Elliptic curve data - 127050.is1

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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': '127050hy', 'Clabel': '127050hy6', 'Cnumber': 6, 'abc_quality': 1.0369284989490737, 'absD': 87194017968750, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 18480, 'ainvs': [1, 0, 0, -50820063, 139440111867], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 127050, 'degree': 7864320, 'elladic_images': ['16.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7404240220903674127927785036', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 226, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [524388516989299201, 3150], 'lmfdb_iso': '127050.is', 'lmfdb_label': '127050.is1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -16800, -845133], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.n.1', '16.24.0.e.1', '56.24.0.bh.1', '112.48.0.?', '120.24.0.?', '220.12.0.?', '240.48.0.?', '264.24.0.?', '440.24.0.?', '528.48.0.?', '840.48.0.?', '880.48.0.?', '1320.48.0.?', '1680.96.1.?', '1848.48.0.?', '2640.96.0.?', '3080.48.0.?', '3696.96.0.?', '6160.96.0.?', '9240.96.0.?', '18480.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.4357654882900775537414363072', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.73675742947413195346142704800', 'prec': 103}, 'szpiro_ratio': 5.517627169833382, '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, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, -2, 1, 0, 1, 2, 1, 4, 0], 'aplist': [1, 1, 0, 1, 0, -2, 2, 4, 8, -6, -8, 2, -2, -12, 8, -6, 4, 2, -12, 8, -14, 0, 12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 127050, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '127050.is', 'trace_hash': 2165244134125400566}
• 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': '0.0041657954209395623359176692135', 'prec': 110}, 'conductor': 127050, 'gens': [[20819, 989047, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '6.4357654882900775537414363072', 'prec': 100}], 'lmfdb_label': '127050.is1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.29469120508047597745960474930', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '15.172507898876326897811604465069578147', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[16463, -16463, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [2, 0], '5': 'a', '7': [2, 0], '11': 'a', '13': [1, 0], '17': [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': '127050.is1'}
• ec_torsion_growth •

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

  
  
  • id: 5785298
    {'degree': 2, 'field': [-770, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [4]}
  • id: 5785297
    {'degree': 2, 'field': [-55, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [4]}
  • id: 5785296
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 2]}
  • id: 5785300
    {'degree': 4, 'field': [100, 0, -35, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [8]}
  • id: 5785299
    {'degree': 4, 'field': [1681, 0, -138, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 4]}
  • id: 5785301
    {'degree': 4, 'field': [3969, 0, -336, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [8]}
  • id: 5785304
    {'degree': 8, 'field': [37636, 0, -21756, 0, 3581, 0, -126, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 8]}
  • id: 5785303
    {'degree': 8, 'field': [60424, -1792, 3080, -2632, 1457, -172, 62, -4, 1], 'lmfdb_label': '127050.is1', 'torsion': [8]}
  • id: 5785306
    {'degree': 8, 'field': [133310, -63500, -7594, 2001, 1020, -45, -5, -4, 1], 'lmfdb_label': '127050.is1', 'torsion': [6]}
  • id: 5785305
    {'degree': 8, 'field': [705600, 0, -176400, 0, 12210, 0, -210, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [16]}
  • id: 5785302
    {'degree': 8, 'field': [4064256, 0, 0, 0, 2898, 0, 0, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 4]}
  • id: 5785310
    {'degree': 16, 'field': [30921346, -675096840, 2634935396, 2549009760, -911307650, -1161493080, -44260576, 144559140, 20304259, -6859380, -1351876, 119460, 31870, -660, -304, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 16]}
  • id: 5785308
    {'degree': 16, 'field': [1148803236, 0, -801356976, 0, 234781708, 0, -32087664, 0, 2675093, 0, -143748, 0, 5102, 0, -108, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 8]}
  • id: 5785312
    {'degree': 16, 'field': [1218149604, 0, -796371912, 0, 193766580, 0, -27280819, 0, 2484470, 0, -145711, 0, 5293, 0, -110, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [12]}
  • id: 5785311
    {'degree': 16, 'field': [20522198764, 39265903784, 7591872980, 4235139388, 3428663818, -1139199672, 382263261, -43950300, -6520332, 1270998, -109959, -37476, 7045, 734, -106, -8, 1], 'lmfdb_label': '127050.is1', 'torsion': [2, 6]}
  • id: 5785313
    {'degree': 16, 'field': [59596672930, 189256214380, 112006275450, 6793536880, -853714940, -1342575600, -124613109, 2447688, 3242904, 812022, -25791, 4440, -221, -218, 6, -8, 1], 'lmfdb_label': '127050.is1', 'torsion': [12]}
  • id: 5785307
    {'degree': 16, 'field': [16541749794025, 0, -141532582960, 0, 24175715536, 0, -194166952, 0, 16428454, 0, -11536, 0, 5824, 0, 8, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [4, 4]}
  • id: 5785309
    {'degree': 16, 'field': [664809808616836, 0, -73833702451616, 0, 3030482936812, 0, -58775999768, 0, 2560308925, 0, -44258252, 0, 307162, 0, -884, 0, 1], 'lmfdb_label': '127050.is1', 'torsion': [16]}
• 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: 3132049
    {'conductor': 127050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '127050.is1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3132050
    {'conductor': 127050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '127050.is1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3132051
    {'conductor': 127050, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '127050.is1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3132052
    {'conductor': 127050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '127050.is1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3132053
    {'conductor': 127050, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '127050.is1', 'prime': 11, '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: 2492340
    {'adelic_gens': [[5, 4, 18476, 18477], [5468, 10505, 10923, 15962], [1, 16, 0, 1], [496, 15125, 14355, 10066], [12893, 15136, 10384, 1365], [18465, 16, 18464, 17], [3158, 10505, 8613, 15962], [1, 0, 16, 1], [15, 2, 18382, 18467], [6719, 0, 0, 18479], [659, 3344, 5632, 17115]], 'adelic_image': '18480.192.1.?', 'conductor': 127050, 'lmfdb_label': '127050.is1', 'prime': 0}
  • id: 496121
    {'conductor': 127050, 'elladic_image': '16.24.0.1', 'lmfdb_label': '127050.is1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6658021
    {'lmfdb_iso': '127050.is', 'p': 13, 'prec': 20, 'unit': 1193059220130821850376, 'val': 1}
  • id: 6658023
    {'lmfdb_iso': '127050.is', 'p': 17, 'prec': 20, 'unit': 155842687408698323528463, 'val': 1}
  • id: 6658024
    {'lmfdb_iso': '127050.is', 'p': 19, 'prec': 20, 'unit': 214339933495498893761609, 'val': 1}
  • id: 6658027
    {'lmfdb_iso': '127050.is', 'p': 23, 'prec': 20, 'unit': 1629757477408323561006861, 'val': 1}
  • id: 6658020
    {'lmfdb_iso': '127050.is', 'p': 29, 'prec': 20, 'unit': 1421237807580845617251488654, 'val': 1}
  • id: 6658031
    {'lmfdb_iso': '127050.is', 'p': 31, 'prec': 20, 'unit': 10578708038135216991367411880, 'val': 1}
  • id: 6658016
    {'lmfdb_iso': '127050.is', 'p': 37, 'prec': 20, 'unit': 13343991792424518812853580003, 'val': 1}
  • id: 6658018
    {'lmfdb_iso': '127050.is', 'p': 41, 'prec': 20, 'unit': 1102618747792555897192601472647, 'val': 1}
  • id: 6658019
    {'lmfdb_iso': '127050.is', 'p': 43, 'prec': 20, 'unit': 8555541649129922469473640280886, 'val': 1}
  • id: 6658022
    {'lmfdb_iso': '127050.is', 'p': 47, 'prec': 20, 'unit': 9404638295095806497206087073199, 'val': 1}
  • id: 6658025
    {'lmfdb_iso': '127050.is', 'p': 53, 'prec': 20, 'unit': 419149309766049255537879474911989, 'val': 1}
  • id: 6658029
    {'lmfdb_iso': '127050.is', 'p': 59, 'prec': 20, 'unit': 3750233564600054888905873453320664, 'val': 1}
  • id: 6658030
    {'lmfdb_iso': '127050.is', 'p': 61, 'prec': 20, 'unit': 5550874910791264292014868803359570, 'val': 1}
  • id: 6658015
    {'lmfdb_iso': '127050.is', 'p': 67, 'prec': 20, 'unit': 34070836340652094419543034866993395, 'val': 1}
  • id: 6658017
    {'lmfdb_iso': '127050.is', 'p': 71, 'prec': 20, 'unit': 85631483614876808272079131453243348, 'val': 1}
  • id: 6658026
    {'lmfdb_iso': '127050.is', 'p': 73, 'prec': 20, 'unit': 71797749336611962867332322675037983, 'val': 1}
  • id: 6658014
    {'lmfdb_iso': '127050.is', 'p': 83, 'prec': 20, 'unit': 1606944482616144959289550159346902033, 'val': 1}
  • id: 6658028
    {'lmfdb_iso': '127050.is', 'p': 89, 'prec': 20, 'unit': 947056458910067703281985388274315627, 'val': 1}
  • id: 6658013
    {'lmfdb_iso': '127050.is', 'p': 97, 'prec': 20, 'unit': 38501475401920333869170772536706136860, 'val': 1}