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ec_curvedata • Show schema
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{'Ciso': '2310b', 'Clabel': '2310b2', 'Cnumber': 2, 'abc_quality': 1.1359981314962933, 'absD': 1405478914998681600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 840, 'ainvs': [1, 1, 0, -280338, -3362508], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 50176, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1717826049468938850484970020', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [2436531580079063806249, 1405478914998681600], 'lmfdb_iso': '2310.b', 'lmfdb_label': '2310.b2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -280338, -3362508], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '12.12.0-2.a.1.1', '24.24.0-24.a.1.3', '140.12.0.?', '280.24.0.?', '420.24.0.?', '840.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1717826049468938850484970020', 'prec': 100}, 'szpiro_ratio': 6.358275619343226, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 6, 1, 1, 1, 2, -1, 0, -1], 'aplist': [-1, -1, -1, -1, 1, 6, 2, 0, 0, -6, -8, 10, -2, -8, 4, -6, -12, 10, 8, 4, 10, 8, 12, 6, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 2310, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '2310.b', 'trace_hash': 1247256308929736054}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.012990132997572716444176027123', 'prec': 107}, 'conductor': 2310, 'gens': [], 'heights': [], 'lmfdb_label': '2310.b2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22624507309304518937687448179', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.90498029237218075750749792714325574984', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[-524, 262, 1], [-12, 6, 1]], 'xcoord_integral_points': [-524, -12]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [5, 0]}, 'iwp0': 3, 'lmfdb_label': '2310.b2'}
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ec_torsion_growth • Show schema
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id: 117108
{'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 4]}
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id: 117109
{'degree': 4, 'field': [51, -22, 23, -2, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 4]}
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id: 117107
{'degree': 4, 'field': [64, 0, -19, 0, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 4]}
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id: 117110
{'degree': 8, 'field': [-8012, 7205, -7478, 545, -269, -7, 7, -4, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 6]}
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id: 117113
{'degree': 16, 'field': [256, 0, 512, 0, 544, 0, 704, 0, 628, 0, 176, 0, 34, 0, 8, 0, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 8]}
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id: 117111
{'degree': 16, 'field': [43046721, 0, 0, 0, -833247, 0, 0, 0, 9568, 0, 0, 0, -127, 0, 0, 0, 1], 'lmfdb_label': '2310.b2', 'torsion': [4, 4]}
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id: 117114
{'degree': 16, 'field': [131783520400, 0, 15924372800, 0, -177502640, 0, -51512160, 0, 540156, 0, 25008, 0, -596, 0, 32, 0, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 8]}
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id: 117112
{'degree': 16, 'field': [397560073936, 33479777744, -34278338104, 1601009976, -805147264, -8621612, 26422498, -19964382, 4694257, 231666, -80288, 18734, -3274, 42, 14, -8, 1], 'lmfdb_label': '2310.b2', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 38724
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '2310.b2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38725
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '2310.b2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38726
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.b2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38727
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.b2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38728
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.b2', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1678893
{'adelic_gens': [[837, 4, 836, 5], [213, 4, 422, 3], [1, 4, 0, 1], [421, 4, 2, 9], [281, 2, 0, 1], [171, 2, 166, 839], [1, 0, 4, 1], [723, 2, 358, 839]], 'adelic_image': '840.48.0.?', 'conductor': 2310, 'lmfdb_label': '2310.b2', 'prime': 0}
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id: 11304
{'conductor': 2310, 'elladic_image': '8.12.0.1', 'lmfdb_label': '2310.b2', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 2310.b does not appear in ec_padic