Elliptic curve data - 290400.db1

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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': '290400db', 'Clabel': '290400db1', 'Cnumber': 1, 'abc_quality': 0.9631437603910471, 'absD': 526153617000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, -1, 0, -297458, 62532912], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 290400, 'degree': 1658880, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8283520644304664018054933337', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 79, 'isogeny_degrees': [1, 2], 'jinv': [1643032000, 297], 'lmfdb_iso': '290400.db', 'lmfdb_label': '290400.db1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -98, 408], 'min_quad_twist_disc': 220, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9889216374928423950973846570', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 9075], [3, 4, 96800], [5, 14, 11616], [11, 72, 2400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52188811846574171223447418262', 'prec': 107}, 'szpiro_ratio': 3.9289795797437876, '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, 0, 0, 2, 0, 1, 0, 0, 0, 4, 0, 0, 0, -2, 0, 0, 0], 'aplist': [0, -1, 0, 2, 0, 4, -2, 0, -2, 2, 4, -6, 6, 12, -6, 0, 0, 0, 4, 10, 2, 2, 4, -14, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 290400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '290400.db', 'trace_hash': 486190405723408261}
• 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': '0.025817463689203577796238068714', 'prec': 107}, 'conductor': 290400, 'gens': [[709, 31339, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9889216374928423950973846570', 'prec': 100}], 'lmfdb_label': '290400.db1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.50515637231337472458988314570', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.0601167353528426393405224042640079721', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[312, 0, 1]], 'xcoord_integral_points': [312]}
• lmfdb_label 290400.db1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12326602
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '290400.db1', 'torsion': [2, 2]}
  • id: 12326603
    {'degree': 4, 'field': [44, -4, 15, -2, 1], 'lmfdb_label': '290400.db1', 'torsion': [4]}
  • id: 12326606
    {'degree': 8, 'field': [-47406, -21012, -24548, -5712, -2220, -364, 6, 0, 1], 'lmfdb_label': '290400.db1', 'torsion': [6]}
  • id: 12326604
    {'degree': 8, 'field': [1, 0, -29, 0, 6, 0, -29, 0, 1], 'lmfdb_label': '290400.db1', 'torsion': [2, 4]}
  • id: 12326605
    {'degree': 8, 'field': [4224, -2112, 808, -440, 206, -8, 23, -2, 1], 'lmfdb_label': '290400.db1', 'torsion': [2, 4]}
  • id: 12326608
    {'degree': 16, 'field': [-403742844, 550818864, 719021520, -167600016, -14948352, -46167840, 10916928, -882288, 290532, 348744, -37488, 16200, 148, -112, 80, -8, 1], 'lmfdb_label': '290400.db1', 'torsion': [2, 6]}
  • id: 12326607
    {'degree': 16, 'field': [152321334, 3711312, 257828296, 122687224, 82295920, 10903720, 3790276, -1028600, 181845, -243576, 39168, -8816, 1570, -296, 76, -8, 1], 'lmfdb_label': '290400.db1', '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: 7193270
    {'conductor': 290400, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '290400.db1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7193271
    {'conductor': 290400, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '290400.db1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7193272
    {'conductor': 290400, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '290400.db1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7193273
    {'conductor': 290400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '290400.db1', '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: 3493355
    {'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [26, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 290400, 'lmfdb_label': '290400.db1', 'prime': 0}
  • id: 1028450
    {'conductor': 290400, 'elladic_image': '8.6.0.4', 'lmfdb_label': '290400.db1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 290400.db does not appear in ec_padic