Elliptic curve data - 372645.bm2

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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': '372645bm', 'Clabel': '372645bm3', 'Cnumber': 3, 'abc_quality': 0.9865300814902173, 'absD': 20941477883998430075655975, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 21840, 'ainvs': [1, -1, 1, -3491685203, 79415238017756], 'analytic_rank': 1, 'bad_primes': [3, 5, 7, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 372645, 'degree': 198180864, 'elladic_images': ['8.12.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.0640180594436527270822658009', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 38, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [11372424889583066401, 50586128775], 'lmfdb_iso': '372645.bm', 'lmfdb_label': '372645.bm2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -46850, 3883592], 'min_quad_twist_disc': 273, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '28.12.0-4.c.1.1', '48.24.0-8.n.1.5', '56.24.0-8.n.1.9', '80.24.0.?', '120.24.0.?', '156.12.0.?', '208.24.0.?', '240.48.0.?', '312.24.0.?', '336.48.0.?', '520.24.0.?', '560.48.0.?', '624.48.0.?', '840.48.0.?', '1040.48.0.?', '1092.24.0.?', '1456.48.0.?', '1560.48.0.?', '1680.96.0.?', '2184.48.0.?', '3120.96.0.?', '3640.48.0.?', '4368.96.0.?', '7280.96.0.?', '10920.96.0.?', '21840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.0964993068865828631823848329', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 74529], [3, 6, 41405], [5, 6, 74529], [7, 32, 7605], [13, 98, 2205]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2592821618511728608052230899', 'prec': 100}, 'szpiro_ratio': 6.043985672232324, '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, -1, 0, 0, 3, 0, 1, 4, 0, 0, 0, 0, -1, 2, 0, -4, 1], 'aplist': [-1, 0, -1, 0, 4, 0, 2, -4, 0, 2, 8, 2, 6, -4, 0, 2, -12, -14, -4, 0, 10, 0, 12, 6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 372645, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '372645.bm', 'trace_hash': 1749233832790145052}
• 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': '0.00029514726615339956895118885629', 'prec': 113}, 'conductor': 372645, 'gens': [[12750, 6073822, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0964993068865828631823848329', 'prec': 100}], 'lmfdb_label': '372645.bm2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.060111540261045616548364908364', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9017347724208624807683983077502189225', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[136683, -136687, 2]], 'xcoord_integral_points': [12750]}
• lmfdb_label 372645.bm2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15463536
    {'degree': 2, 'field': [-68, -1, 1], 'lmfdb_label': '372645.bm2', 'torsion': [4]}
  • id: 15463535
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [2, 2]}
  • id: 15463537
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [4]}
  • id: 15463540
    {'degree': 4, 'field': [-26, -143, -55, -1, 1], 'lmfdb_label': '372645.bm2', 'torsion': [8]}
  • id: 15463538
    {'degree': 4, 'field': [64, 0, -23, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [2, 4]}
  • id: 15463539
    {'degree': 4, 'field': [2794, 166, -165, -2, 1], 'lmfdb_label': '372645.bm2', 'torsion': [8]}
  • id: 15463543
    {'degree': 8, 'field': [10816, 0, -7852, 0, 1473, 0, -82, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [2, 8]}
  • id: 15463544
    {'degree': 8, 'field': [16403, -21072, -6977, 713, 501, 19, -34, -3, 1], 'lmfdb_label': '372645.bm2', 'torsion': [6]}
  • id: 15463542
    {'degree': 8, 'field': [42025, 0, 11732, 0, 606, 0, -28, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [8]}
  • id: 15463541
    {'degree': 8, 'field': [76991866, -175532, 158006, 35044, -17501, -28, 14, -4, 1], 'lmfdb_label': '372645.bm2', 'torsion': [2, 4]}
  • id: 15463551
    {'degree': 16, 'field': [-1538266383, -1329302556, -154064871, 164901438, -104181039, -5242314, 27968340, -5234688, 418619, 319068, -123206, -18146, 5355, 536, -115, -6, 1], 'lmfdb_label': '372645.bm2', 'torsion': [12]}
  • id: 15463549
    {'degree': 16, 'field': [731025, 0, -241211496, 0, 46768960, 0, -4143153, 0, 525672, 0, -53935, 0, 2625, 0, -78, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [2, 6]}
  • id: 15463546
    {'degree': 16, 'field': [2244004, 0, -1611624, 0, 650080, 0, 57492, 0, 24165, 0, -720, 0, -86, 0, -12, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [2, 8]}
  • id: 15463550
    {'degree': 16, 'field': [6806881, 0, -16714385, 0, 2879002, 0, 2912084, 0, -1155259, 0, 25256, 0, 1582, 0, -65, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [12]}
  • id: 15463547
    {'degree': 16, 'field': [506250000, 0, -5163750000, 0, 10310287500, 0, -1689052500, 0, 105160725, 0, -3169800, 0, 48735, 0, -360, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [16]}
  • id: 15463548
    {'degree': 16, 'field': [903687890625, 0, 60245859375, 0, 1915509375, 0, 16477500, 0, -185900, 0, 16900, 0, 2015, 0, 65, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [16]}
  • id: 15463545
    {'degree': 16, 'field': [5927747430161956, 0, -24299542075368, 0, -2657600710880, 0, 4612665492, 0, 465251109, 0, -105552, 0, -35030, 0, -12, 0, 1], 'lmfdb_label': '372645.bm2', 'torsion': [4, 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: 9221776
    {'conductor': 372645, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '372645.bm2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9221777
    {'conductor': 372645, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '372645.bm2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9221778
    {'conductor': 372645, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '372645.bm2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9221779
    {'conductor': 372645, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '372645.bm2', 'prime': 13, '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: 3983114
    {'adelic_gens': [[7264, 21835, 45, 14], [1, 16, 0, 1], [21825, 16, 21824, 17], [10072, 21839, 6641, 21830], [3119, 21824, 3112, 21711], [1, 16, 5468, 5589], [15, 2, 21742, 21827], [1, 0, 16, 1], [5, 4, 21836, 21837], [2738, 16387, 19135, 10942], [4381, 16, 12848, 21525]], 'adelic_image': '21840.192.1.?', 'conductor': 372645, 'lmfdb_label': '372645.bm2', 'prime': 0}
  • id: 1278459
    {'conductor': 372645, 'elladic_image': '8.12.0.5', 'lmfdb_label': '372645.bm2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 372645.bm does not appear in ec_padic