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ec_curvedata • Show schema
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{'Ciso': '293046l', 'Clabel': '293046l1', 'Cnumber': 1, 'abc_quality': 0.892426176947716, 'absD': 239046624866166, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 24, 'ainvs': [1, 1, 0, -29747, 2097867], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 293046, 'degree': 1354752, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5048463343136498654411092301', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [-2086979041, 171366], 'lmfdb_iso': '293046.l', 'lmfdb_label': '293046.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -176, 887], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['24.2.0.b.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.4706637796342782811168235873', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 146523], [3, 4, 97682], [13, 98, 1734], [17, 66, 1014]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24983056842648784929389026033', 'prec': 107}, 'szpiro_ratio': 3.3879490843375453, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 1, 1, -4, -1, 1, -1, -5, -1, 0, 4, -1, 1, 0, -1, 0, 1], 'aplist': [-1, -1, 1, -4, -5, 0, 0, 0, 2, -3, 1, 4, -2, 8, -6, -1, 1, 10, 2, 0, 13, -3, -4, -8, -17], 'class_deg': 1, 'class_size': 1, 'conductor': 293046, 'isogeny_matrix': [[1]], 'lmfdb_iso': '293046.l', 'trace_hash': 245787979346760423}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.049306829967859741857564013515', 'prec': 107}, 'conductor': 293046, 'gens': [[31, 1083, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.4706637796342782811168235873', 'prec': 100}], 'lmfdb_label': '293046.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.54508798033519991462403056581', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6934582594563603500198725216623793899', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [31]}
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lmfdb_label 293046.l1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 12437675
{'degree': 3, 'field': [39, -11, -1, 1], 'lmfdb_label': '293046.l1', 'torsion': [2]}
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id: 12437676
{'degree': 6, 'field': [24, -120, 142, 52, 15, -2, 1], 'lmfdb_label': '293046.l1', 'torsion': [2, 2]}
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id: 12437677
{'degree': 8, 'field': [-267836, 726736, 446392, 106728, 11808, 438, -17, -2, 1], 'lmfdb_label': '293046.l1', 'torsion': [3]}
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id: 12437678
{'degree': 12, 'field': [-328710996, -27078660, 264554956, 7989338, -89634773, 19228540, -284762, 38362, 49679, -1512, 446, -6, 1], 'lmfdb_label': '293046.l1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 7263628
{'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '293046.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7263629
{'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '293046.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 7263630
{'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '293046.l1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 7263631
{'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '293046.l1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[7, 2, 0, 1], [1, 2, 0, 1], [17, 2, 17, 3], [1, 0, 2, 1], [23, 2, 22, 3], [13, 2, 13, 3], [1, 1, 23, 0]], 'adelic_image': '24.2.0.?', 'conductor': 293046, 'lmfdb_label': '293046.l1', 'prime': 0}
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lmfdb_iso 293046.l does not appear in ec_padic