Elliptic curve search results

Results (15 matches)

  Download displayed columns for results to

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
9768.e1	9768b2	9768.e	9768b	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$9216$	$0.834576$	$1021697727568/589929813$	$0.97624$	$3.61360$	$[0, -1, 0, -1332, 1332]$	\(y^2=x^3-x^2-1332x+1332\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
19536.bd1	19536o2	19536.bd	19536o	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$18432$	$0.834576$	$1021697727568/589929813$	$0.97624$	$3.36008$	$[0, 1, 0, -1332, -1332]$	\(y^2=x^3+x^2-1332x-1332\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
29304.c1	29304s2	29304.c	29304s	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$0.304935329$	$1$		$11$	$73728$	$1.383883$	$1021697727568/589929813$	$0.97624$	$3.86850$	$[0, 0, 0, -11991, -23974]$	\(y^2=x^3-11991x-23974\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-35, 594)]$
58608.m1	58608i2	58608.m	58608i	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$3.096851723$	$1$		$3$	$147456$	$1.383883$	$1021697727568/589929813$	$0.97624$	$3.62425$	$[0, 0, 0, -11991, 23974]$	\(y^2=x^3-11991x+23974\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-10, 378)]$
78144.n1	78144bt2	78144.n	78144bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{2} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$147456$	$1.181149$	$1021697727568/589929813$	$0.97624$	$3.31578$	$[0, -1, 0, -5329, -5327]$	\(y^2=x^3-x^2-5329x-5327\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
78144.bu1	78144bm2	78144.bu	78144bm	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{2} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1.283281639$	$1$		$5$	$147456$	$1.181149$	$1021697727568/589929813$	$0.97624$	$3.31578$	$[0, 1, 0, -5329, 5327]$	\(y^2=x^3+x^2-5329x+5327\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-43, 396)]$
107448.o1	107448r2	107448.o	107448r	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 11^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$1105920$	$2.033524$	$1021697727568/589929813$	$0.97624$	$4.10755$	$[0, -1, 0, -161212, -1128092]$	\(y^2=x^3-x^2-161212x-1128092\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
214896.cl1	214896cb2	214896.cl	214896cb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 11^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$2211840$	$2.033524$	$1021697727568/589929813$	$0.97624$	$3.87566$	$[0, 1, 0, -161212, 1128092]$	\(y^2=x^3+x^2-161212x+1128092\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
234432.de1	234432de2	234432.de	234432de	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{8} \cdot 11^{6} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$9.514627580$	$1$		$9$	$1179648$	$1.730455$	$1021697727568/589929813$	$0.97624$	$3.55427$	$[0, 0, 0, -47964, -191792]$	\(y^2=x^3-47964x-191792\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-16, 756), (-196, 1296)]$
234432.ed1	234432ed2	234432.ed	234432ed	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 37 \)	\( 2^{14} \cdot 3^{8} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$1179648$	$1.730455$	$1021697727568/589929813$	$0.97624$	$3.55427$	$[0, 0, 0, -47964, 191792]$	\(y^2=x^3-47964x+191792\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
244200.cf1	244200cf2	244200.cf	244200cf	$2$	$2$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 37 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$3.412238428$	$1$		$3$	$1179648$	$1.639294$	$1021697727568/589929813$	$0.97624$	$3.45439$	$[0, 1, 0, -33308, 99888]$	\(y^2=x^3+x^2-33308x+99888\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(228, 2100)]$
322344.k1	322344k2	322344.k	322344k	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 37 \)	\( 2^{8} \cdot 3^{8} \cdot 11^{12} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$8847360$	$2.582829$	$1021697727568/589929813$	$0.97624$	$4.27147$	$[0, 0, 0, -1450911, 31909394]$	\(y^2=x^3-1450911x+31909394\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
361416.f1	361416f2	361416.f	361416f	$2$	$2$	\( 2^{3} \cdot 3 \cdot 11 \cdot 37^{2} \)	\( 2^{8} \cdot 3^{2} \cdot 11^{6} \cdot 37^{7} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$3.119886946$	$1$		$19$	$12607488$	$2.640034$	$1021697727568/589929813$	$0.97624$	$4.28693$	$[0, -1, 0, -1823964, 45584100]$	\(y^2=x^3-x^2-1823964x+45584100\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(-12, 8214), (1356, 7986)]$
478632.bn1	478632bn2	478632.bn	478632bn	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 7^{6} \cdot 11^{6} \cdot 37 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$1$	$1$		$1$	$2654208$	$1.807531$	$1021697727568/589929813$	$0.97624$	$3.43101$	$[0, 1, 0, -65284, -326320]$	\(y^2=x^3+x^2-65284x-326320\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[ ]$
488400.l1	488400l2	488400.l	488400l	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 37 \)	\( 2^{8} \cdot 3^{2} \cdot 5^{6} \cdot 11^{6} \cdot 37 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$1628$	$12$	$0$	$2.434549217$	$1$		$15$	$2359296$	$1.639294$	$1021697727568/589929813$	$0.97624$	$3.27160$	$[0, -1, 0, -33308, -99888]$	\(y^2=x^3-x^2-33308x-99888\)	2.3.0.a.1, 44.6.0.c.1, 74.6.0.?, 1628.12.0.?	$[(272, 3300), (-28, 900)]$

  Download displayed columns for results to