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ec_curvedata • Show schema
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{'Ciso': '277440m', 'Clabel': '277440m1', 'Cnumber': 1, 'abc_quality': 0.9187195658691268, 'absD': 44436266894308147200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, -1, 0, -2469601, -1527004799], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 277440, 'degree': 14100480, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5522062795725708563282925623', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [-910904761, 24300], 'lmfdb_iso': '277440.m', 'lmfdb_label': '277440.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -134, 596], 'min_quad_twist_disc': -136, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '7.4911245873918536878504220181', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 867], [3, 4, 92480], [5, 6, 18496], [17, 114, 960]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37632338730482449463057869847', 'prec': 107}, 'szpiro_ratio': 4.4535042136180785, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, -3, 0, 1, 0, 6, 0, 7, 0, 1, 0, 0, 0, -5, 0], 'aplist': [0, -1, -1, -3, 6, 7, 0, -5, -8, 0, 5, -3, -10, -5, 12, -2, -6, -5, -7, -8, 6, 8, -14, -4, -13], 'class_deg': 1, 'class_size': 1, 'conductor': 277440, 'isogeny_matrix': [[1]], 'lmfdb_iso': '277440.m', 'trace_hash': 687100790483384686}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0060699035773929717480908635341', 'prec': 110}, 'conductor': 277440, 'gens': [[3096, 143155, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '7.4911245873918536878504220181', 'prec': 100}], 'lmfdb_label': '277440.m1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.060121410476298928065900787423', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.4045237149721729265214457272730307423', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [3096]}
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lmfdb_label 277440.m1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 11824592
{'degree': 3, 'field': [-12, 6, -1, 1], 'lmfdb_label': '277440.m1', 'torsion': [2]}
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id: 11824593
{'degree': 6, 'field': [12, 0, -11, 0, 1, 0, 1], 'lmfdb_label': '277440.m1', 'torsion': [2, 2]}
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id: 11824594
{'degree': 8, 'field': [-3888, 0, -2016, 0, 216, 0, 0, 0, 1], 'lmfdb_label': '277440.m1', 'torsion': [3]}
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id: 11824595
{'degree': 12, 'field': [-4800, 0, -4402, 0, 1893, 0, 400, 0, -25, 0, -36, 0, 1], 'lmfdb_label': '277440.m1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 6872462
{'conductor': 277440, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '277440.m1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6872463
{'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '277440.m1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6872464
{'conductor': 277440, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '277440.m1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6872465
{'conductor': 277440, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '277440.m1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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{'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 277440, 'lmfdb_label': '277440.m1', 'prime': 0}
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lmfdb_iso 277440.m does not appear in ec_padic
