Elliptic curve data - 11424.s2

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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': '11424r', 'Clabel': '11424r3', 'Cnumber': 3, 'abc_quality': 0.8470756096734756, 'absD': 501559296, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2856, 'ainvs': [0, 1, 0, -337, 2015], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 11424, 'degree': 3584, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.40071492901741566084245512646', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 2, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [1036433728, 122451], 'lmfdb_iso': '11424.s', 'lmfdb_label': '11424.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -337, -2015], 'min_quad_twist_disc': -4, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '56.12.0-4.c.1.4', '68.12.0-4.c.1.2', '168.24.0.?', '204.24.0.?', '952.24.0.?', '2856.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8635922269785663635463051998', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29243225154252964857477699500', 'prec': 107}, 'szpiro_ratio': 3.1119929184620405, '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, 2, 0, -1, 0, 1, 0, 0, 0, -2, 0, 2, 0, -1, 0, -8, 0], 'aplist': [0, 1, 2, -1, 0, -2, -1, -8, 0, 2, 0, 2, 6, 4, -8, -6, 4, 6, 12, 0, 6, -8, -12, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 11424, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '11424.s', 'trace_hash': 455351063049158327}
• 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': '0.44868694659393664403337429591', 'prec': 103}, 'conductor': 11424, 'gens': [[-5, 60, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8635922269785663635463051998', 'prec': 100}], 'lmfdb_label': '11424.s2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.5987475376714832195669012260', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9588269682113976680842422554110784272', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[13, 0, 1]], 'xcoord_integral_points': [-5, 13]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [4, 0], '5': [1, 0], '7': [3, 0], '11': [1, 1, 0], '13': [3, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '11424.s2'}
• ec_torsion_growth •

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

  
  
  • id: 591030
    {'degree': 2, 'field': [-51, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [2, 2]}
  • id: 591031
    {'degree': 2, 'field': [-4, -1, 1], 'lmfdb_label': '11424.s2', 'torsion': [4]}
  • id: 591032
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [4]}
  • id: 591033
    {'degree': 4, 'field': [-2, 14, -13, -2, 1], 'lmfdb_label': '11424.s2', 'torsion': [2, 4]}
  • id: 591037
    {'degree': 8, 'field': [-243, 0, 2232, 0, -54, 0, 0, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [6]}
  • id: 591036
    {'degree': 8, 'field': [1764, 0, 1008, 0, 228, 0, -24, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [8]}
  • id: 591034
    {'degree': 8, 'field': [2601, 0, 0, 0, 51, 0, 0, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [2, 4]}
  • id: 591035
    {'degree': 8, 'field': [3350, 8960, -7368, -3100, 1341, 248, -78, -4, 1], 'lmfdb_label': '11424.s2', 'torsion': [8]}
  • id: 591039
    {'degree': 16, 'field': [6694, 426176, 1424460, -1929440, -2949546, 3317880, 1005556, -1446980, -66225, 246212, -11552, -18780, 1674, 644, -72, -8, 1], 'lmfdb_label': '11424.s2', 'torsion': [2, 8]}
  • id: 591043
    {'degree': 16, 'field': [14641, 64372, -24384, -152944, 107900, 44052, -13112, -38744, -37494, 1924, 14656, 528, -196, -28, 24, -8, 1], 'lmfdb_label': '11424.s2', 'torsion': [12]}
  • id: 591040
    {'degree': 16, 'field': [485550, 366480, 301716, -1463688, 1081950, -511680, 330252, -151476, 57031, -14300, 4576, -1196, 442, -140, 40, -8, 1], 'lmfdb_label': '11424.s2', 'torsion': [2, 8]}
  • id: 591038
    {'degree': 16, 'field': [7038409, 0, -1506952, 0, -185630, 0, 47924, 0, 21235, 0, -220, 0, -194, 0, -4, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [4, 4]}
  • id: 591041
    {'degree': 16, 'field': [28005264, 0, 10922688, 0, -25161696, 0, 302400, 0, 1345464, 0, 86064, 0, -4392, 0, 0, 0, 1], 'lmfdb_label': '11424.s2', 'torsion': [2, 6]}
  • id: 591042
    {'degree': 16, 'field': [68455888, 21379424, -20904880, 533280, -3668080, 3229384, 343852, -1217928, 307357, -5136, 3808, -976, -262, 168, -4, -8, 1], 'lmfdb_label': '11424.s2', 'torsion': [12]}
• 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: 245092
    {'conductor': 11424, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '11424.s2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 245093
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11424.s2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 245094
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '11424.s2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 245095
    {'conductor': 11424, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '11424.s2', 'prime': 17, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1739724
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 2850, 2851], [956, 1, 1927, 6], [2849, 8, 2848, 9], [1520, 3, 2021, 2], [409, 8, 1636, 33], [1784, 349, 357, 356], [2507, 2502, 362, 1787]], 'adelic_image': '2856.48.0.?', 'conductor': 11424, 'lmfdb_label': '11424.s2', 'prime': 0}
  • id: 54785
    {'conductor': 11424, 'elladic_image': '4.6.0.1', 'lmfdb_label': '11424.s2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 493833
    {'lmfdb_iso': '11424.s', 'p': 5, 'prec': 20, 'unit': 4493868464897, 'val': 1}
  • id: 493824
    {'lmfdb_iso': '11424.s', 'p': 13, 'prec': 20, 'unit': 30622371434733695515, 'val': 2}
  • id: 493827
    {'lmfdb_iso': '11424.s', 'p': 19, 'prec': 20, 'unit': 412726306213417296701956, 'val': 1}
  • id: 493823
    {'lmfdb_iso': '11424.s', 'p': 29, 'prec': 20, 'unit': 3991754429781617736045589339, 'val': 1}
  • id: 493820
    {'lmfdb_iso': '11424.s', 'p': 37, 'prec': 20, 'unit': 283040126729375742787576550572, 'val': 1}
  • id: 493821
    {'lmfdb_iso': '11424.s', 'p': 41, 'prec': 20, 'unit': 2016580066352267719618685896952, 'val': 1}
  • id: 493822
    {'lmfdb_iso': '11424.s', 'p': 43, 'prec': 20, 'unit': 1307741411109812753743857696243, 'val': 1}
  • id: 493831
    {'lmfdb_iso': '11424.s', 'p': 47, 'prec': 20, 'unit': 30436633402762751504764107845472, 'val': 1}
  • id: 493828
    {'lmfdb_iso': '11424.s', 'p': 53, 'prec': 20, 'unit': 574460272285579665898435367844383, 'val': 1}
  • id: 493826
    {'lmfdb_iso': '11424.s', 'p': 59, 'prec': 20, 'unit': 2481231290925085581597388360795650, 'val': 1}
  • id: 493832
    {'lmfdb_iso': '11424.s', 'p': 61, 'prec': 20, 'unit': 6976695795146972472484557302818307, 'val': 1}
  • id: 493819
    {'lmfdb_iso': '11424.s', 'p': 67, 'prec': 20, 'unit': 7295736785537758243440111466292218, 'val': 1}
  • id: 493829
    {'lmfdb_iso': '11424.s', 'p': 73, 'prec': 20, 'unit': 13514277866356288701663986150856813, 'val': 1}
  • id: 493825
    {'lmfdb_iso': '11424.s', 'p': 79, 'prec': 20, 'unit': 13057376466014091481475014838842242, 'val': 2}
  • id: 493818
    {'lmfdb_iso': '11424.s', 'p': 83, 'prec': 20, 'unit': 1417120614384849562522230919883907769, 'val': 1}
  • id: 493830
    {'lmfdb_iso': '11424.s', 'p': 89, 'prec': 20, 'unit': 5215949436087642939244731939747663309, 'val': 1}
  • id: 493817
    {'lmfdb_iso': '11424.s', 'p': 97, 'prec': 20, 'unit': 50195944005973929263579731129005787524, 'val': 1}