Elliptic curve data - 274890.n7

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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': '274890n', 'Clabel': '274890n2', 'Cnumber': 2, 'abc_quality': 1.0069950709597306, 'absD': 43910635459530609000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 157080, 'ainvs': [1, 1, 0, -9305468, 4206745488], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 274890, 'degree': 31850496, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.0378627888256912309608566675', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [757443433548897303481, 373234243041000000], 'lmfdb_iso': '274890.n', 'lmfdb_label': '274890.n7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -189908, -12291694], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '21.8.0-3.a.1.1', '24.48.0.o.2', '42.48.0-6.a.1.1', '132.48.0.?', '168.96.0.?', '264.96.1.?', '308.12.0.?', '924.96.0.?', '1020.48.0.?', '1848.192.1.?', '2040.96.1.?', '2380.12.0.?', '3740.12.0.?', '7140.96.0.?', '11220.96.1.?', '14280.192.1.?', '22440.192.5.?', '26180.24.0.?', '78540.192.1.?', '157080.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 6, 'num_int_pts': 28, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.5834792392385882694346381103', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0649077142980345784081802958', 'prec': 100}, 'szpiro_ratio': 4.770946891818519, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, -1, 1, 0, -1, 1, 1, 1, -1, -2, 0, 1, 1, 1, -1, 4, -1], 'aplist': [-1, -1, -1, 0, 1, -2, 1, 4, 0, -6, -8, -10, -6, -4, -12, 6, -12, -2, 8, -12, -2, 8, 12, 6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 274890, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '274890.n', 'trace_hash': 1170790504979344625}
• 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': '0.0022979782194390494016618749757', 'prec': 110}, 'conductor': 274890, 'gens': [[416, 19988, 1], [119, 55628, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8935192021979900101345273403', 'prec': 100}, {'__RealLiteral__': 0, 'data': '1.9887772734375140691811855617', 'prec': 100}], 'lmfdb_label': '274890.n7', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.10111854076920303324355731632', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.6965485971649565884958686049063952490', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-3256, 1628, 1], [2792, -1396, 1]], 'xcoord_integral_points': [-3256, -3137, -1933, 119, 328, 416, 2792, 2869, 3408, 13744, 25661, 46473, 64744, 185744, 385517]}
• lmfdb_label 274890.n7 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 11722028
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 6]}
  • id: 11722029
    {'degree': 4, 'field': [36, 0, -54, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 4]}
  • id: 11722031
    {'degree': 4, 'field': [19044, 0, -234, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 4]}
  • id: 11722030
    {'degree': 4, 'field': [28224, 0, -259, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 4]}
  • id: 11722032
    {'degree': 6, 'field': [-12, -6, -29, -33, 2, -3, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 6]}
  • id: 11722033
    {'degree': 8, 'field': [289, 0, 1134, 0, 407, 0, 42, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 12]}
  • id: 11722034
    {'degree': 8, 'field': [109561, 0, -19482, 0, 3263, 0, -102, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 12]}
  • id: 11722035
    {'degree': 8, 'field': [273464, -36464, 39194, -5542, 2977, -250, 88, -4, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 12]}
  • id: 11722036
    {'degree': 12, 'field': [16, -216, 968, 54, 363, 9, 205, -138, -6, 12, -1, -3, 1], 'lmfdb_label': '274890.n7', 'torsion': [6, 6]}
  • id: 11722038
    {'degree': 16, 'field': [23671361527, 1164650562944, -1246615070932, 162509225208, -77579156908, -4758866024, 2153619688, -460079928, 82709617, 20852472, -3488996, -363760, 54014, 3024, -412, -8, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 8]}
  • id: 11722037
    {'degree': 16, 'field': [123366426417936, 0, 17063400867408, 0, 557575670412, 0, -2406050892, 0, 177635673, 0, 547344, 0, 32238, 0, -84, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [4, 4]}
  • id: 11722040
    {'degree': 16, 'field': [210948202691136, 0, -24992441198208, 0, 1516522759200, 0, 69982896672, 0, 1424264724, 0, 6697008, 0, -300, 0, 48, 0, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 8]}
  • id: 11722039
    {'degree': 16, 'field': [363423455200436, -64092299032808, 67983429087276, -7762368863992, 3831779947581, 58379948586, -17953103166, -1287266906, 316397862, 3596344, -705906, -3654, -2394, 1358, -174, -8, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 8]}
  • id: 11722041
    {'degree': 18, 'field': [3442570793096768, -437370815659872, 17388368935524, 89695733800343, -3912248504847, -2655314484051, 311809505311, 1243062105, -11972896617, 767415846, 321060972, -14613591, -5068609, 96369, 50817, 146, -324, -3, 1], 'lmfdb_label': '274890.n7', 'torsion': [2, 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: 6808353
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '274890.n7', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6808354
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '274890.n7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6808355
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '274890.n7', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6808356
    {'conductor': 274890, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '274890.n7', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6808357
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '274890.n7', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 6808358
    {'conductor': 274890, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '274890.n7', 'prime': 17, '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: 3400437
    {'adelic_gens': [[31417, 134652, 98742, 22513], [145867, 67326, 89754, 89755], [1, 0, 12, 1], [157069, 12, 157068, 13], [36961, 134652, 132006, 22513], [14967, 112210, 48622, 22443], [85681, 67326, 0, 1], [39271, 134652, 145866, 22513], [1, 12, 0, 1], [9, 4, 157064, 157073], [22439, 0, 0, 157079]], 'adelic_image': '157080.384.5.?', 'conductor': 274890, 'lmfdb_label': '274890.n7', 'prime': 0}
  • id: 980466
    {'conductor': 274890, 'elladic_image': '2.6.0.1', 'lmfdb_label': '274890.n7', 'modell_image': '2Cs', 'prime': 2}
  • id: 980467
    {'conductor': 274890, 'elladic_image': '3.4.0.1', 'lmfdb_label': '274890.n7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 274890.n does not appear in ec_padic