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ec_curvedata • Show schema
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{'Ciso': '78650j', 'Clabel': '78650j1', 'Cnumber': 1, 'abc_quality': 0.8703475134803965, 'absD': 263466551920000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 0, 1, -416001, -106219852], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 78650, 'degree': 1382400, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1173908270436961036556731583', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2], 'jinv': [-287626699801, 9518080], 'lmfdb_iso': '78650.g', 'lmfdb_label': '78650.g2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -137, 581], 'min_quad_twist_disc': -55, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '110.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11372423442746064432432170270', 'prec': 103}, 'szpiro_ratio': 4.478452732520767, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -2, 1, 0, 2, 4, -1, 1, 0, 0, -2, -1, -4, 0, 1, 2, -1, 0, 0], 'aplist': [-1, -2, 0, 4, 0, -1, 2, 0, 0, -8, 8, 2, 0, 4, 6, 8, 4, 8, -8, -8, 10, 4, 4, -10, -8], 'class_deg': 2, 'class_size': 2, 'conductor': 78650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '78650.g', 'trace_hash': 2270177931427421775}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.014482972150318854618636452411', 'prec': 107}, 'conductor': 78650, 'gens': [], 'heights': [], 'lmfdb_label': '78650.g2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.093810469595680691703710807649', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5009675135308910672593729223873392819', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[747, -374, 1]], 'xcoord_integral_points': [747]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '5': 'a', '11': 'a', '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '78650.g2'}
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ec_torsion_growth • Show schema
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id: 3712253
{'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '78650.g2', 'torsion': [2, 2]}
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id: 3712254
{'degree': 4, 'field': [25, -10, -15, -2, 1], 'lmfdb_label': '78650.g2', 'torsion': [4]}
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id: 3712257
{'degree': 8, 'field': [246, -1131, 1152, -43, 25, -7, 7, -4, 1], 'lmfdb_label': '78650.g2', 'torsion': [6]}
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id: 3712256
{'degree': 8, 'field': [6809, 8272, 6110, 2652, 1099, 20, -54, -4, 1], 'lmfdb_label': '78650.g2', 'torsion': [2, 4]}
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id: 3712255
{'degree': 8, 'field': [18496, 0, -2716, 0, -119, 0, 14, 0, 1], 'lmfdb_label': '78650.g2', 'torsion': [2, 4]}
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id: 3712259
{'degree': 16, 'field': [1349280, -15977205, 61626330, -57258285, 25574835, -5516235, -118801, 198086, -155945, 59505, -3188, 2659, 413, -105, 35, -4, 1], 'lmfdb_label': '78650.g2', 'torsion': [2, 6]}
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id: 3712258
{'degree': 16, 'field': [359952784, 847968576, -1243650512, -664526304, 2168115356, -1543968816, 412431396, 25345632, -39594407, 7263048, 234936, -197184, 17274, -1560, 260, 0, 1], 'lmfdb_label': '78650.g2', 'torsion': [8]}
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ec_localdata • Show schema
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id: 1914498
{'conductor': 78650, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '78650.g2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1914499
{'conductor': 78650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '78650.g2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 1914500
{'conductor': 78650, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '78650.g2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 1914501
{'conductor': 78650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '78650.g2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2183463
{'adelic_gens': [[1, 0, 4, 1], [5717, 4, 5716, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2641, 4, 5282, 9], [2861, 4, 2, 9], [4162, 1, 3639, 0], [3434, 1, 1143, 0], [3577, 2146, 2144, 3575]], 'adelic_image': '5720.12.0.?', 'conductor': 78650, 'lmfdb_label': '78650.g2', 'prime': 0}
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id: 324327
{'conductor': 78650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '78650.g2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 78650.g does not appear in ec_padic