Elliptic curve data - 247962.ba1

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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': '247962ba', 'Clabel': '247962ba2', 'Cnumber': 2, 'abc_quality': 0.9506162437519526, 'absD': 1270498468190094, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 58344, 'ainvs': [1, 1, 1, -178319, -29108077], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 247962, 'degree': 3732480, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7850930977861248525371992893', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 26, 'isogeny_degrees': [1, 3], 'jinv': [-25979045828113, 52635726], 'lmfdb_iso': '247962.ba', 'lmfdb_label': '247962.ba1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -617, -5961], 'min_quad_twist_disc': 17, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '51.8.0-3.a.1.1', '1144.2.0.?', '3432.8.0.?', '58344.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36848642575801681241243198036', 'prec': 103}, 'szpiro_ratio': 3.855645094280743, '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, 3, -1, -5, 1, 1, 3, 1, -1, 1, -5, -3, 1, 0, 1, 2, 3], 'aplist': [1, -1, 3, -5, 1, 1, 0, 2, -3, 3, -8, 10, 3, 5, 12, -6, -9, 13, 5, -6, 7, 10, 6, 0, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 247962, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '247962.ba', 'trace_hash': 1629434705076519415}
• 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': '0.028150611673046335005148385625', 'prec': 107}, 'conductor': 247962, 'gens': [], 'heights': [], 'lmfdb_label': '247962.ba1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11614951853356223588843584231', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1813826672082404919836903233302882621', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 247962.ba1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10676926
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '247962.ba1', 'torsion': [3]}
  • id: 10676927
    {'degree': 3, 'field': [2, 6, -1, 1], 'lmfdb_label': '247962.ba1', 'torsion': [2]}
  • id: 10676929
    {'degree': 6, 'field': [236, -372, 72, -1, -9, -3, 1], 'lmfdb_label': '247962.ba1', 'torsion': [3]}
  • id: 10676930
    {'degree': 6, 'field': [627, 81, 532, -41, 50, -1, 1], 'lmfdb_label': '247962.ba1', 'torsion': [6]}
  • id: 10676928
    {'degree': 6, 'field': [1144, 0, 289, 0, 34, 0, 1], 'lmfdb_label': '247962.ba1', 'torsion': [2, 2]}
  • id: 10676931
    {'degree': 12, 'field': [-42516804096, 17354797824, -3842506304, -45676800, -128892512, -4511136, -7402504, -241920, -37828, -1848, -14, 0, 1], 'lmfdb_label': '247962.ba1', 'torsion': [4]}
  • id: 10676932
    {'degree': 12, 'field': [7804, -1128, 6516, -9520, 1860, 2832, 65, -726, 15, 100, -9, -6, 1], 'lmfdb_label': '247962.ba1', 'torsion': [3, 3]}
  • id: 10676933
    {'degree': 12, 'field': [1015729, -807378, 1172909, -852906, 738018, -393498, 164305, -29286, 8430, -750, 161, -6, 1], 'lmfdb_label': '247962.ba1', 'torsion': [2, 6]}
  • id: 10676935
    {'degree': 18, 'field': [-205480288, 99612000, 324496656, 158833896, 35522592, 27930444, -29428776, 2201538, -2171862, 407615, 275139, -50562, 3110, -936, 132, 56, 0, -3, 1], 'lmfdb_label': '247962.ba1', 'torsion': [6]}
  • id: 10676934
    {'degree': 18, 'field': [322378265340703, -102898597012926, 48848955942930, 136108217675, 2689488813117, -154961965590, -41251238344, 1200589599, 19817424, -373303129, 47274159, 13285167, -1861381, -141801, 22341, 1046, -141, -9, 1], 'lmfdb_label': '247962.ba1', 'torsion': [9]}
• 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: 6146116
    {'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '247962.ba1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 6146117
    {'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '247962.ba1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6146118
    {'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '247962.ba1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6146119
    {'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '247962.ba1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 6146120
    {'conductor': 247962, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '247962.ba1', 'prime': 17, '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: 3238181
    {'adelic_gens': [[43759, 10302, 0, 1], [3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [3431, 0, 0, 58343], [44762, 20451, 24463, 39475], [31825, 10302, 13107, 30907], [29173, 10302, 5151, 30907], [40393, 10302, 38811, 30907], [58339, 6, 58338, 7], [1, 6, 0, 1]], 'adelic_image': '58344.16.0.?', 'conductor': 247962, 'lmfdb_label': '247962.ba1', 'prime': 0}
  • id: 895427
    {'conductor': 247962, 'elladic_image': '3.4.0.1', 'lmfdb_label': '247962.ba1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 247962.ba does not appear in ec_padic