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ec_curvedata • Show schema
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{'Ciso': '35280ek', 'Clabel': '35280ek1', 'Cnumber': 1, 'abc_quality': 0.8871538351825968, 'absD': 12295431106560, 'adelic_genus': 3, 'adelic_index': 144, 'adelic_level': 1260, 'ainvs': [0, 0, 0, -9408, -389648], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 35280, 'degree': 69120, 'elladic_images': ['9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2442582343845518505799537764', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 17, 'isogeny_degrees': [1, 3, 9], 'jinv': [-262144, 35], 'lmfdb_iso': '35280.r', 'lmfdb_label': '35280.r2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1, 0], 'min_quad_twist_disc': -84, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '60.8.0-3.a.1.3', '63.36.0.e.1', '70.2.0.a.1', '84.8.0.?', '180.24.0.?', '210.8.0.?', '252.72.0.?', '420.16.0.?', '630.72.3.?', '1260.144.3.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, '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': '-0.97115016503710495708757733524', 'prec': 107}, 'szpiro_ratio': 3.750250735327986, '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, -3, 0, -5, 0, 0, 0, 3, 0, 2, 0], 'aplist': [0, 0, -1, 0, -3, -5, 3, 2, -6, -3, -4, 2, -12, 10, -9, -12, 0, -8, 4, 0, -2, 1, -12, -12, 1], 'class_deg': 9, 'class_size': 3, 'conductor': 35280, 'isogeny_matrix': [[1, 9, 3], [9, 1, 3], [3, 3, 1]], 'lmfdb_iso': '35280.r', 'trace_hash': 131135344111180673}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.083033057381892003256103659304', 'prec': 107}, 'conductor': 35280, 'gens': [], 'heights': [], 'lmfdb_label': '35280.r2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24059005490393317153454844136', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.48118010980786634306909688272457156608', 'prec': 133}, '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': 'a', '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': '35280.r2'}
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ec_torsion_growth • Show schema
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id: 1750949
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [3]}
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id: 1750950
{'degree': 3, 'field': [-2, 2, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [2]}
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id: 1750952
{'degree': 6, 'field': [-112, 0, 252, 0, 21, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [3]}
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id: 1750951
{'degree': 6, 'field': [1, -3, 8, -11, 8, -3, 1], 'lmfdb_label': '35280.r2', 'torsion': [2, 2]}
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id: 1750954
{'degree': 6, 'field': [70, -84, 46, -10, 4, -2, 1], 'lmfdb_label': '35280.r2', 'torsion': [6]}
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id: 1750953
{'degree': 6, 'field': [189, 0, 126, 0, 21, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [9]}
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id: 1750955
{'degree': 12, 'field': [-2891, -5978, -6216, -770, -1785, 2352, -44, 772, -25, 50, -4, -2, 1], 'lmfdb_label': '35280.r2', 'torsion': [4]}
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id: 1750958
{'degree': 12, 'field': [1225, 0, 1925, 1750, 204, 732, 245, 72, 124, -30, 21, -4, 1], 'lmfdb_label': '35280.r2', 'torsion': [2, 6]}
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id: 1750957
{'degree': 12, 'field': [2401, 0, 5488, 0, 5096, 0, 462, 0, -84, 0, -7, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [9]}
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id: 1750956
{'degree': 12, 'field': [7056, 0, -11172, 0, 17101, 0, -763, 0, -84, 0, -7, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [3, 3]}
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id: 1750959
{'degree': 18, 'field': [-56854, 16016, 75250, 19614, -43134, 35700, -30463, -14560, 39575, -17458, 1864, -2072, 1135, 56, 88, -56, -5, 0, 1], 'lmfdb_label': '35280.r2', 'torsion': [6]}
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id: 1750960
{'degree': 18, 'field': [499801, -439112, 327006, -452342, 272677, -167060, 139241, -74668, 35947, -17342, 9892, -3106, 1082, -482, 215, -44, 11, -4, 1], 'lmfdb_label': '35280.r2', 'torsion': [18]}
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ec_localdata • Show schema
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id: 829802
{'conductor': 35280, 'conductor_valuation': 4, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '35280.r2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 829803
{'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '35280.r2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 829804
{'conductor': 35280, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '35280.r2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 829805
{'conductor': 35280, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '35280.r2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1899988
{'adelic_gens': [[1, 18, 0, 1], [1, 18, 10, 181], [10, 9, 81, 73], [1243, 18, 1242, 19], [647, 1242, 648, 1241], [1250, 1251, 1143, 638], [716, 1251, 909, 650], [1, 0, 18, 1], [11, 18, 468, 505], [629, 0, 0, 1259]], 'adelic_image': '1260.144.3.?', 'conductor': 35280, 'lmfdb_label': '35280.r2', 'prime': 0}
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id: 156864
{'conductor': 35280, 'elladic_image': '9.12.0.1', 'lmfdb_label': '35280.r2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 35280.r does not appear in ec_padic