Elliptic curve data - 5780.f4

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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': '5780e', 'Clabel': '5780e2', 'Cnumber': 2, 'abc_quality': 0.8396384887826309, 'absD': 154480441600, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 2040, 'ainvs': [0, -1, 0, 1060, 13112], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 5780, 'degree': 4608, 'elladic_images': ['4.6.0.5', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83323016679256072365935728909', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21296, 25], 'lmfdb_iso': '5780.f', 'lmfdb_label': '5780.f4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 4, 4], 'min_quad_twist_disc': 17, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.a.1', '6.12.0.a.1', '12.24.0.d.1', '20.12.0.d.1', '24.48.0.bh.1', '40.24.0.bc.1', '51.8.0-3.a.1.2', '60.48.1.h.1', '102.24.0.?', '120.192.9.?', '136.12.0.?', '204.48.0.?', '408.96.0.?', '680.48.0.?', '1020.96.1.?', '2040.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3275609495947492617273771829', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 289], [5, 6, 1156], [17, 146, 20]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0454746256088441894102314342', 'prec': 103}, 'szpiro_ratio': 3.7564401900661113, '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, 2, 0, 1, 0, -2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, -4, 0], 'aplist': [0, 2, 1, -2, 0, 2, 0, -4, -6, -6, 4, -2, -6, -10, -6, -6, 12, -2, 2, 12, -2, -8, 6, -6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 5780, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '5780.f', 'trace_hash': 251337070581761484}
• 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': '0.18891457814353324044610129986', 'prec': 103}, 'conductor': 5780, 'gens': [[142, 1734, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3275609495947492617273771829', 'prec': 100}], 'lmfdb_label': '5780.f4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.68501159039213533704418373703', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4563678245463556470593824579505264863', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[-11, 0, 1]], 'xcoord_integral_points': [-11, 142]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': 'a', '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': '5780.f4'}
• ec_torsion_growth •

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

  
  
  • id: 300888
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '5780.f4', 'torsion': [6]}
  • id: 300887
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 2]}
  • id: 300889
    {'degree': 4, 'field': [-289, 0, -17, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [4]}
  • id: 300890
    {'degree': 4, 'field': [16, 0, 9, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 6]}
  • id: 300891
    {'degree': 6, 'field': [535, -205, 10, 29, 8, -3, 1], 'lmfdb_label': '5780.f4', 'torsion': [6]}
  • id: 300894
    {'degree': 8, 'field': [256, 0, 144, 0, -33, 0, -9, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [12]}
  • id: 300893
    {'degree': 8, 'field': [3025, 2750, 1250, -510, 174, 34, 2, -2, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 4]}
  • id: 300892
    {'degree': 8, 'field': [4225, 0, -2204, 0, 454, 0, -36, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 4]}
  • id: 300895
    {'degree': 12, 'field': [5041, 0, -8845, 0, 6678, 0, -1625, 0, 258, 0, -25, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [3, 6]}
  • id: 300896
    {'degree': 12, 'field': [286225, 0, 31325, 0, 20550, 0, 841, 0, 258, 0, -7, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 6]}
  • id: 300900
    {'degree': 16, 'field': [160889, -6906, 144632, 38482, 83342, -12156, 67810, -31250, 31331, -12052, 6894, -1906, 758, -138, 42, -4, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 12]}
  • id: 300899
    {'degree': 16, 'field': [337826, 206384, 545392, 167292, 292132, 33844, 87842, 1904, 20487, 156, 3518, -8, 392, -4, 28, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [2, 12]}
  • id: 300897
    {'degree': 16, 'field': [1437601, 0, 8099184, 0, 6671194, 0, 2400236, 0, 454375, 0, 47836, 0, 2794, 0, 84, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [4, 4]}
  • id: 300898
    {'degree': 16, 'field': [125529616, 0, 161968800, 0, 16309456, 0, -1981200, 0, -226884, 0, 14760, 0, 716, 0, -60, 0, 1], 'lmfdb_label': '5780.f4', 'torsion': [8]}
  • id: 300901
    {'degree': 18, 'field': [-247307, -3693, 515418, 399146, -665037, -396717, 423680, 195363, -148404, -61813, 33132, 12603, -5200, -1557, 561, 106, -36, -3, 1], 'lmfdb_label': '5780.f4', '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: 113954
    {'conductor': 5780, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '5780.f4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 113955
    {'conductor': 5780, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5780.f4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 113956
    {'conductor': 5780, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5780.f4', 'prime': 17, 'reduction_type': 0, '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: 1701747
    {'adelic_gens': [[2017, 24, 2016, 25], [1191, 1564, 1343, 1973], [13, 24, 1332, 733], [1021, 1224, 1326, 1225], [477, 850, 884, 341], [1799, 0, 0, 2039], [15, 16, 314, 335], [1, 24, 0, 1], [579, 136, 646, 1803], [1, 0, 24, 1]], 'adelic_image': '2040.384.9.?', 'conductor': 5780, 'lmfdb_label': '5780.f4', 'prime': 0}
  • id: 28486
    {'conductor': 5780, 'elladic_image': '4.6.0.5', 'lmfdb_label': '5780.f4', 'modell_image': '2B', 'prime': 2}
  • id: 28487
    {'conductor': 5780, 'elladic_image': '3.4.0.1', 'lmfdb_label': '5780.f4', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 221089
    {'lmfdb_iso': '5780.f', 'p': 7, 'prec': 20, 'unit': 6325361290851661, 'val': 1}
  • id: 221093
    {'lmfdb_iso': '5780.f', 'p': 13, 'prec': 20, 'unit': 1299281852769061568883, 'val': 1}
  • id: 221096
    {'lmfdb_iso': '5780.f', 'p': 19, 'prec': 20, 'unit': 288065678174335363495971, 'val': 1}
  • id: 221099
    {'lmfdb_iso': '5780.f', 'p': 23, 'prec': 20, 'unit': 28090912681333045215867882, 'val': 1}
  • id: 221092
    {'lmfdb_iso': '5780.f', 'p': 29, 'prec': 20, 'unit': 5283832602454909231612590838, 'val': 1}
  • id: 221104
    {'lmfdb_iso': '5780.f', 'p': 31, 'prec': 20, 'unit': 6564821265630764754100670075, 'val': 1}
  • id: 221088
    {'lmfdb_iso': '5780.f', 'p': 37, 'prec': 20, 'unit': 312806015836178597189275489182, 'val': 1}
  • id: 221090
    {'lmfdb_iso': '5780.f', 'p': 41, 'prec': 20, 'unit': 2825261676953436442810378061115, 'val': 1}
  • id: 221091
    {'lmfdb_iso': '5780.f', 'p': 43, 'prec': 20, 'unit': 5699233356833778048898085017283, 'val': 1}
  • id: 221102
    {'lmfdb_iso': '5780.f', 'p': 47, 'prec': 20, 'unit': 47082139655241480162710286205443, 'val': 1}
  • id: 221097
    {'lmfdb_iso': '5780.f', 'p': 53, 'prec': 20, 'unit': 370645693531152207157908401707992, 'val': 1}
  • id: 221095
    {'lmfdb_iso': '5780.f', 'p': 59, 'prec': 20, 'unit': 810590689041634847284385005542183, 'val': 1}
  • id: 221103
    {'lmfdb_iso': '5780.f', 'p': 61, 'prec': 20, 'unit': 4285671801735300520231409643418118, 'val': 1}
  • id: 221087
    {'lmfdb_iso': '5780.f', 'p': 67, 'prec': 20, 'unit': 5641981583055795071255990244247986, 'val': 1}
  • id: 221101
    {'lmfdb_iso': '5780.f', 'p': 71, 'prec': 20, 'unit': 123855382566560557845602369151528703, 'val': 1}
  • id: 221098
    {'lmfdb_iso': '5780.f', 'p': 73, 'prec': 20, 'unit': 111783561524687857734756958340654148, 'val': 1}
  • id: 221094
    {'lmfdb_iso': '5780.f', 'p': 79, 'prec': 20, 'unit': 673731922417715753523556229752741234, 'val': 1}
  • id: 221086
    {'lmfdb_iso': '5780.f', 'p': 83, 'prec': 20, 'unit': 2506647502306340908946848720747071591, 'val': 1}
  • id: 221100
    {'lmfdb_iso': '5780.f', 'p': 89, 'prec': 20, 'unit': 3664760388256640521934939935491555735, 'val': 1}
  • id: 221085
    {'lmfdb_iso': '5780.f', 'p': 97, 'prec': 20, 'unit': 32541695740393140042093660008863257147, 'val': 1}