Elliptic curve data - 2310.i3

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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': '2310i', 'Clabel': '2310i1', 'Cnumber': 1, 'abc_quality': 0.9306688627913238, 'absD': 2173469760, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -899, 10046], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 1728, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.57190990559155448596075689015', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [80224711835689, 2173469760], 'lmfdb_iso': '2310.i', 'lmfdb_label': '2310.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -899, 10046], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '24.48.0-24.cc.1.15', '770.6.0.?', '2310.48.0.?', '9240.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.57190990559155448596075689015', 'prec': 103}, 'szpiro_ratio': 4.1337432049001865, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, -1, -1, 1, -1, 1, 1, 1, 1, -4, -1, -1, 1, 0, -1, -4, -1], 'aplist': [-1, 1, -1, 1, 1, -4, 0, -4, 6, 6, -4, 8, 6, 8, 0, 6, 0, -10, 2, 12, -10, -4, 12, 0, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 2310, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '2310.i', 'trace_hash': 2029902276732959895}
• 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': '0.31859970380507094849217872759', 'prec': 103}, 'conductor': 2310, 'gens': [], 'heights': [], 'lmfdb_label': '2310.i3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.4590475709028634465682323112', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4590475709028634465682323111723939939', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [[-9, 136, 1]], 'xcoord_integral_points': [-9, 15, 24]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [1, 0], '5': [0, 0], '7': [3, 0], '11': [3, 0]}, 'iwp0': 5, 'lmfdb_label': '2310.i3'}
• ec_torsion_growth •

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

  
  
  • id: 117518
    {'degree': 2, 'field': [-96, -1, 1], 'lmfdb_label': '2310.i3', 'torsion': [2, 6]}
  • id: 117519
    {'degree': 4, 'field': [124, -24, -14, 0, 1], 'lmfdb_label': '2310.i3', 'torsion': [12]}
  • id: 117520
    {'degree': 6, 'field': [48, 0, -23, 0, 1, 0, 1], 'lmfdb_label': '2310.i3', 'torsion': [3, 6]}
  • id: 117522
    {'degree': 8, 'field': [20736, 0, 30624, 0, 772, 0, -44, 0, 1], 'lmfdb_label': '2310.i3', 'torsion': [2, 12]}
  • id: 117521
    {'degree': 8, 'field': [318096, 0, -465987, 0, 1459, 0, 167, 0, 1], 'lmfdb_label': '2310.i3', 'torsion': [2, 12]}
  • id: 117523
    {'degree': 9, 'field': [7503, -11448, -17622, -1289, 3273, 726, 29, 6, -3, 1], 'lmfdb_label': '2310.i3', 'torsion': [18]}
  • id: 117524
    {'degree': 12, 'field': [46656, -114048, 239904, -41040, -35760, -11508, 14449, -1442, 530, -230, 14, -2, 1], 'lmfdb_label': '2310.i3', 'torsion': [6, 6]}
  • id: 117525
    {'degree': 16, 'field': [13836103516, 39759338384, 46471534680, 27771493888, 9118808744, 1894273296, 417643096, 100969568, 15188463, 2420756, 582634, 61224, 3527, 1048, 66, -4, 1], 'lmfdb_label': '2310.i3', 'torsion': [24]}
  • id: 117526
    {'degree': 18, 'field': [4007487521871, 5830434976968, -4619036410227, -80144329446, 512758643382, -24146691543, -24789198195, 4358615265, 100309968, -295703694, 55724823, 9809046, -2055304, -150273, 29487, 1374, -219, -9, 1], 'lmfdb_label': '2310.i3', 'torsion': [2, 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: 38869
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2310.i3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 38870
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2310.i3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 38871
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.i3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 38872
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.i3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 38873
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2310.i3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1678924
    {'adelic_gens': [[6610, 3, 5253, 9232], [4621, 12, 6, 73], [11, 2, 9190, 9231], [6730, 3, 5853, 9232], [1, 0, 12, 1], [9229, 12, 9228, 13], [1, 6, 6, 37], [6555, 5008, 6518, 4997], [1, 12, 0, 1], [10, 3, 1821, 9232], [3089, 2, 7704, 1]], 'adelic_image': '9240.96.1.?', 'conductor': 2310, 'lmfdb_label': '2310.i3', 'prime': 0}
  • id: 11345
    {'conductor': 2310, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2310.i3', 'modell_image': '2B', 'prime': 2}
  • id: 11346
    {'conductor': 2310, 'elladic_image': '3.8.0.1', 'lmfdb_label': '2310.i3', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 2310.i does not appear in ec_padic