Elliptic curve data - 5610.q7

Formats: - HTML - YAML - JSON - 2024-04-24T20:14:40.458151

• 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': '5610t', 'Clabel': '5610t2', 'Cnumber': 2, 'abc_quality': 1.0069950709597306, 'absD': 373234243041000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 22440, 'ainvs': [1, 0, 1, -189908, -12291694], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 5610, 'degree': 110592, 'elladic_images': ['2.6.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0649077142980345784081802958', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [757443433548897303481, 373234243041000000], 'lmfdb_iso': '5610.q', 'lmfdb_label': '5610.q7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -189908, -12291694], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs', '3B.1.1'], 'modm_images': ['2.6.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.a.1.1', '24.96.0-24.o.2.27', '44.12.0-2.a.1.1', '132.96.0.?', '264.192.1.?', '340.12.0.?', '1020.96.0.?', '2040.192.1.?', '3740.24.0.?', '11220.192.1.?', '22440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.0649077142980345784081802958', 'prec': 100}, 'szpiro_ratio': 5.569367043008652, 'torsion': 12, 'torsion_primes': [2, 3], 'torsion_structure': [2, 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, -4, -1, 1, -1, 1, 1, 2, 4, 1, 1, -1, -1, -4, 1], 'aplist': [-1, 1, 1, -4, 1, 2, -1, -4, 0, -6, 8, -10, 6, -4, 12, 6, 12, 2, 8, -12, 2, 8, -12, -6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 5610, 'isogeny_matrix': [[1, 4, 2, 3, 12, 4, 6, 12], [4, 1, 2, 12, 3, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [3, 12, 6, 1, 4, 12, 2, 4], [12, 3, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '5610.q', 'trace_hash': 862212701844303008}
• 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': '0.016085847536073345811633124830', 'prec': 107}, 'conductor': 5610, 'gens': [], 'heights': [], 'lmfdb_label': '5610.q7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24050500889864283326946327256', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4430300533918569996167796353867365261', 'prec': 130}, 'tamagawa_product': 864, 'torsion_generators': [[465, -233, 1], [-135, 3367, 1]], 'xcoord_integral_points': [-399, -300, -135, 465, 690, 2505]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': [3, 0], '5': [1, 0], '11': [3, 0], '17': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '5610.q7'}
• ec_torsion_growth •

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

  
  
  • id: 292207
    {'degree': 4, 'field': [15, -18, 19, -2, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 12]}
  • id: 292209
    {'degree': 4, 'field': [219, 54, -53, -2, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 12]}
  • id: 292208
    {'degree': 4, 'field': [576, 0, 37, 0, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 12]}
  • id: 292210
    {'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '5610.q7', 'torsion': [6, 6]}
  • id: 292211
    {'degree': 9, 'field': [57930120, 558900, 479790, -444153, -65952, 10881, 761, -168, -3, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 18]}
  • id: 292212
    {'degree': 16, 'field': [111429116100, 0, -29947342680, 0, 3503087856, 0, -250721028, 0, 12857509, 0, -457024, 0, 10554, 0, -148, 0, 1], 'lmfdb_label': '5610.q7', 'torsion': [4, 12]}
  • id: 292213
    {'degree': 16, 'field': [379672862976, 0, 105581076480, 0, 15484544064, 0, 1057224960, 0, 39829860, 0, 773280, 0, 11274, 0, 120, 0, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 24]}
  • id: 292214
    {'degree': 16, 'field': [1195044698761, 0, 31843460102, 0, 7245312993, 0, 74659474, 0, 12616300, 0, 6214, 0, 9873, 0, -118, 0, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 24]}
  • id: 292215
    {'degree': 16, 'field': [4972186425600, 0, 496610611200, 0, 75152387520, 0, -4980476160, 0, -42432444, 0, 1701216, 0, 8166, 0, -264, 0, 1], 'lmfdb_label': '5610.q7', 'torsion': [2, 24]}
• 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: 110103
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5610.q7', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 110104
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5610.q7', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 110105
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5610.q7', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 110106
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '5610.q7', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 110107
    {'conductor': 5610, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5610.q7', 'prime': 17, 'reduction_type': -1, '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: 1700607
    {'adelic_gens': [[16831, 12, 11226, 73], [14967, 10, 3742, 3], [9, 4, 22424, 22433], [14521, 12, 19806, 73], [1, 0, 12, 1], [8977, 12, 8982, 73], [22429, 12, 22428, 13], [1, 12, 0, 1], [11227, 6, 22434, 22435], [18361, 6, 0, 1]], 'adelic_image': '22440.384.5.?', 'conductor': 5610, 'lmfdb_label': '5610.q7', 'prime': 0}
  • id: 27676
    {'conductor': 5610, 'elladic_image': '2.6.0.1', 'lmfdb_label': '5610.q7', 'modell_image': '2Cs', 'prime': 2}
  • id: 27677
    {'conductor': 5610, 'elladic_image': '3.8.0.1', 'lmfdb_label': '5610.q7', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 5610.q does not appear in ec_padic