Elliptic curve data - 94136.f2

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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': '94136f', 'Clabel': '94136f3', 'Cnumber': 3, 'abc_quality': 1.1170620055320515, 'absD': 23357440578848768, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2296, 'ainvs': [0, 0, 0, -99179, -9511098], 'analytic_rank': 1, 'bad_primes': [2, 7, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 94136, 'degree': 563200, 'elladic_images': ['8.12.0.15'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8547532065535664135868381495', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [11090466, 2401], 'lmfdb_iso': '94136.f', 'lmfdb_label': '94136.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -59, -138], 'min_quad_twist_disc': 41, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.k.1', '56.24.0.v.1', '164.12.0.?', '328.24.0.?', '2296.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4219410924396318318284124749', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1681], [7, 8, 13448], [41, 842, 56]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.63741774231187068864567298169', 'prec': 107}, 'szpiro_ratio': 4.027737575544182, '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, 0, 0, 2, 0, 1, 0, -3, 0, 4, 0, -2, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, 2, 1, 4, -2, 6, -8, 0, -6, 8, -2, 0, -4, 8, -6, 0, -6, 4, 8, 10, -16, 8, 6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 94136, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '94136.f', 'trace_hash': 1673047236559465788}
• 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': '0.024489608038505320800180639547', 'prec': 107}, 'conductor': 94136, 'gens': [[51209, 8601677, 10]], 'heights': [{'__RealLiteral__': 0, 'data': '7.4219410924396318318284124749', 'prec': 100}], 'lmfdb_label': '94136.f2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27316300036026217816747957068', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.1095987892317272570830769675103590862', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-246, 0, 1]], 'xcoord_integral_points': [-246]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 1, 0], '5': [3, 0], '7': [2, 0], '11': [3, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': 'a', '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '94136.f2'}
• ec_torsion_growth •

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

  
  
  • id: 4391536
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [2, 2]}
  • id: 4391537
    {'degree': 2, 'field': [41, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [4]}
  • id: 4391538
    {'degree': 2, 'field': [82, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [4]}
  • id: 4391539
    {'degree': 4, 'field': [441, 0, 40, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [2, 4]}
  • id: 4391543
    {'degree': 8, 'field': [-157199, -62464, -38396, -2518, -1208, -58, 4, -4, 1], 'lmfdb_label': '94136.f2', 'torsion': [6]}
  • id: 4391540
    {'degree': 8, 'field': [9522, 4248, -3652, -1152, 477, 116, -34, -4, 1], 'lmfdb_label': '94136.f2', 'torsion': [2, 4]}
  • id: 4391541
    {'degree': 8, 'field': [39802, -17164, 7568, -1492, 753, -108, 23, -2, 1], 'lmfdb_label': '94136.f2', 'torsion': [8]}
  • id: 4391542
    {'degree': 8, 'field': [525868, 88592, 60872, 3136, 2104, -56, 52, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [8]}
  • id: 4391546
    {'degree': 16, 'field': [38341961, 22766380, 55029534, 15057280, 25355796, 3173256, 6071018, 262888, 850777, 5176, 71222, -336, 3488, -12, 92, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [2, 8]}
  • id: 4391544
    {'degree': 16, 'field': [44363682, 44101992, -24151036, -34914456, 5719346, 12102976, -917880, -2305912, 142163, 255480, -18272, -16344, 1450, 560, -60, -8, 1], 'lmfdb_label': '94136.f2', 'torsion': [4, 4]}
  • id: 4391545
    {'degree': 16, 'field': [1579544498, 754108040, 768790876, 226948792, 134660178, 24608584, 12511784, 1337280, 826899, 47432, 42640, 280, 1482, -56, 44, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [2, 8]}
  • id: 4391549
    {'degree': 16, 'field': [30860651584, 0, 12262939136, 0, 2090790016, 0, 203295872, 0, 12376144, 0, 482600, 0, 11764, 0, 164, 0, 1], 'lmfdb_label': '94136.f2', 'torsion': [12]}
  • id: 4391547
    {'degree': 16, 'field': [47829581233, 14314389224, 13923985304, 5973294948, 1950101288, 358990060, 88871452, 10266600, -51038, 219672, -75332, 4340, -2128, -36, 8, -8, 1], 'lmfdb_label': '94136.f2', 'torsion': [2, 6]}
  • id: 4391548
    {'degree': 16, 'field': [62652987649, -18986317868, 16843262310, -976392004, 444695204, -2297652, 25617454, 9591160, 1345758, 572620, 33826, 2532, -340, -364, 18, -8, 1], 'lmfdb_label': '94136.f2', '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: 2307378
    {'conductor': 94136, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '94136.f2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 2307379
    {'conductor': 94136, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '94136.f2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2307380
    {'conductor': 94136, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '94136.f2', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2283917
    {'adelic_gens': [[1511, 0, 0, 2295], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [2289, 8, 2288, 9], [7, 6, 2290, 2291], [1641, 1968, 1804, 985], [1928, 1681, 1763, 1190], [1723, 820, 82, 1805]], 'adelic_image': '2296.48.0.?', 'conductor': 94136, 'lmfdb_label': '94136.f2', 'prime': 0}
  • id: 381012
    {'conductor': 94136, 'elladic_image': '8.12.0.15', 'lmfdb_label': '94136.f2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 4889824
    {'lmfdb_iso': '94136.f', 'p': 5, 'prec': 20, 'unit': 177691999078, 'val': 2}
  • id: 4889823
    {'lmfdb_iso': '94136.f', 'p': 11, 'prec': 20, 'unit': 3898970456793174859, 'val': 2}
  • id: 4889830
    {'lmfdb_iso': '94136.f', 'p': 13, 'prec': 20, 'unit': 170181832486705372341, 'val': 1}
  • id: 4889832
    {'lmfdb_iso': '94136.f', 'p': 17, 'prec': 20, 'unit': 2006305131630078035768, 'val': 2}
  • id: 4889833
    {'lmfdb_iso': '94136.f', 'p': 19, 'prec': 20, 'unit': 1425055503826595538892949, 'val': 1}
  • id: 4889829
    {'lmfdb_iso': '94136.f', 'p': 29, 'prec': 20, 'unit': 4395338191896359055055686113, 'val': 1}
  • id: 4889826
    {'lmfdb_iso': '94136.f', 'p': 31, 'prec': 20, 'unit': 455619802696680108749655638, 'val': 2}
  • id: 4889839
    {'lmfdb_iso': '94136.f', 'p': 37, 'prec': 20, 'unit': 432181305811673839269570280118, 'val': 1}
  • id: 4889828
    {'lmfdb_iso': '94136.f', 'p': 43, 'prec': 20, 'unit': 1064272186690431868440840819486, 'val': 1}
  • id: 4889831
    {'lmfdb_iso': '94136.f', 'p': 47, 'prec': 20, 'unit': 46613233648548320358238970353802, 'val': 1}
  • id: 4889834
    {'lmfdb_iso': '94136.f', 'p': 53, 'prec': 20, 'unit': 274377996434430580461119116351798, 'val': 1}
  • id: 4889838
    {'lmfdb_iso': '94136.f', 'p': 61, 'prec': 20, 'unit': 4903328562199030973296785713305305, 'val': 1}
  • id: 4889822
    {'lmfdb_iso': '94136.f', 'p': 67, 'prec': 20, 'unit': 45010184420551782273265265042820430, 'val': 1}
  • id: 4889825
    {'lmfdb_iso': '94136.f', 'p': 71, 'prec': 20, 'unit': 138085407904153158067382884473107993, 'val': 1}
  • id: 4889827
    {'lmfdb_iso': '94136.f', 'p': 73, 'prec': 20, 'unit': 66071689901964578857701925926582177, 'val': 1}
  • id: 4889837
    {'lmfdb_iso': '94136.f', 'p': 79, 'prec': 20, 'unit': 107672099932586865226979443549059883, 'val': 1}
  • id: 4889835
    {'lmfdb_iso': '94136.f', 'p': 83, 'prec': 20, 'unit': 2223338987742680917728671955866521676, 'val': 1}
  • id: 4889836
    {'lmfdb_iso': '94136.f', 'p': 89, 'prec': 20, 'unit': 1193541342804343357483619911944066704, 'val': 1}
  • id: 4889821
    {'lmfdb_iso': '94136.f', 'p': 97, 'prec': 20, 'unit': 41003177331278641485529235904067455692, 'val': 1}