Elliptic curve data - 15246.m1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '15246i', 'Clabel': '15246i6', 'Cnumber': 6, 'abc_quality': 1.0648884149541868, 'absD': 32400348406272, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 5544, 'ainvs': [1, -1, 0, -2973537, -1972852227], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 15246, 'degree': 207360, 'elladic_images': ['8.6.0.6', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1613547611563245753093767623', 'prec': 97}, 'faltings_index': 5, 'faltings_ratio': 18, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [2251439055699625, 25088], 'lmfdb_iso': '15246.m', 'lmfdb_label': '15246.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -2731, -55146], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '8.6.0.b.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0.y.1', '28.6.0.c.1', '33.8.0-3.a.1.2', '56.12.0.k.1', '63.36.0.d.1', '66.24.0-6.a.1.2', '72.72.1.?', '84.24.0.?', '99.24.0.?', '126.108.2.?', '168.48.1.?', '198.72.0.?', '252.216.7.?', '264.48.0.?', '504.432.21.?', '693.72.0.?', '792.144.1.?', '924.48.0.?', '1386.216.2.?', '1848.96.1.?', '2772.432.7.?', '5544.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.736895023633311575087217573', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 1089], [3, 6, 847], [7, 8, 2178], [11, 62, 126]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.41310098042308445758078235486', 'prec': 97}, 'szpiro_ratio': 5.8481071060559, '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, 0, 0, 4, 1, 0, 1, 6, 0, -2, 0], 'aplist': [-1, 0, 0, -1, 0, 4, 6, -2, 0, -6, -4, 2, 6, -8, 12, -6, 6, -8, -4, 0, -2, -8, -6, 6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 15246, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '15246.m', 'trace_hash': 40154221984422814}
• 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': '0.013263895987787960537867954388', 'prec': 97}, 'conductor': 15246, 'gens': [[71786203, 604077568389, 58]], 'heights': [{'__RealLiteral__': 0, 'data': '15.736895023633311575087217573', 'prec': 97}], 'lmfdb_label': '15246.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11496912111960009355538026844', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '3.6185139800370603504092902952031479158', 'prec': 127}, 'tamagawa_product': 8, 'torsion_generators': [[-3981, 3981, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '15246.m1'}
• ec_torsion_growth •

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

  
  
  • id: 784182
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 2]}
  • id: 784183
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '15246.m1', 'torsion': [6]}
  • id: 784185
    {'degree': 4, 'field': [23, -2, 3, -2, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 6]}
  • id: 784184
    {'degree': 4, 'field': [2178, 0, -33, 0, 1], 'lmfdb_label': '15246.m1', 'torsion': [4]}
  • id: 784186
    {'degree': 6, 'field': [-288, -549, 189, 33, -21, -3, 1], 'lmfdb_label': '15246.m1', 'torsion': [6]}
  • id: 784187
    {'degree': 6, 'field': [1637, 1149, 498, 9, -30, -3, 1], 'lmfdb_label': '15246.m1', 'torsion': [18]}
  • id: 784190
    {'degree': 8, 'field': [207, 342, -222, -258, 175, -58, 24, -4, 1], 'lmfdb_label': '15246.m1', 'torsion': [12]}
  • id: 784189
    {'degree': 8, 'field': [8836, 0, -2944, 0, -502, 0, -8, 0, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 4]}
  • id: 784188
    {'degree': 8, 'field': [279841, 0, -23262, 0, 1514, 0, -30, 0, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 4]}
  • id: 784193
    {'degree': 12, 'field': [-489854, 451812, 136545, -121914, 30897, 25464, -3979, -4866, 843, 252, -45, -6, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 6]}
  • id: 784192
    {'degree': 12, 'field': [2368, -6096, 6348, -4326, 3513, -2568, 1387, -654, 294, -102, 33, -6, 1], 'lmfdb_label': '15246.m1', 'torsion': [18]}
  • id: 784191
    {'degree': 12, 'field': [17424, -17424, 15444, -660, -2019, 2697, -287, -102, 114, -26, -3, -3, 1], 'lmfdb_label': '15246.m1', 'torsion': [3, 6]}
  • id: 784194
    {'degree': 12, 'field': [3687391, 2159406, 1240425, 668046, 239340, -26802, -32715, -2910, 2172, 258, -63, -6, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 18]}
  • id: 784196
    {'degree': 16, 'field': [18313, -42868, 131026, -215368, 220460, -180904, 146226, -95128, 54209, -26144, 11622, -4184, 1304, -308, 64, -8, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 12]}
  • id: 784197
    {'degree': 16, 'field': [523351, -119456, 129332, -18808, 9032, -5304, 12048, -10664, 6045, -3976, 2652, -1200, 382, -112, 36, -8, 1], 'lmfdb_label': '15246.m1', 'torsion': [2, 12]}
  • id: 784195
    {'degree': 16, 'field': [7193414596, 0, -1869495288, 0, 16389718, 0, 10656756, 0, 1358481, 0, 109602, 0, 4600, 0, 102, 0, 1], 'lmfdb_label': '15246.m1', 'torsion': [8]}
• 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: 337183
    {'conductor': 15246, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '15246.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 337184
    {'conductor': 15246, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '15246.m1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 337185
    {'conductor': 15246, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '15246.m1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 337186
    {'conductor': 15246, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '15246.m1', 'prime': 11, '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: 1765568
    {'adelic_gens': [[1, 36, 0, 1], [4060, 4059, 561, 298], [3023, 0, 0, 5543], [1, 0, 36, 1], [1255, 3564, 242, 1519], [5509, 36, 5508, 37], [4159, 3564, 5302, 2377], [19, 36, 3240, 595], [5147, 1980, 5456, 4003], [1, 18, 14, 253]], 'adelic_image': '5544.864.21.?', 'conductor': 15246, 'lmfdb_label': '15246.m1', 'prime': 0}
  • id: 72108
    {'conductor': 15246, 'elladic_image': '8.6.0.6', 'lmfdb_label': '15246.m1', 'modell_image': '2B', 'prime': 2}
  • id: 72109
    {'conductor': 15246, 'elladic_image': '9.12.0.1', 'lmfdb_label': '15246.m1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 684888
    {'lmfdb_iso': '15246.m', 'p': 13, 'prec': 20, 'unit': 577821846069060538587, 'val': 1}
  • id: 684890
    {'lmfdb_iso': '15246.m', 'p': 17, 'prec': 20, 'unit': 97755780001151295867001, 'val': 1}
  • id: 684891
    {'lmfdb_iso': '15246.m', 'p': 19, 'prec': 20, 'unit': 676167355273462561047040, 'val': 1}
  • id: 684887
    {'lmfdb_iso': '15246.m', 'p': 29, 'prec': 20, 'unit': 1681440083349256568986452291, 'val': 1}
  • id: 684898
    {'lmfdb_iso': '15246.m', 'p': 31, 'prec': 20, 'unit': 14445152289752718669130071, 'val': 2}
  • id: 684884
    {'lmfdb_iso': '15246.m', 'p': 37, 'prec': 20, 'unit': 303051513220039588109406679689, 'val': 1}
  • id: 684885
    {'lmfdb_iso': '15246.m', 'p': 41, 'prec': 20, 'unit': 2352818372703348100632341122220, 'val': 1}
  • id: 684886
    {'lmfdb_iso': '15246.m', 'p': 43, 'prec': 20, 'unit': 9965239770073826874403369032425, 'val': 1}
  • id: 684896
    {'lmfdb_iso': '15246.m', 'p': 47, 'prec': 20, 'unit': 56359455469776916410054441684437, 'val': 1}
  • id: 684892
    {'lmfdb_iso': '15246.m', 'p': 53, 'prec': 20, 'unit': 310551522258194686662423898649679, 'val': 1}
  • id: 684893
    {'lmfdb_iso': '15246.m', 'p': 59, 'prec': 20, 'unit': 746785563272842629488312944922414, 'val': 1}
  • id: 684897
    {'lmfdb_iso': '15246.m', 'p': 61, 'prec': 20, 'unit': 681447022380473827688636971282692, 'val': 1}
  • id: 684883
    {'lmfdb_iso': '15246.m', 'p': 67, 'prec': 20, 'unit': 15846606133629015905181108105858092, 'val': 1}
  • id: 684894
    {'lmfdb_iso': '15246.m', 'p': 73, 'prec': 20, 'unit': 234933625506871327881722425862555368, 'val': 1}
  • id: 684889
    {'lmfdb_iso': '15246.m', 'p': 79, 'prec': 20, 'unit': 1092760476939359640710361058487312794, 'val': 1}
  • id: 684882
    {'lmfdb_iso': '15246.m', 'p': 83, 'prec': 20, 'unit': 2689514862173878738277958937882323498, 'val': 1}
  • id: 684895
    {'lmfdb_iso': '15246.m', 'p': 89, 'prec': 20, 'unit': 4791656120729473286521556969579499448, 'val': 1}
  • id: 684881
    {'lmfdb_iso': '15246.m', 'p': 97, 'prec': 20, 'unit': 16840300184177135809530505764030932460, 'val': 1}