Elliptic curve data - 95370.bz4

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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': '95370ca', 'Clabel': '95370ca2', 'Cnumber': 2, 'abc_quality': 0.9379136566213516, 'absD': 94628925507600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 22440, 'ainvs': [1, 1, 1, -21681, 1127103], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 95370, 'degree': 327680, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4235481319505663633937298376', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 51, 'isogeny_degrees': [1, 2, 4], 'jinv': [46694890801, 3920400], 'lmfdb_iso': '95370.bz', 'lmfdb_label': '95370.bz4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -75, 225], 'min_quad_twist_disc': 17, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.l.1', '40.24.0.i.2', '68.24.0-4.b.1.3', '88.24.0.?', '120.48.0.?', '220.24.0.?', '264.48.0.?', '408.48.0.?', '440.48.0.?', '680.48.0.?', '1320.96.1.?', '1496.48.0.?', '2040.96.0.?', '3740.48.0.?', '4488.96.0.?', '7480.96.0.?', '22440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6038875664181325242059429081', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 289], [3, 4, 31790], [5, 6, 19074], [11, 12, 8670], [17, 146, 330]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.0069414599224583232689625286616', 'prec': 110}, 'szpiro_ratio': 3.62532035517513, '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, 1, -1, -2, 0, 1, 1, 0, 1, -4, -1], 'aplist': [1, -1, -1, 0, 1, -2, 0, -4, 0, 2, 0, 2, -2, -12, 8, 6, -12, -6, 4, 0, 6, 16, 4, 10, -2], 'class_deg': 8, 'class_size': 6, 'conductor': 95370, 'isogeny_matrix': [[1, 8, 2, 4, 8, 4], [8, 1, 4, 2, 4, 8], [2, 4, 1, 2, 4, 2], [4, 2, 2, 1, 2, 4], [8, 4, 4, 2, 1, 8], [4, 8, 2, 4, 8, 1]], 'lmfdb_iso': '95370.bz', 'trace_hash': 1530520466760126614}
• 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': '0.058012529616184168344435475230', 'prec': 107}, 'conductor': 95370, 'gens': [[137, 798, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6038875664181325242059429081', 'prec': 100}], 'lmfdb_label': '95370.bz4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58666190329447554042521871783', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.5275178590816494260729638862128179545', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[-169, 84, 1], [103, -52, 1]], 'xcoord_integral_points': [-169, -59, 103, 137, 409]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [9, 0], '3': [1, 0], '5': [1, 0], '7': [1, 1, 0], '11': [2, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '95370.bz4'}
• ec_torsion_growth •

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

  
  
  • id: 4442250
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 4]}
  • id: 4442252
    {'degree': 4, 'field': [26, -62, 63, -2, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 4]}
  • id: 4442251
    {'degree': 4, 'field': [324, 0, -19, 0, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 4]}
  • id: 4442256
    {'degree': 8, 'field': [-2545605, -1060554, -265472, -31740, -4560, -218, -12, 0, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 6]}
  • id: 4442254
    {'degree': 8, 'field': [400, 880, -458, -800, 291, 128, -38, -4, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 8]}
  • id: 4442255
    {'degree': 8, 'field': [784, -560, 706, -272, 87, 56, -14, -4, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 8]}
  • id: 4442253
    {'degree': 8, 'field': [8424, -7632, 9182, -3174, 1773, -226, 80, -4, 1], 'lmfdb_label': '95370.bz4', 'torsion': [4, 4]}
  • id: 4442259
    {'degree': 16, 'field': [-1723136, -2209408, -2558944, 882472, 1482580, 45954, -286732, -77480, 14947, 19382, 4916, -4572, -68, 332, -28, -8, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 12]}
  • id: 4442257
    {'degree': 16, 'field': [2076481, 0, -2464044, 0, 317922, 0, 265188, 0, 65635, 0, 3372, 0, 282, 0, 24, 0, 1], 'lmfdb_label': '95370.bz4', 'torsion': [2, 8]}
  • id: 4442258
    {'degree': 16, 'field': [27812566441, 0, 95528532, 0, 1049907100, 0, -120622788, 0, 7762254, 0, 790668, 0, 21100, 0, 228, 0, 1], 'lmfdb_label': '95370.bz4', '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: 2337820
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '95370.bz4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2337821
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '95370.bz4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337822
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '95370.bz4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2337823
    {'conductor': 95370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '95370.bz4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2337824
    {'conductor': 95370, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '95370.bz4', '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: 2291664
    {'adelic_gens': [[22433, 8, 22432, 9], [7923, 10234, 6596, 4285], [4625, 13532, 13532, 11221], [1, 0, 8, 1], [7481, 9248, 884, 14553], [19279, 7922, 13974, 21115], [1, 8, 0, 1], [17647, 1326, 714, 21115], [5, 4, 22436, 22437], [7919, 0, 0, 22439]], 'adelic_image': '22440.192.1.?', 'conductor': 95370, 'lmfdb_label': '95370.bz4', 'prime': 0}
  • id: 385101
    {'conductor': 95370, 'elladic_image': '4.12.0.3', 'lmfdb_label': '95370.bz4', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4957244
    {'lmfdb_iso': '95370.bz', 'p': 13, 'prec': 20, 'unit': 1180521025821875015132, 'val': 1}
  • id: 4957247
    {'lmfdb_iso': '95370.bz', 'p': 19, 'prec': 20, 'unit': 1776883813562940354782721, 'val': 1}
  • id: 4957243
    {'lmfdb_iso': '95370.bz', 'p': 29, 'prec': 20, 'unit': 3508780302092504778291351148, 'val': 1}
  • id: 4957240
    {'lmfdb_iso': '95370.bz', 'p': 37, 'prec': 20, 'unit': 35930568633045219847975574287, 'val': 1}
  • id: 4957241
    {'lmfdb_iso': '95370.bz', 'p': 41, 'prec': 20, 'unit': 3427886982040321063416523402832, 'val': 1}
  • id: 4957242
    {'lmfdb_iso': '95370.bz', 'p': 43, 'prec': 20, 'unit': 7564170514784225335665046748048, 'val': 1}
  • id: 4957251
    {'lmfdb_iso': '95370.bz', 'p': 47, 'prec': 20, 'unit': 15754968496778679511463095462522, 'val': 1}
  • id: 4957248
    {'lmfdb_iso': '95370.bz', 'p': 53, 'prec': 20, 'unit': 557044167759408986899348438708777, 'val': 1}
  • id: 4957246
    {'lmfdb_iso': '95370.bz', 'p': 59, 'prec': 20, 'unit': 2300178879661138111941053583653675, 'val': 1}
  • id: 4957252
    {'lmfdb_iso': '95370.bz', 'p': 61, 'prec': 20, 'unit': 3608914387283522171972009039118456, 'val': 1}
  • id: 4957239
    {'lmfdb_iso': '95370.bz', 'p': 67, 'prec': 20, 'unit': 37244196783549739766629365955639272, 'val': 1}
  • id: 4957249
    {'lmfdb_iso': '95370.bz', 'p': 73, 'prec': 20, 'unit': 243139926466487245599742957097851991, 'val': 1}
  • id: 4957245
    {'lmfdb_iso': '95370.bz', 'p': 79, 'prec': 20, 'unit': 622214632406140768257514050805749926, 'val': 1}
  • id: 4957238
    {'lmfdb_iso': '95370.bz', 'p': 83, 'prec': 20, 'unit': 1060869329427441885182995196179012632, 'val': 1}
  • id: 4957250
    {'lmfdb_iso': '95370.bz', 'p': 89, 'prec': 20, 'unit': 10137299786350298952699073248203308796, 'val': 1}
  • id: 4957237
    {'lmfdb_iso': '95370.bz', 'p': 97, 'prec': 20, 'unit': 34978225559038835236067306825759956037, 'val': 1}