Elliptic curve data - 348480.i1

Formats: - HTML - YAML - JSON - 2025-10-20T18:15:10.953184

• 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': '348480i', 'Clabel': '348480i4', 'Cnumber': 4, 'abc_quality': 0.963342172697873, 'absD': 14056945377052317696000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1320, 'ainvs': [0, 0, 0, -6779388, 3690660688], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 348480, 'degree': 26542080, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9474351678566001803616723055', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [1628514404944, 664335375], 'lmfdb_iso': '348480.i', 'lmfdb_label': '348480.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1556, -13356], 'min_quad_twist_disc': -264, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.7', '44.6.0.c.1', '60.24.0.r.1', '120.48.0.?', '132.24.0.?', '264.48.0.?', '660.48.1.?', '1320.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 5445], [3, 8, 7744], [5, 6, 69696], [11, 72, 2880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39050967647009053497964042302', 'prec': 103}, 'szpiro_ratio': 4.607808669618968, '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, -4, 0, 0, 0, 0, 0, -4, 0, 0, 0, -6, 0, -2, 0], 'aplist': [0, 0, -1, -4, 0, -4, -6, -2, 0, 0, 4, 10, 0, 4, 12, 6, -12, -10, -4, 0, -8, -10, -6, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 348480, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '348480.i', 'trace_hash': 1027724446457072212}
• 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': '0.0027535333548579206078364379456', 'prec': 110}, 'conductor': 348480, 'gens': [], 'heights': [], 'lmfdb_label': '348480.i1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11359297593714919310245627445', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.90874380749719354481965019561530903485', 'prec': 133}, 'tamagawa_product': 32, 'torsion_generators': [[572, 0, 1]], 'xcoord_integral_points': [572]}
• lmfdb_label 348480.i1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14550369
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [6]}
  • id: 14550368
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 2]}
  • id: 14550371
    {'degree': 4, 'field': [49, 0, -74, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 6]}
  • id: 14550370
    {'degree': 4, 'field': [60, 0, -8, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [4]}
  • id: 14550372
    {'degree': 6, 'field': [127776, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [6]}
  • id: 14550375
    {'degree': 8, 'field': [25, 0, -32, 0, 11, 0, -2, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [12]}
  • id: 14550373
    {'degree': 8, 'field': [229, -692, 712, -44, 33, -16, 10, -4, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 4]}
  • id: 14550374
    {'degree': 8, 'field': [2601, 0, -2088, 0, 474, 0, -72, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 4]}
  • id: 14550377
    {'degree': 12, 'field': [20837250, 0, 0, -67500, 0, 0, 7194, 0, 0, -144, 0, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 6]}
  • id: 14550376
    {'degree': 12, 'field': [113635600, 0, -30747552, 0, 3521760, 0, -212936, 0, 7260, 0, -132, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [3, 6]}
  • id: 14550379
    {'degree': 16, 'field': [3025, 0, 11880, 0, 119794, 0, 69996, 0, 12975, 0, 1212, 0, 274, 0, 12, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 12]}
  • id: 14550380
    {'degree': 16, 'field': [32936121, 0, -21076380, 0, 4121394, 0, -5580, 0, -79469, 0, 5660, 0, 294, 0, -40, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [2, 12]}
  • id: 14550378
    {'degree': 16, 'field': [58540725, -46772100, 45331800, -12265200, 9394360, -4140660, 1790040, -258960, -79959, 36900, -8284, -840, 366, -120, 24, 0, 1], 'lmfdb_label': '348480.i1', 'torsion': [8]}
  • id: 14550381
    {'degree': 18, 'field': [1107051275, -4900485150, 3085723575, 3214505910, 5425858845, -1683335610, -1384571454, 109679130, 90753426, -995280, -3250755, -592020, 27165, 26730, 1215, -330, -54, 0, 1], 'lmfdb_label': '348480.i1', '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: 8626305
    {'conductor': 348480, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '348480.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8626306
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '348480.i1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 8626307
    {'conductor': 348480, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '348480.i1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8626308
    {'conductor': 348480, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '348480.i1', 'prime': 11, '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: 3840366
    {'adelic_gens': [[1, 6, 6, 37], [1, 12, 0, 1], [541, 12, 606, 73], [1309, 12, 1308, 13], [606, 397, 605, 386], [671, 1308, 672, 1307], [10, 3, 501, 652], [11, 2, 1270, 1311], [659, 0, 0, 1319], [1309, 1318, 710, 669], [1, 0, 12, 1], [230, 3, 193, 652]], 'adelic_image': '1320.96.1.?', 'conductor': 348480, 'lmfdb_label': '348480.i1', 'prime': 0}
  • id: 1206726
    {'conductor': 348480, 'elladic_image': '2.3.0.1', 'lmfdb_label': '348480.i1', 'modell_image': '2B', 'prime': 2}
  • id: 1206727
    {'conductor': 348480, 'elladic_image': '3.4.0.1', 'lmfdb_label': '348480.i1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 348480.i does not appear in ec_padic