Elliptic curve data - 174570.bc1

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '174570cd', 'Clabel': '174570cd1', 'Cnumber': 1, 'abc_quality': 1.0518205809017236, 'absD': 711344918408541364360512000, 'adelic_genus': 1, 'adelic_index': 24, 'adelic_level': 30360, 'ainvs': [1, 0, 1, -530395709, 4873550214296], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 174570, 'degree': 137168640, 'elladic_images': ['3.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9182368620994962503273021086', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1], 'jinv': [-1356251428305237257849552687, 58465103838953017536000], 'lmfdb_iso': '174570.bc', 'lmfdb_label': '174570.bc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -530395709, 4873550214296], 'min_quad_twist_disc': 1, 'modell_images': ['3Ns'], 'modm_images': ['3.6.0.b.1', '69.12.0.a.1', '1320.12.0.?', '10120.2.0.?', '30360.24.1.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5028299324347613478367505590', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.1343633081172088276256139006', 'prec': 100}, 'szpiro_ratio': 5.961256658506005, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 1, 1, -1, -1, 3, -1, 1, 1, -1, 1, 4, -3, -1, 1, 6, -1, 3, -1], 'aplist': [-1, 1, -1, 3, -1, 4, 6, 3, 0, -9, 4, 6, -12, -6, 9, 6, -9, -6, -9, -6, 7, -12, 0, -12, -3], 'class_deg': 1, 'class_size': 1, 'conductor': 174570, 'isogeny_matrix': [[1]], 'lmfdb_iso': '174570.bc', 'trace_hash': 1002864927677221314}
• 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': '0.00039505967670887591436817280093', 'prec': 113}, 'conductor': 174570, 'gens': [[23274, 2254702, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5028299324347613478367505590', 'prec': 100}], 'lmfdb_label': '174570.bc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.050357826727128406699017567297', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1630982626939728176975741520903518956', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': [23274]}
• lmfdb_label 174570.bc1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 7741893
    {'degree': 3, 'field': [-18, 7, 0, 1], 'lmfdb_label': '174570.bc1', 'torsion': [2]}
  • id: 7741895
    {'degree': 4, 'field': [-15, 33, -14, -1, 1], 'lmfdb_label': '174570.bc1', 'torsion': [3]}
  • id: 7741894
    {'degree': 4, 'field': [8, 10, 9, -1, 1], 'lmfdb_label': '174570.bc1', 'torsion': [3]}
  • id: 7741896
    {'degree': 6, 'field': [10120, 0, 441, 0, 42, 0, 1], 'lmfdb_label': '174570.bc1', 'torsion': [2, 2]}
  • id: 7741897
    {'degree': 8, 'field': [9, 63, 159, 84, -8, -12, 7, -3, 1], 'lmfdb_label': '174570.bc1', 'torsion': [3, 3]}
  • id: 7741900
    {'degree': 12, 'field': [-4411860, 3015300, -924692, 78292, 118749, -62859, 21827, -4278, 234, 40, -11, -3, 1], 'lmfdb_label': '174570.bc1', 'torsion': [6]}
  • id: 7741899
    {'degree': 12, 'field': [738272, -259762, -2727, -24723, -32288, 3447, 1189, 588, 807, -23, 58, -3, 1], 'lmfdb_label': '174570.bc1', 'torsion': [6]}
  • id: 7741898
    {'degree': 12, 'field': [7666869408, 25431452384, 11930069424, 2403499040, 297218920, 30184312, 1719516, 100936, 17630, 1490, -33, -4, 1], 'lmfdb_label': '174570.bc1', 'torsion': [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: 4318425
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '174570.bc1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4318426
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '174570.bc1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 18}
  • id: 4318427
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '174570.bc1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4318428
    {'conductor': 174570, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '174570.bc1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 4318429
    {'conductor': 174570, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '174570.bc1', 'prime': 23, 'reduction_type': 0, '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: 2788738
    {'adelic_gens': [[15181, 6, 0, 25301], [2, 3, 3, 5], [30355, 6, 30354, 7], [19324, 3, 8277, 30358], [23766, 5, 27727, 6], [4, 3, 15177, 30358], [1, 6, 0, 1], [4, 3, 7587, 30358], [12148, 3, 6069, 30358], [1, 0, 6, 1]], 'adelic_image': '30360.24.1.?', 'conductor': 174570, 'lmfdb_label': '174570.bc1', 'prime': 0}
  • id: 657045
    {'conductor': 174570, 'elladic_image': '3.6.0.1', 'lmfdb_label': '174570.bc1', 'modell_image': '3Ns', 'prime': 3}
• lmfdb_iso 174570.bc does not appear in ec_padic