Elliptic curve data - 305760.i1

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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': '305760i', 'Clabel': '305760i2', 'Cnumber': 2, 'abc_quality': 0.9503844571476939, 'absD': 1828272373017592320, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 7280, 'ainvs': [0, -1, 0, -2791056, 1794488760], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 305760, 'degree': 7864320, 'elladic_images': ['16.24.0.18'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4366042009930815162222435464', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2, 4], 'jinv': [39918233807262728, 30351677265], 'lmfdb_iso': '305760.i', 'lmfdb_label': '305760.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -56960, 5248020], 'min_quad_twist_disc': 28, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.o.1', '16.24.0-8.o.1.2', '28.12.0-4.c.1.1', '56.24.0-8.o.1.4', '112.48.0.?', '520.24.0.?', '1040.96.0.?', '3640.48.0.?', '7280.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.363655786589236462657650794', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 3185], [3, 4, 101920], [5, 6, 61152], [7, 32, 6240], [13, 14, 23520]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.94378874104546588160664308358', 'prec': 103}, 'szpiro_ratio': 4.444728814037476, '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, -1, 0, 0, 0, 1, 0, -4, 0, -1, 0, 1, 0, 6, 0, 4, 0], 'aplist': [0, -1, -1, 0, -4, -1, 6, 4, 4, 6, -4, -2, -2, -4, -8, -10, -4, -14, -16, 12, 6, 8, 0, 14, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 305760, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '305760.i', 'trace_hash': 1754648045378745890}
• 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': '0.0076487854994712883987459164259', 'prec': 110}, 'conductor': 305760, 'gens': [[36785, 5551615, 4]], 'heights': [{'__RealLiteral__': 0, 'data': '10.363655786589236462657650794', 'prec': 100}], 'lmfdb_label': '305760.i1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.26192397114736295299890786165', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4289797584556005614665884933406187754', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[985, 0, 1]], 'xcoord_integral_points': [985]}
• lmfdb_label 305760.i1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12918352
    {'degree': 2, 'field': [-910, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [4]}
  • id: 12918351
    {'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [2, 2]}
  • id: 12918353
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [4]}
  • id: 12918354
    {'degree': 4, 'field': [15129, 0, -274, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [2, 4]}
  • id: 12918358
    {'degree': 8, 'field': [-7203, 0, -11816, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [6]}
  • id: 12918355
    {'degree': 8, 'field': [16786, -2632, 2396, 464, -211, -28, 14, -4, 1], 'lmfdb_label': '305760.i1', 'torsion': [2, 4]}
  • id: 12918357
    {'degree': 8, 'field': [25578, 5880, -5362, -1008, 435, 80, -22, -4, 1], 'lmfdb_label': '305760.i1', 'torsion': [8]}
  • id: 12918356
    {'degree': 8, 'field': [76720081, 0, -5513372, 0, 92594, 0, -548, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [2, 8]}
  • id: 12918360
    {'degree': 16, 'field': [110544196, 0, -5034176, 0, 4975828, 0, -886584, 0, 31053, 0, -5508, 0, 1342, 0, -68, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [2, 8]}
  • id: 12918359
    {'degree': 16, 'field': [281769796, 0, -73511088, 0, 1099620, 0, 903792, 0, 150109, 0, -1812, 0, -450, 0, -12, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [4, 4]}
  • id: 12918363
    {'degree': 16, 'field': [10387686400, 0, -2967910400, 0, 211993600, 0, 11327232, 0, -1420608, 0, -51072, 0, 784, 0, -56, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [12]}
  • id: 12918362
    {'degree': 16, 'field': [10120811296631049, 0, 649425941127936, 0, 14555395185660, 0, 167746578048, 0, 408567390, 0, -21375872, 0, -142548, 0, 0, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [12]}
  • id: 12918361
    {'degree': 16, 'field': [77895758912945689, 0, -5153085422416544, 0, 138723445566580, 0, -2109911313552, 0, 20121766350, 0, -123208512, 0, 472612, 0, -1040, 0, 1], 'lmfdb_label': '305760.i1', 'torsion': [2, 6]}
• 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: 7572428
    {'conductor': 305760, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '305760.i1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 7572429
    {'conductor': 305760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '305760.i1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7572430
    {'conductor': 305760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '305760.i1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7572431
    {'conductor': 305760, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '305760.i1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7572432
    {'conductor': 305760, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '305760.i1', 'prime': 13, '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: 3585721
    {'adelic_gens': [[1834, 1823, 93, 20], [5838, 3, 4461, 20], [1, 16, 0, 1], [3119, 7264, 3112, 7151], [1, 8, 8, 65], [7279, 3624, 2722, 6241], [4488, 9, 5623, 26], [1, 0, 16, 1], [15, 166, 6994, 4115], [7265, 16, 7264, 17]], 'adelic_image': '7280.192.3.?', 'conductor': 305760, 'lmfdb_label': '305760.i1', 'prime': 0}
  • id: 1075985
    {'conductor': 305760, 'elladic_image': '16.24.0.18', 'lmfdb_label': '305760.i1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 305760.i does not appear in ec_padic