Elliptic curve data - 34320.u4

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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': '34320bh', 'Clabel': '34320bh2', 'Cnumber': 2, 'abc_quality': 0.9678702575721215, 'absD': 84062512978329600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 17160, 'ainvs': [0, -1, 0, -373120, 86732800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 34320, 'degree': 368640, 'elladic_images': ['8.48.0.33'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0509609416324301585445744283', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 20, 'isogeny_degrees': [1, 2, 4], 'jinv': [1402524686897642881, 20523074457600], 'lmfdb_iso': '34320.u', 'lmfdb_label': '34320.u4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -23320, -1355200], 'min_quad_twist_disc': -4, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '8.48.0-8.d.2.2', '260.48.0.?', '264.96.0.?', '520.96.0.?', '17160.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 11440], [5, 6, 6864], [11, 12, 3120], [13, 14, 2640]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3578137610724848491273423068', 'prec': 100}, 'szpiro_ratio': 4.7974961174385085, '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, 0, -1, 0, 1, 0, 0, 0, 1, 0, -1, 0, 1, 0, -1, 0, 2, 0, -4, 0], 'aplist': [0, -1, 1, 0, -1, 1, 2, -4, 0, -2, -8, -10, 10, 4, 8, -10, -12, -2, -4, 0, 10, 8, -4, 18, 2], 'class_deg': 8, 'class_size': 6, 'conductor': 34320, 'isogeny_matrix': [[1, 2, 4, 4, 8, 8], [2, 1, 2, 2, 4, 4], [4, 2, 1, 4, 8, 8], [4, 2, 4, 1, 2, 2], [8, 4, 8, 2, 1, 4], [8, 4, 8, 2, 4, 1]], 'lmfdb_iso': '34320.u', 'trace_hash': 1902861162006861297}
• 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': '0.016540855241363855156657066907', 'prec': 107}, 'conductor': 34320, 'gens': [], 'heights': [], 'lmfdb_label': '34320.u4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.34221240175107924908693358999', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3688496070043169963477343599387058421', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[320, 0, 1], [385, 0, 1]], 'xcoord_integral_points': [-704, 320, 385]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': [1, 0], '11': [0, 0], '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '34320.u4'}
• ec_torsion_growth •

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

  
  
  • id: 1704173
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 4]}
  • id: 1704171
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 4]}
  • id: 1704172
    {'degree': 2, 'field': [65, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 4]}
  • id: 1704174
    {'degree': 4, 'field': [256, 0, 33, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [4, 4]}
  • id: 1704179
    {'degree': 8, 'field': [-768, 0, 577, 0, -96, 0, 0, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 6]}
  • id: 1704177
    {'degree': 8, 'field': [256, 32, 2, -70, 41, -10, 8, -4, 1], 'lmfdb_label': '34320.u4', 'torsion': [4, 8]}
  • id: 1704176
    {'degree': 8, 'field': [4096, 0, 0, 0, 161, 0, 0, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 8]}
  • id: 1704175
    {'degree': 8, 'field': [4096, 0, 0, 0, 2273, 0, 0, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 8]}
  • id: 1704178
    {'degree': 8, 'field': [65536, 0, -21186, 0, 1601, 0, -66, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 8]}
  • id: 1704183
    {'degree': 16, 'field': [81796, 0, 621872, 0, 526081, 0, 212244, 0, 26016, 0, -714, 0, -164, 0, 8, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 12]}
  • id: 1704181
    {'degree': 16, 'field': [2105524996, 0, 2472763160, 0, 593538176, 0, 71711220, 0, 5585621, 0, 274680, 0, 8246, 0, 140, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [4, 8]}
  • id: 1704184
    {'degree': 16, 'field': [2324249600, 1779265600, -1183884350, -1104408970, 342015005, 236517960, -53354234, -20471608, 3450590, 1036910, -134562, -37432, 4358, 840, -100, -8, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 12]}
  • id: 1704182
    {'degree': 16, 'field': [7532851264, 0, 516706048, 0, 390684160, 0, 71353041, 0, 5330610, 0, 238209, 0, 7393, 0, 130, 0, 1], 'lmfdb_label': '34320.u4', 'torsion': [2, 12]}
  • id: 1704180
    {'degree': 16, 'field': [13305913344, -5507592192, 6287868672, -1595293632, 883938850, -101975532, 31346242, 2299972, -594903, -18084, 34078, -15492, 1672, 392, -36, -8, 1], 'lmfdb_label': '34320.u4', 'torsion': [4, 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: 805367
    {'conductor': 34320, 'conductor_valuation': 4, 'discriminant_valuation': 24, 'j_denominator_valuation': 12, 'kodaira_symbol': -20, 'lmfdb_label': '34320.u4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 805368
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '34320.u4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 805369
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.u4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 805370
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '34320.u4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 805371
    {'conductor': 34320, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34320.u4', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1893380
    {'adelic_gens': [[17153, 8, 17152, 9], [1, 8, 0, 1], [3439, 2, 3414, 17155], [8585, 4296, 4264, 8549], [5, 4, 17156, 17157], [1, 0, 8, 1], [1327, 2, 3942, 17155], [7801, 4, 0, 1], [17155, 4284, 6, 12877], [11441, 4, 0, 1]], 'adelic_image': '17160.192.1.?', 'conductor': 34320, 'lmfdb_label': '34320.u4', 'prime': 0}
  • id: 152851
    {'conductor': 34320, 'elladic_image': '8.48.0.33', 'lmfdb_label': '34320.u4', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 34320.u does not appear in ec_padic