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ec_curvedata • Show schema
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{'Ciso': '8640bc', 'Clabel': '8640bc1', 'Cnumber': 1, 'abc_quality': 0.9471210563217868, 'absD': 777600000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 30, 'ainvs': [0, 0, 0, 132, -1208], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 8640, 'degree': 3840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.38928147070128760220437037781', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1], 'jinv': [1022208, 3125], 'lmfdb_iso': '8640.x', 'lmfdb_label': '8640.x1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 297, -4077], 'min_quad_twist_disc': 24, 'modell_images': [], 'modm_images': ['30.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 135], [3, 8, 160], [5, 6, 1728]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.64609630004371252705800857212', 'prec': 107}, 'szpiro_ratio': 3.0578227693288826, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 2, 0, 0, 0, 0, 0, 6, 0, 0, 0, -7, 0, 7, 0], 'aplist': [0, 0, -1, 2, 0, 6, -7, 7, 7, 6, -3, 6, -4, 8, -4, -5, -6, 3, -10, 12, 16, -1, -9, 4, -16], 'class_deg': 1, 'class_size': 1, 'conductor': 8640, 'isogeny_matrix': [[1]], 'lmfdb_iso': '8640.x', 'trace_hash': 30498784160356649}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.45906524116740146855387041673', 'prec': 103}, 'conductor': 8640, 'gens': [], 'heights': [], 'lmfdb_label': '8640.x1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.81637451544245097444501442513', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4491235463273529233350432753956192048', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '8640.x1'}
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ec_torsion_growth • Show schema
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id: 451336
{'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '8640.x1', 'torsion': [2]}
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id: 451337
{'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '8640.x1', 'torsion': [2, 2]}
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id: 451338
{'degree': 8, 'field': [-27, 0, 0, 0, 18, 0, 2, 0, 1], 'lmfdb_label': '8640.x1', 'torsion': [3]}
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id: 451339
{'degree': 12, 'field': [-15, 0, -162, 0, -93, 0, -36, 0, 3, 0, 6, 0, 1], 'lmfdb_label': '8640.x1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 180327
{'conductor': 8640, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '8640.x1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 180328
{'conductor': 8640, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '8640.x1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
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id: 180329
{'conductor': 8640, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '8640.x1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [1, 1, 29, 0], [1, 0, 2, 1], [7, 2, 7, 3], [11, 2, 11, 3], [29, 2, 28, 3]], 'adelic_image': '30.2.0.?', 'conductor': 8640, 'lmfdb_label': '8640.x1', 'prime': 0}
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lmfdb_iso 8640.x does not appear in ec_padic
