Elliptic curve data - 248430.iz2

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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': '248430iz', 'Clabel': '248430iz2', 'Cnumber': 2, 'abc_quality': 0.9211379199077876, 'absD': 25043034015008100, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10920, 'ainvs': [1, 0, 0, -194776, -32214820], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 248430, 'degree': 3538944, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9224393110599488094397901132', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 233, 'isogeny_degrees': [1, 2], 'jinv': [1439069689, 44100], 'lmfdb_iso': '248430.iz', 'lmfdb_label': '248430.iz2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -23, 33], 'min_quad_twist_disc': -91, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '24.12.0.a.1', '260.12.0.?', '280.12.0.?', '420.12.0.?', '728.12.0.?', '840.24.0.?', '1092.12.0.?', '1560.24.0.?', '2184.24.0.?', '3640.24.0.?', '5460.24.0.?', '10920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, '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, 82810], [5, 6, 49686], [7, 32, 5070], [13, 86, 1470]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33299044219847621113962997930', 'prec': 107}, 'szpiro_ratio': 3.8760962564401917, '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, 4, 1, 0, 0, -1, 1, 6, 1, 0, -1], 'aplist': [1, 1, -1, 0, 4, 0, 6, 0, -8, 10, -8, -2, -2, 8, 4, 10, 4, 6, 0, 12, -6, -8, -4, 14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 248430, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '248430.iz', 'trace_hash': 1166788268776535536}
• 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': '0.021388997554786517945379310619', 'prec': 107}, 'conductor': 248430, 'gens': [], 'heights': [], 'lmfdb_label': '248430.iz2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22768277311185728726396809713', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2858487395794331924469791081584111918', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-220, 110, 1], [508, -254, 1]], 'xcoord_integral_points': [-220, 508]}
• lmfdb_label 248430.iz2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10697657
    {'degree': 4, 'field': [784, 0, -126, 0, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 4]}
  • id: 10697656
    {'degree': 4, 'field': [1936, 0, 94, 0, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 4]}
  • id: 10697655
    {'degree': 4, 'field': [2704, 0, 169, 0, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 4]}
  • id: 10697658
    {'degree': 8, 'field': [-12856224, 68400, -555448, 24552, -17268, -366, 18, 0, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 6]}
  • id: 10697659
    {'degree': 16, 'field': [256, 0, 0, 0, 19485737, 0, 0, 0, 992403, 0, 0, 0, 3947, 0, 0, 0, 1], 'lmfdb_label': '248430.iz2', 'torsion': [4, 4]}
  • id: 10697662
    {'degree': 16, 'field': [1664006400, 3680409600, -2751212800, -1751232000, 615167240, 291997120, -64086960, -26545600, 4265321, 1477752, -194852, -52056, 6310, 1064, -132, -8, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 8]}
  • id: 10697660
    {'degree': 16, 'field': [6035055156, -11801150712, 15914709828, -8705278008, 5573815773, -1538383362, 636812454, -111147354, 33952438, -4279532, 1027546, -96830, 18838, -1274, 202, -8, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 8]}
  • id: 10697661
    {'degree': 16, 'field': [249968001024, 0, -12037939200, 0, 510272352, 0, -27563520, 0, 8489476, 0, -350128, 0, 9156, 0, -136, 0, 1], 'lmfdb_label': '248430.iz2', 'torsion': [2, 8]}
• 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: 6158875
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.iz2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6158876
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.iz2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6158877
    {'conductor': 248430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '248430.iz2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6158878
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '248430.iz2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 6158879
    {'conductor': 248430, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '248430.iz2', '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: 3241280
    {'adelic_gens': [[6891, 2522, 1846, 8399], [1, 4, 0, 1], [3641, 5044, 9802, 10089], [8191, 2522, 0, 1], [6719, 0, 0, 10919], [6837, 8398, 7202, 2521], [5461, 2522, 0, 1], [1, 0, 4, 1], [10917, 4, 10916, 5]], 'adelic_image': '10920.48.0.?', 'conductor': 248430, 'lmfdb_label': '248430.iz2', 'prime': 0}
  • id: 897080
    {'conductor': 248430, 'elladic_image': '2.6.0.1', 'lmfdb_label': '248430.iz2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 248430.iz does not appear in ec_padic