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ec_curvedata • Show schema
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{'Ciso': '463680lf', 'Clabel': '463680lf2', 'Cnumber': 2, 'abc_quality': 0.7931605637068334, 'absD': 119416666521600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 9660, 'ainvs': [0, 0, 0, 11988, 145584], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 463680, 'degree': 1474560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3901963682451543313893885726', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 291, 'isogeny_degrees': [1, 2], 'jinv': [147704148, 92575], 'lmfdb_iso': '463680.lf', 'lmfdb_label': '463680.lf2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 2997, 18198], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '84.6.0.?', '1380.6.0.?', '3220.6.0.?', '9660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0756886208231526300597227696', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.35795908900252168304668818370', 'prec': 107}, 'szpiro_ratio': 3.049646661232118, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, -4, 0, -4, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 0, 1, 1, -4, -4, -2, -4, -1, 0, -8, -10, 2, 0, -8, 12, 14, -8, 4, -8, 12, 2, -6, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 463680, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '463680.lf', 'trace_hash': 1177919889723929854}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.062014147375550854455149668491', 'prec': 107}, 'conductor': 463680, 'gens': [[4, 440, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0756886208231526300597227696', 'prec': 100}], 'lmfdb_label': '463680.lf2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36551065717420335871169681715', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9588305049379721817393750008507512632', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-12, 0, 1]], 'xcoord_integral_points': [-12, 4]}
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lmfdb_label 463680.lf2 does not appear in ec_iwasawa
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lmfdb_label 463680.lf2 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 11437060
{'conductor': 463680, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '463680.lf2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11437061
{'conductor': 463680, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '463680.lf2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 11437062
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.lf2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 11437063
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '463680.lf2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 11437064
{'conductor': 463680, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '463680.lf2', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4513487
{'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [6721, 4, 3782, 9], [3224, 1, 6439, 0], [1, 0, 4, 1], [5797, 4, 1934, 9], [3, 4, 8, 11], [9657, 4, 9656, 5], [5522, 1, 6899, 0], [2416, 7249, 7245, 2416]], 'adelic_image': '9660.12.0.?', 'conductor': 463680, 'lmfdb_label': '463680.lf2', 'prime': 0}
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id: 1544733
{'conductor': 463680, 'elladic_image': '2.3.0.1', 'lmfdb_label': '463680.lf2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 463680.lf does not appear in ec_padic