Elliptic curve data - 305942.bv1

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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': '305942bv', 'Clabel': '305942bv3', 'Cnumber': 3, 'abc_quality': 1.087583326356874, 'absD': 42529870187720899264736, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2296, 'ainvs': [1, -1, 1, -99403729, 381358530273], 'analytic_rank': 0, 'bad_primes': [2, 7, 13, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 305942, 'degree': 49766400, 'elladic_images': ['8.12.0.9'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3067928004850408758958235998', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 47, 'isogeny_degrees': [1, 2, 4], 'jinv': [22868021811807457713, 8953460393696], 'lmfdb_iso': '305942.bv', 'lmfdb_label': '305942.bv1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -59134, 5547693], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.p.1', '56.24.0.bp.1', '328.24.0.?', '1148.12.0.?', '2296.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 11767], [3, 2, 43706], [5, 2, 152971], [7, 8, 43706], [13, 14, 23534], [41, 842, 182]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4500067671328869739624419133', 'prec': 100}, 'szpiro_ratio': 5.293080933916371, '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, 0, 1, 2, 0, 1, 1, -3, 2, -4, 0, 1, 1, 0, 1, 6, -3, 0, 2], 'aplist': [1, 0, 2, 1, -4, 1, 6, 0, 8, 10, -8, 6, 0, 4, 8, -6, 8, 10, -4, 8, 2, -8, 0, -18, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 305942, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '305942.bv', 'trace_hash': 1647677796112544648}
• 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': '0.0013420115942088463601496867917', 'prec': 110}, 'conductor': 305942, 'gens': [], 'heights': [], 'lmfdb_label': '305942.bv1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11226830570799465801216894334', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.7360983424796794807301366001562993316', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [[23371, -23375, 2]], 'xcoord_integral_points': []}
• lmfdb_label 305942.bv1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12926876
    {'degree': 2, 'field': [-287, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [4]}
  • id: 12926875
    {'degree': 2, 'field': [-82, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [4]}
  • id: 12926874
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [2, 2]}
  • id: 12926877
    {'degree': 4, 'field': [289, 0, -48, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [2, 4]}
  • id: 12926881
    {'degree': 8, 'field': [-31314, 12126, 21240, 6591, 1026, -57, -9, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [6]}
  • id: 12926879
    {'degree': 8, 'field': [818, 2008, -1164, -1632, 677, 164, -50, -4, 1], 'lmfdb_label': '305942.bv1', 'torsion': [8]}
  • id: 12926880
    {'degree': 8, 'field': [123904, 0, -25463, 0, 2119, 0, -65, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [8]}
  • id: 12926878
    {'degree': 8, 'field': [331916, 78736, 43592, 2688, 2280, -56, 68, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [2, 4]}
  • id: 12926887
    {'degree': 16, 'field': [-21837996, -19399392, 126408708, 15638040, -174674826, -4156254, 58973157, 1454508, -8757510, -319500, 500853, 72924, 8391, -198, -18, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [12]}
  • id: 12926883
    {'degree': 16, 'field': [-5545118, 18521512, -1143724, -28995256, 1045002, 13573328, -492416, -2967032, 159507, 343896, -25976, -21496, 2066, 672, -76, -8, 1], 'lmfdb_label': '305942.bv1', 'torsion': [2, 8]}
  • id: 12926884
    {'degree': 16, 'field': [8773444, 0, 31743672, 0, 21110000, 0, 6131828, 0, 945461, 0, 81952, 0, 3978, 0, 100, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [2, 8]}
  • id: 12926882
    {'degree': 16, 'field': [438734916, -391773984, 174919808, 22050112, -18140804, 6535648, 1950592, 327488, 225405, 60872, 1568, -3248, -54, -56, 0, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [4, 4]}
  • id: 12926886
    {'degree': 16, 'field': [27891672064, 0, -12326825984, 0, 2216058880, 0, -215839904, 0, 12757984, 0, -484424, 0, 11716, 0, -164, 0, 1], 'lmfdb_label': '305942.bv1', 'torsion': [12]}
  • id: 12926885
    {'degree': 16, 'field': [109547823268, -66379857024, 1861831712, 2685424404, -3730496270, 335246460, 11452313, -36860496, 4472896, 1120386, -107503, 17400, 8881, -114, -130, 0, 1], 'lmfdb_label': '305942.bv1', '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: 7577802
    {'conductor': 305942, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '305942.bv1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 7577803
    {'conductor': 305942, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '305942.bv1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 7577804
    {'conductor': 305942, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '305942.bv1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 7577805
    {'conductor': 305942, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '305942.bv1', 'prime': 41, '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: 3586621
    {'adelic_gens': [[1511, 0, 0, 2295], [288, 1107, 697, 1846], [1928, 1681, 2009, 1272], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2289, 8, 2288, 9], [7, 6, 2290, 2291], [124, 1681, 615, 1518]], 'adelic_image': '2296.48.0.?', 'conductor': 305942, 'lmfdb_label': '305942.bv1', 'prime': 0}
  • id: 1076383
    {'conductor': 305942, 'elladic_image': '8.12.0.9', 'lmfdb_label': '305942.bv1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 305942.bv does not appear in ec_padic