Elliptic curve search results

Results (21 matches)

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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	Manin constant
2652.a1	2652a1	2652.a	2652a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$1728$	$0.722626$	$7107347955712/1996623837$	$0.97060$	$4.10560$	$[0, -1, 0, -1009, 9190]$	\(y^2=x^3-x^2-1009x+9190\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
7956.g1	7956c1	7956.g	7956c	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{18} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$13824$	$1.271933$	$7107347955712/1996623837$	$0.97060$	$4.33732$	$[0, 0, 0, -9084, -239047]$	\(y^2=x^3-9084x-239047\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
10608.o1	10608u1	10608.o	10608u	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$0.861867321$	$1$		$5$	$6912$	$0.722626$	$7107347955712/1996623837$	$0.97060$	$3.49158$	$[0, 1, 0, -1009, -9190]$	\(y^2=x^3+x^2-1009x-9190\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(98, 918)]$	$1$
31824.bb1	31824bc1	31824.bb	31824bc	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{18} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.22	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$55296$	$1.271933$	$7107347955712/1996623837$	$0.97060$	$3.75738$	$[0, 0, 0, -9084, 239047]$	\(y^2=x^3-9084x+239047\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
34476.f1	34476c1	34476.f	34476c	$2$	$2$	\( 2^{2} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$290304$	$2.005100$	$7107347955712/1996623837$	$0.97060$	$4.57067$	$[0, -1, 0, -170577, 19508202]$	\(y^2=x^3-x^2-170577x+19508202\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
42432.v1	42432bt1	42432.v	42432bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{12} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$4.110254659$	$1$		$3$	$55296$	$1.069199$	$7107347955712/1996623837$	$0.97060$	$3.42763$	$[0, -1, 0, -4037, -69483]$	\(y^2=x^3-x^2-4037x-69483\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(-44, 145)]$	$1$
42432.cl1	42432y1	42432.cl	42432y	$2$	$2$	\( 2^{6} \cdot 3 \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{12} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1.010434569$	$1$		$5$	$55296$	$1.069199$	$7107347955712/1996623837$	$0.97060$	$3.42763$	$[0, 1, 0, -4037, 69483]$	\(y^2=x^3+x^2-4037x+69483\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(7, 204)]$	$1$
45084.n1	45084j1	45084.n	45084j	$2$	$2$	\( 2^{2} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$2.617153621$	$1$		$1$	$497664$	$2.139233$	$7107347955712/1996623837$	$0.97060$	$4.60645$	$[0, 1, 0, -291697, 43400468]$	\(y^2=x^3+x^2-291697x+43400468\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 312.24.0.?, $\ldots$	$[(-619/2, 73695/2)]$	$1$
66300.ba1	66300bg1	66300.ba	66300bg	$2$	$2$	\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$0.417072918$	$1$		$13$	$221184$	$1.527344$	$7107347955712/1996623837$	$0.97060$	$3.78505$	$[0, 1, 0, -25233, 1098288]$	\(y^2=x^3+x^2-25233x+1098288\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$	$[(273, 3825)]$	$1$
103428.e1	103428v1	103428.e	103428v	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{18} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$2322432$	$2.554405$	$7107347955712/1996623837$	$0.97060$	$4.70666$	$[0, 0, 0, -1535196, -525186259]$	\(y^2=x^3-1535196x-525186259\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
127296.t1	127296ds1	127296.t	127296ds	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{18} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$1768$	$48$	$0$	$3.148914017$	$1$		$3$	$442368$	$1.618505$	$7107347955712/1996623837$	$0.97060$	$3.66805$	$[0, 0, 0, -36336, 1912376]$	\(y^2=x^3-36336x+1912376\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(158, 340)]$	$1$
127296.bc1	127296bq1	127296.bc	127296bq	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 13 \cdot 17 \)	\( 2^{10} \cdot 3^{18} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.21	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$442368$	$1.618505$	$7107347955712/1996623837$	$0.97060$	$3.66805$	$[0, 0, 0, -36336, -1912376]$	\(y^2=x^3-36336x-1912376\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
129948.bl1	129948bl1	129948.bl	129948bl	$2$	$2$	\( 2^{2} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 7^{6} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$37128$	$48$	$0$	$1$	$1$		$1$	$622080$	$1.695581$	$7107347955712/1996623837$	$0.97060$	$3.74018$	$[0, 1, 0, -49457, -3053268]$	\(y^2=x^3+x^2-49457x-3053268\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 168.12.0.?, $\ldots$	$[ ]$	$1$
135252.h1	135252f1	135252.h	135252f	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{18} \cdot 13 \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$1768$	$48$	$0$	$3.032319027$	$1$		$3$	$3981312$	$2.688538$	$7107347955712/1996623837$	$0.97060$	$4.73603$	$[0, 0, 0, -2625276, -1174437911]$	\(y^2=x^3-2625276x-1174437911\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 104.24.0.?, $\ldots$	$[(-765, 19652)]$	$1$
137904.cw1	137904q1	137904.cw	137904q	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 13^{7} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$4.105686303$	$1$		$3$	$1161216$	$2.005100$	$7107347955712/1996623837$	$0.97060$	$4.03525$	$[0, 1, 0, -170577, -19508202]$	\(y^2=x^3+x^2-170577x-19508202\)	2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[(462, 714)]$	$1$
180336.bh1	180336bq1	180336.bh	180336bq	$2$	$2$	\( 2^{4} \cdot 3 \cdot 13 \cdot 17^{2} \)	\( 2^{4} \cdot 3^{12} \cdot 13 \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$5304$	$48$	$0$	$1$	$1$		$1$	$1990656$	$2.139233$	$7107347955712/1996623837$	$0.97060$	$4.07880$	$[0, -1, 0, -291697, -43400468]$	\(y^2=x^3-x^2-291697x-43400468\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 312.24.0.?, $\ldots$	$[ ]$	$1$
198900.w1	198900bi1	198900.w	198900bi	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{18} \cdot 5^{6} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$1769472$	$2.076653$	$7107347955712/1996623837$	$0.97060$	$3.98449$	$[0, 0, 0, -227100, -29880875]$	\(y^2=x^3-227100x-29880875\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 40.12.0-4.b.1.2, 52.12.0.e.1, $\ldots$	$[ ]$	$1$
265200.cx1	265200cx1	265200.cx	265200cx	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 5^{6} \cdot 13 \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$26520$	$48$	$0$	$1$	$4$	$2$	$1$	$884736$	$1.527344$	$7107347955712/1996623837$	$0.97060$	$3.36488$	$[0, -1, 0, -25233, -1098288]$	\(y^2=x^3-x^2-25233x-1098288\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 120.12.0.?, $\ldots$	$[ ]$	$1$
320892.a1	320892a1	320892.a	320892a	$2$	$2$	\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{12} \cdot 11^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$58344$	$48$	$0$	$1.524962259$	$1$		$7$	$2419200$	$1.921574$	$7107347955712/1996623837$	$0.97060$	$3.68741$	$[0, -1, 0, -122129, -11743422]$	\(y^2=x^3-x^2-122129x-11743422\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 264.12.0.?, $\ldots$	$[(-227, 2057)]$	$1$
389844.p1	389844p1	389844.p	389844p	$2$	$2$	\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( 2^{4} \cdot 3^{18} \cdot 7^{6} \cdot 13 \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.3	2B	$12376$	$48$	$0$	$2.373728360$	$1$		$3$	$4976640$	$2.244888$	$7107347955712/1996623837$	$0.97060$	$3.93303$	$[0, 0, 0, -445116, 81993121]$	\(y^2=x^3-445116x+81993121\)	2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 56.12.0-4.b.1.2, $\ldots$	$[(791, 14994)]$	$1$
413712.bk1	413712bk1	413712.bk	413712bk	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 13^{2} \cdot 17 \)	\( 2^{4} \cdot 3^{18} \cdot 13^{7} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.24	2B	$1768$	$48$	$0$	$1$	$1$		$1$	$9289728$	$2.554405$	$7107347955712/1996623837$	$0.97060$	$4.20215$	$[0, 0, 0, -1535196, 525186259]$	\(y^2=x^3-1535196x+525186259\)	2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 26.6.0.b.1, 52.12.0.e.1, $\ldots$	$[ ]$	$1$

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