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ec_curvedata • Show schema
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{'Ciso': '129360hx', 'Clabel': '129360hx2', 'Cnumber': 2, 'abc_quality': 0.9995102945963704, 'absD': 324842016746016000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 4620, 'ainvs': [0, 1, 0, -5295005, -4691413497], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 129360, 'degree': 3919104, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4815661927822540699170573023', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 201, 'isogeny_degrees': [1, 3], 'jinv': [227040091070464, 4492125], 'lmfdb_iso': '129360.ht', 'lmfdb_label': '129360.ht1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -108061, -13708465], 'min_quad_twist_disc': 28, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '84.8.0.?', '330.8.0.?', '4620.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39787628152952944271777526846', 'prec': 103}, 'szpiro_ratio': 4.93276788680003, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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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, 1, 0, 1, 0, 0, 0, 2, 0], 'aplist': [0, 1, 1, 0, 1, 1, 0, 2, 9, -9, 8, 2, -3, 1, 9, 9, 12, 10, 4, -6, -2, 16, 12, 18, -8], 'class_deg': 3, 'class_size': 2, 'conductor': 129360, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '129360.ht', 'trace_hash': 450699293636466560}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0069909950076432581559515076044', 'prec': 110}, 'conductor': 129360, 'gens': [], 'heights': [], 'lmfdb_label': '129360.ht1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.099525294139100468382846475314', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.3743658835114252926737096669682095403', 'prec': 130}, 'tamagawa_product': 54, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [5, 1], '5': [1, 0], '7': 'a', '11': [5, 0], '13': [2, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '129360.ht1'}
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ec_torsion_growth • Show schema
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id: 5881985
{'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [3]}
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id: 5881986
{'degree': 3, 'field': [-14, -42, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [2]}
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id: 5881987
{'degree': 6, 'field': [-1485, -495, 454, 81, -38, -3, 1], 'lmfdb_label': '129360.ht1', 'torsion': [2, 2]}
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id: 5881988
{'degree': 6, 'field': [-28, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [3]}
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id: 5881989
{'degree': 6, 'field': [3024, 0, 784, 0, 56, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [6]}
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id: 5881991
{'degree': 12, 'field': [441, 0, -147, 0, -98, 0, -7, 0, 42, 0, -7, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [3, 3]}
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id: 5881992
{'degree': 12, 'field': [423801, 0, 1181733, 0, 537334, 0, 84889, 0, 5334, 0, 133, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [2, 6]}
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id: 5881990
{'degree': 12, 'field': [47121565, -23471670, -35810640, -10033310, -4501389, 454404, 321096, -996, -5385, 154, -24, -6, 1], 'lmfdb_label': '129360.ht1', 'torsion': [4]}
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id: 5881994
{'degree': 18, 'field': [-157464, 139968, 30456, 207576, 222984, -669480, 36348, 322888, -62168, -47896, -9484, 12032, 534, -856, -82, 74, 0, -6, 1], 'lmfdb_label': '129360.ht1', 'torsion': [6]}
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id: 5881993
{'degree': 18, 'field': [8240584896897669, 2552195329025760, 1445925050221572, -119878097820030, 37870320876255, 3275655459120, -815155556417, -37860960060, 3654073431, 544178140, 253629414, -5948910, -4935408, 37620, 53055, -110, -297, 0, 1], 'lmfdb_label': '129360.ht1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 3190200
{'conductor': 129360, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '129360.ht1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3190201
{'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '129360.ht1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 3190202
{'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '129360.ht1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 3190203
{'conductor': 129360, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '129360.ht1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 3190204
{'conductor': 129360, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '129360.ht1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 2506829
{'adelic_gens': [[4, 3, 9, 7], [4615, 6, 4614, 7], [1042, 2583, 2639, 1154], [2309, 0, 0, 4619], [3959, 0, 0, 4619], [4409, 1974, 357, 1301], [1, 6, 0, 1], [3, 4, 8, 11], [3233, 1974, 3759, 1301], [335, 1974, 336, 1973], [1, 0, 6, 1]], 'adelic_image': '4620.16.0.?', 'conductor': 129360, 'lmfdb_label': '129360.ht1', 'prime': 0}
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id: 503922
{'conductor': 129360, 'elladic_image': '3.4.0.1', 'lmfdb_label': '129360.ht1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 129360.ht does not appear in ec_padic