Elliptic curve data - 72450.f2

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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': '72450m', 'Clabel': '72450m1', 'Cnumber': 1, 'abc_quality': 0.9893974142987292, 'absD': 539794819494000, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 19320, 'ainvs': [1, -1, 0, -95082, 11363876], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 72450, 'degree': 442368, 'elladic_images': ['4.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6689218234317996130421832981', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [-38638468208943, 219395344], 'lmfdb_iso': '72450.f', 'lmfdb_label': '72450.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -95082, 11363876], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.e.1', '28.12.0.n.1', '30.6.0.a.1', '60.12.0.bj.1', '184.12.0.?', '420.24.0.?', '1288.24.0.?', '2760.24.0.?', '19320.48.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.38208047179699081421472758728', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.44260312882219225084555953710', 'prec': 103}, 'szpiro_ratio': 4.111543998157823, '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, 0, 1, 0, 0, -1, -1, 0, 0, -4, 0, 0, 1, 0, 1, -6, 0, 0, 0], 'aplist': [-1, 0, 0, -1, -4, 0, -6, 0, 1, -4, -4, -8, 4, 4, 12, -10, 0, -6, -12, 12, 12, 8, 8, 0, -16], 'class_deg': 2, 'class_size': 2, 'conductor': 72450, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '72450.f', 'trace_hash': 1219785463797298902}
• 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': '0.035513454764203277052599613660', 'prec': 107}, 'conductor': 72450, 'gens': [[104, 1558, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38208047179699081421472758728', 'prec': 103}], 'lmfdb_label': '72450.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.52266760241848638417390486334', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1952173460009167165987440205629844482', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-356, 178, 1]], 'xcoord_integral_points': [-356, -235, 104, 173, 184, 265]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [3, 1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '72450.f2'}
• ec_torsion_growth •

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

  
  
  • id: 3434313
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '72450.f2', 'torsion': [2, 2]}
  • id: 3434314
    {'degree': 4, 'field': [1, -8, 9, -2, 1], 'lmfdb_label': '72450.f2', 'torsion': [4]}
  • id: 3434317
    {'degree': 8, 'field': [-19200, 0, -5300, 0, 480, 0, 0, 0, 1], 'lmfdb_label': '72450.f2', 'torsion': [6]}
  • id: 3434316
    {'degree': 8, 'field': [1, 0, -11, 0, 36, 0, -11, 0, 1], 'lmfdb_label': '72450.f2', 'torsion': [2, 4]}
  • id: 3434315
    {'degree': 8, 'field': [46, -58, 125, -88, 94, -32, 20, -2, 1], 'lmfdb_label': '72450.f2', 'torsion': [2, 4]}
  • id: 3434318
    {'degree': 16, 'field': [2116, 0, -8136, 0, 14065, 0, -13884, 0, 8064, 0, -2634, 0, 460, 0, -36, 0, 1], 'lmfdb_label': '72450.f2', 'torsion': [4, 4]}
  • id: 3434319
    {'degree': 16, 'field': [14641, 0, 329228, 0, 553730, 0, 2829548, 0, -431261, 0, 18532, 0, -310, 0, -8, 0, 1], 'lmfdb_label': '72450.f2', 'torsion': [8]}
  • id: 3434320
    {'degree': 16, 'field': [32019466, -74302899, 55381096, -15320977, 21964747, 8485715, -1872717, 112208, 216717, 140123, 41790, 8015, 805, -259, 31, -6, 1], 'lmfdb_label': '72450.f2', 'torsion': [2, 6]}
• 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: 1756923
    {'conductor': 72450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '72450.f2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1756924
    {'conductor': 72450, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '72450.f2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1756925
    {'conductor': 72450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '72450.f2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1756926
    {'conductor': 72450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '72450.f2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1756927
    {'conductor': 72450, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '72450.f2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2143157
    {'adelic_gens': [[19313, 8, 19312, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [3, 8, 19312, 19299], [5, 8, 48, 77], [6, 19, 6433, 19298], [9665, 14492, 14512, 9669], [13805, 2, 2782, 9], [9665, 14492, 14492, 4831], [15462, 19, 7721, 19298], [6721, 8, 7564, 33]], 'adelic_image': '19320.48.1.?', 'conductor': 72450, 'lmfdb_label': '72450.f2', 'prime': 0}
  • id: 300991
    {'conductor': 72450, 'elladic_image': '4.6.0.4', 'lmfdb_label': '72450.f2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3718422
    {'lmfdb_iso': '72450.f', 'p': 11, 'prec': 20, 'unit': 43576515096881586844, 'val': 1}
  • id: 3718429
    {'lmfdb_iso': '72450.f', 'p': 17, 'prec': 20, 'unit': 105957356890386367893470, 'val': 1}
  • id: 3718427
    {'lmfdb_iso': '72450.f', 'p': 29, 'prec': 20, 'unit': 2733811423555031256215053995, 'val': 1}
  • id: 3718435
    {'lmfdb_iso': '72450.f', 'p': 31, 'prec': 20, 'unit': 259737882949031323243832207, 'val': 1}
  • id: 3718423
    {'lmfdb_iso': '72450.f', 'p': 37, 'prec': 20, 'unit': 251109174715145177196939438369, 'val': 1}
  • id: 3718425
    {'lmfdb_iso': '72450.f', 'p': 41, 'prec': 20, 'unit': 744846259321399497147988014342, 'val': 1}
  • id: 3718426
    {'lmfdb_iso': '72450.f', 'p': 43, 'prec': 20, 'unit': 5554089776453096221083127700957, 'val': 1}
  • id: 3718428
    {'lmfdb_iso': '72450.f', 'p': 47, 'prec': 20, 'unit': 8260580300794490800394742881389, 'val': 1}
  • id: 3718431
    {'lmfdb_iso': '72450.f', 'p': 53, 'prec': 20, 'unit': 258657149831837492552099555166504, 'val': 1}
  • id: 3718434
    {'lmfdb_iso': '72450.f', 'p': 61, 'prec': 20, 'unit': 2297189757768267969519104003330050, 'val': 1}
  • id: 3718421
    {'lmfdb_iso': '72450.f', 'p': 67, 'prec': 20, 'unit': 15974638504200504707704471103264048, 'val': 1}
  • id: 3718424
    {'lmfdb_iso': '72450.f', 'p': 71, 'prec': 20, 'unit': 21492843799898166123249579226575661, 'val': 1}
  • id: 3718432
    {'lmfdb_iso': '72450.f', 'p': 73, 'prec': 20, 'unit': 115188671403061953100554494643667961, 'val': 1}
  • id: 3718433
    {'lmfdb_iso': '72450.f', 'p': 79, 'prec': 20, 'unit': 943633640585925751305101889804164192, 'val': 1}
  • id: 3718430
    {'lmfdb_iso': '72450.f', 'p': 83, 'prec': 20, 'unit': 1662000224470583442974647911782372064, 'val': 1}
  • id: 3718420
    {'lmfdb_iso': '72450.f', 'p': 97, 'prec': 20, 'unit': 5790596709672737896032633554249889610, 'val': 1}