Elliptic curve search results

Results (15 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	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	Weierstrass coefficients	Weierstrass equation
4641.a1	4641f1	4641.a	4641f	$1$	$1$	\( 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$0.748684411$	$1$		$4$	$2208$	$0.138159$	$-325660672/40000779$	$[0, 1, 1, -14, -310]$	\(y^2+y=x^3+x^2-14x-310\)
13923.l1	13923k1	13923.l	13923k	$1$	$1$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$17664$	$0.687466$	$-325660672/40000779$	$[0, 0, 1, -129, 8235]$	\(y^2+y=x^3-129x+8235\)
32487.a1	32487i1	32487.a	32487i	$1$	$1$	\( 3 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 7^{7} \cdot 13^{3} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.099161187$	$1$		$32$	$105984$	$1.111115$	$-325660672/40000779$	$[0, -1, 1, -702, 104852]$	\(y^2+y=x^3-x^2-702x+104852\)
60333.p1	60333j1	60333.p	60333j	$1$	$1$	\( 3 \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 3^{2} \cdot 7 \cdot 13^{9} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$370944$	$1.420633$	$-325660672/40000779$	$[0, 1, 1, -2422, -670913]$	\(y^2+y=x^3+x^2-2422x-670913\)
74256.bs1	74256bj1	74256.bs	74256bj	$1$	$1$	\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$88320$	$0.831306$	$-325660672/40000779$	$[0, -1, 0, -229, 19597]$	\(y^2=x^3-x^2-229x+19597\)
78897.a1	78897a1	78897.a	78897a	$1$	$1$	\( 3 \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 3^{2} \cdot 7 \cdot 13^{3} \cdot 17^{8} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2.342159669$	$1$		$2$	$635904$	$1.554766$	$-325660672/40000779$	$[0, -1, 1, -4142, -1497130]$	\(y^2+y=x^3-x^2-4142x-1497130\)
97461.y1	97461s1	97461.y	97461s	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 7^{7} \cdot 13^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$847872$	$1.660421$	$-325660672/40000779$	$[0, 0, 1, -6321, -2824691]$	\(y^2+y=x^3-6321x-2824691\)
116025.bt1	116025h1	116025.bt	116025h	$1$	$1$	\( 3 \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 5^{6} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1.857057284$	$1$		$0$	$238464$	$0.942879$	$-325660672/40000779$	$[0, -1, 1, -358, -38007]$	\(y^2+y=x^3-x^2-358x-38007\)
180999.c1	180999c1	180999.c	180999c	$1$	$1$	\( 3^{2} \cdot 7 \cdot 13^{2} \cdot 17 \)	\( - 3^{8} \cdot 7 \cdot 13^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.870141848$	$1$		$4$	$2967552$	$1.969940$	$-325660672/40000779$	$[0, 0, 1, -21801, 18092844]$	\(y^2+y=x^3-21801x+18092844\)
222768.i1	222768j1	222768.i	222768j	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{8} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$706560$	$1.380613$	$-325660672/40000779$	$[0, 0, 0, -2064, -527056]$	\(y^2=x^3-2064x-527056\)
236691.bc1	236691bc1	236691.bc	236691bc	$1$	$1$	\( 3^{2} \cdot 7 \cdot 13 \cdot 17^{2} \)	\( - 3^{8} \cdot 7 \cdot 13^{3} \cdot 17^{8} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$1$	$1$		$0$	$5087232$	$2.104073$	$-325660672/40000779$	$[0, 0, 1, -37281, 40459783]$	\(y^2+y=x^3-37281x+40459783\)
297024.k1	297024k1	297024.k	297024k	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{2} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.720463005$	$1$		$2$	$176640$	$0.484733$	$-325660672/40000779$	$[0, -1, 0, -57, -2421]$	\(y^2=x^3-x^2-57x-2421\)
297024.eb1	297024eb1	297024.eb	297024eb	$1$	$1$	\( 2^{6} \cdot 3 \cdot 7 \cdot 13 \cdot 17 \)	\( - 2^{6} \cdot 3^{2} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.930033883$	$1$		$6$	$176640$	$0.484733$	$-325660672/40000779$	$[0, 1, 0, -57, 2421]$	\(y^2=x^3+x^2-57x+2421\)
348075.f1	348075f1	348075.f	348075f	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{6} \cdot 7 \cdot 13^{3} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$0.870578516$	$1$		$4$	$1907712$	$1.492184$	$-325660672/40000779$	$[0, 0, 1, -3225, 1029406]$	\(y^2+y=x^3-3225x+1029406\)
422331.bz1	422331bz1	422331.bz	422331bz	$1$	$1$	\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \)	\( - 3^{2} \cdot 7^{7} \cdot 13^{9} \cdot 17^{2} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$7.492930842$	$1$		$0$	$17805312$	$2.393589$	$-325660672/40000779$	$[0, -1, 1, -118694, 229885697]$	\(y^2+y=x^3-x^2-118694x+229885697\)