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ec_curvedata • Show schema
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{'Ciso': '7740a', 'Clabel': '7740a1', 'Cnumber': 1, 'abc_quality': 0.9324355060181176, 'absD': 1128492000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 86, 'ainvs': [0, 0, 0, 2472, 19348], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 7740, 'degree': 9216, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0013476439447007574412363632', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [8951619584, 6046875], 'lmfdb_iso': '7740.b', 'lmfdb_label': '7740.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 275, -625], 'min_quad_twist_disc': -3, 'modell_images': [], 'modm_images': ['86.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.010056620762650961201207669567', 'prec': 110}, 'szpiro_ratio': 3.9146009634706664, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 5, 0, -3, 0, 0, 0, 3, 0, 4, 0], 'aplist': [0, 0, -1, 0, 5, -3, 3, 4, 7, 8, -3, 0, -3, 1, 0, 9, -8, 0, -11, -8, -4, -8, -9, 4, 13], 'class_deg': 1, 'class_size': 1, 'conductor': 7740, 'isogeny_matrix': [[1]], 'lmfdb_iso': '7740.b', 'trace_hash': 209099895876494870}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.13497100682212664457186667504', 'prec': 103}, 'conductor': 7740, 'gens': [], 'heights': [], 'lmfdb_label': '7740.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.54708529079297011557131661891', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1883411631718804622852664756489781944', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0, 0], '41': [0, 0], '43': [1, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '7740.b1'}
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ec_torsion_growth • Show schema
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id: 404723
{'degree': 3, 'field': [3, -1, -1, 1], 'lmfdb_label': '7740.b1', 'torsion': [2]}
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id: 404724
{'degree': 6, 'field': [1, -3, 10, -15, 10, -3, 1], 'lmfdb_label': '7740.b1', 'torsion': [2, 2]}
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id: 404725
{'degree': 8, 'field': [72, 184, -104, 90, -8, -2, 9, -2, 1], 'lmfdb_label': '7740.b1', 'torsion': [3]}
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id: 404726
{'degree': 12, 'field': [-4418, -94488, 147864, -104252, 39488, -12404, 3224, -128, -6, -30, 8, -4, 1], 'lmfdb_label': '7740.b1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 159716
{'conductor': 7740, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '7740.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 159717
{'conductor': 7740, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '7740.b1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 159718
{'conductor': 7740, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '7740.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 159719
{'conductor': 7740, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7740.b1', 'prime': 43, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1], [1, 1, 85, 0], [85, 2, 84, 3]], 'adelic_image': '86.2.0.?', 'conductor': 7740, 'lmfdb_label': '7740.b1', 'prime': 0}
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lmfdb_iso 7740.b does not appear in ec_padic