Elliptic curve data - 117600.em1

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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': '117600dh', 'Clabel': '117600dh4', 'Cnumber': 4, 'abc_quality': 0.9759310136796975, 'absD': 19765032000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [0, 1, 0, -274808, 55356888], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 117600, 'degree': 786432, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7190408027579951197984071021', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 116, 'isogeny_degrees': [1, 2, 4], 'jinv': [2438569736, 21], 'lmfdb_iso': '117600.em', 'lmfdb_label': '117600.em1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -224, 1368], 'min_quad_twist_disc': 140, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.2', '24.12.0.bb.1', '56.12.0.ba.1', '120.24.0.?', '168.24.0.?', '280.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1907401175290959411610368347', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57849361340667070211757302733', 'prec': 107}, 'szpiro_ratio': 4.212839728901802, '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, 1, 0, 0, 0, 0, 0, 1, 0, -4, 0, -6, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 0, -4, -6, -2, -4, 4, -2, -8, 10, 2, -8, 0, 10, 12, -10, 8, 12, 2, 0, 12, -6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 117600, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '117600.em', 'trace_hash': 977661367324786435}
• 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': '0.032126257083900603252105584921', 'prec': 107}, 'conductor': 117600, 'gens': [[1221, 687, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1907401175290959411610368347', 'prec': 100}], 'lmfdb_label': '117600.em1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.61627963572924726908461622611', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3978948575920428074695166786476520593', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[303, 0, 1]], 'xcoord_integral_points': [303]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': 'a', '7': 'a', '11': [1, 0], '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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '117600.em1'}
• ec_torsion_growth •

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

  
  
  • id: 5387049
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '117600.em1', 'torsion': [4]}
  • id: 5387047
    {'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '117600.em1', 'torsion': [2, 2]}
  • id: 5387048
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '117600.em1', 'torsion': [4]}
  • id: 5387050
    {'degree': 4, 'field': [1639, 86, -85, -2, 1], 'lmfdb_label': '117600.em1', 'torsion': [2, 4]}
  • id: 5387054
    {'degree': 8, 'field': [-91875, 0, -28000, 0, -1050, 0, 0, 0, 1], 'lmfdb_label': '117600.em1', 'torsion': [6]}
  • id: 5387053
    {'degree': 8, 'field': [231, -420, 1362, -1944, 1123, -184, 66, -4, 1], 'lmfdb_label': '117600.em1', 'torsion': [8]}
  • id: 5387052
    {'degree': 8, 'field': [449, 844, -544, -568, 205, 92, -26, -4, 1], 'lmfdb_label': '117600.em1', 'torsion': [8]}
  • id: 5387051
    {'degree': 8, 'field': [2211169, 0, 91220, 0, -2874, 0, 20, 0, 1], 'lmfdb_label': '117600.em1', 'torsion': [2, 4]}
  • id: 5387058
    {'degree': 16, 'field': [-3334609274, -2150491448, 1250118084, 150144080, -89404696, 14932632, -18546092, 6051016, 1149408, -506876, -29864, 15312, -274, 152, -24, -8, 1], 'lmfdb_label': '117600.em1', 'torsion': [2, 6]}
  • id: 5387056
    {'degree': 16, 'field': [-20711, 476728, 1798632, -2523408, -3157638, 3567552, 1464004, -1809128, -97605, 318624, -17340, -23304, 2246, 728, -84, -8, 1], 'lmfdb_label': '117600.em1', 'torsion': [2, 8]}
  • id: 5387059
    {'degree': 16, 'field': [232541, 20728, 20656, -83608, 39494, 15960, -29876, 26384, -13705, 5480, -1932, 560, -154, 0, 20, -8, 1], 'lmfdb_label': '117600.em1', 'torsion': [12]}
  • id: 5387057
    {'degree': 16, 'field': [265276, -1037488, 2240936, -2224592, 1823528, -1365536, 753840, -403656, 198583, -60852, 28050, -5048, 2063, -224, 74, -4, 1], 'lmfdb_label': '117600.em1', 'torsion': [2, 8]}
  • id: 5387060
    {'degree': 16, 'field': [2057801769, 0, 2479576560, 0, 723816004, 0, 70353120, 0, 292350, 0, -207440, 0, -2028, 0, 0, 0, 1], 'lmfdb_label': '117600.em1', 'torsion': [12]}
  • id: 5387055
    {'degree': 16, 'field': [21179271961, 0, -1944438036, 0, 246535438, 0, -8591040, 0, 858255, 0, -4392, 0, 1570, 0, 12, 0, 1], 'lmfdb_label': '117600.em1', 'torsion': [4, 4]}
• 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: 2894012
    {'conductor': 117600, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '117600.em1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2894013
    {'conductor': 117600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '117600.em1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2894014
    {'conductor': 117600, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '117600.em1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2894015
    {'conductor': 117600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '117600.em1', 'prime': 7, '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: 2432464
    {'adelic_gens': [[736, 675, 565, 506], [833, 8, 832, 9], [1, 0, 8, 1], [1, 8, 0, 1], [503, 0, 0, 839], [1, 4, 4, 17], [736, 155, 25, 726], [281, 780, 110, 191], [7, 6, 834, 835], [44, 335, 505, 834]], 'adelic_image': '840.48.0.?', 'conductor': 117600, 'lmfdb_label': '117600.em1', 'prime': 0}
  • id: 463311
    {'conductor': 117600, 'elladic_image': '4.6.0.1', 'lmfdb_label': '117600.em1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 6143620
    {'lmfdb_iso': '117600.em', 'p': 11, 'prec': 20, 'unit': 35412848554171142130, 'val': 1}
  • id: 6143618
    {'lmfdb_iso': '117600.em', 'p': 13, 'prec': 20, 'unit': 282795592977084560287, 'val': 1}
  • id: 6143621
    {'lmfdb_iso': '117600.em', 'p': 17, 'prec': 20, 'unit': 64815198827800780000921, 'val': 1}
  • id: 6143622
    {'lmfdb_iso': '117600.em', 'p': 19, 'prec': 20, 'unit': 33400481804201595863498, 'val': 1}
  • id: 6143625
    {'lmfdb_iso': '117600.em', 'p': 23, 'prec': 20, 'unit': 30159054263073853482228103, 'val': 1}
  • id: 6143619
    {'lmfdb_iso': '117600.em', 'p': 29, 'prec': 20, 'unit': 118474790132822468555448219, 'val': 1}
  • id: 6143629
    {'lmfdb_iso': '117600.em', 'p': 31, 'prec': 20, 'unit': 12057414336980789448081116113, 'val': 1}
  • id: 6143614
    {'lmfdb_iso': '117600.em', 'p': 37, 'prec': 20, 'unit': 15019737076106874244614127341, 'val': 1}
  • id: 6143616
    {'lmfdb_iso': '117600.em', 'p': 41, 'prec': 20, 'unit': 3454011635377785747705601234715, 'val': 1}
  • id: 6143617
    {'lmfdb_iso': '117600.em', 'p': 43, 'prec': 20, 'unit': 6922290224845881378661187200416, 'val': 1}
  • id: 6143623
    {'lmfdb_iso': '117600.em', 'p': 53, 'prec': 20, 'unit': 24277716377306927787825940323196, 'val': 1}
  • id: 6143627
    {'lmfdb_iso': '117600.em', 'p': 59, 'prec': 20, 'unit': 1427107597342509651149452408854357, 'val': 1}
  • id: 6143628
    {'lmfdb_iso': '117600.em', 'p': 61, 'prec': 20, 'unit': 6527608689292487189100514869538598, 'val': 1}
  • id: 6143613
    {'lmfdb_iso': '117600.em', 'p': 67, 'prec': 20, 'unit': 30292727024239929337672188712265344, 'val': 1}
  • id: 6143615
    {'lmfdb_iso': '117600.em', 'p': 71, 'prec': 20, 'unit': 70799636762549417853927255400755678, 'val': 1}
  • id: 6143624
    {'lmfdb_iso': '117600.em', 'p': 73, 'prec': 20, 'unit': 142999321896486941375701225185086599, 'val': 1}
  • id: 6143612
    {'lmfdb_iso': '117600.em', 'p': 83, 'prec': 20, 'unit': 2817937947611432054480446387756795351, 'val': 1}
  • id: 6143626
    {'lmfdb_iso': '117600.em', 'p': 89, 'prec': 20, 'unit': 5065971441230378544988825853226988956, 'val': 1}
  • id: 6143611
    {'lmfdb_iso': '117600.em', 'p': 97, 'prec': 20, 'unit': 22626631559718772841337491927274755337, 'val': 1}