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ec_curvedata • Show schema
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{'Ciso': '720b', 'Clabel': '720b1', 'Cnumber': 1, 'abc_quality': 1.292030029884618, 'absD': 100776960, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, -27, -486], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 720, 'degree': 192, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.21572254142490298895576842456', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [-108, 5], 'lmfdb_iso': '720.i', 'lmfdb_label': '720.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -3, -18], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.d.1', '30.6.0.a.1', '40.6.0.e.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1858593255428003707716922710', 'prec': 103}, 'szpiro_ratio': 3.935943764867652, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 1, 0, -2, 0, 0, 0, 2, 0, 4, 0, 0, 0, 2, 0, -4, 0], 'aplist': [0, 0, 1, -2, 2, 4, 2, -4, 8, 10, -4, 0, 0, 8, 8, -6, -14, -14, 4, 12, 6, 12, 4, 12, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '720.i', 'trace_hash': 369408035721190500}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.64956973407733815784179686511', 'prec': 103}, 'conductor': 720, 'gens': [], 'heights': [], 'lmfdb_label': '720.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.82801544099919392178735173475', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6560308819983878435747034694951984849', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[9, 0, 1]], 'xcoord_integral_points': [9]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': 'a', '5': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '720.i2'}
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ec_torsion_growth • Show schema
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id: 33168
{'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '720.i2', 'torsion': [2, 2]}
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id: 33169
{'degree': 4, 'field': [-15, 0, 6, 0, 1], 'lmfdb_label': '720.i2', 'torsion': [4]}
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id: 33172
{'degree': 8, 'field': [-3, 0, 12, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '720.i2', 'torsion': [6]}
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id: 33170
{'degree': 8, 'field': [1, 0, 1, 0, 6, 0, 1, 0, 1], 'lmfdb_label': '720.i2', 'torsion': [2, 4]}
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id: 33171
{'degree': 8, 'field': [100, 0, -20, 0, 21, 0, -8, 0, 1], 'lmfdb_label': '720.i2', 'torsion': [2, 4]}
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id: 33173
{'degree': 16, 'field': [25, 0, 100, 0, -4930, 0, -3440, 0, -641, 0, 344, 0, 146, 0, 20, 0, 1], 'lmfdb_label': '720.i2', 'torsion': [8]}
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id: 33174
{'degree': 16, 'field': [324, 0, 972, 0, 1080, 0, 504, 0, 105, 0, 36, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '720.i2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8962
{'conductor': 720, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '720.i2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 8963
{'conductor': 720, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '720.i2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8964
{'conductor': 720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '720.i2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1669242
{'adelic_gens': [[1, 2, 2, 5], [49, 76, 104, 15], [117, 4, 116, 5], [3, 4, 8, 11], [44, 1, 79, 0], [61, 4, 2, 9], [74, 1, 23, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '120.12.0.?', 'conductor': 720, 'lmfdb_label': '720.i2', 'prime': 0}
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id: 3278
{'conductor': 720, 'elladic_image': '2.3.0.1', 'lmfdb_label': '720.i2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 720.i does not appear in ec_padic