Elliptic curve data - 346560.di1

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• 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': '346560di', 'Clabel': '346560di2', 'Cnumber': 2, 'abc_quality': 0.9826442954534543, 'absD': 26712834898919424000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -46173825, 120524330625], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 346560, 'degree': 46448640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1814573249099013945497361619', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2], 'jinv': [882774443450089, 2166000000], 'lmfdb_iso': '346560.di', 'lmfdb_label': '346560.di1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -1998, -35148], 'min_quad_twist_disc': -152, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '380.6.0.?', '2280.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7431473391588205031918070372', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1083], [3, 4, 23104], [5, 6, 69312], [19, 200, 960]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.66951706448676320041937426377', 'prec': 103}, 'szpiro_ratio': 5.061016719106233, '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, -2, 0, 1, 0, -4, 0, -6, 0, -1, 0, 4, 0, 0, 0], 'aplist': [0, -1, 1, -2, -4, -6, 4, 0, 4, 6, 6, 10, -4, -12, 4, -10, 10, -2, 12, -8, -2, -10, -2, 8, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 346560, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '346560.di', 'trace_hash': 1925515977597382388}
• 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': '0.0017243335519944465443691672338', 'prec': 110}, 'conductor': 346560, 'gens': [[2920, 102885, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7431473391588205031918070372', 'prec': 100}], 'lmfdb_label': '346560.di1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11907391803730813029233529882', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3485346335747849224783051756113181246', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[3775, 0, 1]], 'xcoord_integral_points': [2920, 3775]}
• lmfdb_label 346560.di1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14472084
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '346560.di1', 'torsion': [2, 2]}
  • id: 14472085
    {'degree': 4, 'field': [54, -42, 13, -1, 1], 'lmfdb_label': '346560.di1', 'torsion': [4]}
  • id: 14472088
    {'degree': 8, 'field': [-277248, 0, -40736, 0, -1824, 0, 0, 0, 1], 'lmfdb_label': '346560.di1', 'torsion': [6]}
  • id: 14472086
    {'degree': 8, 'field': [26739, -6948, 3840, -528, 229, 20, 6, -4, 1], 'lmfdb_label': '346560.di1', 'torsion': [2, 4]}
  • id: 14472087
    {'degree': 8, 'field': [81225, 0, -129276, 0, 6108, 0, -108, 0, 1], 'lmfdb_label': '346560.di1', 'torsion': [2, 4]}
  • id: 14472090
    {'degree': 16, 'field': [31505769, 0, -17949996, 0, 8726956, 0, -865956, 0, -104034, 0, -4996, 0, 348, 0, -12, 0, 1], 'lmfdb_label': '346560.di1', 'torsion': [2, 6]}
  • id: 14472089
    {'degree': 16, 'field': [15610269456, -776371392, 3332225952, -1714587696, 363996081, 233556228, -30594480, 16001712, 3962104, -473044, 20350, -124, 16, 272, -32, -4, 1], 'lmfdb_label': '346560.di1', 'torsion': [8]}
• 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: 8576084
    {'conductor': 346560, 'conductor_valuation': 6, 'discriminant_valuation': 25, 'j_denominator_valuation': 7, 'kodaira_symbol': -19, 'lmfdb_label': '346560.di1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8576085
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '346560.di1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8576086
    {'conductor': 346560, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '346560.di1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 8576087
    {'conductor': 346560, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '346560.di1', 'prime': 19, '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: 3827859
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2277, 4, 2276, 5], [2, 1, 1139, 0], [457, 4, 914, 9], [1522, 1, 1519, 0], [1921, 4, 1562, 9], [1996, 289, 1425, 856]], 'adelic_image': '2280.12.0.?', 'conductor': 346560, 'lmfdb_label': '346560.di1', 'prime': 0}
  • id: 1200047
    {'conductor': 346560, 'elladic_image': '2.3.0.1', 'lmfdb_label': '346560.di1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 346560.di does not appear in ec_padic