Elliptic curve data - 1584.h3

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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': '1584l', 'Clabel': '1584l1', 'Cnumber': 1, 'abc_quality': 0.9258126221887728, 'absD': 3547348992, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 264, 'ainvs': [0, 0, 0, -795, 8138], 'analytic_rank': 1, 'bad_primes': [2, 3, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1584, 'degree': 768, 'elladic_images': ['8.6.0.4', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.58307020640466554785435276890', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [18609625, 1188], 'lmfdb_iso': '1584.h', 'lmfdb_label': '1584.h3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -6, 4], 'min_quad_twist_disc': 12, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.d.1', '12.24.0-6.a.1.9', '24.48.0-24.bx.1.1', '66.24.0.b.1', '132.48.0.?', '264.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.49143919048546790482802661903', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 99], [3, 2, 176], [11, 12, 144]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.65938311848933460726050197102', 'prec': 107}, 'szpiro_ratio': 4.295586486055508, '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, 0, 0, 0, 0, -2, 0, 0, 0, -1, 0, -4, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, 0, -2, -1, -4, 6, 4, 6, -6, -8, -10, -6, -8, -6, 0, 0, 8, 4, 6, 2, -14, -12, 6, 14], 'class_deg': 6, 'class_size': 4, 'conductor': 1584, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1584.h', 'trace_hash': 1447341610129975331}
• 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': '0.31156714419042514881508750691', 'prec': 103}, 'conductor': 1584, 'gens': [[7, 54, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.49143919048546790482802661903', 'prec': 103}], 'lmfdb_label': '1584.h3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3806029024046847885334237899', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7139294909585829724483276512681881256', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[13, 0, 1]], 'xcoord_integral_points': [-19, 7, 13, 22, 61]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 3, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1584.h3'}
• ec_torsion_growth •

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

  
  
  • id: 78549
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 2]}
  • id: 78550
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [6]}
  • id: 78552
    {'degree': 4, 'field': [4, 0, -7, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 6]}
  • id: 78551
    {'degree': 4, 'field': [9, -8, 0, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [4]}
  • id: 78553
    {'degree': 6, 'field': [169, 0, 75, 0, 15, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [6]}
  • id: 78556
    {'degree': 8, 'field': [4, -8, 12, 0, -2, 0, 6, -4, 1], 'lmfdb_label': '1584.h3', 'torsion': [12]}
  • id: 78555
    {'degree': 8, 'field': [36, 0, 204, 0, 13, 0, 10, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 4]}
  • id: 78554
    {'degree': 8, 'field': [64, 136, 14, -41, -23, -16, -10, -1, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 4]}
  • id: 78558
    {'degree': 12, 'field': [36, 0, -60, 0, 16, 0, 1, 0, 3, 0, 7, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 6]}
  • id: 78557
    {'degree': 12, 'field': [169, -286, 449, -348, 222, -38, -19, 22, 8, -20, 15, -6, 1], 'lmfdb_label': '1584.h3', 'torsion': [3, 6]}
  • id: 78561
    {'degree': 16, 'field': [1, 0, 12, 0, -47, 0, 108, 0, 336, 0, 108, 0, -47, 0, 12, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 12]}
  • id: 78560
    {'degree': 16, 'field': [36, 0, -72, 0, 321, 0, -732, 0, 436, 0, 70, 0, -48, 0, -8, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [2, 12]}
  • id: 78559
    {'degree': 16, 'field': [4356, 0, 30096, 0, 78076, 0, 53728, 0, 13037, 0, 628, 0, -70, 0, 4, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [8]}
  • id: 78562
    {'degree': 18, 'field': [-432, 0, -2592, 0, 0, 0, 12204, 0, -12852, 0, 5184, 0, -1107, 0, 198, 0, -27, 0, 1], 'lmfdb_label': '1584.h3', 'torsion': [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: 24514
    {'conductor': 1584, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '1584.h3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 24515
    {'conductor': 1584, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '1584.h3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 24516
    {'conductor': 1584, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1584.h3', '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: 1674344
    {'adelic_gens': [[11, 2, 214, 255], [130, 3, 45, 256], [214, 253, 99, 20], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [253, 12, 252, 13], [249, 206, 34, 259], [133, 12, 6, 73]], 'adelic_image': '264.96.1.?', 'conductor': 1584, 'lmfdb_label': '1584.h3', 'prime': 0}
  • id: 7568
    {'conductor': 1584, 'elladic_image': '8.6.0.4', 'lmfdb_label': '1584.h3', 'modell_image': '2B', 'prime': 2}
  • id: 7569
    {'conductor': 1584, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1584.h3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 42290
    {'lmfdb_iso': '1584.h', 'p': 7, 'prec': 20, 'unit': 6014993313446127, 'val': 1}
  • id: 42294
    {'lmfdb_iso': '1584.h', 'p': 13, 'prec': 20, 'unit': 340181794545996601359, 'val': 1}
  • id: 42296
    {'lmfdb_iso': '1584.h', 'p': 17, 'prec': 20, 'unit': 6094653294210488730283, 'val': 2}
  • id: 42297
    {'lmfdb_iso': '1584.h', 'p': 19, 'prec': 20, 'unit': 705030842737564942792696, 'val': 1}
  • id: 42299
    {'lmfdb_iso': '1584.h', 'p': 23, 'prec': 20, 'unit': 54317829158456588554104703, 'val': 1}
  • id: 42293
    {'lmfdb_iso': '1584.h', 'p': 29, 'prec': 20, 'unit': 2723048283227304358031381290, 'val': 1}
  • id: 42304
    {'lmfdb_iso': '1584.h', 'p': 31, 'prec': 20, 'unit': 2632687111033071113867457071, 'val': 1}
  • id: 42289
    {'lmfdb_iso': '1584.h', 'p': 37, 'prec': 20, 'unit': 586656842313606727176835569537, 'val': 1}
  • id: 42291
    {'lmfdb_iso': '1584.h', 'p': 41, 'prec': 20, 'unit': 3341385156176442848700995418878, 'val': 1}
  • id: 42292
    {'lmfdb_iso': '1584.h', 'p': 43, 'prec': 20, 'unit': 4547446670684257643325423973088, 'val': 1}
  • id: 42295
    {'lmfdb_iso': '1584.h', 'p': 47, 'prec': 20, 'unit': 23485511313953087166880049196115, 'val': 1}
  • id: 42303
    {'lmfdb_iso': '1584.h', 'p': 61, 'prec': 20, 'unit': 489085047009136911614601630098516, 'val': 1}
  • id: 42288
    {'lmfdb_iso': '1584.h', 'p': 67, 'prec': 20, 'unit': 575207239767181650855183885441150, 'val': 2}
  • id: 42301
    {'lmfdb_iso': '1584.h', 'p': 71, 'prec': 20, 'unit': 79099450999274001137571793441355665, 'val': 1}
  • id: 42298
    {'lmfdb_iso': '1584.h', 'p': 73, 'prec': 20, 'unit': 236307519853954906173549871095535334, 'val': 1}
  • id: 42302
    {'lmfdb_iso': '1584.h', 'p': 79, 'prec': 20, 'unit': 285957623011034712873194453189189747, 'val': 1}
  • id: 42287
    {'lmfdb_iso': '1584.h', 'p': 83, 'prec': 20, 'unit': 1798753774785873044071035681734502061, 'val': 1}
  • id: 42300
    {'lmfdb_iso': '1584.h', 'p': 89, 'prec': 20, 'unit': 4593863140199816852581636755590474034, 'val': 1}
  • id: 42286
    {'lmfdb_iso': '1584.h', 'p': 97, 'prec': 20, 'unit': 34580272987945657759049251775389403702, 'val': 1}