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ec_curvedata • Show schema
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{'Ciso': '1386d', 'Clabel': '1386d4', 'Cnumber': 4, 'abc_quality': 1.0145637206421085, 'absD': 18493062542262, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1848, 'ainvs': [1, -1, 0, -127197, 17491383], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 1386, 'degree': 4608, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5908628625723094663695128063', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [312196988566716625, 25367712678], 'lmfdb_iso': '1386.c', 'lmfdb_label': '1386.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -14133, -647829], 'min_quad_twist_disc': -3, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.24.0-6.a.1.4', '28.6.0.c.1', '84.48.0.?', '88.6.0.?', '264.48.0.?', '616.12.0.?', '1848.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0415567182382546206718901878', 'prec': 100}, 'szpiro_ratio': 6.479532270832285, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 1, 0, 2, -1, 0, 1, 0, 0, 2, 0], 'aplist': [-1, 0, 0, 1, 1, 2, 0, 2, 0, 6, 2, 2, 0, -4, 6, 6, 0, 2, -4, 12, -4, 8, -6, 6, 2], 'class_deg': 6, 'class_size': 4, 'conductor': 1386, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '1386.c', 'trace_hash': 243483812732160712}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.041513951598556262576934963695', 'prec': 107}, 'conductor': 1386, 'gens': [], 'heights': [], 'lmfdb_label': '1386.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.65685841950426935324420960313', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3137168390085387064884192062509630253', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[63, 3087, 1]], 'xcoord_integral_points': [63, 217]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '7': [1, 0], '11': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '1386.c1'}
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ec_torsion_growth • Show schema
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id: 69561
{'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [2, 6]}
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id: 69562
{'degree': 4, 'field': [198, 0, 27, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [12]}
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id: 69563
{'degree': 6, 'field': [48, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [3, 6]}
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id: 69565
{'degree': 8, 'field': [81796, 0, 9680, 0, 132, 0, -88, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [2, 12]}
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id: 69564
{'degree': 8, 'field': [101761, 0, 1122, 0, 26, 0, 18, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [2, 12]}
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id: 69566
{'degree': 9, 'field': [-224532, -149688, 0, -6378, 0, 2754, -231, -45, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [18]}
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id: 69567
{'degree': 12, 'field': [63792169, -47922, -119769, 319390, -119700, -48042, 16113, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '1386.c1', 'torsion': [6, 6]}
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id: 69568
{'degree': 16, 'field': [189352, 70912, -100244, 196924, 35819, -87080, 159768, -107756, 74006, -30160, 13986, -3640, 1232, -196, 52, -4, 1], 'lmfdb_label': '1386.c1', 'torsion': [24]}
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id: 69569
{'degree': 18, 'field': [-188278400464, -816969406176, 159394623696, 423024434448, 6623738352, -89284667472, -1669216380, 7140716352, -22589496, -257800620, 16966566, 2744280, -1037931, 15246, 15849, -462, -90, 0, 1], 'lmfdb_label': '1386.c1', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 21128
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '1386.c1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 21129
{'conductor': 1386, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '1386.c1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 21130
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1386.c1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 21131
{'conductor': 1386, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1386.c1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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ec_galrep • Show schema
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id: 1673262
{'adelic_gens': [[11, 2, 1798, 1839], [1585, 12, 270, 73], [10, 3, 897, 1840], [1002, 1321, 77, 386], [1, 12, 0, 1], [1, 6, 6, 37], [1, 0, 12, 1], [1837, 12, 1836, 13], [1186, 3, 309, 1840], [1231, 1836, 308, 1847]], 'adelic_image': '1848.96.1.?', 'conductor': 1386, 'lmfdb_label': '1386.c1', 'prime': 0}
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id: 6722
{'conductor': 1386, 'elladic_image': '2.3.0.1', 'lmfdb_label': '1386.c1', 'modell_image': '2B', 'prime': 2}
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id: 6723
{'conductor': 1386, 'elladic_image': '3.8.0.1', 'lmfdb_label': '1386.c1', 'modell_image': '3B.1.1', 'prime': 3}
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lmfdb_iso 1386.c does not appear in ec_padic