Elliptic curve data - 14450.d1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '14450l', 'Clabel': '14450l2', 'Cnumber': 2, 'abc_quality': 1.050775872125697, 'absD': 120687845000, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [1, 1, 0, -36275, -2674475], 'analytic_rank': 0, 'bad_primes': [2, 5, 17], 'class_deg': 15, 'class_size': 4, 'cm': 0, 'conductor': 14450, 'degree': 30240, 'elladic_images': ['8.2.0.1', '3.4.0.1', '5.12.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2398132202182813530685645474', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3, 5, 15], 'jinv': [-349938025, 8], 'lmfdb_iso': '14450.d', 'lmfdb_label': '14450.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -126, -552], 'min_quad_twist_disc': 17, 'modell_images': ['3B', '5B.4.2'], 'modm_images': ['3.4.0.a.1', '5.12.0.a.2', '8.2.0.a.1', '15.96.1.a.1', '24.8.0.a.1', '40.24.1.bx.2', '51.8.0-3.a.1.1', '85.24.0.?', '120.192.9.?', '255.192.1.?', '408.16.0.?', '680.48.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3, 5], 'nonmax_rad': 30, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 7225], [3, 2, 7225], [5, 14, 578], [17, 146, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.71327275595452681192312253928', 'prec': 97}, 'szpiro_ratio': 4.500763612283086, '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, 0, 1, -2, -1, -2, 0, 3, -1, -4, 2, 0, 1, 0, 2, 5, 0], 'aplist': [-1, -1, 0, -2, 3, -4, 0, 5, -6, 0, -2, -2, 3, -4, 12, 6, 0, -2, -13, -12, -11, 10, -9, 15, -2], 'class_deg': 15, 'class_size': 4, 'conductor': 14450, 'isogeny_matrix': [[1, 15, 3, 5], [15, 1, 5, 3], [3, 5, 1, 15], [5, 3, 15, 1]], 'lmfdb_iso': '14450.d', 'trace_hash': 1807096553698748393}
• 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': '0.083774514518764027967928092031', 'prec': 97}, 'conductor': 14450, 'gens': [], 'heights': [], 'lmfdb_label': '14450.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17296791452473675078805590014', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '0.51890374357421025236416770043187505331', 'prec': 127}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 1], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '14450.d1'}
• ec_torsion_growth •

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

  
  
  • id: 745322
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '14450.d1', 'torsion': [3]}
  • id: 745323
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '14450.d1', 'torsion': [2]}
  • id: 745324
    {'degree': 4, 'field': [101, -21, 21, -1, 1], 'lmfdb_label': '14450.d1', 'torsion': [5]}
  • id: 745325
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '14450.d1', 'torsion': [2, 2]}
  • id: 745326
    {'degree': 6, 'field': [26, -183, 51, 13, -9, -3, 1], 'lmfdb_label': '14450.d1', 'torsion': [3]}
  • id: 745327
    {'degree': 6, 'field': [1555, 25, 500, -33, 42, -1, 1], 'lmfdb_label': '14450.d1', 'torsion': [6]}
  • id: 745328
    {'degree': 8, 'field': [1021, 543, 372, 85, 211, -15, 28, -1, 1], 'lmfdb_label': '14450.d1', 'torsion': [15]}
  • id: 745329
    {'degree': 10, 'field': [-2219, -2245, 5495, -2180, 35, -287, 165, 40, -15, -5, 1], 'lmfdb_label': '14450.d1', 'torsion': [5]}
  • id: 745330
    {'degree': 12, 'field': [-575228, -853944, 88048, 135448, -438, -27932, 8468, -292, 413, -194, 16, -2, 1], 'lmfdb_label': '14450.d1', 'torsion': [4]}
  • id: 745331
    {'degree': 12, 'field': [676, -4758, 32163, -10009, 5214, -2709, 131, 6, 69, 1, 18, -3, 1], 'lmfdb_label': '14450.d1', 'torsion': [3, 3]}
  • id: 745332
    {'degree': 12, 'field': [58901, 25239, 1444, -9810, 3485, 2294, -1599, 321, 115, -55, 9, -4, 1], 'lmfdb_label': '14450.d1', 'torsion': [10]}
  • id: 745333
    {'degree': 12, 'field': [6525811, 219154, 2451757, -99470, 417176, -30670, 41325, -3010, 2356, -130, 73, -2, 1], 'lmfdb_label': '14450.d1', 'torsion': [2, 6]}
  • id: 745335
    {'degree': 18, 'field': [-29276, -70998, -1373424, -22423, 1536315, -187140, -792658, 202323, 220263, -77749, -37149, 16671, 3995, -2331, -201, 190, 0, -9, 1], 'lmfdb_label': '14450.d1', 'torsion': [6]}
  • id: 745334
    {'degree': 18, 'field': [348290389, -177376719, 288152127, -172128826, 95971932, -38161158, 7731870, 3026094, -2327955, 698605, 14955, -61026, 13380, 792, -492, 44, 33, -9, 1], 'lmfdb_label': '14450.d1', 'torsion': [9]}
  • id: 745336
    {'degree': 20, 'field': [244140625, 0, -68359375, 0, 8984375, 0, 218750, 0, 750625, 0, -302785, 0, 55005, 0, -6930, 0, 615, 0, -35, 0, 1], 'lmfdb_label': '14450.d1', 'torsion': [15]}
• 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: 318031
    {'conductor': 14450, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14450.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 318032
    {'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '14450.d1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 318033
    {'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '14450.d1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1760219
    {'adelic_gens': [[1361, 680, 1360, 681], [1021, 1530, 765, 1531], [1, 0, 1020, 1], [1921, 120, 1920, 1921], [1, 0, 120, 1], [1, 1836, 1020, 1], [1799, 0, 0, 2039], [1361, 1530, 1360, 1], [1, 1632, 0, 1], [1, 0, 510, 1], [1633, 1530, 0, 409], [766, 1785, 765, 1], [1, 1122, 1530, 1021], [511, 1530, 255, 1531]], 'adelic_image': '2040.384.9.?', 'conductor': 14450, 'lmfdb_label': '14450.d1', 'prime': 0}
  • id: 68617
    {'conductor': 14450, 'elladic_image': '8.2.0.1', 'lmfdb_label': '14450.d1', 'modell_image': '2G', 'prime': 2}
  • id: 68618
    {'conductor': 14450, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14450.d1', 'modell_image': '3B', 'prime': 3}
  • id: 68619
    {'conductor': 14450, 'elladic_image': '5.12.0.2', 'lmfdb_label': '14450.d1', 'modell_image': '5B.4.2', 'prime': 5}
• lmfdb_iso 14450.d does not appear in ec_padic