Elliptic curve data - 25410.w6

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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': '25410v', 'Clabel': '25410v4', 'Cnumber': 4, 'abc_quality': 1.1620070102954823, 'absD': 32951805229035000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -9804, -8742494], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 25410, 'degree': 276480, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8486675051010551851592917712', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-58818484369, 18600435000], 'lmfdb_iso': '25410.w', 'lmfdb_label': '25410.w6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -81, 6561], 'min_quad_twist_disc': -11, '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', '12.24.0.g.1', '24.48.0.bu.1', '33.8.0-3.a.1.2', '56.12.0.v.1', '66.24.0-6.a.1.2', '84.48.0.?', '88.12.0.?', '120.96.1.?', '132.48.0.?', '168.96.1.?', '264.96.0.?', '308.12.0.?', '616.24.0.?', '840.192.5.?', '924.96.0.?', '1320.192.1.?', '1848.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2250164299752621313020714735', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 847], [3, 4, 4235], [5, 6, 5082], [7, 8, 3630], [11, 62, 210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.64971986870186991312831998222', 'prec': 103}, 'szpiro_ratio': 4.48494802557668, '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, 1, 1, -1, -1, -1, -1, 1, 1, 0, 1, -2, 1, -1, 1, 6, -1, 4, -1], 'aplist': [-1, 1, -1, -1, 0, -2, 6, 4, 0, 6, -4, 2, -6, -8, -12, 6, -12, -2, 8, 0, -14, 16, -12, 6, 14], 'class_deg': 12, 'class_size': 8, 'conductor': 25410, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '25410.w', 'trace_hash': 766998379644351428}
• 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': '0.024789502289545623436146461027', 'prec': 107}, 'conductor': 25410, 'gens': [[494, 10098, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2250164299752621313020714735', 'prec': 100}], 'lmfdb_label': '25410.w6', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16522598661552584677204254444', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4115664185410131607409186179443582946', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[887, -891, 2]], 'xcoord_integral_points': [494, 728]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [3, 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, 0]}, 'iwp0': 0, 'lmfdb_label': '25410.w6'}
• ec_torsion_growth •

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

  
  
  • id: 1279947
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [4]}
  • id: 1279949
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '25410.w6', 'torsion': [6]}
  • id: 1279946
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 2]}
  • id: 1279948
    {'degree': 2, 'field': [77, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [4]}
  • id: 1279952
    {'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '25410.w6', 'torsion': [12]}
  • id: 1279950
    {'degree': 4, 'field': [81, 0, -4, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 4]}
  • id: 1279953
    {'degree': 4, 'field': [93, 8, -7, -2, 1], 'lmfdb_label': '25410.w6', 'torsion': [12]}
  • id: 1279951
    {'degree': 4, 'field': [135, -34, 35, -2, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 6]}
  • id: 1279954
    {'degree': 6, 'field': [-384, -48, -164, -102, 1, -3, 1], 'lmfdb_label': '25410.w6', 'torsion': [6]}
  • id: 1279958
    {'degree': 8, 'field': [81, -252, 444, -412, 277, -88, 34, -4, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 12]}
  • id: 1279956
    {'degree': 8, 'field': [3276, 10800, 15816, 12960, 2512, -360, -116, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [8]}
  • id: 1279955
    {'degree': 8, 'field': [4636, 1456, 200, 224, 360, -56, 36, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 4]}
  • id: 1279957
    {'degree': 8, 'field': [1566196, -154308, 77774, 20328, 3174, -462, 197, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [8]}
  • id: 1279959
    {'degree': 12, 'field': [36, -1062, 10401, 1239, 2308, 255, 647, -450, 3, 21, -4, -3, 1], 'lmfdb_label': '25410.w6', 'torsion': [3, 6]}
  • id: 1279961
    {'degree': 12, 'field': [2304, 0, -336864, 0, -71504, 0, -2104, 0, 564, 0, -34, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [12]}
  • id: 1279962
    {'degree': 12, 'field': [4895892, 128736, -180003, 101700, -47819, -6252, 6341, -3450, 621, 150, -19, -6, 1], 'lmfdb_label': '25410.w6', 'torsion': [12]}
  • id: 1279960
    {'degree': 12, 'field': [39916647, -53375670, 33466407, -14327754, 4126111, -727896, 114050, -7632, 2049, -210, 95, -6, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 6]}
  • id: 1279963
    {'degree': 16, 'field': [826281, 1221696, 903168, 88368, 100090, 125944, 81536, -18592, 1567, 3752, 1568, -1120, 214, -56, 0, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [4, 4]}
  • id: 1279966
    {'degree': 16, 'field': [1697809, 0, 94788, 0, 316470, 0, 38304, 0, 22855, 0, 2520, 0, 546, 0, 36, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 12]}
  • id: 1279968
    {'degree': 16, 'field': [10015569, -7216182, 9791694, -5742450, 4440444, -2147304, 1188640, -474218, 213789, -78160, 31208, -9666, 2612, -490, 90, -8, 1], 'lmfdb_label': '25410.w6', 'torsion': [24]}
  • id: 1279967
    {'degree': 16, 'field': [268573779, 67287888, -50710860, -31270536, 11143476, 4793832, -637328, -758984, 113985, 43064, -1036, -4320, 902, -112, 36, -8, 1], 'lmfdb_label': '25410.w6', 'torsion': [24]}
  • id: 1279965
    {'degree': 16, 'field': [732044196, -502709760, 521157888, -146855520, 87608088, -12054000, 8745040, -53760, -615704, 560, 37840, -2800, 1108, -280, -8, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 8]}
  • id: 1279964
    {'degree': 16, 'field': [1688716836, 0, 512045064, 0, 75154536, 0, 4785684, 0, 375469, 0, 11456, 0, 858, 0, 20, 0, 1], 'lmfdb_label': '25410.w6', 'torsion': [2, 8]}
  • id: 1279969
    {'degree': 18, 'field': [90234675, 99478125, 110891025, 82553160, 51085890, 26267670, 11486942, 3758664, 836421, -1397, -138249, -46872, -726, 1350, 486, -88, 3, -3, 1], 'lmfdb_label': '25410.w6', '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: 584466
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '25410.w6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 584467
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '25410.w6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 584468
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '25410.w6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 584469
    {'conductor': 25410, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25410.w6', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 584470
    {'conductor': 25410, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '25410.w6', '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: 1833921
    {'adelic_gens': [[1, 12, 12, 145], [15, 106, 7934, 11], [6719, 0, 0, 9239], [4621, 4224, 572, 6029], [9217, 24, 9216, 25], [496, 2541, 7755, 2146], [1, 24, 0, 1], [3697, 4224, 4884, 4489], [2311, 4224, 9042, 4489], [1926, 4609, 4235, 2696], [1, 0, 24, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 25410, 'lmfdb_label': '25410.w6', 'prime': 0}
  • id: 116104
    {'conductor': 25410, 'elladic_image': '4.6.0.1', 'lmfdb_label': '25410.w6', 'modell_image': '2B', 'prime': 2}
  • id: 116105
    {'conductor': 25410, 'elladic_image': '3.4.0.1', 'lmfdb_label': '25410.w6', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1210658
    {'lmfdb_iso': '25410.w', 'p': 13, 'prec': 20, 'unit': 1436912131391007766934, 'val': 1}
  • id: 1210660
    {'lmfdb_iso': '25410.w', 'p': 17, 'prec': 20, 'unit': 8051297117696914952752, 'val': 2}
  • id: 1210661
    {'lmfdb_iso': '25410.w', 'p': 19, 'prec': 20, 'unit': 1582794377173193178264223, 'val': 1}
  • id: 1210657
    {'lmfdb_iso': '25410.w', 'p': 29, 'prec': 20, 'unit': 3587744740278888578713930617, 'val': 1}
  • id: 1210668
    {'lmfdb_iso': '25410.w', 'p': 31, 'prec': 20, 'unit': 18462858244827401813836504815, 'val': 1}
  • id: 1210654
    {'lmfdb_iso': '25410.w', 'p': 37, 'prec': 20, 'unit': 95610899477507573091104469166, 'val': 1}
  • id: 1210655
    {'lmfdb_iso': '25410.w', 'p': 41, 'prec': 20, 'unit': 3167226481292258099609878707598, 'val': 1}
  • id: 1210656
    {'lmfdb_iso': '25410.w', 'p': 43, 'prec': 20, 'unit': 5561443170711387990821984952756, 'val': 1}
  • id: 1210666
    {'lmfdb_iso': '25410.w', 'p': 47, 'prec': 20, 'unit': 19334474209712604292492118937159, 'val': 1}
  • id: 1210662
    {'lmfdb_iso': '25410.w', 'p': 53, 'prec': 20, 'unit': 180745274289871764516063590598319, 'val': 1}
  • id: 1210663
    {'lmfdb_iso': '25410.w', 'p': 59, 'prec': 20, 'unit': 2815052494677604901672618318149114, 'val': 1}
  • id: 1210667
    {'lmfdb_iso': '25410.w', 'p': 61, 'prec': 20, 'unit': 2198158125986478560430669519993700, 'val': 1}
  • id: 1210653
    {'lmfdb_iso': '25410.w', 'p': 67, 'prec': 20, 'unit': 48976902619266754784144658028959966, 'val': 1}
  • id: 1210664
    {'lmfdb_iso': '25410.w', 'p': 73, 'prec': 20, 'unit': 19170659257531607260700967808523321, 'val': 1}
  • id: 1210659
    {'lmfdb_iso': '25410.w', 'p': 79, 'prec': 20, 'unit': 697207165678831670267838461292066379, 'val': 1}
  • id: 1210652
    {'lmfdb_iso': '25410.w', 'p': 83, 'prec': 20, 'unit': 2052636504543254307163018665318867753, 'val': 1}
  • id: 1210665
    {'lmfdb_iso': '25410.w', 'p': 89, 'prec': 20, 'unit': 3867282887347343689025436977148093843, 'val': 1}
  • id: 1210651
    {'lmfdb_iso': '25410.w', 'p': 97, 'prec': 20, 'unit': 37536182894011088666087203061141029000, 'val': 1}