Elliptic curve data - 14400.o1

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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': '14400ef', 'Clabel': '14400ef7', 'Cnumber': 7, 'abc_quality': 1.0818126452233845, 'absD': 241864704000000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 0, 0, -76802700, -259067446000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 14400, 'degree': 884736, 'elladic_images': ['8.12.0.14', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9579118566073746774130927888', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '14400.o', 'lmfdb_label': '14400.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': 120, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '8.12.0-4.c.1.1', '12.48.0-12.g.1.9', '24.192.1-24.dj.3.12', '40.24.0-40.v.1.6', '60.96.0-60.c.3.3', '120.384.5.?'], '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': '5.0813218135980437968846565666', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 8, 1600], [5, 18, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232154', 'prec': 103}, 'szpiro_ratio': 6.901719903079318, '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, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 0, -4, 0], 'aplist': [0, 0, 0, -4, 0, 2, 6, -4, 0, -6, -8, 2, 6, 4, 0, 6, 0, 10, 4, 0, -2, -8, 12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 14400, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '14400.o', 'trace_hash': 1742643164012518375}
• 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': '0.0026964377923877217992996528934', 'prec': 110}, 'conductor': 14400, 'gens': [[14434, 1280448, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.0813218135980437968846565666', 'prec': 100}], 'lmfdb_label': '14400.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.050998268699353944178557969731', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1462178431641845409535447566469944932', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-5060, 0, 1]], 'xcoord_integral_points': [-5060, 14434]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 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': '14400.o1'}
• ec_torsion_growth •

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

  
  
  • id: 742032
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 2]}
  • id: 742034
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '14400.o1', 'torsion': [4]}
  • id: 742033
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [4]}
  • id: 742035
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [6]}
  • id: 742038
    {'degree': 4, 'field': [1, 0, 8, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [12]}
  • id: 742036
    {'degree': 4, 'field': [16, 0, -2, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 4]}
  • id: 742039
    {'degree': 4, 'field': [16, 0, 2, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [12]}
  • id: 742037
    {'degree': 4, 'field': [25, 0, 0, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 6]}
  • id: 742040
    {'degree': 6, 'field': [-3000, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [6]}
  • id: 742044
    {'degree': 8, 'field': [16, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 12]}
  • id: 742043
    {'degree': 8, 'field': [16, 0, 0, 0, 2, 0, 0, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [24]}
  • id: 742042
    {'degree': 8, 'field': [36, 0, -6, 0, 1, 0, 4, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 8]}
  • id: 742041
    {'degree': 8, 'field': [225, 0, 300, 0, -80, 0, -20, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 4]}
  • id: 742048
    {'degree': 12, 'field': [904, 3456, 4044, 720, -714, 432, 289, 0, 60, -18, 12, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [12]}
  • id: 742047
    {'degree': 12, 'field': [6561, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [12]}
  • id: 742046
    {'degree': 12, 'field': [994009, 0, -609000, 0, 149100, 0, -20006, 0, 1500, 0, -60, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 6]}
  • id: 742045
    {'degree': 12, 'field': [994009, 0, 609000, 0, 149100, 0, 20006, 0, 1500, 0, 60, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [3, 6]}
  • id: 742051
    {'degree': 16, 'field': [1, 12, 72, -68, 78, 272, -40, -620, 1011, -760, 360, -148, 98, -68, 32, -8, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 24]}
  • id: 742050
    {'degree': 16, 'field': [100, 0, 1040, 0, 2924, 0, 816, 0, 389, 0, 12, 0, -4, 0, -4, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [2, 24]}
  • id: 742049
    {'degree': 16, 'field': [34596, -89280, 115200, -129600, 114316, -65840, 32000, -12480, 1821, -1240, 800, 80, 26, -40, 0, 0, 1], 'lmfdb_label': '14400.o1', 'torsion': [4, 12]}
  • id: 742052
    {'degree': 18, 'field': [108410, 384420, 487050, 329140, 248490, 201120, 88241, 10200, 4344, 7040, 7365, -480, -290, 180, 135, -20, -6, 0, 1], 'lmfdb_label': '14400.o1', '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: 316558
    {'conductor': 14400, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '14400.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 316559
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '14400.o1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 316560
    {'conductor': 14400, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '14400.o1', 'prime': 5, '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: 1759855
    {'adelic_gens': [[89, 96, 90, 119], [1, 12, 12, 25], [1, 24, 0, 1], [97, 24, 96, 25], [1, 0, 24, 1], [8, 117, 3, 86], [15, 106, 14, 11], [78, 41, 43, 28], [99, 76, 112, 27]], 'adelic_image': '120.384.5.?', 'conductor': 14400, 'lmfdb_label': '14400.o1', 'prime': 0}
  • id: 68309
    {'conductor': 14400, 'elladic_image': '8.12.0.14', 'lmfdb_label': '14400.o1', 'modell_image': '2B', 'prime': 2}
  • id: 68310
    {'conductor': 14400, 'elladic_image': '3.4.0.1', 'lmfdb_label': '14400.o1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 642870
    {'lmfdb_iso': '14400.o', 'p': 7, 'prec': 20, 'unit': 4673025486909427, 'val': 1}
  • id: 642874
    {'lmfdb_iso': '14400.o', 'p': 13, 'prec': 20, 'unit': 1022344776808807782127, 'val': 1}
  • id: 642876
    {'lmfdb_iso': '14400.o', 'p': 17, 'prec': 20, 'unit': 81691932424344094153829, 'val': 1}
  • id: 642866
    {'lmfdb_iso': '14400.o', 'p': 19, 'prec': 20, 'unit': 1327732320843934176683715, 'val': 1}
  • id: 642873
    {'lmfdb_iso': '14400.o', 'p': 29, 'prec': 20, 'unit': 4140057364068150002781737709, 'val': 1}
  • id: 642882
    {'lmfdb_iso': '14400.o', 'p': 31, 'prec': 20, 'unit': 6877062366140233789373842677, 'val': 1}
  • id: 642869
    {'lmfdb_iso': '14400.o', 'p': 37, 'prec': 20, 'unit': 420569752652015279329744921576, 'val': 1}
  • id: 642871
    {'lmfdb_iso': '14400.o', 'p': 41, 'prec': 20, 'unit': 3546675917144190717847421708879, 'val': 1}
  • id: 642872
    {'lmfdb_iso': '14400.o', 'p': 43, 'prec': 20, 'unit': 6993774975569607338679410636389, 'val': 1}
  • id: 642878
    {'lmfdb_iso': '14400.o', 'p': 53, 'prec': 20, 'unit': 49126499338646145534031249293421, 'val': 1}
  • id: 642881
    {'lmfdb_iso': '14400.o', 'p': 61, 'prec': 20, 'unit': 7234613436456331753049534331007568, 'val': 1}
  • id: 642868
    {'lmfdb_iso': '14400.o', 'p': 67, 'prec': 20, 'unit': 31371736441330348080944864001404929, 'val': 1}
  • id: 642879
    {'lmfdb_iso': '14400.o', 'p': 73, 'prec': 20, 'unit': 45319951419047519571099998558726760, 'val': 1}
  • id: 642875
    {'lmfdb_iso': '14400.o', 'p': 79, 'prec': 20, 'unit': 1120082143185853998260022362991636039, 'val': 1}
  • id: 642877
    {'lmfdb_iso': '14400.o', 'p': 83, 'prec': 20, 'unit': 981829935748859510566231113500139187, 'val': 1}
  • id: 642880
    {'lmfdb_iso': '14400.o', 'p': 89, 'prec': 20, 'unit': 1399298552044394271209457612792726495, 'val': 1}
  • id: 642867
    {'lmfdb_iso': '14400.o', 'p': 97, 'prec': 20, 'unit': 13649088693642269874543807681480402847, 'val': 1}