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ec_curvedata • Show schema
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{'Ciso': '381480f', 'Clabel': '381480f1', 'Cnumber': 1, 'abc_quality': 1.0092625729653557, 'absD': 1335223512562500000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 2244, 'ainvs': [0, -1, 0, -24286636, -46026326060], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 381480, 'degree': 25804800, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9811454721714823483404081824', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [1259618678332845138128, 1061615478515625], 'lmfdb_iso': '381480.f', 'lmfdb_label': '381480.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24286636, -46026326060], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '68.6.0.b.1', '132.6.0.?', '1122.6.0.?', '2244.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '47.337400452824779278451799730', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 561], [3, 4, 25432], [5, 6, 6936], [11, 12, 34680], [17, 82, 1320]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8107440157841314553332031136', 'prec': 100}, 'szpiro_ratio': 4.873235397930105, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, -1, 0, 0, 0, 1, 0, -1, 0, -2, 0, 1, 0, 0, 0, 2, 0], 'aplist': [0, -1, -1, 0, -1, -2, 0, 2, 8, 4, -8, 8, -8, 10, -6, 6, 6, 14, 12, 0, 6, 8, 0, -2, 12], 'class_deg': 2, 'class_size': 2, 'conductor': 381480, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '381480.f', 'trace_hash': 1629996135019018844}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0025740083023609106390127062418', 'prec': 110}, 'conductor': 381480, 'gens': [[-8130406509980653703886, 25025201319354346648267873567984, 1699448077]], 'heights': [{'__RealLiteral__': 0, 'data': '47.337400452824779278451799730', 'prec': 100}], 'lmfdb_label': '381480.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.068011082216526536986665650134', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4389356682274131702797081000972976546', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-2782, 0, 1]], 'xcoord_integral_points': [-2782]}
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lmfdb_label 381480.f1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 15794713
{'degree': 2, 'field': [-140, -1, 1], 'lmfdb_label': '381480.f1', 'torsion': [2, 2]}
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id: 15794714
{'degree': 4, 'field': [442, -102, -17, 0, 1], 'lmfdb_label': '381480.f1', 'torsion': [4]}
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id: 15794717
{'degree': 8, 'field': [-999, -5814, 17524, -5610, 2052, -204, 24, 0, 1], 'lmfdb_label': '381480.f1', 'torsion': [6]}
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id: 15794716
{'degree': 8, 'field': [2500, 0, 2333, 0, 363, 0, -13, 0, 1], 'lmfdb_label': '381480.f1', 'torsion': [2, 4]}
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id: 15794715
{'degree': 8, 'field': [4492, 4706, -4949, 476, -212, -34, 16, -4, 1], 'lmfdb_label': '381480.f1', 'torsion': [2, 4]}
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id: 15794719
{'degree': 16, 'field': [5950968775, -2168306180, 15394070262, 12542412464, 2444492762, 237116436, -12452706, -9323400, 6935136, 88444, 32122, 13464, -4254, 660, 42, -8, 1], 'lmfdb_label': '381480.f1', 'torsion': [2, 6]}
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id: 15794718
{'degree': 16, 'field': [32098369476, -28403052144, 7913055016, 1718056256, -1927199794, 504049188, 17036436, -40037390, 9300673, -1070800, 199904, -50732, 3500, 828, -108, -6, 1], 'lmfdb_label': '381480.f1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 9436973
{'conductor': 381480, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '381480.f1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 9436974
{'conductor': 381480, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '381480.f1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9436975
{'conductor': 381480, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '381480.f1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 9436976
{'conductor': 381480, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '381480.f1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 9436977
{'conductor': 381480, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '381480.f1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 4035232
{'adelic_gens': [[1498, 1, 1495, 0], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [1984, 1, 1187, 0], [818, 1, 1835, 0], [565, 1684, 560, 1683], [2241, 4, 2240, 5]], 'adelic_image': '2244.12.0.?', 'conductor': 381480, 'lmfdb_label': '381480.f1', 'prime': 0}
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id: 1304854
{'conductor': 381480, 'elladic_image': '2.3.0.1', 'lmfdb_label': '381480.f1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 381480.f does not appear in ec_padic
