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ec_curvedata • Show schema
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{'Ciso': '44a', 'Clabel': '44a2', 'Cnumber': 2, 'abc_quality': 0.9950617979294879, 'absD': 340736, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 66, 'ainvs': [0, 1, 0, -77, -289], 'analytic_rank': 0, 'bad_primes': [2, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 44, 'degree': 6, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.10298768145811296210585672847', 'prec': 107}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 0, 'isogeny_degrees': [1, 3], 'jinv': [-199794688, 1331], 'lmfdb_iso': '44.a', 'lmfdb_label': '44.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -77, -289], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '22.2.0.a.1', '66.16.0-66.a.1.1'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 2, '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': '-0.56508580183140983505067814278', 'prec': 107}, 'szpiro_ratio': 6.519077152749634, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, -3, 0, 2, 0, -2, 0, -1, 0, -4, 0, -3, 0, 6, 0, 8, 0], 'aplist': [0, 1, -3, 2, -1, -4, 6, 8, -3, 0, 5, -1, 0, -10, 0, -6, 3, -4, -1, 15, -4, 2, 6, -9, -7], 'class_deg': 3, 'class_size': 2, 'conductor': 44, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '44.a', 'trace_hash': 685433102328794143}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.2287229314726023785377913442', 'prec': 100}, 'conductor': 44, 'gens': [], 'heights': [], 'lmfdb_label': '44.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.80464628757465185995669379233', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.80464628757465185995669379232551592659', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 1], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '44.a1'}
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ec_torsion_growth • Show schema
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id: 1354
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '44.a1', 'torsion': [3]}
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id: 1356
{'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '44.a1', 'torsion': [3]}
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id: 1355
{'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '44.a1', 'torsion': [2]}
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id: 1358
{'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '44.a1', 'torsion': [3, 3]}
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id: 1357
{'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '44.a1', 'torsion': [2, 2]}
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id: 1359
{'degree': 6, 'field': [1, 1, 2, -3, 0, -1, 1], 'lmfdb_label': '44.a1', 'torsion': [6]}
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id: 1360
{'degree': 9, 'field': [1, 0, 0, 1, 0, 0, -1, 0, 0, 1], 'lmfdb_label': '44.a1', 'torsion': [6]}
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id: 1361
{'degree': 12, 'field': [-2, 4, 4, -12, 0, 4, 12, -4, -14, 6, 4, -4, 1], 'lmfdb_label': '44.a1', 'torsion': [4]}
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id: 1362
{'degree': 12, 'field': [1, -1, -1, 4, -1, -3, 6, -3, -1, 4, -1, -1, 1], 'lmfdb_label': '44.a1', 'torsion': [2, 6]}
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id: 1364
{'degree': 18, 'field': [1, -6, 18, -32, 24, 0, 59, -270, 546, -744, 786, -666, 447, -228, 96, -40, 18, -6, 1], 'lmfdb_label': '44.a1', 'torsion': [3, 6]}
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id: 1365
{'degree': 18, 'field': [1, 0, 0, 4, 0, 0, 15, 0, 0, -24, 0, 0, 7, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '44.a1', 'torsion': [2, 6]}
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id: 1363
{'degree': 18, 'field': [2197, 0, 0, 2059, 0, 0, 872, 0, 0, -89, 0, 0, -4, 0, 0, -5, 0, 0, 1], 'lmfdb_label': '44.a1', 'torsion': [9]}
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ec_localdata • Show schema
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id: 193
{'conductor': 44, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '44.a1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 194
{'conductor': 44, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '44.a1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1665976
{'adelic_gens': [[4, 3, 9, 7], [61, 6, 60, 7], [1, 6, 0, 1], [1, 0, 6, 1], [13, 6, 39, 19], [3, 4, 8, 11], [14, 57, 43, 7]], 'adelic_image': '66.16.0.?', 'conductor': 44, 'lmfdb_label': '44.a1', 'prime': 0}
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id: 114
{'conductor': 44, 'elladic_image': '3.8.0.2', 'lmfdb_label': '44.a1', 'modell_image': '3B.1.2', 'prime': 3}
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lmfdb_iso 44.a does not appear in ec_padic