Elliptic curve data - 152880.ey8

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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': '152880ca', 'Clabel': '152880ca4', 'Cnumber': 4, 'abc_quality': 1.0385713290887169, 'absD': 137175706185336000000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [0, 1, 0, 127568544, -99849231756], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 152880, 'degree': 42467328, 'elladic_images': ['8.12.0.8', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7045778614803658116587322010', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 128, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [476437916651992691759, 284661685546875000], 'lmfdb_iso': '152880.ey', 'lmfdb_label': '152880.ey8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 162715, -4536903], 'min_quad_twist_disc': 28, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.4', '12.48.0.c.3', '24.96.0-12.c.3.10', '28.12.0-4.c.1.2', '56.24.0-56.v.1.3', '84.96.0.?', '168.192.1.?', '520.24.0.?', '1560.192.1.?', '3640.48.0.?', '10920.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 17, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '4.4494652908031958397438848006', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0384756063927638496888237078', 'prec': 100}, 'szpiro_ratio': 5.663381270087787, '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, 1, 0, -1, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, -6, 0, -4, 0], 'aplist': [0, 1, -1, 0, 0, -1, -6, -4, 0, 6, -4, -10, -6, -8, 0, -6, -12, -14, 4, 0, -2, -8, -12, -6, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 152880, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '152880.ey', 'trace_hash': 970657789821161099}
• 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': '0.00060568184200195996051502192535', 'prec': 113}, 'conductor': 152880, 'gens': [[1962, 397488, 1], [9060, 1341522, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.5753422202068065020815232425', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.8900145021897987286120086217', 'prec': 100}], 'lmfdb_label': '152880.ey8', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.033994688260500004507438323742', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.520785806729885467351768180839367857', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[779, 0, 1]], 'xcoord_integral_points': [779, 1962, 6666, 9060, 16404, 26700, 49002, 82575, 110154]}
• lmfdb_label 152880.ey8 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 6862539
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [6]}
  • id: 6862537
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [4]}
  • id: 6862538
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '152880.ey8', 'torsion': [4]}
  • id: 6862536
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 2]}
  • id: 6862543
    {'degree': 4, 'field': [4, 0, -3, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [12]}
  • id: 6862542
    {'degree': 4, 'field': [9, 0, -8, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [12]}
  • id: 6862541
    {'degree': 4, 'field': [9, 0, 8, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 6]}
  • id: 6862540
    {'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 4]}
  • id: 6862544
    {'degree': 6, 'field': [6804, 0, 805, 0, 7, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [6]}
  • id: 6862548
    {'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 12]}
  • id: 6862546
    {'degree': 8, 'field': [2401, 0, -4116, 0, -6328, 0, -84, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [8]}
  • id: 6862547
    {'degree': 8, 'field': [15544, -24480, 14974, -3976, 77, 202, -36, -2, 1], 'lmfdb_label': '152880.ey8', 'torsion': [8]}
  • id: 6862545
    {'degree': 8, 'field': [16900, 0, -2992, 0, 276, 0, 8, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 12]}
  • id: 6862552
    {'degree': 12, 'field': [158488, 51620, -36363, -29204, 11497, 3240, -239, -786, 285, -70, 25, -6, 1], 'lmfdb_label': '152880.ey8', 'torsion': [12]}
  • id: 6862549
    {'degree': 12, 'field': [271188, 732564, 683274, 174510, -57965, -12768, 2213, -3192, 438, -42, 23, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [3, 6]}
  • id: 6862550
    {'degree': 12, 'field': [4347225, 0, -212556, 0, 307987, 0, -568, 0, -69, 0, 20, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 6]}
  • id: 6862551
    {'degree': 12, 'field': [71402500, 0, 10325900, 0, 1066221, 0, 37318, 0, 1635, 0, 2, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [12]}
  • id: 6862554
    {'degree': 16, 'field': [38416, 0, -230496, 0, 2272032, 0, -2016840, 0, 3118801, 0, 144060, 0, 11592, 0, 84, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 8]}
  • id: 6862556
    {'degree': 16, 'field': [38416, 0, 0, 0, -5619712, 0, 0, 0, 3261048, 0, 0, 0, -28672, 0, 0, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [24]}
  • id: 6862553
    {'degree': 16, 'field': [15752961, 0, 0, 0, 0, 0, 0, 0, 134946, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [4, 12]}
  • id: 6862555
    {'degree': 16, 'field': [70619584, -276683008, 452035584, -415518432, 236699988, -77073360, 8194372, 4136744, -1996191, 244932, 69936, -26484, 1418, 604, -84, -4, 1], 'lmfdb_label': '152880.ey8', 'torsion': [2, 8]}
  • id: 6862557
    {'degree': 16, 'field': [241615936, 0, 133758688, 0, 31949492, 0, 4731828, 0, 467273, 0, 32304, 0, 2258, 0, 76, 0, 1], 'lmfdb_label': '152880.ey8', 'torsion': [24]}
  • id: 6862558
    {'degree': 18, 'field': [-331929450025176, -31117473442728, 68962561496028, 2450093815912, -2783624736246, -133563612810, 36931499689, -12759242628, -1511754000, 345579622, -55914921, 1151856, 1057894, -143502, 627, 1996, -120, -6, 1], 'lmfdb_label': '152880.ey8', '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: 3780211
    {'conductor': 152880, 'conductor_valuation': 4, 'discriminant_valuation': 15, 'j_denominator_valuation': 3, 'kodaira_symbol': -11, 'lmfdb_label': '152880.ey8', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3780212
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '152880.ey8', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 3780213
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '152880.ey8', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3780214
    {'conductor': 152880, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '152880.ey8', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3780215
    {'conductor': 152880, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '152880.ey8', '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: 2654821
    {'adelic_gens': [[1, 12, 12, 145], [5461, 24, 7280, 9101], [4201, 24, 6732, 289], [15, 106, 9614, 1691], [8646, 10489, 5915, 7736], [6224, 10917, 9819, 86], [2729, 10896, 2718, 10631], [10897, 24, 10896, 25], [1, 24, 0, 1], [1, 0, 24, 1], [8737, 24, 6564, 289]], 'adelic_image': '10920.384.5.?', 'conductor': 152880, 'lmfdb_label': '152880.ey8', 'prime': 0}
  • id: 585394
    {'conductor': 152880, 'elladic_image': '8.12.0.8', 'lmfdb_label': '152880.ey8', 'modell_image': '2B', 'prime': 2}
  • id: 585395
    {'conductor': 152880, 'elladic_image': '3.4.0.1', 'lmfdb_label': '152880.ey8', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 152880.ey does not appear in ec_padic