Elliptic curve data - 4225.m1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4225j', 'Clabel': '4225j2', 'Cnumber': 2, 'abc_quality': 0.9377878821365829, 'absD': 1325562421625, 'adelic_genus': 41, 'adelic_index': 1152, 'adelic_level': 3120, 'ainvs': [1, 1, 0, -58815, -5514400], 'analytic_rank': 1, 'bad_primes': [5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 4225, 'degree': 9984, 'elladic_images': ['16.24.0.22', '3.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3882779002010763125261846458', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2], 'jinv': [16974593, 1], 'lmfdb_iso': '4225.m', 'lmfdb_label': '4225.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -348, -2644], 'min_quad_twist_disc': 13, 'modell_images': ['2B', '3Nn'], 'modm_images': ['2.3.0.a.1', '3.3.0.a.1', '4.6.0.d.1', '6.9.0.a.1', '8.12.0.w.1', '12.18.0.k.1', '16.24.0.o.1', '24.72.2.hl.2', '30.18.0.c.1', '39.6.0.b.1', '40.24.0.el.2', '48.144.5.eo.1', '60.36.0.bz.1', '78.18.0.?', '80.48.1.?', '104.24.0.?', '120.144.5.?', '130.6.0.?', '156.36.1.?', '208.48.1.?', '240.288.13.?', '260.24.0.?', '312.144.7.?', '390.36.1.?', '520.96.1.?', '624.288.17.?', '780.144.3.?', '1040.192.5.?', '1560.576.17.?', '3120.1152.41.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '19.248444164920743775861178030', 'prec': 97}, 'semistable': False, 'serre_invariants': [[5, 10, 169], [13, 62, 25]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.93779359600360133316412076868', 'prec': 97}, 'szpiro_ratio': 5.337320584807148, '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, 2, -1, 0, 2, 0, -3, 1, 0, 2, -2, 0, 0, 0, -1, 0, 1, -6, 0], 'aplist': [1, 2, 0, 0, 2, 0, 0, -6, -6, -6, -6, 6, 8, 6, -8, -12, -2, 6, -12, 2, 6, 0, -4, 8, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 4225, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '4225.m', 'trace_hash': 790952691886175671}
• 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': '0.062252548768566231922856387996', 'prec': 97}, 'conductor': 4225, 'gens': [[-1221630881, 1809973183001, 2958]], 'heights': [{'__RealLiteral__': 0, 'data': '19.248444164920743775861178030', 'prec': 97}], 'lmfdb_label': '4225.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.30656890525796132682833489721', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9009744555587460273154025488031355495', 'prec': 127}, 'tamagawa_product': 4, 'torsion_generators': [[-565, 565, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': [1, 0], '5': 'a', '7': [1, 1, 0], '11': [1, 0], '13': 'a', '17': [1, 1, 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': '4225.m1'}
• ec_torsion_growth •

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

  
  
  • id: 220644
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '4225.m1', 'torsion': [2, 2]}
  • id: 220645
    {'degree': 4, 'field': [260, 0, 65, 0, 1], 'lmfdb_label': '4225.m1', 'torsion': [2, 4]}
  • id: 220647
    {'degree': 8, 'field': [-439, -73, 1, -4, 74, -2, -16, -1, 1], 'lmfdb_label': '4225.m1', 'torsion': [6]}
  • id: 220646
    {'degree': 8, 'field': [-49, -257, -440, -197, 124, 57, -20, -3, 1], 'lmfdb_label': '4225.m1', 'torsion': [2, 4]}
  • id: 220648
    {'degree': 16, 'field': [2401, 0, 22929, 0, 80190, 0, 116671, 0, 53794, 0, 10271, 0, 990, 0, 49, 0, 1], 'lmfdb_label': '4225.m1', 'torsion': [4, 4]}
  • id: 220651
    {'degree': 16, 'field': [2601, 0, 4290, 0, 9013, 0, 1755, 0, 864, 0, -195, 0, -48, 0, 0, 0, 1], 'lmfdb_label': '4225.m1', 'torsion': [2, 6]}
  • id: 220650
    {'degree': 16, 'field': [192721, 32047, 5768, -3585, 32195, 11678, 13844, 1315, 6069, -350, 1186, 176, 180, 20, 17, -1, 1], 'lmfdb_label': '4225.m1', 'torsion': [3, 6]}
  • id: 220649
    {'degree': 16, 'field': [2421136, 0, 2913296, 0, 1462220, 0, 395964, 0, 61009, 0, 4744, 0, 70, 0, -4, 0, 1], 'lmfdb_label': '4225.m1', 'torsion': [2, 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: 79659
    {'conductor': 4225, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '4225.m1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 79660
    {'conductor': 4225, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4225.m1', '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: 1691506
    {'adelic_gens': [[2117, 48, 660, 1313], [3073, 48, 3072, 49], [1, 24, 24, 577], [1, 0, 48, 1], [1424, 3103, 1, 256], [1727, 48, 2454, 689], [1904, 27, 1917, 2144], [33, 16, 2000, 2577], [1, 48, 0, 1], [19, 18, 210, 199], [2081, 48, 0, 1]], 'adelic_image': '3120.1152.41.?', 'conductor': 4225, 'lmfdb_label': '4225.m1', 'prime': 0}
  • id: 21031
    {'conductor': 4225, 'elladic_image': '16.24.0.22', 'lmfdb_label': '4225.m1', 'modell_image': '2B', 'prime': 2}
  • id: 21032
    {'conductor': 4225, 'elladic_image': '3.3.0.1', 'lmfdb_label': '4225.m1', 'modell_image': '3Nn', 'prime': 3}
• ec_padic •

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

  
  
  • id: 149782
    {'lmfdb_iso': '4225.m', 'p': 11, 'prec': 20, 'unit': 534843817399685446, 'val': 1}
  • id: 149783
    {'lmfdb_iso': '4225.m', 'p': 19, 'prec': 20, 'unit': 1087797263328562428013196, 'val': 1}
  • id: 149786
    {'lmfdb_iso': '4225.m', 'p': 23, 'prec': 20, 'unit': 25565534506860161281786597, 'val': 1}
  • id: 149780
    {'lmfdb_iso': '4225.m', 'p': 29, 'prec': 20, 'unit': 4988591861938015843118477327, 'val': 1}
  • id: 149790
    {'lmfdb_iso': '4225.m', 'p': 31, 'prec': 20, 'unit': 18650066728649327411796249732, 'val': 1}
  • id: 149776
    {'lmfdb_iso': '4225.m', 'p': 37, 'prec': 20, 'unit': 262218192749528108388935222714, 'val': 1}
  • id: 149778
    {'lmfdb_iso': '4225.m', 'p': 41, 'prec': 20, 'unit': 830324062080989439455988688435, 'val': 1}
  • id: 149779
    {'lmfdb_iso': '4225.m', 'p': 43, 'prec': 20, 'unit': 2111877201817536211773801589815, 'val': 1}
  • id: 149781
    {'lmfdb_iso': '4225.m', 'p': 47, 'prec': 20, 'unit': 17083724170698251522882539710346, 'val': 1}
  • id: 149784
    {'lmfdb_iso': '4225.m', 'p': 53, 'prec': 20, 'unit': 422659705953268589631027673836539, 'val': 1}
  • id: 149788
    {'lmfdb_iso': '4225.m', 'p': 59, 'prec': 20, 'unit': 3594918043864629484453424498369644, 'val': 1}
  • id: 149789
    {'lmfdb_iso': '4225.m', 'p': 61, 'prec': 20, 'unit': 4670402196094124087605955625912643, 'val': 1}
  • id: 149775
    {'lmfdb_iso': '4225.m', 'p': 67, 'prec': 20, 'unit': 36640654258099938176993914617456870, 'val': 1}
  • id: 149777
    {'lmfdb_iso': '4225.m', 'p': 71, 'prec': 20, 'unit': 86799863402449913725588880599704799, 'val': 1}
  • id: 149785
    {'lmfdb_iso': '4225.m', 'p': 73, 'prec': 20, 'unit': 231198843104227557857675069414221092, 'val': 1}
  • id: 149774
    {'lmfdb_iso': '4225.m', 'p': 83, 'prec': 20, 'unit': 895153394840523593758236264100136082, 'val': 1}
  • id: 149787
    {'lmfdb_iso': '4225.m', 'p': 89, 'prec': 20, 'unit': 9318737610383649448496780920644570666, 'val': 1}
  • id: 149773
    {'lmfdb_iso': '4225.m', 'p': 97, 'prec': 20, 'unit': 34136516315983211541724033889717366703, 'val': 1}