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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 1, 1, 0, -1, 1, -1, 0, -1, -2, 0, -1, 1, -6, -1, 4, 1], 'aplist': [-1, -1, 1, 0, 0, -2, -6, 4, 0, -6, -8, 2, 6, -4, 0, -6, 0, 10, -4, 0, -2, 8, -12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 1470, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '1470.d', 'trace_hash': 523164032919590003}
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ec_padic • Show schema
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id: 38487
{'lmfdb_iso': '1470.d', 'p': 13, 'prec': 20, 'unit': 546856739461924751675, 'val': 1}
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id: 38489
{'lmfdb_iso': '1470.d', 'p': 17, 'prec': 20, 'unit': 131503652795152774109352, 'val': 1}
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id: 38480
{'lmfdb_iso': '1470.d', 'p': 19, 'prec': 20, 'unit': 1489746862360734937374957, 'val': 1}
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id: 38486
{'lmfdb_iso': '1470.d', 'p': 29, 'prec': 20, 'unit': 5309769667304203653472767588, 'val': 1}
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id: 38495
{'lmfdb_iso': '1470.d', 'p': 31, 'prec': 20, 'unit': 21171803449936191810966582461, 'val': 1}
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id: 38483
{'lmfdb_iso': '1470.d', 'p': 37, 'prec': 20, 'unit': 95601569574779292251726310842, 'val': 1}
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id: 38484
{'lmfdb_iso': '1470.d', 'p': 41, 'prec': 20, 'unit': 3852290628153962023090938150111, 'val': 1}
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id: 38485
{'lmfdb_iso': '1470.d', 'p': 43, 'prec': 20, 'unit': 10719476193759910201020168058882, 'val': 1}
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id: 38491
{'lmfdb_iso': '1470.d', 'p': 53, 'prec': 20, 'unit': 395235118003640622834988052145319, 'val': 1}
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id: 38494
{'lmfdb_iso': '1470.d', 'p': 61, 'prec': 20, 'unit': 5782031638939480094317253787080271, 'val': 1}
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id: 38482
{'lmfdb_iso': '1470.d', 'p': 67, 'prec': 20, 'unit': 49269116728580020320628355500838542, 'val': 1}
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id: 38492
{'lmfdb_iso': '1470.d', 'p': 73, 'prec': 20, 'unit': 141182750628696981288044549292590863, 'val': 1}
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id: 38488
{'lmfdb_iso': '1470.d', 'p': 79, 'prec': 20, 'unit': 55072956337754408036238855484059511, 'val': 1}
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id: 38490
{'lmfdb_iso': '1470.d', 'p': 83, 'prec': 20, 'unit': 213312993872645216241443674955821820, 'val': 1}
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id: 38493
{'lmfdb_iso': '1470.d', 'p': 89, 'prec': 20, 'unit': 7201075537793940888686645323291668563, 'val': 1}
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id: 38481
{'lmfdb_iso': '1470.d', 'p': 97, 'prec': 20, 'unit': 52175754829986180116595543633374756625, 'val': 1}
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ec_curvedata • Show schema
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id: 7978
{'Ciso': '1470d', 'Clabel': '1470d8', 'Cnumber': 8, 'abc_quality': 1.0818126452233845, 'absD': 9529569000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -261342, 51314796], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 6912, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5371210597440083328419186933', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 12, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [16778985534208729, 81000], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -5334, -150368], 'min_quad_twist_disc': -7, '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', '21.8.0-3.a.1.2', '24.96.1.dj.3', '40.12.0.v.1', '42.24.0-6.a.1.4', '56.12.0-4.c.1.2', '60.48.0.c.3', '84.48.0.?', '120.192.5.?', '140.12.0.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72281562331400992210881122939', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232158', 'prec': 103}, 'szpiro_ratio': 6.723467113978088, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 7977
{'Ciso': '1470d', 'Clabel': '1470d7', 'Cnumber': 7, 'abc_quality': 1.1359972360691755, 'absD': 689349609375000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -22222, 164284], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 6912, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5371210597440083328419186933', 'prec': 100}, 'faltings_index': 7, 'faltings_ratio': 12, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [10316097499609, 5859375000], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -454, -544], 'min_quad_twist_disc': -7, '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', '12.48.0.c.3', '21.8.0-3.a.1.2', '24.96.1.da.1', '40.12.0.bb.1', '42.24.0-6.a.1.4', '56.12.0-4.c.1.1', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72281562331400992210881122939', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.56416598521635168028924232158', 'prec': 103}, 'szpiro_ratio': 5.7095964082226125, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 7976
{'Ciso': '1470d', 'Clabel': '1470d6', 'Cnumber': 6, 'abc_quality': 1.0522127879225598, 'absD': 1058841000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -16342, 795796], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 3456, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1905474694640356781333026326', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4102915888729, 9000000], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -334, -2368], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '21.8.0-3.a.1.2', '24.96.1.cp.2', '40.12.0.a.1', '42.48.0-6.a.1.2', '56.12.0-2.a.1.1', '60.96.1.h.3', '84.96.0.?', '120.192.5.?', '140.12.0.?', '168.192.1.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 18, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.36140781165700496105440561470', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21759239493637902558062626088', 'prec': 103}, 'szpiro_ratio': 5.58317307203275, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 7974
{'Ciso': '1470d', 'Clabel': '1470d4', 'Cnumber': 4, 'abc_quality': 1.0501740895315954, 'absD': 3970653750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -14137, -652889], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 2304, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98781491540995348714429607482', 'prec': 103}, 'faltings_index': 4, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': -7, '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', '12.48.0.c.4', '21.8.0-3.a.1.1', '24.96.1.da.3', '40.12.0.bb.1', '42.24.0-6.a.1.3', '56.12.0-4.c.1.1', '84.96.0.?', '120.192.5.?', '168.192.1.?', '280.24.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1684468699420297663264336882', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703098', 'prec': 107}, 'szpiro_ratio': 5.523552469451175, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 7975
{'Ciso': '1470d', 'Clabel': '1470d5', 'Cnumber': 5, 'abc_quality': 1.0339287621454463, 'absD': 625235022090, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -3357, 63099], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 2304, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.98781491540995348714429607482', 'prec': 103}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [35578826569, 5314410], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -69, -194], 'min_quad_twist_disc': -7, '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', '21.8.0-3.a.1.1', '24.96.1.dj.4', '40.12.0.v.1', '42.24.0-6.a.1.3', '56.12.0-4.c.1.2', '60.48.0.c.4', '84.48.0.?', '120.192.5.?', '140.12.0.?', '168.192.1.?', '280.24.0.?', '420.96.0.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1684468699420297663264336882', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703098', 'prec': 107}, 'szpiro_ratio': 4.932180204726959, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 7972
{'Ciso': '1470d', 'Clabel': '1470d2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 8576612100, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -907, -9911], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 1152, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64124132512998083243568001409', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': -7, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.2', '21.8.0-3.a.1.1', '24.96.1.cp.4', '40.12.0.a.1', '42.48.0-6.a.1.1', '56.12.0-2.a.1.1', '60.96.1.h.1', '84.96.0.?', '120.192.5.?', '140.12.0.?', '168.192.1.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0842234349710148831632168441', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635763', 'prec': 107}, 'szpiro_ratio': 4.394031936841815, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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id: 7973
{'Ciso': '1470d', 'Clabel': '1470d3', 'Cnumber': 3, 'abc_quality': 1.0491971880149842, 'absD': 180708864000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, -662, 21204], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 1728, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.84397387918406302342468657183', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [-273359449, 1536000], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -14, -64], 'min_quad_twist_disc': -7, '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', '12.48.0.c.1', '21.8.0-3.a.1.2', '24.96.1.dh.4', '30.24.0.b.1', '40.12.0.bb.1', '42.24.0-6.a.1.4', '56.12.0-4.c.1.4', '60.96.1.n.2', '84.96.0.?', '120.192.5.?', '140.12.0.?', '168.192.1.?', '210.48.0.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.72281562331400992210881122939', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12898119534359362912798979989', 'prec': 107}, 'szpiro_ratio': 4.58971855781111, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 7971
{'Ciso': '1470d', 'Clabel': '1470d1', 'Cnumber': 1, 'abc_quality': 0.9968917246282063, 'absD': 254121840, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 840, 'ainvs': [1, 1, 0, 73, -699], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 1470, 'degree': 576, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.29466773485000817772706395336', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [357911, 2160], 'lmfdb_iso': '1470.d', 'lmfdb_label': '1470.d8', 'lmfdb_number': 8, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1, 2], 'min_quad_twist_disc': -7, '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', '12.48.0.c.2', '21.8.0-3.a.1.1', '24.96.1.dh.3', '30.24.0.b.1', '40.12.0.bb.1', '42.24.0-6.a.1.3', '56.12.0-4.c.1.4', '60.96.1.n.4', '84.96.0.?', '120.192.5.?', '140.12.0.?', '168.192.1.?', '210.48.0.?', '280.24.0.?', '420.192.1.?', '840.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1684468699420297663264336882', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67828733967764847482561241836', 'prec': 107}, 'szpiro_ratio': 3.662028564504208, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}