Elliptic curve data - 334620.be4

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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': '334620be', 'Clabel': '334620be3', 'Cnumber': 3, 'abc_quality': 1.0221529257865163, 'absD': 10537757878254750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 8580, 'ainvs': [0, 0, 0, 484692, 86739757], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 334620, 'degree': 7464960, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3378150296282379669402121159', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 30, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [223673040896, 187171875], 'lmfdb_iso': '334620.be', 'lmfdb_label': '334620.be4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 319, -1356], 'min_quad_twist_disc': -39, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '22.6.0.a.1', '39.8.0-3.a.1.1', '60.24.0.s.1', '66.24.0.a.1', '78.24.0.?', '660.48.1.?', '780.48.0.?', '858.48.0.?', '8580.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.325750267882255603595051055', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.27498514637676631674343506950', 'prec': 103}, 'szpiro_ratio': 4.000346396864518, '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, -1, 0, 4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 6, 0, -2, 0], 'aplist': [0, 0, -1, 4, -1, 0, 6, -2, 0, 0, 4, 10, 0, -4, 12, -6, 12, -10, 4, 0, -8, -10, -6, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 334620, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '334620.be', 'trace_hash': 1954605108977889160}
• 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': '0.0093196513549037312880617899697', 'prec': 110}, 'conductor': 334620, 'gens': [[74045123, 734323526730, 239]], 'heights': [{'__RealLiteral__': 0, 'data': '17.325750267882255603595051055', 'prec': 100}], 'lmfdb_label': '334620.be4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.14777165649163697332275356074', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.241019268181535783224156418640770448', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-169, 0, 1]], 'xcoord_integral_points': [-169]}
• lmfdb_label 334620.be4 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 14020831
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '334620.be4', 'torsion': [6]}
  • id: 14020830
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 2]}
  • id: 14020832
    {'degree': 4, 'field': [-459, -162, -32, -2, 1], 'lmfdb_label': '334620.be4', 'torsion': [4]}
  • id: 14020833
    {'degree': 4, 'field': [36, 0, -1, 0, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 6]}
  • id: 14020834
    {'degree': 6, 'field': [768, 0, 0, -54, 0, 0, 1], 'lmfdb_label': '334620.be4', 'torsion': [6]}
  • id: 14020837
    {'degree': 8, 'field': [-459, -90, -222, 90, 223, -30, -32, 0, 1], 'lmfdb_label': '334620.be4', 'torsion': [12]}
  • id: 14020836
    {'degree': 8, 'field': [305721, 258570, 99606, 15210, -113, -390, -56, 0, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 4]}
  • id: 14020835
    {'degree': 8, 'field': [2785225, 1373820, 278608, -10988, -526, -844, 0, -4, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 4]}
  • id: 14020838
    {'degree': 12, 'field': [2721, -8001, 8145, -1218, -1953, 729, -200, 177, 87, -16, 15, -3, 1], 'lmfdb_label': '334620.be4', 'torsion': [3, 6]}
  • id: 14020839
    {'degree': 12, 'field': [1020405, -878652, 96921, 117372, -7812, -19584, 4759, 246, -156, -2, 33, -6, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 6]}
  • id: 14020842
    {'degree': 16, 'field': [9240804, -11290752, 15735816, -1248408, 1369020, -1006608, 311536, 72556, -42243, 20852, 572, -2436, 350, 164, -12, -8, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 12]}
  • id: 14020841
    {'degree': 16, 'field': [150246097, 98482164, 80301980, -25906188, -27797722, -4047120, 4010292, 859716, 131687, -136752, -39996, 7524, 2930, -132, -88, 0, 1], 'lmfdb_label': '334620.be4', 'torsion': [2, 12]}
  • id: 14020840
    {'degree': 16, 'field': [229435931241, 338582601720, 163458176904, 18213655680, -4508458548, 664072200, 743023512, 100425600, -12561890, -4455000, -39592, 53760, 10812, -360, -184, 0, 1], 'lmfdb_label': '334620.be4', 'torsion': [8]}
  • id: 14020843
    {'degree': 18, 'field': [-1589615091, -5779868292, 4964510223, 1140711333, -759922911, -31916565, -111078321, 14611563, 8964135, 1073558, 174024, -117621, -44661, -3573, 2817, 234, -45, -9, 1], 'lmfdb_label': '334620.be4', '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: 8282377
    {'conductor': 334620, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '334620.be4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 8282378
    {'conductor': 334620, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '334620.be4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 8282379
    {'conductor': 334620, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '334620.be4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 8282380
    {'conductor': 334620, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '334620.be4', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 8282381
    {'conductor': 334620, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '334620.be4', 'prime': 13, 'reduction_type': 0, '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: 3757093
    {'adelic_gens': [[8569, 12, 8568, 13], [1717, 2652, 3042, 7333], [5719, 5928, 4394, 1247], [11, 2, 8530, 8571], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [5939, 0, 0, 8579], [2770, 663, 6513, 6592], [4239, 1378, 3926, 8321]], 'adelic_image': '8580.96.1.?', 'conductor': 334620, 'lmfdb_label': '334620.be4', 'prime': 0}
  • id: 1164131
    {'conductor': 334620, 'elladic_image': '2.3.0.1', 'lmfdb_label': '334620.be4', 'modell_image': '2B', 'prime': 2}
  • id: 1164132
    {'conductor': 334620, 'elladic_image': '3.4.0.1', 'lmfdb_label': '334620.be4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 334620.be does not appear in ec_padic