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ec_curvedata • Show schema
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{'Ciso': '25688l', 'Clabel': '25688l1', 'Cnumber': 1, 'abc_quality': 0.9760470621014516, 'absD': 3223767809392, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 494, 'ainvs': [0, 1, 0, -27096, 1709917], 'analytic_rank': 0, 'bad_primes': [2, 13, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 25688, 'degree': 127296, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3018219372158991983091475649', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-12967168, 19], 'lmfdb_iso': '25688.e', 'lmfdb_label': '25688.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -160, 729], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['494.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 247], [13, 62, 152], [19, 20, 1352]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.85293914106690179020337872343', 'prec': 107}, 'szpiro_ratio': 4.159790347423196, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, 4, 0, 4, 0, 1, 0, 2, 0, 0, 0, -8, 0, -7, 0, 1, 0], 'aplist': [0, -2, 4, 4, 2, 0, -7, 1, 5, 6, -5, 11, 3, 1, -2, 12, 1, 3, 7, 16, -16, -8, 14, 6, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 25688, 'isogeny_matrix': [[1]], 'lmfdb_iso': '25688.e', 'trace_hash': 1067667559738977920}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.074003427118973132762020975519', 'prec': 107}, 'conductor': 25688, 'gens': [], 'heights': [], 'lmfdb_label': '25688.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.79556935523204842301382947931', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1822774209281936920553179172212036741', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [4, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [1, 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': '25688.e1'}
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ec_torsion_growth • Show schema
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id: 1295326
{'degree': 3, 'field': [-3, 1, 0, 1], 'lmfdb_label': '25688.e1', 'torsion': [2]}
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id: 1295327
{'degree': 6, 'field': [9, 21, 80, 1, -6, -2, 1], 'lmfdb_label': '25688.e1', 'torsion': [2, 2]}
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id: 1295328
{'degree': 8, 'field': [-223587, 0, 12168, 0, -1638, 0, 0, 0, 1], 'lmfdb_label': '25688.e1', 'torsion': [3]}
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id: 1295329
{'degree': 12, 'field': [2009419, -4650838, 4418906, -2111750, 532279, -77658, 13798, -4040, 552, 56, -8, -6, 1], 'lmfdb_label': '25688.e1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 592326
{'conductor': 25688, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '25688.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 592327
{'conductor': 25688, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '25688.e1', 'prime': 13, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 592328
{'conductor': 25688, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25688.e1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 1, 493, 0], [287, 2, 287, 3], [457, 2, 457, 3], [1, 0, 2, 1], [1, 2, 0, 1], [493, 2, 492, 3]], 'adelic_image': '494.2.0.?', 'conductor': 25688, 'lmfdb_label': '25688.e1', 'prime': 0}
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lmfdb_iso 25688.e does not appear in ec_padic
