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ec_curvedata • Show schema
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{'Ciso': '77760w', 'Clabel': '77760w1', 'Cnumber': 1, 'abc_quality': 1.2039689893561185, 'absD': 63772920000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, 972, 3402], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 77760, 'degree': 51840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.76226651749770990983137393874', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 31, 'isogeny_degrees': [1], 'jinv': [995328, 625], 'lmfdb_iso': '77760.bf', 'lmfdb_label': '77760.bf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 1, 27, -16], 'min_quad_twist_disc': -24, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 243], [3, 4, 320], [5, 6, 15552]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77447038550604824388875779532', 'prec': 107}, 'szpiro_ratio': 2.863917518157231, '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, -2, 0, -1, 0, 0, 0, 2, 0, -7, 0], 'aplist': [0, 0, -1, 0, -2, -1, 2, -7, 6, -4, 3, -2, -8, 11, -4, -2, 10, 5, 15, 10, 1, 15, -6, 12, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 77760, 'isogeny_matrix': [[1]], 'lmfdb_iso': '77760.bf', 'trace_hash': 1692174248471167476}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.21772270201356524118911548793', 'prec': 103}, 'conductor': 77760, 'gens': [], 'heights': [], 'lmfdb_label': '77760.bf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.68516278062420954831927899507', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3703255612484190966385579901315830349', 'prec': 130}, 'tamagawa_product': 2, '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], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '77760.bf1'}
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ec_torsion_growth • Show schema
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id: 3671892
{'degree': 3, 'field': [-6, 0, 0, 1], 'lmfdb_label': '77760.bf1', 'torsion': [2]}
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id: 3671893
{'degree': 6, 'field': [48, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '77760.bf1', 'torsion': [2, 2]}
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id: 3671894
{'degree': 8, 'field': [-48, 0, 56, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '77760.bf1', 'torsion': [3]}
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id: 3671895
{'degree': 12, 'field': [-27, 0, 0, 0, 27, 0, -288, 0, -9, 0, 0, 0, 1], 'lmfdb_label': '77760.bf1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1891901
{'conductor': 77760, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '77760.bf1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1891902
{'conductor': 77760, 'conductor_valuation': 5, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '77760.bf1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 1891903
{'conductor': 77760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '77760.bf1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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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': 77760, 'lmfdb_label': '77760.bf1', 'prime': 0}
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lmfdb_iso 77760.bf does not appear in ec_padic
