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ec_curvedata • Show schema
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{'Ciso': '720b', 'Clabel': '720b2', 'Cnumber': 2, 'abc_quality': 1.0628359874003266, 'absD': 1007769600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 120, 'ainvs': [0, 0, 0, -1107, -14094], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 720, 'degree': 384, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.56229613170487564366438448529', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [3721734, 25], 'lmfdb_iso': '720.i', 'lmfdb_label': '720.i1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -123, -522], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.a.1', '40.6.0.e.1', '60.6.0.c.1', '120.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.89704800030948982518117888707', 'prec': 107}, 'szpiro_ratio': 4.961328999151685, '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': '0.32478486703866907892089843256', 'prec': 103}, 'conductor': 720, 'gens': [], 'heights': [], 'lmfdb_label': '720.i1', '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': [[-18, 0, 1]], 'xcoord_integral_points': [-18]}
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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.i1'}
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ec_torsion_growth • Show schema
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id: 33175
{'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '720.i1', 'torsion': [2, 2]}
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id: 33176
{'degree': 4, 'field': [6, 0, -3, 0, 1], 'lmfdb_label': '720.i1', 'torsion': [4]}
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id: 33179
{'degree': 8, 'field': [-3, 0, 12, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '720.i1', 'torsion': [6]}
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id: 33177
{'degree': 8, 'field': [4, -16, 14, 20, 1, -2, 5, -2, 1], 'lmfdb_label': '720.i1', 'torsion': [2, 4]}
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id: 33178
{'degree': 8, 'field': [9, 0, -108, 0, 60, 0, -12, 0, 1], 'lmfdb_label': '720.i1', 'torsion': [2, 4]}
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id: 33180
{'degree': 16, 'field': [100, 0, 250, 0, 995, 0, 175, 0, 181, 0, 14, 0, 11, 0, -1, 0, 1], 'lmfdb_label': '720.i1', 'torsion': [8]}
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id: 33181
{'degree': 16, 'field': [400, 0, -1600, 0, 2320, 0, -1984, 0, 1144, 0, -448, 0, 112, 0, -16, 0, 1], 'lmfdb_label': '720.i1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 8965
{'conductor': 720, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '720.i1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8966
{'conductor': 720, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '720.i1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 8967
{'conductor': 720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '720.i1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1669241
{'adelic_gens': [[76, 49, 105, 16], [1, 4, 0, 1], [1, 0, 4, 1], [117, 4, 116, 5], [97, 4, 74, 9], [3, 4, 8, 11], [44, 1, 79, 0], [2, 1, 59, 0], [1, 2, 2, 5]], 'adelic_image': '120.12.0.?', 'conductor': 720, 'lmfdb_label': '720.i1', 'prime': 0}
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id: 3277
{'conductor': 720, 'elladic_image': '2.3.0.1', 'lmfdb_label': '720.i1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 720.i does not appear in ec_padic