{"Clabel": "6270l7", "lmfdb_label": "6270.l1", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -21424283, 37908785126], "jinv": [1087533321226184807035053481, 8484255812957933638080], "min_quad_twist_ainvs": [1, 0, 1, -21424283, 37908785126], "iso_nlabel": 11, "Cnumber": 7, "lmfdb_number": 1, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 6, "faltings_ratio": 12, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 0, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 774144, "semistable": true, "potential_good_reduction": false, "absD": 8484255812957933638080, "faltings_height": {"__RealLiteral__": 0, "data": "3.0362448055625931087940960261", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.0362448055625931087940960261", "prec": 100}, "elladic_images": ["4.6.0.1", "3.8.0.2"], "modell_images": ["2B", "3B.1.2"], "adelic_level": 25080, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "12.48.0-12.g.1.10", "20.12.0-4.c.1.2", "44.12.0-4.c.1.1", "60.96.0-60.c.1.14", "132.96.0.?", "152.12.0.?", "220.24.0.?", "456.96.0.?", "660.192.1.?", "760.24.0.?", "1672.24.0.?", "2280.192.1.?", "5016.192.1.?", "8360.48.0.?", "25080.384.5.?"], "abc_quality": 1.0270374871913532, "szpiro_ratio": 7.11997305472487} {"Clabel": "6270l4", "lmfdb_label": "6270.l2", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -21384008, 38059355306], "jinv": [1081411559614045490773061881, 522522049500], "min_quad_twist_ainvs": [1, 0, 1, -21384008, 38059355306], "iso_nlabel": 11, "Cnumber": 4, "lmfdb_number": 2, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 6, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 3, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [6], "torsion_primes": [2, 3], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 4, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 258048, "semistable": true, "potential_good_reduction": false, "absD": 522522049500, "faltings_height": {"__RealLiteral__": 0, "data": "2.4869386612285382630964734076", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "2.4869386612285382630964734076", "prec": 100}, "elladic_images": ["4.6.0.1", "3.8.0.1"], "modell_images": ["2B", "3B.1.1"], "adelic_level": 25080, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.8.0-3.a.1.2", "4.6.0.c.1", "6.24.0-6.a.1.4", "12.48.0-12.g.1.12", "20.12.0-4.c.1.2", "44.12.0-4.c.1.1", "60.96.0-60.c.2.16", "132.96.0.?", "152.12.0.?", "220.24.0.?", "456.96.0.?", "660.192.1.?", "760.24.0.?", "1672.24.0.?", "2280.192.1.?", "5016.192.1.?", "8360.48.0.?", "25080.384.5.?"], "abc_quality": 1.0269090848918059, "szpiro_ratio": 7.119327441881273} {"Clabel": "6270l6", "lmfdb_label": "6270.l3", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -2257883, -324349594], "jinv": [1272998045160051207059881, 691293848290254950400], "min_quad_twist_ainvs": [1, 0, 1, -2257883, -324349594], "iso_nlabel": 11, "Cnumber": 6, "lmfdb_number": 3, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 4, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 5, "faltings_ratio": 6, "isogeny_degrees": [1, 2, 3, 6], "nonmax_primes": [2, 3], "torsion_structure": [2, 2], "torsion_primes": [2], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 2, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 387072, "semistable": true, "potential_good_reduction": false, "absD": 691293848290254950400, "faltings_height": {"__RealLiteral__": 0, "data": "2.6896712152826204540854799654", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "2.6896712152826204540854799654", "prec": 100}, "elladic_images": ["2.6.0.1", "3.8.0.2"], "modell_images": ["2Cs", "3B.1.2"], "adelic_level": 12540, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.6.0.a.1", "3.8.0-3.a.1.1", "6.48.0-6.a.1.2", "20.12.0-2.a.1.1", "44.12.0-2.a.1.1", "60.96.0-60.a.1.16", "76.12.0.?", "132.96.0.?", "220.24.0.?", "228.96.0.?", "380.24.0.?", "660.192.1.?", "836.24.0.?", "1140.192.1.?", "2508.192.1.?", "4180.48.0.?", "12540.384.5.?"], "abc_quality": 1.035453641620829, "szpiro_ratio": 6.3479403222323345} {"Clabel": "6270l3", "lmfdb_label": "6270.l4", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -1745883, -886935194], "jinv": [588530213343917460371881, 861551575695360000], "min_quad_twist_ainvs": [1, 0, 1, -1745883, -886935194], "iso_nlabel": 11, "Cnumber": 3, "lmfdb_number": 4, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 2, "faltings_ratio": 3, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 1, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 193536, "semistable": true, "potential_good_reduction": false, "absD": 861551575695360000, "faltings_height": {"__RealLiteral__": 0, "data": "2.3430976250026477993768639046", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "2.3430976250026477993768639046", "prec": 100}, "elladic_images": ["4.6.0.1", "3.8.0.2"], "modell_images": ["2B", "3B.1.2"], "adelic_level": 25080, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "12.48.0-12.g.1.10", "40.12.0-4.c.1.5", "44.12.0-4.c.1.2", "76.12.0.?", "120.96.0.?", "132.96.0.?", "228.96.0.?", "418.6.0.?", "440.24.0.?", "760.24.0.?", "836.24.0.?", "1254.48.0.?", "1320.192.1.?", "2280.192.1.?", "2508.192.1.?", "8360.48.0.?", "25080.384.5.?"], "abc_quality": 1.006986298424931, "szpiro_ratio": 6.2597034597947205} {"Clabel": "6270l2", "lmfdb_label": "6270.l5", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -1336508, 594587306], "jinv": [264020672568758737421881, 5803468580250000], "min_quad_twist_ainvs": [1, 0, 1, -1336508, 594587306], "iso_nlabel": 11, "Cnumber": 2, "lmfdb_number": 5, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 12, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 1, "faltings_ratio": 2, "isogeny_degrees": [1, 2, 3, 6], "nonmax_primes": [2, 3], "torsion_structure": [2, 6], "torsion_primes": [2, 3], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 10, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 129024, "semistable": true, "potential_good_reduction": false, "absD": 5803468580250000, "faltings_height": {"__RealLiteral__": 0, "data": "2.1403650709485656083878573469", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "2.1403650709485656083878573469", "prec": 100}, "elladic_images": ["2.6.0.1", "3.8.0.1"], "modell_images": ["2Cs", "3B.1.1"], "adelic_level": 12540, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.6.0.a.1", "3.8.0-3.a.1.2", "6.48.0-6.a.1.1", "20.12.0-2.a.1.1", "44.12.0-2.a.1.1", "60.96.0-60.a.2.28", "76.12.0.?", "132.96.0.?", "220.24.0.?", "228.96.0.?", "380.24.0.?", "660.192.1.?", "836.24.0.?", "1140.192.1.?", "2508.192.1.?", "4180.48.0.?", "12540.384.5.?"], "abc_quality": 1.0045612568131144, "szpiro_ratio": 6.168024159794691} {"Clabel": "6270l5", "lmfdb_label": "6270.l6", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -1289008, 638819306], "jinv": [-236859095231405581781881, 39282983014374049500], "min_quad_twist_ainvs": [1, 0, 1, -1289008, 638819306], "iso_nlabel": 11, "Cnumber": 5, "lmfdb_number": 6, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 6, "rank": 0, "analytic_rank": 0, "signD": -1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 4, "faltings_ratio": 4, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [6], "torsion_primes": [2, 3], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 4, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 258048, "semistable": true, "potential_good_reduction": false, "absD": 39282983014374049500, "faltings_height": {"__RealLiteral__": 0, "data": "2.4869386612285382630964734076", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "2.4869386612285382630964734076", "prec": 100}, "elladic_images": ["4.6.0.1", "3.8.0.1"], "modell_images": ["2B", "3B.1.1"], "adelic_level": 25080, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.8.0-3.a.1.2", "4.6.0.c.1", "6.24.0-6.a.1.4", "12.48.0-12.g.1.12", "20.12.0-4.c.1.1", "60.96.0-60.c.4.16", "76.12.0.?", "88.12.0.?", "190.6.0.?", "228.96.0.?", "264.96.0.?", "380.24.0.?", "440.24.0.?", "570.48.0.?", "1140.192.1.?", "1320.192.1.?", "1672.24.0.?", "5016.192.1.?", "8360.48.0.?", "25080.384.5.?"], "abc_quality": 1.0065664714543725, "szpiro_ratio": 6.184428497278297} {"Clabel": "6270l1", "lmfdb_label": "6270.l7", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, -86508, 8587306], "jinv": [71595431380957421881, 9522562500000000], "min_quad_twist_ainvs": [1, 0, 1, -86508, 8587306], "iso_nlabel": 11, "Cnumber": 1, "lmfdb_number": 7, "cm": 0, "num_bad_primes": 5, "optimality": 1, "manin_constant": 1, "torsion": 6, "rank": 0, "analytic_rank": 0, "signD": 1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 0, "faltings_ratio": 1, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [6], "torsion_primes": [2, 3], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 5, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 64512, "semistable": true, "potential_good_reduction": false, "absD": 9522562500000000, "faltings_height": {"__RealLiteral__": 0, "data": "1.7937914806685929536792412862", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "1.7937914806685929536792412862", "prec": 100}, "elladic_images": ["4.6.0.1", "3.8.0.1"], "modell_images": ["2B", "3B.1.1"], "adelic_level": 25080, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.8.0-3.a.1.2", "4.6.0.c.1", "6.24.0-6.a.1.4", "12.48.0-12.g.1.12", "40.12.0-4.c.1.5", "44.12.0-4.c.1.2", "76.12.0.?", "120.96.0.?", "132.96.0.?", "228.96.0.?", "418.6.0.?", "440.24.0.?", "760.24.0.?", "836.24.0.?", "1254.48.0.?", "1320.192.1.?", "2280.192.1.?", "2508.192.1.?", "8360.48.0.?", "25080.384.5.?"], "abc_quality": 0.9787338002291452, "szpiro_ratio": 5.228729631682099} {"Clabel": "6270l8", "lmfdb_label": "6270.l8", "Ciso": "6270l", "lmfdb_iso": "6270.l", "regulator": 1, "ainvs": [1, 0, 1, 8716517, -2549957914], "jinv": [73240740785321709623685719, 45195275784938365817280], "min_quad_twist_ainvs": [1, 0, 1, 8716517, -2549957914], "iso_nlabel": 11, "Cnumber": 8, "lmfdb_number": 8, "cm": 0, "num_bad_primes": 5, "optimality": 0, "manin_constant": 1, "torsion": 2, "rank": 0, "analytic_rank": 0, "signD": -1, "class_deg": 12, "class_size": 8, "min_quad_twist_disc": 1, "faltings_index": 7, "faltings_ratio": 12, "isogeny_degrees": [1, 2, 3, 4, 6, 12], "nonmax_primes": [2, 3], "torsion_structure": [2], "torsion_primes": [2], "sha_primes": [], "conductor": 6270, "nonmax_rad": 6, "num_int_pts": 0, "sha": 1, "bad_primes": [2, 3, 5, 11, 19], "degree": 774144, "semistable": true, "potential_good_reduction": false, "absD": 45195275784938365817280, "faltings_height": {"__RealLiteral__": 0, "data": "3.0362448055625931087940960261", "prec": 100}, "stable_faltings_height": {"__RealLiteral__": 0, "data": "3.0362448055625931087940960261", "prec": 100}, "elladic_images": ["4.6.0.1", "3.8.0.2"], "modell_images": ["2B", "3B.1.2"], "adelic_level": 25080, "adelic_index": 384, "adelic_genus": 5, "modm_images": ["2.3.0.a.1", "3.8.0-3.a.1.1", "4.6.0.c.1", "6.24.0-6.a.1.2", "12.48.0-12.g.1.10", "20.12.0-4.c.1.1", "60.96.0-60.c.3.12", "76.12.0.?", "88.12.0.?", "190.6.0.?", "228.96.0.?", "264.96.0.?", "380.24.0.?", "440.24.0.?", "570.48.0.?", "1140.192.1.?", "1320.192.1.?", "1672.24.0.?", "5016.192.1.?", "8360.48.0.?", "25080.384.5.?"], "abc_quality": 1.0456592169621262, "szpiro_ratio": 6.811411745461771}