Elliptic curve data - 369600.jz1

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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': '369600jz', 'Clabel': '369600jz3', 'Cnumber': 3, 'abc_quality': 0.9296346880201614, 'absD': 1622691840000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [0, -1, 0, -1409633, 644647137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 369600, 'degree': 4718592, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1145851681789077187951818111', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 259, 'isogeny_degrees': [1, 2, 4], 'jinv': [75627935783569, 396165], 'lmfdb_iso': '369600.jz', 'lmfdb_label': '369600.jz1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -881, 9698], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '88.12.0.?', '120.12.0.?', '168.12.0.?', '280.12.0.?', '330.6.0.?', '660.12.0.?', '840.24.0.?', '1320.24.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.3400172335123677392189608119', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27014544112193956736895396230', 'prec': 103}, 'szpiro_ratio': 4.21914028059339, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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, 0, -1, 0, 0, 0, 1, 0, 1, 0, 1, 0, -2, 0, 0, 0, -6, 0, -4, 0], 'aplist': [0, -1, 0, 1, 1, -2, -6, -4, 0, 6, 0, 6, -10, 4, -8, -6, 8, -2, -8, -8, 14, 4, -16, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 369600, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '369600.jz', 'trace_hash': 1889758437027879220}
• 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': '0.014564469147655488912127160632', 'prec': 107}, 'conductor': 369600, 'gens': [[736, 2303, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.3400172335123677392189608119', 'prec': 100}], 'lmfdb_label': '369600.jz1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42046659726974322480294701861', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6174627239889865607480947522623137549', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[687, 0, 1]], 'xcoord_integral_points': [687, 736, 787]}
• lmfdb_label 369600.jz1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15342883
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '369600.jz1', 'torsion': [2, 2]}
  • id: 15342885
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [4]}
  • id: 15342884
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [4]}
  • id: 15342886
    {'degree': 4, 'field': [4, 0, -26, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [2, 4]}
  • id: 15342890
    {'degree': 8, 'field': [-2430000, 0, 279000, 0, -5400, 0, 0, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [6]}
  • id: 15342889
    {'degree': 8, 'field': [65926, -45024, 21676, -11244, 3768, -564, 22, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [8]}
  • id: 15342887
    {'degree': 8, 'field': [1002001, 0, 68728, 0, -1881, 0, 22, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [2, 4]}
  • id: 15342888
    {'degree': 8, 'field': [1354896, 0, -200352, 0, 10009, 0, -188, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [8]}
  • id: 15342891
    {'degree': 16, 'field': [10732176, 161336448, 1212682752, -1446687648, 844768512, -134494560, 29583648, -14673744, 4305820, -365536, 75968, -27880, 4612, -32, 32, -8, 1], 'lmfdb_label': '369600.jz1', 'torsion': [4, 4]}
  • id: 15342896
    {'degree': 16, 'field': [13598591769, 0, -53368602840, 0, 13451358312, 0, -1408463046, 0, 74012130, 0, -2177784, 0, 35785, 0, -302, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [12]}
  • id: 15342892
    {'degree': 16, 'field': [20909233009, -13094758236, 15602287022, 3003257628, 949499182, 56996856, 37052678, -3490368, 4647751, 112644, -70270, 6552, 1216, -84, 44, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [2, 8]}
  • id: 15342893
    {'degree': 16, 'field': [23329507600, 0, -24140592000, 0, 8676035720, 0, -1308253200, 0, 88881201, 0, -2894532, 0, 46079, 0, -348, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [2, 8]}
  • id: 15342895
    {'degree': 16, 'field': [14484486610801, 0, -4078947899756, 0, 388703831572, 0, 2674472892, 0, -85447530, 0, -1311492, 0, -2828, 0, -44, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [12]}
  • id: 15342894
    {'degree': 16, 'field': [68808484927744, 0, 5777210805760, 0, -50974274432, 0, -8648435008, 0, -167563600, 0, 396272, 0, 41740, 0, 394, 0, 1], 'lmfdb_label': '369600.jz1', 'torsion': [2, 6]}
• 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: 9143752
    {'conductor': 369600, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '369600.jz1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9143753
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.jz1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9143754
    {'conductor': 369600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '369600.jz1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9143755
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '369600.jz1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9143756
    {'conductor': 369600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '369600.jz1', 'prime': 11, 'reduction_type': 1, '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: 3964498
    {'adelic_gens': [[1688, 3, 3365, 2], [9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 9234, 9235], [6164, 1, 3103, 6], [1163, 1156, 1202, 5781], [3461, 3462, 1142, 5765], [7384, 9237, 9235, 9238], [5281, 8, 2644, 33]], 'adelic_image': '9240.48.0.?', 'conductor': 369600, 'lmfdb_label': '369600.jz1', 'prime': 0}
  • id: 1269062
    {'conductor': 369600, 'elladic_image': '4.6.0.1', 'lmfdb_label': '369600.jz1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 369600.jz does not appear in ec_padic