Elliptic curve data - 248430.hi6

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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': '248430hi', 'Clabel': '248430hi2', 'Cnumber': 2, 'abc_quality': 1.0136164980344768, 'absD': 5071214388039140250000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 5460, 'ainvs': [1, 1, 1, -4782450, -2115289233], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 248430, 'degree': 21233664, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8618150249548462008499376183', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 190, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21302308926361, 8930250000], 'lmfdb_iso': '248430.hi', 'lmfdb_label': '248430.hi6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578, 2756], 'min_quad_twist_disc': -91, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '20.12.0.a.1', '60.96.1.e.4', '84.96.1.?', '156.96.0.?', '273.8.0.?', '364.12.0.?', '420.192.5.?', '546.48.0.?', '780.192.1.?', '1092.192.1.?', '1820.24.0.?', '5460.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 8281], [3, 4, 16562], [5, 6, 49686], [7, 32, 5070], [13, 86, 1470]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60638527169642118027051752580', 'prec': 103}, 'szpiro_ratio': 4.649068848827487, '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, 0, -1, 0, 0, -1, 1, 6, 1, 8, 1], 'aplist': [1, -1, 1, 0, 0, 0, 6, 8, 0, 6, -4, 10, -6, -4, 0, -6, -12, 10, 4, -12, -10, 8, 12, -6, -10], 'class_deg': 12, 'class_size': 8, 'conductor': 248430, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '248430.hi', 'trace_hash': 414790057037543831}
• 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': '0.0032678269707608910761561394649', 'prec': 110}, 'conductor': 248430, 'gens': [], 'heights': [], 'lmfdb_label': '248430.hi6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10597114222532119633387135189', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.0866148268154174240258248909552539359', 'prec': 130}, 'tamagawa_product': 768, 'torsion_generators': [[-1919, 959, 1], [-463, 231, 1]], 'xcoord_integral_points': [-1919, -463]}
• lmfdb_label 248430.hi6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10696927
    {'conductor': 248430, 'degree': 2, 'field': [23, -1, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 6]}
  • id: 10696928
    {'conductor': 248430, 'degree': 4, 'field': [43, -41, 14, -1, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 12]}
  • id: 10696930
    {'conductor': 248430, 'degree': 4, 'field': [130, 130, -129, -2, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 4]}
  • id: 10696929
    {'conductor': 248430, 'degree': 4, 'field': [576, 0, -43, 0, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 4]}
  • id: 10696931
    {'conductor': 248430, 'degree': 6, 'field': [-524, 20, -48, 97, -27, -1, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 6]}
  • id: 10696932
    {'conductor': 248430, 'degree': 8, 'field': [87025, 0, -15790, 0, 591, 0, 2, 0, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 12]}
  • id: 10696933
    {'conductor': 248430, 'degree': 8, 'field': [214020, -45780, 49106, -6750, 3621, -298, 104, -4, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 12]}
  • id: 10696934
    {'conductor': 248430, 'degree': 12, 'field': [1697809, -826102, 335503, -157422, 36942, -3962, 3795, -574, 54, -90, 7, -2, 1], 'lmfdb_label': '248430.hi6', 'torsion': [6, 6]}
  • id: 10696935
    {'conductor': 248430, 'degree': 16, 'field': [1392400, 0, -3116660, 0, 2186561, 0, 332496, 0, 30800, 0, -12990, 0, 1040, 0, -44, 0, 1], 'lmfdb_label': '248430.hi6', 'torsion': [4, 12]}
  • id: 10696936
    {'conductor': 248430, 'degree': 16, 'field': [79545085, -274787900, 437609964, -418114984, 264650949, -116263548, 36482908, -8442796, 1582386, -297752, 64678, -11280, 1611, -56, 18, -4, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 24]}
  • id: 10696937
    {'conductor': 248430, 'degree': 16, 'field': [1617077336, -3168690896, 3107941488, -1925295752, 829930276, -259632936, 60076920, -10156296, 1247694, -165972, 48480, -12618, 1451, -14, 12, -8, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 8]}
  • id: 10696938
    {'conductor': 248430, 'degree': 16, 'field': [1357448689216, 0, -344923417152, 0, 37219891348, 0, -1556793804, 0, 18334305, 0, 146736, 0, 1678, 0, -132, 0, 1], 'lmfdb_label': '248430.hi6', 'torsion': [2, 8]}
  • id: 10696939
    {'conductor': 248430, 'degree': 18, 'field': [4073513257375, -3460655918400, 1894004037840, -1050777451253, 389619493407, -129533321496, 37237062648, -7654927839, 1815293172, -221159391, 50162133, -2894979, 970917, -16575, 16569, -202, 201, -3, 1], 'lmfdb_label': '248430.hi6', '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: 6158480
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '248430.hi6', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6158481
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '248430.hi6', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6158482
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '248430.hi6', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 6158483
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '248430.hi6', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6158484
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '248430.hi6', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3241203
    {'adelic_gens': [[5449, 12, 5448, 13], [3927, 1690, 4342, 2523], [1259, 0, 0, 5459], [2731, 4212, 0, 1], [1, 0, 12, 1], [3353, 3354, 5226, 2105], [1, 12, 0, 1], [3277, 4212, 5382, 3433], [9, 4, 5444, 5453]], 'adelic_image': '5460.384.5.?', 'conductor': 248430, 'lmfdb_label': '248430.hi6', 'prime': 0}
  • id: 897025
    {'conductor': 248430, 'elladic_image': '2.6.0.1', 'lmfdb_label': '248430.hi6', 'modell_image': '2Cs', 'prime': 2}
  • id: 897026
    {'conductor': 248430, 'elladic_image': '3.4.0.1', 'lmfdb_label': '248430.hi6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 248430.hi does not appear in ec_padic