Elliptic curve data - 96330.a2

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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': '96330c', 'Clabel': '96330c3', 'Cnumber': 3, 'abc_quality': 1.081271340032757, 'absD': 799427010570804427500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 29640, 'ainvs': [1, 1, 0, -5266043, 4445738913], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 96330, 'degree': 7372800, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7699630666511798914308759995', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [3345930611358906241, 165622259047500], 'lmfdb_iso': '96330.a', 'lmfdb_label': '96330.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -31160, 2011565], 'min_quad_twist_disc': 13, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '52.12.0-4.c.1.1', '76.12.0.?', '120.12.0.?', '988.24.0.?', '1560.24.0.?', '2280.24.0.?', '29640.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.4798301071044402916593226955', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4874883879204115234041322787', 'prec': 100}, 'szpiro_ratio': 5.058062417139266, '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, -4, -1, 1, 1, 0, -1, 0, 4, 1, 1, 2, -1, -1, -1], 'aplist': [-1, -1, -1, -4, 0, 0, 2, -1, 8, 2, 8, -10, -6, -8, 0, -2, 12, -2, 12, 8, -2, -16, 4, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 96330, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '96330.a', 'trace_hash': 1054806900075182170}
• 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': '0.0039268168885887618086798059773', 'prec': 110}, 'conductor': 96330, 'gens': [[6351, 69699, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '4.4798301071044402916593226955', 'prec': 100}], 'lmfdb_label': '96330.a2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15712305744446725374497624034', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8155384130400994473930309422655254383', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-10549, 10549, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [3, 0], '5': [3, 0], '7': [1, 0], '11': [1, 1, 0], '13': 'a', '17': [1, 0], '19': [1, 0], '23': [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': '96330.a2'}
• ec_torsion_growth •

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

  
  
  • id: 4482706
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [2, 2]}
  • id: 4482707
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [4]}
  • id: 4482708
    {'degree': 2, 'field': [62, -1, 1], 'lmfdb_label': '96330.a2', 'torsion': [4]}
  • id: 4482709
    {'degree': 4, 'field': [64, 0, -3, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [2, 4]}
  • id: 4482710
    {'degree': 8, 'field': [-1167, -646, 194, 114, 251, -38, -32, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [2, 4]}
  • id: 4482711
    {'degree': 8, 'field': [121801, 0, 84, 0, 1022, 0, 36, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [8]}
  • id: 4482713
    {'degree': 8, 'field': [205234, 722077, 498370, 115971, 5085, -651, -35, -2, 1], 'lmfdb_label': '96330.a2', 'torsion': [6]}
  • id: 4482712
    {'degree': 8, 'field': [2990179, -2764294, 923203, -136462, 9828, -302, -35, -2, 1], 'lmfdb_label': '96330.a2', 'torsion': [8]}
  • id: 4482714
    {'degree': 16, 'field': [13924, 0, 25728, 0, 98340, 0, -41196, 0, 12445, 0, -1860, 0, 246, 0, -24, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [4, 4]}
  • id: 4482718
    {'degree': 16, 'field': [774400, 0, 1515293, 0, 418090, 0, -69069, 0, -17733, 0, 2535, 0, 295, 0, 26, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [12]}
  • id: 4482715
    {'degree': 16, 'field': [229288996, -782266096, 1010709248, -627109976, 195124096, -13383960, -12486616, 5100412, -768419, -35956, 33896, -3300, -494, 68, 32, -8, 1], 'lmfdb_label': '96330.a2', 'torsion': [2, 8]}
  • id: 4482716
    {'degree': 16, 'field': [4463709721, 0, 1459143984, 0, 61306510, 0, -30294564, 0, 4248879, 0, -261804, 0, 9550, 0, -156, 0, 1], 'lmfdb_label': '96330.a2', 'torsion': [2, 8]}
  • id: 4482717
    {'degree': 16, 'field': [8518246710, 39087125262, -55996001315, 39436458586, -33652472888, 16403096624, -4928918443, -479356792, 141701921, -14467378, 2783579, 62632, -12653, 994, -122, -8, 1], 'lmfdb_label': '96330.a2', 'torsion': [2, 6]}
  • id: 4482719
    {'degree': 16, 'field': [839367217152, 57880230336, 35028866952, 15524067300, 10871641524, 1159211532, 397474060, 14506274, 19101716, -203711, 119512, -70497, -1757, -865, 125, -2, 1], 'lmfdb_label': '96330.a2', 'torsion': [12]}
• 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: 2361807
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '96330.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2361808
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '96330.a2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2361809
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '96330.a2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2361810
    {'conductor': 96330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '96330.a2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2361811
    {'conductor': 96330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '96330.a2', 'prime': 19, '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: 2297751
    {'adelic_gens': [[859, 858, 18538, 17395], [29633, 8, 29632, 9], [26768, 4563, 16445, 11402], [11857, 2288, 4108, 9153], [1, 0, 8, 1], [7, 6, 29634, 29635], [1, 8, 0, 1], [1, 4, 4, 17], [9881, 2288, 25844, 9153], [11688, 5993, 11713, 2640], [11399, 0, 0, 29639]], 'adelic_image': '29640.48.0.?', 'conductor': 96330, 'lmfdb_label': '96330.a2', 'prime': 0}
  • id: 388509
    {'conductor': 96330, 'elladic_image': '4.6.0.1', 'lmfdb_label': '96330.a2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 5008493
    {'lmfdb_iso': '96330.a', 'p': 7, 'prec': 20, 'unit': 10573572781984677, 'val': 1}
  • id: 5008498
    {'lmfdb_iso': '96330.a', 'p': 17, 'prec': 20, 'unit': 6786678948965144056060, 'val': 1}
  • id: 5008502
    {'lmfdb_iso': '96330.a', 'p': 23, 'prec': 20, 'unit': 68607223164722281998467206, 'val': 1}
  • id: 5008496
    {'lmfdb_iso': '96330.a', 'p': 29, 'prec': 20, 'unit': 3953803887423135570577092583, 'val': 1}
  • id: 5008507
    {'lmfdb_iso': '96330.a', 'p': 31, 'prec': 20, 'unit': 235698473319394172494179664, 'val': 1}
  • id: 5008492
    {'lmfdb_iso': '96330.a', 'p': 37, 'prec': 20, 'unit': 215990806902985946676865084809, 'val': 1}
  • id: 5008494
    {'lmfdb_iso': '96330.a', 'p': 41, 'prec': 20, 'unit': 950753695636491840312401621347, 'val': 1}
  • id: 5008495
    {'lmfdb_iso': '96330.a', 'p': 43, 'prec': 20, 'unit': 1368334969035546657147010746246, 'val': 1}
  • id: 5008500
    {'lmfdb_iso': '96330.a', 'p': 53, 'prec': 20, 'unit': 386628651264946320809593852001597, 'val': 1}
  • id: 5008505
    {'lmfdb_iso': '96330.a', 'p': 59, 'prec': 20, 'unit': 4006013561887725392205690671618962, 'val': 1}
  • id: 5008506
    {'lmfdb_iso': '96330.a', 'p': 61, 'prec': 20, 'unit': 1584476586079867668339146080059118, 'val': 1}
  • id: 5008491
    {'lmfdb_iso': '96330.a', 'p': 67, 'prec': 20, 'unit': 25077188358129922372798141162239509, 'val': 1}
  • id: 5008504
    {'lmfdb_iso': '96330.a', 'p': 71, 'prec': 20, 'unit': 53990433138029178406545739611867649, 'val': 1}
  • id: 5008501
    {'lmfdb_iso': '96330.a', 'p': 73, 'prec': 20, 'unit': 117521305079565689693004485038571896, 'val': 1}
  • id: 5008497
    {'lmfdb_iso': '96330.a', 'p': 79, 'prec': 20, 'unit': 755842923587548015177467636925240195, 'val': 1}
  • id: 5008499
    {'lmfdb_iso': '96330.a', 'p': 83, 'prec': 20, 'unit': 1219360811405024738321287055234646378, 'val': 1}
  • id: 5008503
    {'lmfdb_iso': '96330.a', 'p': 89, 'prec': 20, 'unit': 6341103206813264056482518306256353812, 'val': 1}
  • id: 5008490
    {'lmfdb_iso': '96330.a', 'p': 97, 'prec': 20, 'unit': 2929819898175400526746441446679498292, 'val': 1}