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ec_curvedata • Show schema
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{'Ciso': '310464d', 'Clabel': '310464d1', 'Cnumber': 1, 'abc_quality': 1.0290476370732606, 'absD': 135218827945377792, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [0, 0, 0, -14140812, -20467249040], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 310464, 'degree': 15482880, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6295472625898103750930822248', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [55635379958596, 24057], 'lmfdb_iso': '310464.d', 'lmfdb_label': '310464.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -8016, -278928], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '66.6.0.a.1', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.529932836485050641566878639', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.18308980298150513095314040600', 'prec': 103}, 'szpiro_ratio': 4.824306717164244, '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, -4, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, -4, 0, -1, 0, -6, 4, 6, 6, 0, -6, -10, 8, 6, -12, 8, 4, 12, -10, -2, 2, -12, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 310464, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '310464.d', 'trace_hash': 840670589514765173}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0052000110667304762686570120119', 'prec': 110}, 'conductor': 310464, 'gens': [[93878534, 909577002816, 13]], 'heights': [{'__RealLiteral__': 0, 'data': '15.529932836485050641566878639', 'prec': 100}], 'lmfdb_label': '310464.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.077854008619718107310397410100', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8362700996614016344522398039462143271', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-2170, 0, 1]], 'xcoord_integral_points': [-2170]}
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lmfdb_label 310464.d1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13096061
{'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '310464.d1', 'torsion': [2, 2]}
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id: 13096062
{'degree': 4, 'field': [401, -56, 8, 0, 1], 'lmfdb_label': '310464.d1', 'torsion': [4]}
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id: 13096065
{'degree': 8, 'field': [-64827, 0, -26754, 0, -882, 0, 0, 0, 1], 'lmfdb_label': '310464.d1', 'torsion': [6]}
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id: 13096064
{'degree': 8, 'field': [-348, 1560, -1572, 36, -47, 32, -6, -4, 1], 'lmfdb_label': '310464.d1', 'torsion': [2, 4]}
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id: 13096063
{'degree': 8, 'field': [4624, 0, 3912, 0, -223, 0, 24, 0, 1], 'lmfdb_label': '310464.d1', 'torsion': [2, 4]}
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id: 13096066
{'degree': 16, 'field': [179767522, -139542040, 42093964, -7423592, -5171782, 7965672, -151184, -344256, 301587, 65032, -6456, 120, 546, -56, -4, 0, 1], 'lmfdb_label': '310464.d1', 'torsion': [8]}
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id: 13096067
{'degree': 16, 'field': [113024539258, 12700134196, -11982529854, -1445096632, 744400580, -18079488, -7887320, 12609640, -4006953, 570436, -115724, 2016, -1246, 392, -36, -8, 1], 'lmfdb_label': '310464.d1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 7687627
{'conductor': 310464, 'conductor_valuation': 6, 'discriminant_valuation': 16, 'j_denominator_valuation': 0, 'kodaira_symbol': -10, 'lmfdb_label': '310464.d1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 7687628
{'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '310464.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7687629
{'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '310464.d1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 7687630
{'conductor': 310464, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '310464.d1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3613202
{'adelic_gens': [[178, 1, 175, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [26, 1, 119, 0], [261, 4, 260, 5], [169, 100, 32, 231], [133, 4, 2, 9]], 'adelic_image': '264.12.0.?', 'conductor': 310464, 'lmfdb_label': '310464.d1', 'prime': 0}
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id: 1090020
{'conductor': 310464, 'elladic_image': '8.6.0.4', 'lmfdb_label': '310464.d1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 310464.d does not appear in ec_padic