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ec_curvedata • Show schema
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{'Ciso': '3136k', 'Clabel': '3136k4', 'Cnumber': 4, 'abc_quality': 1.0082122835525031, 'absD': 29027283136151552, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 504, 'ainvs': [0, 1, 0, -111393, 11692351], 'analytic_rank': 0, 'bad_primes': [2, 7], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 3136, 'degree': 18432, 'elladic_images': ['8.6.0.6', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8764706814566042285616842903', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [4956477625, 941192], 'lmfdb_iso': '3136.e', 'lmfdb_label': '3136.e3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, -70], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '8.6.0.b.1', '12.72.0-6.a.1.6', '24.144.1-24.h.1.8', '28.6.0.c.1', '42.72.0-6.a.1.2', '56.12.0.k.1', '63.36.0.a.1', '84.144.1.?', '126.216.2.?', '168.288.5.?', '252.432.7.?', '504.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.13620516391097038811684026361', 'prec': 107}, 'szpiro_ratio': 5.772920589837435, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, -4, 0, 0, 0, -6, 0, 2, 0], 'aplist': [0, -2, 0, 0, 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': 3136, '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': '3136.e', 'trace_hash': 1422146765026648502}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.023448673264125144522302276508', 'prec': 107}, 'conductor': 3136, 'gens': [], 'heights': [], 'lmfdb_label': '3136.e3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.35425243486158037401123451882', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.70850486972316074802246903763197407034', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[121, 0, 1]], 'xcoord_integral_points': [121]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '7': 'a'}, 'iwp0': 5, 'lmfdb_label': '3136.e3'}
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ec_torsion_growth • Show schema
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id: 162468
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [6]}
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id: 162467
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 2]}
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id: 162469
{'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [6]}
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id: 162470
{'degree': 4, 'field': [2, 0, -1, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [4]}
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id: 162472
{'degree': 4, 'field': [7, 14, -13, -2, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 6]}
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id: 162473
{'degree': 4, 'field': [16, 0, 6, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 6]}
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id: 162471
{'degree': 4, 'field': [196, 0, -14, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [3, 6]}
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id: 162475
{'degree': 8, 'field': [1, 0, 2, 0, 10, 0, 2, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 12]}
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id: 162476
{'degree': 8, 'field': [4, 24, 22, -104, 83, -40, 18, -4, 1], 'lmfdb_label': '3136.e3', 'torsion': [6, 6]}
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id: 162477
{'degree': 8, 'field': [121, 0, -26, 0, 26, 0, -10, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [12]}
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id: 162474
{'degree': 8, 'field': [196, 0, -224, 0, 58, 0, -8, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 4]}
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id: 162479
{'degree': 16, 'field': [1, 0, -2, 0, -6, 0, -16, 0, 95, 0, -16, 0, -6, 0, -2, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [6, 12]}
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id: 162481
{'degree': 16, 'field': [16, 0, 0, 0, 56, 0, 0, 0, 64, 0, 0, 0, 14, 0, 0, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 12]}
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id: 162480
{'degree': 16, 'field': [256, 0, -1024, 0, 1056, 0, -320, 0, 20, 0, -80, 0, 66, 0, -16, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [2, 12]}
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id: 162478
{'degree': 16, 'field': [784, 0, -392, 0, 161, 0, 126, 0, -59, 0, 24, 0, 5, 0, -2, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [8]}
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id: 162482
{'degree': 18, 'field': [-4741632, 0, 0, 0, 0, 0, 4418820, 0, 0, 0, 0, 0, -5796, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [18]}
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id: 162483
{'degree': 18, 'field': [175616, 0, 0, 0, 0, 0, 31360, 0, 0, 0, 0, 0, 952, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3136.e3', 'torsion': [18]}
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ec_localdata • Show schema
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id: 56280
{'conductor': 3136, 'conductor_valuation': 6, 'discriminant_valuation': 21, 'j_denominator_valuation': 3, 'kodaira_symbol': -15, 'lmfdb_label': '3136.e3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 56281
{'conductor': 3136, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '3136.e3', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1684294
{'adelic_gens': [[1, 36, 0, 1], [325, 276, 18, 163], [1, 0, 36, 1], [494, 501, 255, 152], [469, 36, 468, 37], [59, 468, 330, 227], [253, 36, 0, 29], [1, 6, 6, 37], [19, 24, 432, 307]], 'adelic_image': '504.864.21.?', 'conductor': 3136, 'lmfdb_label': '3136.e3', 'prime': 0}
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id: 15597
{'conductor': 3136, 'elladic_image': '8.6.0.6', 'lmfdb_label': '3136.e3', 'modell_image': '2B', 'prime': 2}
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id: 15598
{'conductor': 3136, 'elladic_image': '3.12.0.1', 'lmfdb_label': '3136.e3', 'modell_image': '3Cs', 'prime': 3}
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lmfdb_iso 3136.e does not appear in ec_padic