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ec_curvedata • Show schema
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{'abc_quality': 0.6131471927654584, 'absD': 156132458496, 'adelic_genus': 0, 'adelic_index': 4, 'adelic_level': 28, 'ainvs': [0, 0, 0, 1176, -10976], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 508032, 'degree': 552960, 'elladic_images': ['4.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83535903906600544490642421845', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1], 'jinv': [1152, 1], 'lmfdb_iso': '508032.s', 'lmfdb_label': '508032.s1', 'lmfdb_number': 1, 'min_quad_twist_ainvs': [0, 0, 0, 6, 4], 'min_quad_twist_disc': -56, 'modell_images': [], 'modm_images': ['4.2.0.a.1', '28.4.0-4.a.1.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 2, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.8731435317646949019180722774', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3124718423376239657647713739', 'prec': 103}, 'szpiro_ratio': 2.498285632529095, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -3, 0, 0, 0, 0, 0, 4, 0, -3, 0, 0, 0, -3, 0, -6, 0], 'aplist': [0, 0, -3, 0, 4, -3, -3, -6, 4, 7, -2, 7, 10, 8, 6, 6, 8, -7, -2, -10, -11, -12, 6, -7, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 508032, 'isogeny_matrix': [[1]], 'lmfdb_iso': '508032.s', 'trace_hash': 498388510885504091}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18811193805938264391211856635', 'prec': 103}, 'conductor': 508032, 'gens': [[105, 1127, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.8731435317646949019180722774', 'prec': 100}], 'lmfdb_label': '508032.s1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.56457739375643128817930912431', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4884475482074392000884554969049491661', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [105]}
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lmfdb_label 508032.s1 does not appear in ec_iwasawa
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lmfdb_label 508032.s1 does not appear in ec_torsion_growth
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ec_localdata • Show schema
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id: 12323667
{'conductor': 508032, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '508032.s1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 12323668
{'conductor': 508032, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '508032.s1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 12323669
{'conductor': 508032, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '508032.s1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4724855
{'adelic_gens': [[15, 7, 0, 1], [25, 4, 24, 5], [1, 4, 0, 1], [11, 0, 0, 27], [1, 0, 4, 1], [2, 3, 23, 21], [1, 2, 2, 5], [13, 0, 0, 13]], 'adelic_image': '28.4.0.?', 'conductor': 508032, 'lmfdb_label': '508032.s1', 'prime': 0}
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id: 1649723
{'conductor': 508032, 'elladic_image': '4.2.0.1', 'lmfdb_label': '508032.s1', 'modell_image': '2G', 'prime': 2}
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lmfdb_iso 508032.s does not appear in ec_padic