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ec_curvedata • Show schema
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{'Ciso': '14a', 'Clabel': '14a1', 'Cnumber': 1, 'abc_quality': 0.9869508090989833, 'absD': 21952, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [1, 0, 1, 4, -6], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 14, 'degree': 1, 'elladic_images': ['8.6.0.1', '3.24.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9938375, 21952], 'lmfdb_iso': '14.a', 'lmfdb_label': '14.a6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 4, -6], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3Cs.1.1'], 'modm_images': ['2.3.0.a.1', '3.24.0-3.a.1.1', '6.72.0-6.a.1.1', '8.6.0.c.1', '14.6.0.b.1', '24.144.1-24.n.1.1', '42.144.1-42.d.1.2', '56.12.0.n.1', '63.72.0-63.a.1.3', '126.432.7.?', '168.288.5.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.48277875419094304282545632435', 'prec': 107}, 'szpiro_ratio': 6.49759476362272, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 0, 2, 1, -1, 1, 0, 0, -2, -4, -1, 0, 1, 6, -1, 2, 0], 'aplist': [-1, -2, 0, 1, 0, -4, 6, 2, 0, -6, -4, 2, 6, 8, -12, 6, -6, 8, -4, 0, 2, 8, -6, -6, -10], 'class_deg': 18, 'class_size': 6, 'conductor': 14, 'isogeny_matrix': [[1, 2, 3, 9, 18, 6], [2, 1, 6, 18, 9, 3], [3, 6, 1, 3, 6, 2], [9, 18, 3, 1, 2, 6], [18, 9, 6, 2, 1, 3], [6, 3, 2, 6, 3, 1]], 'lmfdb_iso': '14.a', 'trace_hash': 1459918945821948014}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '2.6262514055820161864978549689', 'prec': 100}, 'conductor': 14, 'gens': [], 'heights': [], 'lmfdb_label': '14.a6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.9813419560668832341695716767', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.33022365934448053902826194612222809986', 'prec': 133}, 'tamagawa_product': 6, 'torsion_generators': [[9, 23, 1]], 'xcoord_integral_points': [1, 2, 9]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 0], '3': [0, 1], '7': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '14.a6'}
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ec_torsion_growth • Show schema
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id: 26
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '14.a6', 'torsion': [3, 6]}
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id: 25
{'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '14.a6', 'torsion': [2, 6]}
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id: 27
{'degree': 4, 'field': [1, -2, 1, -2, 1], 'lmfdb_label': '14.a6', 'torsion': [12]}
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id: 28
{'degree': 4, 'field': [4, -2, -1, -1, 1], 'lmfdb_label': '14.a6', 'torsion': [6, 6]}
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id: 31
{'degree': 8, 'field': [1, -2, 3, 2, -4, 2, 3, -2, 1], 'lmfdb_label': '14.a6', 'torsion': [3, 12]}
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id: 29
{'degree': 8, 'field': [2, -2, 3, -4, 6, -2, 6, -2, 1], 'lmfdb_label': '14.a6', 'torsion': [2, 12]}
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id: 30
{'degree': 8, 'field': [4, 0, -6, 0, 1, 0, 4, 0, 1], 'lmfdb_label': '14.a6', 'torsion': [2, 12]}
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id: 32
{'degree': 9, 'field': [1, 0, 0, 3, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '14.a6', 'torsion': [18]}
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id: 33
{'degree': 16, 'field': [-1, 4, 2, -8, -11, 8, 34, 28, -16, -28, -34, 8, 11, 8, 2, -4, 1], 'lmfdb_label': '14.a6', 'torsion': [24]}
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id: 34
{'degree': 16, 'field': [4, -4, -2, 10, -11, 8, 18, -28, 16, 28, -34, 8, 26, -8, -2, -2, 1], 'lmfdb_label': '14.a6', 'torsion': [6, 12]}
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id: 35
{'degree': 16, 'field': [16, 0, 24, 0, 32, 0, 38, 0, 21, 0, -16, 0, 15, 0, -4, 0, 1], 'lmfdb_label': '14.a6', 'torsion': [6, 12]}
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id: 38
{'degree': 18, 'field': [1, 0, 0, -8, 0, 0, 155, 0, 0, -260, 0, 0, 155, 0, 0, -8, 0, 0, 1], 'lmfdb_label': '14.a6', 'torsion': [3, 18]}
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id: 39
{'degree': 18, 'field': [1, 0, 0, -6, 0, 0, 22, 0, 0, -20, 0, 0, 15, 0, 0, -6, 0, 0, 1], 'lmfdb_label': '14.a6', 'torsion': [2, 18]}
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id: 37
{'degree': 18, 'field': [1, 0, 0, -2, 0, 0, 9, 0, 0, -6, 0, 0, 5, 0, 0, -4, 0, 0, 1], 'lmfdb_label': '14.a6', 'torsion': [3, 18]}
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id: 36
{'degree': 18, 'field': [7, 21, 21, 36, 48, 30, 25, -6, 30, -73, 99, -138, 151, -132, 114, -80, 36, -9, 1], 'lmfdb_label': '14.a6', 'torsion': [3, 18]}
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ec_localdata • Show schema
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id: 3
{'conductor': 14, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '14.a6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4
{'conductor': 14, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '14.a6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1665896
{'adelic_gens': [[1, 36, 0, 1], [325, 276, 18, 163], [1, 0, 36, 1], [469, 36, 468, 37], [253, 36, 0, 29], [1, 6, 6, 37], [253, 36, 18, 145], [19, 24, 432, 307], [94, 3, 405, 196]], 'adelic_image': '504.864.21.?', 'conductor': 14, 'lmfdb_label': '14.a6', 'prime': 0}
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id: 13
{'conductor': 14, 'elladic_image': '8.6.0.1', 'lmfdb_label': '14.a6', 'modell_image': '2B', 'prime': 2}
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id: 14
{'conductor': 14, 'elladic_image': '3.24.0.1', 'lmfdb_label': '14.a6', 'modell_image': '3Cs.1.1', 'prime': 3}
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lmfdb_iso 14.a does not appear in ec_padic