Elliptic curve search results

Results (14 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
60648.r2	60648e1	60648.r	60648e	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$4.072138792$	$1$		$3$	$291840$	$1.626017$	$2048/441$	$1.13186$	$3.88761$	$[0, -1, 0, 4573, 2291160]$	\(y^2=x^3-x^2+4573x+2291160\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(55, 1645)]$
60648.bl2	60648be1	60648.bl	60648be	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$2.176139274$	$1$		$3$	$15360$	$0.153797$	$2048/441$	$1.13186$	$2.28342$	$[0, 1, 0, 13, -330]$	\(y^2=x^3+x^2+13x-330\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(10, 30)]$
121296.bp2	121296k1	121296.bp	121296k	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$1$	$1$		$1$	$30720$	$0.153797$	$2048/441$	$1.13186$	$2.14821$	$[0, -1, 0, 13, 330]$	\(y^2=x^3-x^2+13x+330\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[]$
121296.di2	121296bi1	121296.di	121296bi	$2$	$2$	\( 2^{4} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$27.94219868$	$1$		$1$	$583680$	$1.626017$	$2048/441$	$1.13186$	$3.65741$	$[0, 1, 0, 4573, -2291160]$	\(y^2=x^3+x^2+4573x-2291160\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(2152474455841/50264, 3163908342713651025/50264)]$
181944.g2	181944bk1	181944.g	181944bk	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$3.247973477$	$1$		$11$	$122880$	$0.703103$	$2048/441$	$1.13186$	$2.62055$	$[0, 0, 0, 114, 9025]$	\(y^2=x^3+114x+9025\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(0, 95), (-12, 77)]$
181944.i2	181944c1	181944.i	181944c	$2$	$2$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$11.05018341$	$1$		$1$	$2334720$	$2.175323$	$2048/441$	$1.13186$	$4.07922$	$[0, 0, 0, 41154, -61902475]$	\(y^2=x^3+41154x-61902475\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(172873/8, 71966907/8)]$
363888.o2	363888o1	363888.o	363888o	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$5.232484659$	$1$		$3$	$245760$	$0.703103$	$2048/441$	$1.13186$	$2.47869$	$[0, 0, 0, 114, -9025]$	\(y^2=x^3+114x-9025\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(2147, 99484)]$
363888.q2	363888q1	363888.q	363888q	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$16.62375660$	$1$		$1$	$4669440$	$2.175323$	$2048/441$	$1.13186$	$3.85840$	$[0, 0, 0, 41154, 61902475]$	\(y^2=x^3+41154x+61902475\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(49546457/28, 348755605731/28)]$
424536.i2	424536i1	424536.i	424536i	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$1.085649439$	$1$		$7$	$737280$	$1.126753$	$2048/441$	$1.13186$	$2.84151$	$[0, -1, 0, 621, 114444]$	\(y^2=x^3-x^2+621x+114444\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(5, 343)]$
424536.ct2	424536ct1	424536.ct	424536ct	$2$	$2$	\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 19^{2} \)	\( - 2^{4} \cdot 3^{2} \cdot 7^{8} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$8.022049540$	$1$		$3$	$14008320$	$2.598972$	$2048/441$	$1.13186$	$4.20481$	$[0, 1, 0, 224061, -786316014]$	\(y^2=x^3+x^2+224061x-786316014\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(4686, 321222)]$
485184.r2	485184r1	485184.r	485184r	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 19^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$2.414097723$	$1$		$5$	$245760$	$0.500370$	$2048/441$	$1.13186$	$2.23841$	$[0, -1, 0, 51, -2691]$	\(y^2=x^3-x^2+51x-2691\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(20, 77)]$
485184.u2	485184u1	485184.u	485184u	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 19^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$4.849604851$	$1$		$3$	$4669440$	$1.972589$	$2048/441$	$1.13186$	$3.58780$	$[0, -1, 0, 18291, -18347571]$	\(y^2=x^3-x^2+18291x-18347571\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(493, 10500)]$
485184.fn2	485184fn1	485184.fn	485184fn	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 19^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$1$	$4$	$2$	$1$	$4669440$	$1.972589$	$2048/441$	$1.13186$	$3.58780$	$[0, 1, 0, 18291, 18347571]$	\(y^2=x^3+x^2+18291x+18347571\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[]$
485184.fr2	485184fr1	485184.fr	485184fr	$2$	$2$	\( 2^{6} \cdot 3 \cdot 7 \cdot 19^{2} \)	\( - 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 19^{3} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$532$	$12$	$0$	$4.039948143$	$1$		$9$	$245760$	$0.500370$	$2048/441$	$1.13186$	$2.23841$	$[0, 1, 0, 51, 2691]$	\(y^2=x^3+x^2+51x+2691\)	2.3.0.a.1, 28.6.0.d.1, 38.6.0.b.1, 532.12.0.?	$[(6, 57), (158, 1995)]$