Elliptic curve search results

Results (16 matches)

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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
9225.l1	9225l1	9225.l	9225l	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 3^{9} \cdot 5^{8} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$3.047755161$	$1$		$2$	$277200$	$2.742737$	$2813708206080/194754273881$	$1.19947$	$6.15623$	$[0, 0, 1, 580500, -1853976094]$	\(y^2+y=x^3+580500x-1853976094\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(21294, 3109009)]$
9225.m1	9225i1	9225.m	9225i	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 3^{3} \cdot 5^{8} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$1$		$0$	$92400$	$2.193432$	$2813708206080/194754273881$	$1.19947$	$5.43422$	$[0, 0, 1, 64500, 68665781]$	\(y^2+y=x^3+64500x+68665781\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
9225.s1	9225a1	9225.s	9225a	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 3^{3} \cdot 5^{2} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$4.315486438$	$1$		$2$	$18480$	$1.388714$	$2813708206080/194754273881$	$1.19947$	$4.37650$	$[0, 0, 1, 2580, 549326]$	\(y^2+y=x^3+2580x+549326\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(-6, 730)]$
9225.t1	9225e1	9225.t	9225e	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 3^{9} \cdot 5^{2} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$1$		$0$	$55440$	$1.938019$	$2813708206080/194754273881$	$1.19947$	$5.09851$	$[0, 0, 1, 23220, -14831809]$	\(y^2+y=x^3+23220x-14831809\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
147600.cb1	147600dp1	147600.cb	147600dp	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$1$		$0$	$1330560$	$2.081860$	$2813708206080/194754273881$	$1.19947$	$4.05585$	$[0, 0, 0, 41280, -35156880]$	\(y^2=x^3+41280x-35156880\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
147600.cc1	147600dq1	147600.cc	147600dq	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$3.939962731$	$1$		$2$	$3991680$	$2.631168$	$2813708206080/194754273881$	$1.19947$	$4.60967$	$[0, 0, 0, 371520, 949235760]$	\(y^2=x^3+371520x+949235760\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(5769, 441693)]$
147600.fb1	147600dd1	147600.fb	147600dd	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{12} \cdot 3^{9} \cdot 5^{8} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$1$		$0$	$19958400$	$3.435886$	$2813708206080/194754273881$	$1.19947$	$5.42100$	$[0, 0, 0, 9288000, 118654470000]$	\(y^2=x^3+9288000x+118654470000\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
147600.fc1	147600de1	147600.fc	147600de	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 41 \)	\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$20.37840000$	$1$		$0$	$6652800$	$2.886581$	$2813708206080/194754273881$	$1.19947$	$4.86718$	$[0, 0, 0, 1032000, -4394610000]$	\(y^2=x^3+1032000x-4394610000\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(5824612425/1943, 216375932881725/1943)]$
378225.bd1	378225bd1	378225.bd	378225bd	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41^{2} \)	\( - 3^{9} \cdot 5^{2} \cdot 41^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$24.84420364$	$1$		$0$	$93139200$	$3.794807$	$2813708206080/194754273881$	$1.19947$	$5.35917$	$[0, 0, 1, 39032820, -1022223090859]$	\(y^2+y=x^3+39032820x-1022223090859\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(190294878249/4169, 61381718401985150/4169)]$
378225.be1	378225be1	378225.be	378225be	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41^{2} \)	\( - 3^{3} \cdot 5^{2} \cdot 41^{13} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$9.213719040$	$1$		$0$	$31046400$	$3.245499$	$2813708206080/194754273881$	$1.19947$	$4.84593$	$[0, 0, 1, 4336980, 37860114476]$	\(y^2+y=x^3+4336980x+37860114476\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(-51256724/227, 2110720349377/227)]$
378225.bm1	378225bm1	378225.bm	378225bm	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41^{2} \)	\( - 3^{3} \cdot 5^{8} \cdot 41^{13} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$18.98522426$	$1$		$2$	$155232000$	$4.050217$	$2813708206080/194754273881$	$1.19947$	$5.59781$	$[0, 0, 1, 108424500, 4732514309531]$	\(y^2+y=x^3+108424500x+4732514309531\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(3674625/22, 26067639901/22), (-49545425/61, 218678465897/61)]$
378225.bn1	378225bn1	378225.bn	378225bn	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 41^{2} \)	\( - 3^{9} \cdot 5^{8} \cdot 41^{13} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$49$	$7$	$0$	$465696000$	$4.599525$	$2813708206080/194754273881$	$1.19947$	$6.11106$	$[0, 0, 1, 975820500, -127777886357344]$	\(y^2+y=x^3+975820500x-127777886357344\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
452025.dg1	452025dg1	452025.dg	452025dg	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \)	\( - 3^{9} \cdot 5^{2} \cdot 7^{6} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$1$		$0$	$19958400$	$2.910976$	$2813708206080/194754273881$	$1.19947$	$4.47131$	$[0, 0, 1, 1137780, 5087310401]$	\(y^2+y=x^3+1137780x+5087310401\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
452025.dh1	452025dh1	452025.dh	452025dh	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \)	\( - 3^{3} \cdot 5^{2} \cdot 7^{6} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1.921849289$	$1$		$0$	$6652800$	$2.361668$	$2813708206080/194754273881$	$1.19947$	$3.96510$	$[0, 0, 1, 126420, -188418904]$	\(y^2+y=x^3+126420x-188418904\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(46809/2, 10131383/2)]$
452025.dm1	452025dm1	452025.dm	452025dm	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \)	\( - 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 41^{7} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$1$	$1$		$0$	$33264000$	$3.166386$	$2813708206080/194754273881$	$1.19947$	$4.70669$	$[0, 0, 1, 3160500, -23552362969]$	\(y^2+y=x^3+3160500x-23552362969\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[ ]$
452025.dn1	452025dn1	452025.dn	452025dn	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 41 \)	\( - 3^{9} \cdot 5^{8} \cdot 7^{6} \cdot 41^{7} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$			$7$	7.28.0.1	7Ns	$1722$	$112$	$5$	$12.92160621$	$1$		$0$	$99792000$	$3.715694$	$2813708206080/194754273881$	$1.19947$	$5.21290$	$[0, 0, 1, 28444500, 635913800156]$	\(y^2+y=x^3+28444500x+635913800156\)	7.28.0.a.1, 21.56.1.a.1, 246.2.0.?, 574.56.1.?, 1722.112.5.?	$[(11390526/23, 40775713205/23)]$

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