Elliptic curve data - 3850.ba2

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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': '3850o', 'Clabel': '3850o2', 'Cnumber': 2, 'abc_quality': 0.9755108563325865, 'absD': 129696875000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 1, 1, -365838, 85016531], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 3850, 'degree': 27648, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6529313687959686047573499283', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [346553430870203929, 8300600], 'lmfdb_iso': '3850.ba', 'lmfdb_label': '3850.ba2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14634, 680132], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '56.6.0.a.1', '132.24.0.?', '168.24.0.?', '220.6.0.?', '660.48.0.?', '840.48.0.?', '1848.48.0.?', '3080.12.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 175], [3, 2, 275], [5, 18, 154], [7, 8, 550], [11, 12, 350]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.84821241257891841745697026169', 'prec': 103}, 'szpiro_ratio': 6.061589254027101, '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, 1, 2, 1, 0, 2, -1, 1, 1, 0, -1, 2, -2, -1, 0, 1, 6, 1, 2, 0], 'aplist': [1, 2, 0, -1, -1, -2, 6, 2, 6, 0, 8, 4, 12, 4, -12, 0, 0, 2, -8, 12, -2, 14, -12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 3850, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '3850.ba', 'trace_hash': 571277989873125725}
• 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': '0.036667563700722016297783652513', 'prec': 107}, 'conductor': 3850, 'gens': [], 'heights': [], 'lmfdb_label': '3850.ba2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.75555259385986311309980007879', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5333155631591786785988004727227939659', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1395, -1399, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [2, 0], '5': 'a', '7': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3850.ba2'}
• ec_torsion_growth •

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

  
  
  • id: 200407
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 2]}
  • id: 200408
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3850.ba2', 'torsion': [6]}
  • id: 200409
    {'degree': 4, 'field': [14, 0, -1, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [4]}
  • id: 200410
    {'degree': 4, 'field': [155, 30, -29, -2, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 6]}
  • id: 200411
    {'degree': 6, 'field': [919, 17, -125, 50, 5, -3, 1], 'lmfdb_label': '3850.ba2', 'torsion': [6]}
  • id: 200414
    {'degree': 8, 'field': [251, -194, 230, -66, 19, 14, 0, -4, 1], 'lmfdb_label': '3850.ba2', 'torsion': [12]}
  • id: 200412
    {'degree': 8, 'field': [33926, 61624, 19924, 3656, -331, -276, -6, -4, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 4]}
  • id: 200413
    {'degree': 8, 'field': [38416, 0, -8288, 0, 1233, 0, -58, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 4]}
  • id: 200415
    {'degree': 12, 'field': [8464, 11316, 7343, 3075, -1680, -849, 739, -348, 45, -15, 8, -3, 1], 'lmfdb_label': '3850.ba2', 'torsion': [3, 6]}
  • id: 200416
    {'degree': 12, 'field': [759600, 2844000, 8226000, -4385280, 434200, 301200, -35024, -10776, 2355, 270, -65, -6, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 6]}
  • id: 200418
    {'degree': 16, 'field': [26009, -124824, -1551040, -2063264, 31090, 1738464, 532524, -275744, -137309, -10640, 8076, 3808, 278, -168, -36, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 12]}
  • id: 200417
    {'degree': 16, 'field': [38416, 0, 128772, 0, 235620, 0, -251063, 0, 213749, 0, 5878, 0, 1430, 0, -67, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [8]}
  • id: 200419
    {'degree': 16, 'field': [22667121, 0, 1952010, 0, -1066171, 0, -126790, 0, 36796, 0, 1590, 0, -211, 0, -10, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [2, 12]}
  • id: 200420
    {'degree': 18, 'field': [-15137081, -59584584, -152443032, 12565764, 37483371, -15090495, -7170673, -328848, 516900, 506469, -108768, -118374, -5093, 9657, 1929, -204, -78, 0, 1], 'lmfdb_label': '3850.ba2', 'torsion': [18]}
• 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: 71425
    {'conductor': 3850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3850.ba2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 71426
    {'conductor': 3850, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '3850.ba2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 71427
    {'conductor': 3850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3850.ba2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 71428
    {'conductor': 3850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3850.ba2', '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: 1688962
    {'adelic_gens': [[2521, 12, 5886, 73], [10, 3, 4593, 9232], [6610, 3, 5253, 9232], [11, 2, 9190, 9231], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [1, 12, 0, 1], [6546, 5017, 1925, 386], [3089, 2, 7758, 13], [5543, 9228, 5538, 9167]], 'adelic_image': '9240.96.1.?', 'conductor': 3850, 'lmfdb_label': '3850.ba2', 'prime': 0}
  • id: 19102
    {'conductor': 3850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3850.ba2', 'modell_image': '2B', 'prime': 2}
  • id: 19103
    {'conductor': 3850, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3850.ba2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 3850.ba does not appear in ec_padic