Elliptic curve data - 17600.dd2

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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': '17600q', 'Clabel': '17600q1', 'Cnumber': 1, 'abc_quality': 0.9501666666067821, 'absD': 1890625000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 440, 'ainvs': [0, -1, 0, 2992, -21238], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 17600, 'degree': 18432, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0446277387306083116646453483', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2], 'jinv': [2961169856, 1890625], 'lmfdb_iso': '17600.dd', 'lmfdb_label': '17600.dd2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 479, 1455], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '20.12.0.d.1', '40.24.0.t.1', '44.12.0-4.a.1.2', '220.24.0.?', '440.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [5, 18, 704], [11, 12, 1600]], 'sha': 4, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.10666480776641453034435037904', 'prec': 107}, 'szpiro_ratio': 3.64419200465712, '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, 0, 0, 2, 0, 1, 0, 1, 0, -2, 0, 0, 0, 2, 0, 0, 0], 'aplist': [0, 2, 0, 2, 1, -2, 2, 0, 2, 2, -4, -6, 6, 6, 6, -6, 0, 6, -2, -4, 10, 8, 14, 10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 17600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '17600.dd', 'trace_hash': 790712652381217729}
• 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': '0.12377925796708144963481946587', 'prec': 103}, 'conductor': 17600, 'gens': [], 'heights': [], 'lmfdb_label': '17600.dd2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.47745722707313706851273669463', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8196578165850965481018935570099360655', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[7, 0, 1]], 'xcoord_integral_points': [7]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '11': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '17600.dd2'}
• ec_torsion_growth •

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

  
  
  • id: 900244
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '17600.dd2', 'torsion': [2, 2]}
  • id: 900245
    {'degree': 4, 'field': [-4, 0, -2, 0, 1], 'lmfdb_label': '17600.dd2', 'torsion': [4]}
  • id: 900248
    {'degree': 8, 'field': [-46875, 0, -2000, 0, -750, 0, 0, 0, 1], 'lmfdb_label': '17600.dd2', 'torsion': [6]}
  • id: 900247
    {'degree': 8, 'field': [1, 0, 0, 0, 3, 0, 0, 0, 1], 'lmfdb_label': '17600.dd2', 'torsion': [2, 4]}
  • id: 900246
    {'degree': 8, 'field': [1156, 0, -684, 0, 201, 0, -24, 0, 1], 'lmfdb_label': '17600.dd2', 'torsion': [2, 4]}
  • id: 900250
    {'degree': 16, 'field': [-54500, 220000, -368400, 362400, -272504, 180336, -96088, 38832, -13942, 4752, -772, 72, -122, -48, 12, -4, 1], 'lmfdb_label': '17600.dd2', 'torsion': [8]}
  • id: 900249
    {'degree': 16, 'field': [6561, 0, 0, 0, 1701, 0, 0, 0, 616, 0, 0, 0, 21, 0, 0, 0, 1], 'lmfdb_label': '17600.dd2', 'torsion': [4, 4]}
  • id: 900251
    {'degree': 16, 'field': [159896025, -316377900, 313000200, -207722700, 102119724, -38101044, 10414232, -2009140, 267394, -6652, -11880, 3860, -276, -52, 8, -4, 1], 'lmfdb_label': '17600.dd2', 'torsion': [2, 6]}
• 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: 393515
    {'conductor': 17600, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '17600.dd2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 393516
    {'conductor': 17600, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '17600.dd2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 393517
    {'conductor': 17600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '17600.dd2', 'prime': 11, '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: 1781350
    {'adelic_gens': [[3, 8, 10, 27], [1, 0, 8, 1], [433, 8, 432, 9], [1, 8, 0, 1], [109, 436, 55, 439], [219, 436, 438, 431], [263, 438, 0, 439], [321, 8, 202, 17], [5, 8, 48, 77]], 'adelic_image': '440.48.0.?', 'conductor': 17600, 'lmfdb_label': '17600.dd2', 'prime': 0}
  • id: 82444
    {'conductor': 17600, 'elladic_image': '4.6.0.5', 'lmfdb_label': '17600.dd2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 17600.dd does not appear in ec_padic