelic_image': '2040.384.9.?', 'conductor': 92480, 'lmfdb_label': '92480.dn2', 'prime': 0}
  • id: 374916
    {'conductor': 92480, 'elladic_image': '8.12.0.23', 'lmfdb_label': '92480.dn2', 'modell_image': '2B', 'prime': 2}
  • id: 374917
    {'conductor': 92480, 'elladic_image': '3.4.0.1', 'lmfdb_label': '92480.dn2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 92480.dn does not appear in ec_padic