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ec_curvedata • Show schema
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{'Ciso': '406560cc', 'Clabel': '406560cc2', 'Cnumber': 2, 'abc_quality': 0.9370477448335434, 'absD': 35714669760000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3080, 'ainvs': [0, -1, 0, -82320, 9113832], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 406560, 'degree': 1310720, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5461375163439811458054070553', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 2, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2, 4], 'jinv': [68017239368, 39375], 'lmfdb_iso': '406560.cc', 'lmfdb_label': '406560.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -680, -6600], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.ba.1', '44.12.0-4.c.1.1', '56.12.0.s.1', '280.24.0.?', '440.24.0.?', '616.24.0.?', '3080.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 2, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4898193747953813382619327030', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.17267050547516310828848882478', 'prec': 107}, 'szpiro_ratio': 3.5282234423437253, '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, 1, 0, -1, 0, 1, 0, 0, 0, 2, 0, -1, 0, 2, 0, 0, 0], 'aplist': [0, -1, 1, -1, 0, 2, 2, 0, 0, -6, 8, 2, 6, -4, 0, -6, 8, 2, 4, -4, 10, -12, -4, -6, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 406560, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '406560.cc', 'trace_hash': 656735516177197449}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.045398553635647814435689204096', 'prec': 107}, 'conductor': 406560, 'gens': [[-51, 3630, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4898193747953813382619327030', 'prec': 100}], 'lmfdb_label': '406560.cc1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.64426441332068433134229692383', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.6787008436506806642682738285846010790', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[169, 0, 1]], 'xcoord_integral_points': [-51, 169]}
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lmfdb_label 406560.cc1 does not appear in ec_iwasawa
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lmfdb_label 406560.cc1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 10051755
{'conductor': 406560, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '406560.cc1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 10051756
{'conductor': 406560, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '406560.cc1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 10051757
{'conductor': 406560, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '406560.cc1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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id: 10051758
{'conductor': 406560, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '406560.cc1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 10051759
{'conductor': 406560, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '406560.cc1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 4182533
{'adelic_gens': [[617, 1408, 1628, 2553], [1, 0, 8, 1], [1, 8, 0, 1], [559, 0, 0, 3079], [1, 4, 4, 17], [2696, 2563, 1089, 1398], [384, 517, 1925, 1924], [3073, 8, 3072, 9], [7, 6, 3074, 3075], [3048, 1683, 1485, 562]], 'adelic_image': '3080.48.0.?', 'conductor': 406560, 'lmfdb_label': '406560.cc1', 'prime': 0}
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id: 1378457
{'conductor': 406560, 'elladic_image': '4.6.0.1', 'lmfdb_label': '406560.cc1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 406560.cc does not appear in ec_padic