Elliptic curve data - 3675.n3

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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': '3675j', 'Clabel': '3675j3', 'Cnumber': 3, 'abc_quality': 1.0015974661127929, 'absD': 84426025359375, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 0, 1, -47801, -4002127], 'analytic_rank': 1, 'bad_primes': [3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 3675, 'degree': 12288, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5053058238556739559027058323', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [6570725617, 45927], 'lmfdb_iso': '3675.n', 'lmfdb_label': '3675.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -39, 90], 'min_quad_twist_disc': -35, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '20.12.0-4.c.1.1', '28.12.0.h.1', '40.48.0-8.bb.1.1', '48.48.0.bf.1', '56.48.0.bl.2', '140.24.0.?', '240.96.0.?', '280.96.0.?', '336.96.1.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.96574116063259045914214974076', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27236820688903288395035020604', 'prec': 107}, 'szpiro_ratio': 5.352214373373017, '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, 1, 1, -1, 0, 1, 0, -3, 1, 0, 4, -1, -2, 0, 0, -1, -6, 1, -4, 0], 'aplist': [1, 1, 0, 0, 4, -2, -6, -4, 0, -2, 0, -6, -2, 4, 0, -6, -12, 2, -4, 0, -6, -16, -12, 14, 18], 'class_deg': 8, 'class_size': 6, 'conductor': 3675, 'isogeny_matrix': [[1, 2, 8, 4, 4, 8], [2, 1, 4, 2, 2, 4], [8, 4, 1, 8, 2, 4], [4, 2, 8, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '3675.n', 'trace_hash': 980299494559147339}
• 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': '0.049261538836407256036351843834', 'prec': 107}, 'conductor': 3675, 'gens': [[-129, 211, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.96574116063259045914214974076', 'prec': 103}], 'lmfdb_label': '3675.n3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.32301622878902469969549477252', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9912010831020014917214974482689171908', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-537, 533, 2]], 'xcoord_integral_points': [-129, 1047]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 1], '3': [2, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '3675.n3'}
• ec_torsion_growth •

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

  
  
  • id: 192381
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [2, 2]}
  • id: 192382
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [4]}
  • id: 192383
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '3675.n3', 'torsion': [8]}
  • id: 192384
    {'degree': 4, 'field': [9, 0, -1, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [2, 8]}
  • id: 192388
    {'degree': 8, 'field': [-349, -284, -241, -129, -45, -24, 4, -4, 1], 'lmfdb_label': '3675.n3', 'torsion': [6]}
  • id: 192385
    {'degree': 8, 'field': [49, 0, 0, 0, -49, 0, 0, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [2, 4]}
  • id: 192387
    {'degree': 8, 'field': [144, 0, -156, 0, 55, 0, -8, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [16]}
  • id: 192386
    {'degree': 8, 'field': [3969, 0, 0, 0, -14, 0, 0, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [8]}
  • id: 192389
    {'degree': 16, 'field': [1, 0, 13704, 0, 10698, 0, -2460, 0, 475, 0, 228, 0, 30, 0, 12, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [4, 8]}
  • id: 192393
    {'degree': 16, 'field': [9, 0, -207, 0, 1008, 0, 9149, 0, 2765, 0, 119, 0, 7, 0, 10, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [12]}
  • id: 192390
    {'degree': 16, 'field': [81, -270, 414, -576, 681, -138, -338, -34, 420, -260, 152, -162, 65, 4, 0, -4, 1], 'lmfdb_label': '3675.n3', 'torsion': [2, 16]}
  • id: 192392
    {'degree': 16, 'field': [40401, 0, -30069, 0, 13491, 0, -6010, 0, 1541, 0, -247, 0, 67, 0, -14, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [2, 6]}
  • id: 192394
    {'degree': 16, 'field': [163689, -84849, 175544, -23492, 35612, 2371, 5813, -1019, 3330, -3315, 1488, -376, 193, -70, 25, -4, 1], 'lmfdb_label': '3675.n3', 'torsion': [24]}
  • id: 192391
    {'degree': 16, 'field': [501309, 975240, 1373166, 1395576, 1141884, 742644, 358398, 73080, -37571, -29316, -2902, 3192, 960, -84, -52, 0, 1], 'lmfdb_label': '3675.n3', 'torsion': [2, 16]}
• 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: 68007
    {'conductor': 3675, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '3675.n3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 68008
    {'conductor': 3675, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '3675.n3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 68009
    {'conductor': 3675, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3675.n3', 'prime': 7, '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: 1687930
    {'adelic_gens': [[5, 4, 1676, 1677], [1226, 935, 715, 726], [1, 16, 0, 1], [1665, 16, 1664, 17], [1343, 0, 0, 1679], [15, 2, 1582, 1667], [424, 335, 785, 1334], [1121, 1360, 1240, 801], [1, 0, 16, 1], [1, 1360, 1100, 1221]], 'adelic_image': '1680.192.1.?', 'conductor': 3675, 'lmfdb_label': '3675.n3', 'prime': 0}
  • id: 18430
    {'conductor': 3675, 'elladic_image': '8.24.0.88', 'lmfdb_label': '3675.n3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 125218
    {'lmfdb_iso': '3675.n', 'p': 11, 'prec': 20, 'unit': 31093982274792803902, 'val': 1}
  • id: 125216
    {'lmfdb_iso': '3675.n', 'p': 13, 'prec': 20, 'unit': 873921138188630370614, 'val': 1}
  • id: 125219
    {'lmfdb_iso': '3675.n', 'p': 17, 'prec': 20, 'unit': 226095144277622691933148, 'val': 1}
  • id: 125220
    {'lmfdb_iso': '3675.n', 'p': 19, 'prec': 20, 'unit': 1764723675284192906545328, 'val': 1}
  • id: 125215
    {'lmfdb_iso': '3675.n', 'p': 29, 'prec': 20, 'unit': 5599829347689396114741300755, 'val': 1}
  • id: 125212
    {'lmfdb_iso': '3675.n', 'p': 37, 'prec': 20, 'unit': 275923231807904489093134237334, 'val': 1}
  • id: 125213
    {'lmfdb_iso': '3675.n', 'p': 41, 'prec': 20, 'unit': 2769345474659622042766389469779, 'val': 1}
  • id: 125214
    {'lmfdb_iso': '3675.n', 'p': 43, 'prec': 20, 'unit': 1950702742185023741041581451458, 'val': 1}
  • id: 125221
    {'lmfdb_iso': '3675.n', 'p': 53, 'prec': 20, 'unit': 259790208289023785347826291740963, 'val': 1}
  • id: 125224
    {'lmfdb_iso': '3675.n', 'p': 59, 'prec': 20, 'unit': 984878558936208566195191217669905, 'val': 1}
  • id: 125225
    {'lmfdb_iso': '3675.n', 'p': 61, 'prec': 20, 'unit': 8036048046716801002737364977212997, 'val': 1}
  • id: 125211
    {'lmfdb_iso': '3675.n', 'p': 67, 'prec': 20, 'unit': 20253584681590203412103925181462314, 'val': 1}
  • id: 125222
    {'lmfdb_iso': '3675.n', 'p': 73, 'prec': 20, 'unit': 114954966708409609996010725888455133, 'val': 1}
  • id: 125217
    {'lmfdb_iso': '3675.n', 'p': 79, 'prec': 20, 'unit': 665277863786516337453738916553354237, 'val': 1}
  • id: 125210
    {'lmfdb_iso': '3675.n', 'p': 83, 'prec': 20, 'unit': 245033028695127189363110361588930033, 'val': 1}
  • id: 125223
    {'lmfdb_iso': '3675.n', 'p': 89, 'prec': 20, 'unit': 9635212464979301149056115280604717148, 'val': 1}
  • id: 125209
    {'lmfdb_iso': '3675.n', 'p': 97, 'prec': 20, 'unit': 7589751394022832946417299306326478228, 'val': 1}