Elliptic curve search results

Results (10 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
60690.bh1	60690bh1	60690.bh	60690bh	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$9.595788229$	$1$		$2$	$2467584$	$2.626587$	$-40112221740049/44471322000$	$0.95630$	$4.99917$	$[1, 1, 1, -1362641, -1046005441]$	\(y^2+xy+y=x^3+x^2-1362641x-1046005441\)	420.2.0.?	$[(1080113, 1122005014)]$
60690.ce1	60690ce1	60690.ce	60690ce	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.192356540$	$1$		$8$	$145152$	$1.209982$	$-40112221740049/44471322000$	$0.95630$	$3.45568$	$[1, 0, 0, -4715, -213183]$	\(y^2+xy=x^3-4715x-213183\)	420.2.0.?	$[(304, 4993)]$
182070.v1	182070cy1	182070.v	182070cy	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$0.267146227$	$1$		$8$	$1161216$	$1.759287$	$-40112221740049/44471322000$	$0.95630$	$3.68646$	$[1, -1, 0, -42435, 5755941]$	\(y^2+xy=x^3-x^2-42435x+5755941\)	420.2.0.?	$[(-30, 2661)]$
182070.bd1	182070cv1	182070.bd	182070cv	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 7^{7} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$19740672$	$3.175896$	$-40112221740049/44471322000$	$0.95630$	$5.08995$	$[1, -1, 0, -12263769, 28229883133]$	\(y^2+xy=x^3-x^2-12263769x+28229883133\)	420.2.0.?	$[]$
303450.f1	303450f1	303450.f	303450f	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$4.059916362$	$1$		$2$	$3483648$	$2.014702$	$-40112221740049/44471322000$	$0.95630$	$3.78008$	$[1, 1, 0, -117875, -26647875]$	\(y^2+xy=x^3+x^2-117875x-26647875\)	420.2.0.?	$[(745, 16940)]$
303450.de1	303450de1	303450.de	303450de	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{9} \cdot 7^{7} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$59222016$	$3.431309$	$-40112221740049/44471322000$	$0.95630$	$5.12678$	$[1, 0, 1, -34066026, -130682548052]$	\(y^2+xy+y=x^3-34066026x-130682548052\)	420.2.0.?	$[]$
424830.eu1	424830eu1	424830.eu	424830eu	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{13} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$4.021427899$	$1$		$2$	$6967296$	$2.182938$	$-40112221740049/44471322000$	$0.95630$	$3.83772$	$[1, 1, 1, -231036, 72890733]$	\(y^2+xy+y=x^3+x^2-231036x+72890733\)	420.2.0.?	$[(447, 7469)]$
424830.hx1	424830hx1	424830.hx	424830hx	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 7^{13} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1$	$1$		$0$	$118444032$	$3.599545$	$-40112221740049/44471322000$	$0.95630$	$5.14945$	$[1, 0, 0, -66769410, 358579557972]$	\(y^2+xy=x^3-66769410x+358579557972\)	420.2.0.?	$[]$
485520.cq1	485520cq1	485520.cq	485520cq	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{16} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$4.198528358$	$1$		$2$	$3483648$	$1.903128$	$-40112221740049/44471322000$	$0.95630$	$3.54213$	$[0, -1, 0, -75440, 13643712]$	\(y^2=x^3-x^2-75440x+13643712\)	420.2.0.?	$[(274, 3670)]$
485520.fz1	485520fz1	485520.fz	485520fz	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( - 2^{16} \cdot 3^{3} \cdot 5^{3} \cdot 7^{7} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$420$	$2$	$0$	$1.100510341$	$1$		$4$	$59222016$	$3.319736$	$-40112221740049/44471322000$	$0.95630$	$4.84048$	$[0, 1, 0, -21802256, 66900743700]$	\(y^2=x^3+x^2-21802256x+66900743700\)	420.2.0.?	$[(-5684, 84966)]$