Elliptic curve search results

Results (11 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
26520.x2	26520f2	26520.x	26520f	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$1$	$1$		$3$	$36864$	$1.004204$	$27572037674704/2472575625$	$0.87516$	$3.58278$	$[0, 1, 0, -3996, -90720]$	\(y^2=x^3+x^2-3996x-90720\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 68.24.0-68.a.1.1, 884.48.0.?	$[]$
53040.l2	53040g2	53040.l	53040g	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$2.673595274$	$1$		$7$	$73728$	$1.004204$	$27572037674704/2472575625$	$0.87516$	$3.35451$	$[0, -1, 0, -3996, 90720]$	\(y^2=x^3-x^2-3996x+90720\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.1, 68.24.0-68.a.1.2, 884.48.0.?	$[(-36, 432)]$
79560.bk2	79560bs2	79560.bk	79560bs	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$0.737626772$	$1$		$17$	$294912$	$1.553511$	$27572037674704/2472575625$	$0.87516$	$3.81812$	$[0, 0, 0, -35967, 2413474]$	\(y^2=x^3-35967x+2413474\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 156.24.0.?, $\ldots$	$[(53, 810)]$
132600.o2	132600u2	132600.o	132600u	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4420$	$48$	$0$	$1$	$1$		$3$	$884736$	$1.808924$	$27572037674704/2472575625$	$0.87516$	$3.91261$	$[0, -1, 0, -99908, -11140188]$	\(y^2=x^3-x^2-99908x-11140188\)	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 260.24.0.?, $\ldots$	$[]$
159120.du2	159120dg2	159120.du	159120dg	$4$	$4$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$2652$	$48$	$0$	$1$	$1$		$3$	$589824$	$1.553511$	$27572037674704/2472575625$	$0.87516$	$3.59716$	$[0, 0, 0, -35967, -2413474]$	\(y^2=x^3-35967x-2413474\)	2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 156.24.0.?, $\ldots$	$[]$
212160.cw2	212160gm2	212160.cw	212160gm	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1768$	$48$	$0$	$1.762891620$	$1$		$13$	$589824$	$1.350779$	$27572037674704/2472575625$	$0.87516$	$3.31444$	$[0, -1, 0, -15985, -709775]$	\(y^2=x^3-x^2-15985x-709775\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 104.24.0.?, $\ldots$	$[(-80, 225)]$
212160.gx2	212160r2	212160.gx	212160r	$4$	$4$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( 2^{14} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.1	2Cs	$1768$	$48$	$0$	$1.152719126$	$1$		$11$	$589824$	$1.350779$	$27572037674704/2472575625$	$0.87516$	$3.31444$	$[0, 1, 0, -15985, 709775]$	\(y^2=x^3+x^2-15985x+709775\)	2.6.0.a.1, 8.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 104.24.0.?, $\ldots$	$[(95, 240)]$
265200.fi2	265200fi2	265200.fi	265200fi	$4$	$4$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{10} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$4420$	$48$	$0$	$1$	$1$		$3$	$1769472$	$1.808924$	$27572037674704/2472575625$	$0.87516$	$3.69545$	$[0, 1, 0, -99908, 11140188]$	\(y^2=x^3+x^2-99908x+11140188\)	2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 68.12.0.a.1, 260.24.0.?, $\ldots$	$[]$
344760.cm2	344760cm2	344760.cm	344760cm	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{8} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$2.031249994$	$1$		$9$	$6193152$	$2.286678$	$27572037674704/2472575625$	$0.87516$	$4.06904$	$[0, 1, 0, -675380, -196610400]$	\(y^2=x^3+x^2-675380x-196610400\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 68.24.0-68.a.1.3, 884.48.0.?	$[(-530, 3570)]$
397800.cb2	397800cb2	397800.cb	397800cb	$4$	$4$	\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( 2^{8} \cdot 3^{10} \cdot 5^{10} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.6.0.1	2Cs	$13260$	$48$	$0$	$2.366749566$	$1$		$9$	$7077888$	$2.358231$	$27572037674704/2472575625$	$0.87516$	$4.09047$	$[0, 0, 0, -899175, 301684250]$	\(y^2=x^3-899175x+301684250\)	2.6.0.a.1, 52.12.0.b.1, 60.12.0-2.a.1.1, 68.12.0.a.1, 780.24.0.?, $\ldots$	$[(211, 11016)]$
450840.x2	450840x2	450840.x	450840x	$4$	$4$	\( 2^{3} \cdot 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( 2^{8} \cdot 3^{4} \cdot 5^{4} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z\oplus\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.12.0.1	2Cs	$884$	$48$	$0$	$4.778846290$	$1$		$5$	$10616832$	$2.420811$	$27572037674704/2472575625$	$0.87516$	$4.10883$	$[0, -1, 0, -1154940, -438777900]$	\(y^2=x^3-x^2-1154940x-438777900\)	2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.3, 68.24.0-68.a.1.2, 884.48.0.?	$[(-534, 5040)]$