Elliptic curve search results

Results (15 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
9768.l1	9768j2	9768.l	9768j	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$0.852319328$	$1$		$5$	$2048$	$0.246523$	$1917170512/362637$	$0.80512$	$2.93019$	$[0, 1, 0, -164, -720]$	\(y^2=x^3+x^2-164x-720\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-8, 12)]$	$1$
19536.b1	19536f2	19536.b	19536f	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$0.976934598$	$1$		$5$	$4096$	$0.246523$	$1917170512/362637$	$0.80512$	$2.72462$	$[0, -1, 0, -164, 720]$	\(y^2=x^3-x^2-164x+720\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-4, 36)]$	$1$
29304.p1	29304q2	29304.p	29304q	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{10} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$0.774199683$	$1$		$9$	$16384$	$0.795829$	$1917170512/362637$	$0.80512$	$3.25809$	$[0, 0, 0, -1479, 17962]$	\(y^2=x^3-1479x+17962\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(41, 162)]$	$1$
58608.bi1	58608e2	58608.bi	58608e	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{10} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$2.391754796$	$1$		$3$	$32768$	$0.795829$	$1917170512/362637$	$0.80512$	$3.05238$	$[0, 0, 0, -1479, -17962]$	\(y^2=x^3-1479x-17962\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-26, 54)]$	$1$
78144.bj1	78144p2	78144.bj	78144p	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{4} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$32768$	$0.593097$	$1917170512/362637$	$0.80512$	$2.75851$	$[0, -1, 0, -657, -5103]$	\(y^2=x^3-x^2-657x-5103\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$	$1$
78144.cy1	78144cs2	78144.cy	78144cs	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{4} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1.822389897$	$1$		$5$	$32768$	$0.593097$	$1917170512/362637$	$0.80512$	$2.75851$	$[0, 1, 0, -657, 5103]$	\(y^2=x^3+x^2-657x+5103\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-3, 84)]$	$1$
107448.s1	107448bc2	107448.s	107448bc	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 11^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$0.805657876$	$1$		$7$	$245760$	$1.445471$	$1917170512/362637$	$0.80512$	$3.56560$	$[0, 1, 0, -19884, 878832]$	\(y^2=x^3+x^2-19884x+878832\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(18, 726)]$	$1$
214896.g1	214896cj2	214896.g	214896cj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 11^{8} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$2.619044440$	$1$		$3$	$491520$	$1.445471$	$1917170512/362637$	$0.80512$	$3.36431$	$[0, -1, 0, -19884, -878832]$	\(y^2=x^3-x^2-19884x-878832\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(224, 2420)]$	$1$
234432.w1	234432w2	234432.w	234432w	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{10} \cdot 11^{2} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$4.236662151$	$1$		$13$	$262144$	$1.142403$	$1917170512/362637$	$0.80512$	$3.04651$	$[0, 0, 0, -5916, 143696]$	\(y^2=x^3-5916x+143696\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(61, 99), (109, 891)]$	$1$
234432.bc1	234432bc2	234432.bc	234432bc	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{10} \cdot 11^{2} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$262144$	$1.142403$	$1917170512/362637$	$0.80512$	$3.04651$	$[0, 0, 0, -5916, -143696]$	\(y^2=x^3-5916x-143696\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$	$1$
244200.l1	244200l2	244200.l	244200l	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$2.535962084$	$1$		$17$	$262144$	$1.051241$	$1917170512/362637$	$0.80512$	$2.94831$	$[0, -1, 0, -4108, -81788]$	\(y^2=x^3-x^2-4108x-81788\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-48, 50), (-32, 126)]$	$1$
322344.bh1	322344bh2	322344.bh	322344bh	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{10} \cdot 11^{8} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$1966080$	$1.994776$	$1917170512/362637$	$0.80512$	$3.77647$	$[0, 0, 0, -178959, -23907422]$	\(y^2=x^3-178959x-23907422\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$	$1$
361416.br1	361416br2	361416.br	361416br	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 37^{7} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1.730187940$	$1$		$3$	$2801664$	$2.051983$	$1917170512/362637$	$0.80512$	$3.79634$	$[0, 1, 0, -224972, -33772368]$	\(y^2=x^3+x^2-224972x-33772368\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(2824, 147852)]$	$1$
478632.be1	478632be2	478632.be	478632be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 7^{6} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1.678129550$	$1$		$5$	$786432$	$1.219479$	$1917170512/362637$	$0.80512$	$2.95097$	$[0, -1, 0, -8052, 230868]$	\(y^2=x^3-x^2-8052x+230868\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(26, 196)]$	$1$
488400.gl1	488400gl2	488400.gl	488400gl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{6} \cdot 11^{2} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1.906874260$	$1$		$5$	$524288$	$1.051241$	$1917170512/362637$	$0.80512$	$2.79229$	$[0, 1, 0, -4108, 81788]$	\(y^2=x^3+x^2-4108x+81788\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-2, 300)]$	$1$

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