-
ec_curvedata • Show schema
Hide schema
{'Ciso': '377520dy', 'Clabel': '377520dy4', 'Cnumber': 4, 'abc_quality': 0.9937812748699064, 'absD': 296727120103288446428313600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3432, 'ainvs': [0, 1, 0, -211369616, 843820298484], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 377520, 'degree': 165150720, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7862937703109815045008313510', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2, 4], 'jinv': [287849398425814280018, 81784533026485575], 'lmfdb_iso': '377520.dy', 'lmfdb_label': '377520.dy2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1746856, 634609900], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '264.24.0.?', '312.24.0.?', '572.12.0.?', '1144.24.0.?', '3432.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.74799834049456666612945269031', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9519612183985130321707301173', 'prec': 100}, 'szpiro_ratio': 5.382674294754882, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
-
ec_classdata • Show schema
Hide schema
{'anlist': [0, 1, 0, 1, 0, -1, 0, -4, 0, 1, 0, 0, 0, -1, 0, -1, 0, 2, 0, 4, 0], 'aplist': [0, 1, -1, -4, 0, -1, 2, 4, 4, -6, 0, 10, 10, 4, 0, 10, 12, 2, -8, 8, 2, -16, -12, -10, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 377520, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '377520.dy', 'trace_hash': 1774342894952822593}
-
ec_mwbsd • Show schema
Hide schema
{'area': {'__RealLiteral__': 0, 'data': '0.00051435979834009542199667473265', 'prec': 113}, 'conductor': 377520, 'gens': [[3454, 393660, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.74799834049456666612945269031', 'prec': 103}], 'lmfdb_label': '377520.dy2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.050864126098739793226663538513', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.5223671484142783638433844459140569620', 'prec': 130}, 'tamagawa_product': 896, 'torsion_generators': [[-16229, 0, 1]], 'xcoord_integral_points': [-16229, -6428, -5066, 3454, 13174, 42820]}
-
lmfdb_label 377520.dy2 does not appear in ec_iwasawa
-
ec_torsion_growth • Show schema
Hide schema
-
id: 15645269
{'degree': 2, 'field': [-286, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [2, 2]}
-
id: 15645271
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [4]}
-
id: 15645270
{'degree': 2, 'field': [36, -1, 1], 'lmfdb_label': '377520.dy2', 'torsion': [4]}
-
id: 15645272
{'degree': 4, 'field': [1158, -76, 77, -2, 1], 'lmfdb_label': '377520.dy2', 'torsion': [2, 4]}
-
id: 15645276
{'degree': 8, 'field': [-1263603, 0, -135784, 0, -3894, 0, 0, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [6]}
-
id: 15645274
{'degree': 8, 'field': [12288, -11520, 6592, 528, 156, 22, 36, -3, 1], 'lmfdb_label': '377520.dy2', 'torsion': [8]}
-
id: 15645275
{'degree': 8, 'field': [3693600625, 0, 29100500, 0, 59400, 0, -220, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [8]}
-
id: 15645273
{'degree': 8, 'field': [748477601316, 0, -20763632, 0, -1730276, 0, -8, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [2, 4]}
-
id: 15645279
{'degree': 16, 'field': [112969728, -117697536, 91569024, -12189312, 16857312, -11573568, 2074768, -701472, 451936, -79904, 6064, -2936, 118, 268, -35, -6, 1], 'lmfdb_label': '377520.dy2', 'torsion': [2, 8]}
-
id: 15645282
{'degree': 16, 'field': [7692167025, 0, -2844787068, 0, 424043100, 0, -29051716, 0, 577382, 0, 35900, 0, -1940, 0, 4, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [12]}
-
id: 15645281
{'degree': 16, 'field': [1526628282624, 0, 375963019008, 0, 51259713184, 0, -1292741376, 0, 12390429, 0, -364808, 0, 7674, 0, 0, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [12]}
-
id: 15645280
{'degree': 16, 'field': [1112309545203025, 0, -1025131390314044, 0, 12662770142620, 0, 131431504828, 0, -1103293178, 0, -21403460, 0, 152620, 0, -572, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [2, 6]}
-
id: 15645278
{'degree': 16, 'field': [6020402076562500, 0, -691293116250000, 0, 828839904062500, 0, 13365169950000, 0, 53044963125, 0, -22929500, 0, -16500, 0, 660, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [2, 8]}
-
id: 15645277
{'degree': 16, 'field': [274355826416100000000, 0, -6096796142580000000, 0, 67742179362000000, 0, -425033487450000, 0, 1614052350625, 0, -3302513500, 0, 4089800, 0, -2860, 0, 1], 'lmfdb_label': '377520.dy2', 'torsion': [4, 4]}
-
ec_localdata • Show schema
Hide schema
-
id: 9340966
{'conductor': 377520, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '377520.dy2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
-
id: 9340967
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '377520.dy2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 28}
-
id: 9340968
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '377520.dy2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
-
id: 9340969
{'conductor': 377520, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '377520.dy2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
-
id: 9340970
{'conductor': 377520, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '377520.dy2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
-
ec_galrep • Show schema
Hide schema
-
id: 4011872
{'adelic_gens': [[1145, 8, 1148, 33], [3425, 8, 3424, 9], [1, 0, 8, 1], [1288, 3011, 433, 462], [7, 6, 3426, 3427], [3000, 1279, 2975, 2928], [2800, 3429, 2179, 3430], [268, 1, 2399, 6], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '3432.48.0.?', 'conductor': 377520, 'lmfdb_label': '377520.dy2', 'prime': 0}
-
id: 1292774
{'conductor': 377520, 'elladic_image': '8.12.0.7', 'lmfdb_label': '377520.dy2', 'modell_image': '2B', 'prime': 2}
-
lmfdb_iso 377520.dy does not appear in ec_padic