Elliptic curve search results

Results (15 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
7410.l4	7410l1	7410.l	7410l	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.1	2B	$9880$	$48$	$0$	$0.601032300$	$1$		$9$	$18432$	$1.241005$	$7210309838759/22505154048000$	$1.00846$	$4.28696$	$[1, 0, 1, 402, 228256]$	\(y^2+xy+y=x^3+402x+228256\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 76.12.0.?, 104.12.0.?, $\ldots$	$[(5, 477)]$
22230.ba4	22230bg1	22230.ba	22230bg	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 13^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1.778428673$	$1$		$5$	$147456$	$1.790312$	$7210309838759/22505154048000$	$1.00846$	$4.47498$	$[1, -1, 1, 3622, -6162919]$	\(y^2+xy+y=x^3-x^2+3622x-6162919\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 190.6.0.?, 228.12.0.?, $\ldots$	$[(273, 3751)]$
37050.bq4	37050bq1	37050.bq	37050bq	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{12} \cdot 3^{4} \cdot 5^{9} \cdot 13^{4} \cdot 19 \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$9880$	$48$	$0$	$1.175797171$	$1$		$13$	$442368$	$2.045723$	$7210309838759/22505154048000$	$1.00846$	$4.54903$	$[1, 1, 1, 10062, 28532031]$	\(y^2+xy+y=x^3+x^2+10062x+28532031\)	2.3.0.a.1, 4.12.0-4.c.1.1, 190.6.0.?, 380.24.0.?, 520.24.0.?, $\ldots$	$[(355, 8597)]$
59280.s4	59280bi1	59280.s	59280bi	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{24} \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$1$	$1$		$1$	$442368$	$1.934153$	$7210309838759/22505154048000$	$1.00846$	$4.23266$	$[0, -1, 0, 6440, -14608400]$	\(y^2=x^3-x^2+6440x-14608400\)	2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 76.12.0.?, 104.12.0.?, $\ldots$	$[]$
96330.cz4	96330da1	96330.cz	96330da	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 13^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.12	2B	$9880$	$48$	$0$	$1$	$1$		$1$	$3096576$	$2.523479$	$7210309838759/22505154048000$	$1.00846$	$4.66985$	$[1, 0, 0, 68019, 501410961]$	\(y^2+xy=x^3+68019x+501410961\)	2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 190.6.0.?, 260.12.0.?, $\ldots$	$[]$
111150.bs4	111150bi1	111150.bs	111150bi	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{9} \cdot 13^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$4.428658343$	$1$		$3$	$3538944$	$2.595032$	$7210309838759/22505154048000$	$1.00846$	$4.68623$	$[1, -1, 0, 90558, -770274284]$	\(y^2+xy=x^3-x^2+90558x-770274284\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 190.6.0.?, 380.12.0.?, $\ldots$	$[(25259, 4001933)]$
140790.bw4	140790y1	140790.bw	140790y	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \cdot 19^{7} \)	$1$	$\Z/4\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.7	2B	$9880$	$48$	$0$	$1.981636561$	$1$		$9$	$6635520$	$2.713226$	$7210309838759/22505154048000$	$1.00846$	$4.71243$	$[1, 1, 1, 145295, -1565319025]$	\(y^2+xy+y=x^3+x^2+145295x-1565319025\)	2.3.0.a.1, 4.12.0-4.c.1.1, 190.6.0.?, 380.24.0.?, 520.24.0.?, $\ldots$	$[(1223, 20448)]$
177840.z4	177840bk1	177840.z	177840bk	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{24} \cdot 3^{10} \cdot 5^{3} \cdot 13^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.483459$	$7210309838759/22505154048000$	$1.00846$	$4.39328$	$[0, 0, 0, 57957, 394368842]$	\(y^2=x^3+57957x+394368842\)	2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 190.6.0.?, 228.12.0.?, $\ldots$	$[]$
237120.bh4	237120bh1	237120.bh	237120bh	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{30} \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$4.290953885$	$1$		$3$	$3538944$	$2.280727$	$7210309838759/22505154048000$	$1.00846$	$4.09459$	$[0, -1, 0, 25759, 116841441]$	\(y^2=x^3-x^2+25759x+116841441\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 104.12.0.?, 152.12.0.?, $\ldots$	$[(2675, 138996)]$
237120.eb4	237120eb1	237120.eb	237120eb	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 19 \)	\( - 2^{30} \cdot 3^{4} \cdot 5^{3} \cdot 13^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$1$	$1$		$1$	$3538944$	$2.280727$	$7210309838759/22505154048000$	$1.00846$	$4.09459$	$[0, 1, 0, 25759, -116841441]$	\(y^2=x^3+x^2+25759x-116841441\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 104.12.0.?, 152.12.0.?, $\ldots$	$[]$
288990.cx4	288990cx1	288990.cx	288990cx	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 13^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$1$		$1$	$24772608$	$3.072784$	$7210309838759/22505154048000$	$1.00846$	$4.78606$	$[1, -1, 0, 612171, -13538095947]$	\(y^2+xy=x^3-x^2+612171x-13538095947\)	2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 190.6.0.?, 380.12.0.?, $\ldots$	$[]$
296400.gg4	296400gg1	296400.gg	296400gg	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 19 \)	\( - 2^{24} \cdot 3^{4} \cdot 5^{9} \cdot 13^{4} \cdot 19 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.8	2B	$9880$	$48$	$0$	$2.635084523$	$1$		$3$	$10616832$	$2.738873$	$7210309838759/22505154048000$	$1.00846$	$4.45842$	$[0, 1, 0, 160992, -1825728012]$	\(y^2=x^3+x^2+160992x-1825728012\)	2.3.0.a.1, 4.12.0-4.c.1.2, 190.6.0.?, 380.24.0.?, 520.24.0.?, $\ldots$	$[(2348, 107250)]$
363090.e4	363090e1	363090.e	363090e	$4$	$4$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 19 \)	\( - 2^{12} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \cdot 13^{4} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$69160$	$48$	$0$	$1$	$1$		$1$	$7077888$	$2.213959$	$7210309838759/22505154048000$	$1.00846$	$3.89573$	$[1, 1, 0, 19722, -78272172]$	\(y^2+xy=x^3+x^2+19722x-78272172\)	2.3.0.a.1, 4.6.0.c.1, 140.12.0.?, 190.6.0.?, 380.12.0.?, $\ldots$	$[]$
422370.x4	422370x1	422370.x	422370x	$4$	$4$	\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \cdot 19^{2} \)	\( - 2^{12} \cdot 3^{10} \cdot 5^{3} \cdot 13^{4} \cdot 19^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$29640$	$48$	$0$	$1$	$1$		$1$	$53084160$	$3.262531$	$7210309838759/22505154048000$	$1.00846$	$4.82163$	$[1, -1, 0, 1307655, 42264921325]$	\(y^2+xy=x^3-x^2+1307655x+42264921325\)	2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 190.6.0.?, 380.12.0.?, $\ldots$	$[]$
481650.bb4	481650bb1	481650.bb	481650bb	$4$	$4$	\( 2 \cdot 3 \cdot 5^{2} \cdot 13^{2} \cdot 19 \)	\( - 2^{12} \cdot 3^{4} \cdot 5^{9} \cdot 13^{10} \cdot 19 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.1	2B	$9880$	$48$	$0$	$1$	$1$		$1$	$74317824$	$3.328197$	$7210309838759/22505154048000$	$1.00846$	$4.83345$	$[1, 1, 0, 1700475, 62676370125]$	\(y^2+xy=x^3+x^2+1700475x+62676370125\)	2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.4, 52.12.0-4.c.1.2, 152.12.0.?, $\ldots$	$[]$