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ec_curvedata • Show schema
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{'Ciso': '320064e', 'Clabel': '320064e1', 'Cnumber': 1, 'abc_quality': 0.8369601570850598, 'absD': 83902857216, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 40008, 'ainvs': [0, -1, 0, -6497, 203265], 'analytic_rank': 1, 'bad_primes': [2, 3, 1667], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 320064, 'degree': 294912, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96891369646828071016189665330', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [115714886617, 320064], 'lmfdb_iso': '320064.e', 'lmfdb_label': '320064.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -101, -435], 'min_quad_twist_disc': -8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '10002.6.0.?', '40008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.5312715256044676388721041540', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.070807074371637253963951528887', 'prec': 110}, 'szpiro_ratio': 2.993863782694317, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, -2, 0, 6, 0, 4, 0], 'aplist': [0, -1, 2, 2, 0, 2, 6, 4, -2, -2, -8, 0, 6, 4, -2, 4, -4, 6, 0, 10, 14, -2, -12, -6, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 320064, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '320064.e', 'trace_hash': 467659196758024590}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.14401650139701916000385646512', 'prec': 103}, 'conductor': 320064, 'gens': [[-9045, 3008460, 17]], 'heights': [{'__RealLiteral__': 0, 'data': '9.5312715256044676388721041540', 'prec': 100}], 'lmfdb_label': '320064.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0831392125248924545991118122', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.323693934604153408572581670857067927', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[45, 0, 1]], 'xcoord_integral_points': [45]}
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lmfdb_label 320064.e1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13462748
{'degree': 2, 'field': [-1250, -1, 1], 'lmfdb_label': '320064.e1', 'torsion': [2, 2]}
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id: 13462749
{'degree': 4, 'field': [321, -34, 35, -2, 1], 'lmfdb_label': '320064.e1', 'torsion': [4]}
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id: 13462752
{'degree': 8, 'field': [-192, 0, -536, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '320064.e1', 'torsion': [6]}
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id: 13462750
{'degree': 8, 'field': [66564, 0, 3372, 0, 4525, 0, 142, 0, 1], 'lmfdb_label': '320064.e1', 'torsion': [2, 4]}
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id: 13462751
{'degree': 8, 'field': [102616900, 0, -6684188, 0, -95787, 0, -134, 0, 1], 'lmfdb_label': '320064.e1', 'torsion': [2, 4]}
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id: 13462754
{'degree': 16, 'field': [9437184, 0, 8208261120, 0, -4776071168, 0, -4630319616, 0, -1031455536, 0, 21452864, 0, -119640, 0, 0, 0, 1], 'lmfdb_label': '320064.e1', 'torsion': [2, 6]}
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id: 13462753
{'degree': 16, 'field': [9099344073, -4954575384, 5978897060, -2156728576, 1355680270, -352968248, 152215488, -31470456, 10237135, -1673144, 430056, -54568, 11218, -1008, 164, -8, 1], 'lmfdb_label': '320064.e1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 7923113
{'conductor': 320064, 'conductor_valuation': 6, 'discriminant_valuation': 24, 'j_denominator_valuation': 6, 'kodaira_symbol': -18, 'lmfdb_label': '320064.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 7923114
{'conductor': 320064, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '320064.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7923115
{'conductor': 320064, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '320064.e1', 'prime': 1667, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3670224
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [25009, 15004, 5000, 35007], [26674, 1, 26671, 0], [40005, 4, 40004, 5], [20005, 4, 2, 9], [3338, 1, 18335, 0]], 'adelic_image': '40008.12.0.?', 'conductor': 320064, 'lmfdb_label': '320064.e1', 'prime': 0}
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id: 1119311
{'conductor': 320064, 'elladic_image': '8.6.0.4', 'lmfdb_label': '320064.e1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 320064.e does not appear in ec_padic