Elliptic curve data - 46410.cn3

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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': '46410cm', 'Clabel': '46410cm2', 'Cnumber': 2, 'abc_quality': 1.0317116224879783, 'absD': 34982717474287728110306250000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1768, 'ainvs': [1, 0, 0, -5766634510, 168310291664372], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 46410, 'degree': 67633152, 'elladic_images': ['8.48.0.24'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.3732012331131224112722282637', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 65, 'isogeny_degrees': [1, 2, 4], 'jinv': [21207574048850823872792738495132641, 34982717474287728110306250000], 'lmfdb_iso': '46410.cn', 'lmfdb_label': '46410.cn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -5766634510, 168310291664372], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.3', '8.48.0-8.e.2.2', '68.48.0-68.c.1.1', '104.96.0.?', '136.96.0.?', '1768.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 15470], [5, 6, 9282], [7, 8, 6630], [13, 14, 3570], [17, 18, 2730]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '4.3732012331131224112722282637', 'prec': 100}, 'szpiro_ratio': 7.355763488945822, 'torsion': 8, 'torsion_primes': [2], 'torsion_structure': [2, 4]}
• 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, -1, 1, 1, 1, 4, 1, 1, -1, 1, 1, 1, 1, 4, 1], 'aplist': [1, 1, 1, -1, 4, 1, 1, 4, 0, 6, 0, -10, 2, -4, 0, 6, 12, 6, 4, 8, 2, 8, -12, -6, -6], 'class_deg': 8, 'class_size': 6, 'conductor': 46410, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '46410.cn', 'trace_hash': 1296159570851898579}
• 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': '0.00015903242173844383511406336489', 'prec': 113}, 'conductor': 46410, 'gens': [], 'heights': [], 'lmfdb_label': '46410.cn3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.036714167726663719571790277410', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.0491202035194341577837332628078015326', 'prec': 130}, 'tamagawa_product': 12288, 'torsion_generators': [[42484, -21242, 1], [64142, 7862270, 1]], 'xcoord_integral_points': [26234, 42484, 45188, 64142]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [1, 0], '5': [3, 0], '7': [0, 0], '13': [1, 0], '17': [3, 0]}, 'iwp0': 5, 'lmfdb_label': '46410.cn3'}
• ec_torsion_growth •

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

  
  
  • id: 2265637
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '46410.cn3', 'torsion': [2, 8]}
  • id: 2265638
    {'degree': 4, 'field': [16, 0, 9, 0, 1], 'lmfdb_label': '46410.cn3', 'torsion': [4, 4]}
  • id: 2265639
    {'degree': 4, 'field': [458, 60, -59, -2, 1], 'lmfdb_label': '46410.cn3', 'torsion': [2, 8]}
  • id: 2265642
    {'degree': 8, 'field': [-15600, 3600, -4020, 839, -416, -7, 7, -4, 1], 'lmfdb_label': '46410.cn3', 'torsion': [2, 12]}
  • id: 2265640
    {'degree': 8, 'field': [37098, -6084, -7486, 416, 451, -52, 18, 0, 1], 'lmfdb_label': '46410.cn3', 'torsion': [4, 8]}
  • id: 2265641
    {'degree': 8, 'field': [456976, 0, 70304, 0, 4290, 0, 104, 0, 1], 'lmfdb_label': '46410.cn3', 'torsion': [2, 16]}
  • id: 2265644
    {'degree': 16, 'field': [5683456, 0, 4809664, 0, 1691524, 0, 360684, 0, 52137, 0, -1128, 0, 550, 0, -20, 0, 1], 'lmfdb_label': '46410.cn3', 'torsion': [4, 8]}
  • id: 2265643
    {'degree': 16, 'field': [55771641, -133893594, 134795674, -71588990, 18988336, 414952, -1954852, 509494, 40433, -45432, 9980, 734, -232, 26, 34, -4, 1], 'lmfdb_label': '46410.cn3', 'torsion': [4, 8]}
  • id: 2265646
    {'degree': 16, 'field': [78376440168, -74406211776, 88246235676, -28910727840, 17577446622, -3874619128, 1508237105, -192127336, 56146868, -5616478, 1332773, -118124, 22933, -1526, 238, -8, 1], 'lmfdb_label': '46410.cn3', 'torsion': [2, 24]}
  • id: 2265645
    {'degree': 16, 'field': [5281293335055002344, 164380188717370720, -200266656470275504, -4944804231484416, 3242958181328828, 64096596806576, -29669555862008, -458515540560, 168810791938, 1945914792, -612787460, -4902512, 1386401, 6804, -1786, -4, 1], 'lmfdb_label': '46410.cn3', 'torsion': [2, 16]}
• 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: 1107408
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.cn3', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1107409
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 24, 'j_denominator_valuation': 24, 'kodaira_symbol': 28, 'lmfdb_label': '46410.cn3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 24}
  • id: 1107410
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '46410.cn3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 1107411
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.cn3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1107412
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '46410.cn3', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1107413
    {'conductor': 46410, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '46410.cn3', '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: 1973363
    {'adelic_gens': [[5, 4, 1764, 1765], [735, 2, 1646, 1763], [5, 1332, 1762, 435], [1761, 8, 1760, 9], [1497, 8, 684, 33], [1, 0, 8, 1], [889, 448, 416, 853], [1, 8, 0, 1]], 'adelic_image': '1768.192.1.?', 'conductor': 46410, 'lmfdb_label': '46410.cn3', 'prime': 0}
  • id: 200897
    {'conductor': 46410, 'elladic_image': '8.48.0.24', 'lmfdb_label': '46410.cn3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 46410.cn does not appear in ec_padic