Elliptic curve data - 95370.j7

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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': '95370c', 'Clabel': '95370c2', 'Cnumber': 2, 'abc_quality': 1.0069950709597306, 'absD': 9008967294564907329000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 1, 0, -54883273, -60334208123], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 95370, 'degree': 31850496, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4815143863261426185329476047', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 9, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [757443433548897303481, 373234243041000000], 'lmfdb_iso': '95370.j', 'lmfdb_label': '95370.j7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -189908, -12291694], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '20.12.0-2.a.1.1', '24.48.0.o.2', '51.8.0-3.a.1.2', '60.48.0-6.a.1.2', '102.48.0.?', '120.96.0.?', '132.48.0.?', '264.96.1.?', '408.96.0.?', '660.96.0.?', '748.12.0.?', '1020.96.0.?', '1320.192.1.?', '2040.192.1.?', '2244.96.0.?', '3740.24.0.?', '4488.192.1.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.581507204491349765451307120', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0649077142980345784081802958', 'prec': 100}, 'szpiro_ratio': 5.675779583399036, '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, 4, -1, 1, 1, -1, -1, 2, -4, 1, 1, 0, -1, -4, -1], 'aplist': [-1, -1, -1, 4, -1, 2, 0, -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': 95370, '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': '95370.j', 'trace_hash': 2148538894759661864}
• 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': '0.00094622632565137328303724263704', 'prec': 113}, 'conductor': 95370, 'gens': [[169266610986, 69546702672145537, 791]], 'heights': [{'__RealLiteral__': 0, 'data': '19.581507204491349765451307120', 'prec': 100}], 'lmfdb_label': '95370.j7', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.058331032657601163338258821313', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5688381449209495379269626630095142406', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-6782, 3391, 1], [7906, -3953, 1]], 'xcoord_integral_points': [-6782, 7906]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': [1, 0], '5': [3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '95370.j7'}
• ec_torsion_growth •

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

  
  
  • id: 4441297
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 6]}
  • id: 4441300
    {'degree': 4, 'field': [1764, 0, 18, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 4]}
  • id: 4441298
    {'degree': 4, 'field': [2304, 0, -91, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 4]}
  • id: 4441299
    {'degree': 4, 'field': [10099, 206, -205, -2, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 4]}
  • id: 4441301
    {'degree': 6, 'field': [4, -14, 19, -11, 8, -3, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 6]}
  • id: 4441304
    {'degree': 8, 'field': [441, 0, -1074, 0, 487, 0, -46, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 12]}
  • id: 4441303
    {'degree': 8, 'field': [576, -528, 686, -294, 93, 62, -16, -4, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 12]}
  • id: 4441302
    {'degree': 8, 'field': [10609, 0, -2634, 0, 287, 0, 18, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 12]}
  • id: 4441305
    {'degree': 12, 'field': [16, -56, 120, -178, 175, 3, -65, 12, 12, -2, 1, -3, 1], 'lmfdb_label': '95370.j7', 'torsion': [6, 6]}
  • id: 4441307
    {'degree': 16, 'field': [31896217296, -20425959840, 6172204496, -499906880, 41568397, -402012050, 104535718, -5867950, 12262350, -500500, 168122, -27830, 4122, -110, 54, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 8]}
  • id: 4441306
    {'degree': 16, 'field': [36742180996, -3214972152, 2927033940, 30433608, -272484518, 5907528, -11898486, 491976, 1027365, 13140, 5598, -144, -1544, -36, 12, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [4, 4]}
  • id: 4441309
    {'degree': 16, 'field': [163371172864, -20487684096, 38717008896, -31633130496, 875294080, 3744474624, 918977280, 42235776, 45602064, 11204160, 1203024, -116160, 796, -1056, 180, 0, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 8]}
  • id: 4441308
    {'degree': 16, 'field': [325761069451, 15805515104, -12191711332, -6757992312, 2237088776, 1281706264, -283717400, -114871656, 18752029, 6313608, -936620, -172528, 24326, 2016, -268, -8, 1], 'lmfdb_label': '95370.j7', 'torsion': [2, 8]}
  • id: 4441310
    {'degree': 18, 'field': [3179913130696184, 610716854247108, -122971981861530, 15301678979579, -6820153550049, 458554778493, 432186960817, -50187504783, -12580465053, 1074190458, 343385922, -13344519, -6241903, 79413, 63561, 290, -378, -3, 1], 'lmfdb_label': '95370.j7', '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: 2337325
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '95370.j7', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337326
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '95370.j7', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337327
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '95370.j7', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337328
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '95370.j7', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337329
    {'conductor': 95370, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '95370.j7', 'prime': 17, '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: 2291783
    {'adelic_gens': [[16831, 12, 11226, 73], [14967, 10, 3742, 3], [9, 4, 22424, 22433], [1, 0, 12, 1], [8977, 12, 8982, 73], [22429, 12, 22428, 13], [7919, 22428, 2634, 22367], [1, 12, 0, 1], [11227, 6, 22434, 22435], [18361, 6, 0, 1]], 'adelic_image': '22440.384.5.?', 'conductor': 95370, 'lmfdb_label': '95370.j7', 'prime': 0}
  • id: 385208
    {'conductor': 95370, 'elladic_image': '2.6.0.1', 'lmfdb_label': '95370.j7', 'modell_image': '2Cs', 'prime': 2}
  • id: 385209
    {'conductor': 95370, 'elladic_image': '3.4.0.1', 'lmfdb_label': '95370.j7', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 4956720
    {'lmfdb_iso': '95370.j', 'p': 7, 'prec': 20, 'unit': 909046956325034, 'val': 1}
  • id: 4956724
    {'lmfdb_iso': '95370.j', 'p': 13, 'prec': 20, 'unit': 325702847825219400785, 'val': 1}
  • id: 4956727
    {'lmfdb_iso': '95370.j', 'p': 19, 'prec': 20, 'unit': 610501810583148811046851, 'val': 1}
  • id: 4956723
    {'lmfdb_iso': '95370.j', 'p': 29, 'prec': 20, 'unit': 3874593027031432247370600873, 'val': 1}
  • id: 4956734
    {'lmfdb_iso': '95370.j', 'p': 31, 'prec': 20, 'unit': 11749672086048587452267665486, 'val': 1}
  • id: 4956719
    {'lmfdb_iso': '95370.j', 'p': 37, 'prec': 20, 'unit': 206748641308228556757084608285, 'val': 1}
  • id: 4956721
    {'lmfdb_iso': '95370.j', 'p': 41, 'prec': 20, 'unit': 4101783502233816380020435330870, 'val': 1}
  • id: 4956722
    {'lmfdb_iso': '95370.j', 'p': 43, 'prec': 20, 'unit': 9279742869761831199158900163011, 'val': 1}
  • id: 4956732
    {'lmfdb_iso': '95370.j', 'p': 47, 'prec': 20, 'unit': 46465177607945549416380283335559, 'val': 1}
  • id: 4956728
    {'lmfdb_iso': '95370.j', 'p': 53, 'prec': 20, 'unit': 23605005507828962091687699257687, 'val': 1}
  • id: 4956726
    {'lmfdb_iso': '95370.j', 'p': 59, 'prec': 20, 'unit': 88981585022977908595933728818260, 'val': 1}
  • id: 4956733
    {'lmfdb_iso': '95370.j', 'p': 61, 'prec': 20, 'unit': 3756487634525286718768584595102238, 'val': 1}
  • id: 4956718
    {'lmfdb_iso': '95370.j', 'p': 67, 'prec': 20, 'unit': 6644082449280000308640446005954812, 'val': 1}
  • id: 4956731
    {'lmfdb_iso': '95370.j', 'p': 71, 'prec': 20, 'unit': 38984639962686421799780727182791627, 'val': 1}
  • id: 4956729
    {'lmfdb_iso': '95370.j', 'p': 73, 'prec': 20, 'unit': 153199326966375045133611612636642445, 'val': 1}
  • id: 4956725
    {'lmfdb_iso': '95370.j', 'p': 79, 'prec': 20, 'unit': 261075839059072952521159201647331957, 'val': 1}
  • id: 4956717
    {'lmfdb_iso': '95370.j', 'p': 83, 'prec': 20, 'unit': 206172088457373461157476268164608450, 'val': 1}
  • id: 4956730
    {'lmfdb_iso': '95370.j', 'p': 89, 'prec': 20, 'unit': 7659764497959610610104979718885875433, 'val': 1}
  • id: 4956716
    {'lmfdb_iso': '95370.j', 'p': 97, 'prec': 20, 'unit': 12626411740590867704020316120241002569, 'val': 1}