Elliptic curve data - 3360.d1

Formats: - HTML - YAML - JSON - 2026-06-19T09:06:50.392430

• 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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3360b', 'Clabel': '3360b3', 'Cnumber': 3, 'abc_quality': 1.0388414614464727, 'absD': 37340352000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, -1, 0, -324016, 71098216], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3360, 'degree': 15360, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6048876369901498456896561870', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 4], 'jinv': [7347751505995469192, 72930375], 'lmfdb_iso': '3360.d', 'lmfdb_label': '3360.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -324016, 71098216], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '40.12.0-4.c.1.2', '56.12.0-4.c.1.5', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8292911665151505710252455048', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15], [3, 4, 224], [5, 6, 224], [7, 8, 480]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0850272515701908636267320959', 'prec': 100}, 'szpiro_ratio': 6.118363187503423, '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, -2, 0, 1, 0, -2, 0, -4, 0], 'aplist': [0, -1, -1, -1, 4, -2, -2, -4, 0, 10, 0, 6, -10, -8, -4, 6, 0, 10, -8, -8, -2, 4, -12, 6, 6], '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.d', 'trace_hash': 931454640829644045}
• 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': '0.040365683472217177231518254315', 'prec': 107}, 'conductor': 3360, 'gens': [[7245, 589127, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8292911665151505710252455048', 'prec': 100}], 'lmfdb_label': '3360.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.80689025890866242898925449544', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7552442587560255524019618368509575552', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[329, 0, 1]], 'xcoord_integral_points': [329]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3360.d1'}
• ec_torsion_growth •

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

  
  
  • id: 174852
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [2, 2]}
  • id: 174853
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [4]}
  • id: 174854
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [4]}
  • id: 174855
    {'degree': 4, 'field': [25, 0, -20, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [2, 4]}
  • id: 174859
    {'degree': 8, 'field': [-75, 0, 496, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [6]}
  • id: 174858
    {'degree': 8, 'field': [900, 0, 720, 0, 456, 0, 24, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [8]}
  • id: 174857
    {'degree': 8, 'field': [2025, 0, -2400, 0, 520, 0, -40, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [8]}
  • id: 174856
    {'degree': 8, 'field': [14400, 0, 0, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [2, 4]}
  • id: 174863
    {'degree': 16, 'field': [-50533079, 110879612, -36174936, -62444668, 35790562, 10239720, -7720804, -768332, 663960, 46540, -23992, -3108, 778, 152, -48, -4, 1], 'lmfdb_label': '3360.d1', 'torsion': [2, 6]}
  • id: 174862
    {'degree': 16, 'field': [-2179439, 3596040, 4980020, -12885600, 4623044, 5132400, -3202860, -722400, 686141, 42000, -70680, -840, 3794, 0, -100, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [2, 8]}
  • id: 174864
    {'degree': 16, 'field': [-20214, -234408, -765836, -77728, 1404712, -13320, -711204, -23232, 112440, 2700, -3012, 192, -282, 12, -8, -4, 1], 'lmfdb_label': '3360.d1', 'torsion': [12]}
  • id: 174865
    {'degree': 16, 'field': [1, 0, -8, 0, 58, 0, 320, 0, -817, 0, 320, 0, 58, 0, -8, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [12]}
  • id: 174861
    {'degree': 16, 'field': [390726, -278712, 347004, -157248, 134898, -80544, 48960, -20196, 7471, -2876, 1684, -428, -50, 28, 16, -8, 1], 'lmfdb_label': '3360.d1', 'torsion': [2, 8]}
  • id: 174860
    {'degree': 16, 'field': [923521, 0, 342116, 0, 63310, 0, 31184, 0, 4819, 0, -976, 0, -50, 0, -4, 0, 1], 'lmfdb_label': '3360.d1', 'torsion': [4, 4]}
• 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: 61051
    {'conductor': 3360, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3360.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 61052
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3360.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 61053
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3360.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 61054
    {'conductor': 3360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3360.d1', 'prime': 7, '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: 1685810
    {'adelic_gens': [[176, 3, 5, 2], [833, 8, 832, 9], [1, 0, 8, 1], [736, 323, 529, 558], [1, 8, 0, 1], [1, 4, 4, 17], [241, 8, 124, 33], [7, 6, 834, 835], [104, 517, 525, 524], [284, 1, 583, 6]], 'adelic_image': '840.48.0.?', 'conductor': 3360, 'lmfdb_label': '3360.d1', 'prime': 0}
  • id: 16802
    {'conductor': 3360, 'elladic_image': '4.6.0.1', 'lmfdb_label': '3360.d1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 111498
    {'lmfdb_iso': '3360.d', 'p': 11, 'prec': 20, 'unit': 27420373111208336276, 'val': 1}
  • id: 111504
    {'lmfdb_iso': '3360.d', 'p': 13, 'prec': 20, 'unit': 91263551745012167725, 'val': 1}
  • id: 111506
    {'lmfdb_iso': '3360.d', 'p': 17, 'prec': 20, 'unit': 121080485330109263391540, 'val': 1}
  • id: 111507
    {'lmfdb_iso': '3360.d', 'p': 19, 'prec': 20, 'unit': 1329276782381065959064877, 'val': 1}
  • id: 111503
    {'lmfdb_iso': '3360.d', 'p': 29, 'prec': 20, 'unit': 475960529417766400755737165, 'val': 1}
  • id: 111499
    {'lmfdb_iso': '3360.d', 'p': 37, 'prec': 20, 'unit': 514971967425961919148060189966, 'val': 1}
  • id: 111501
    {'lmfdb_iso': '3360.d', 'p': 41, 'prec': 20, 'unit': 1360572830111706784568635958535, 'val': 1}
  • id: 111502
    {'lmfdb_iso': '3360.d', 'p': 43, 'prec': 20, 'unit': 985766373257269042016376939007, 'val': 1}
  • id: 111505
    {'lmfdb_iso': '3360.d', 'p': 47, 'prec': 20, 'unit': 41324691980211908827060336712912, 'val': 1}
  • id: 111508
    {'lmfdb_iso': '3360.d', 'p': 53, 'prec': 20, 'unit': 548173497134397012476982262252022, 'val': 1}
  • id: 111513
    {'lmfdb_iso': '3360.d', 'p': 61, 'prec': 20, 'unit': 69829161519503576555464674684388, 'val': 1}
  • id: 111497
    {'lmfdb_iso': '3360.d', 'p': 67, 'prec': 20, 'unit': 35891243057980956549643810715308589, 'val': 1}
  • id: 111500
    {'lmfdb_iso': '3360.d', 'p': 71, 'prec': 20, 'unit': 19809995626716315289638270076106308, 'val': 1}
  • id: 111509
    {'lmfdb_iso': '3360.d', 'p': 73, 'prec': 20, 'unit': 110539587034269378010575276346317961, 'val': 1}
  • id: 111512
    {'lmfdb_iso': '3360.d', 'p': 79, 'prec': 20, 'unit': 113847980326128365684492469504593181, 'val': 1}
  • id: 111510
    {'lmfdb_iso': '3360.d', 'p': 83, 'prec': 20, 'unit': 2394655751657597643795580433713419921, 'val': 1}
  • id: 111511
    {'lmfdb_iso': '3360.d', 'p': 89, 'prec': 20, 'unit': 2358798534556972799969138309592798623, 'val': 1}
  • id: 111496
    {'lmfdb_iso': '3360.d', 'p': 97, 'prec': 20, 'unit': 36796775298364992168880655657712685484, 'val': 1}