Elliptic curve search results

Results (10 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
27930.x1	27930r1	27930.x	27930r	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{5} \cdot 5 \cdot 7^{9} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$255.6865751$	$1$		$0$	$957640320$	$5.938721$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$9.61460$	$[1, 1, 0, -3695905122277, 2735775223839669901]$	\(y^2+xy=x^3+x^2-3695905122277x+2735775223839669901\)	15960.2.0.?	$[(-9331316561601011056892159080465522987909459856960441495224996454417487428210705334148599970072736589726425197311/89886096315316163999821419499103905570053417425893435, 1697973720910775418043835076714831019974976861259144190351137597550142955438711841484590654311271500350820529229049809831062959600054494514301135058071065270390126214467/89886096315316163999821419499103905570053417425893435)]$
27930.bi1	27930bj1	27930.bi	27930bj	$1$	$1$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{5} \cdot 5 \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$49$	$7$	$0$	$136805760$	$4.965767$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$8.47413$	$[1, 0, 1, -75426635149, -7976031835990648]$	\(y^2+xy+y=x^3-75426635149x-7976031835990648\)	15960.2.0.?	$[ ]$
83790.ct1	83790dz1	83790.ct	83790dz	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{11} \cdot 5 \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$7661122560$	$6.488029$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$9.26430$	$[1, -1, 1, -33263146100498, -73865964306817187823]$	\(y^2+xy+y=x^3-x^2-33263146100498x-73865964306817187823\)	15960.2.0.?	$[ ]$
83790.ep1	83790ft1	83790.ep	83790ft	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{11} \cdot 5 \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$1094446080$	$5.515076$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$8.23436$	$[1, -1, 1, -678839716337, 215352859571747489]$	\(y^2+xy+y=x^3-x^2-678839716337x+215352859571747489\)	15960.2.0.?	$[ ]$
139650.gr1	139650eu1	139650.gr	139650eu	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{5} \cdot 5^{7} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$4$	$2$	$0$	$3283338240$	$5.770485$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$8.13802$	$[1, 1, 1, -1885665878713, -997003979498830969]$	\(y^2+xy+y=x^3+x^2-1885665878713x-997003979498830969\)	15960.2.0.?	$[ ]$
139650.jn1	139650co1	139650.jn	139650co	$1$	$1$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{5} \cdot 5^{7} \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$22983367680$	$6.743439$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$9.12354$	$[1, 0, 0, -92397628056938, 341972087775214851492]$	\(y^2+xy=x^3-92397628056938x+341972087775214851492\)	15960.2.0.?	$[ ]$
223440.d1	223440eg1	223440.d	223440eg	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{93} \cdot 3^{5} \cdot 5 \cdot 7^{3} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$85.72669742$	$1$		$0$	$3283338240$	$5.658913$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$7.71877$	$[0, -1, 0, -1206826162376, 510466037503401456]$	\(y^2=x^3-x^2-1206826162376x+510466037503401456\)	15960.2.0.?	$[(224332983649466121352351992418169672650/18168963527709191, 387691263516287029072050124399718466716377939974322324586/18168963527709191)]$
223440.fn1	223440d1	223440.fn	223440d	$1$	$1$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 19 \)	\( - 2^{93} \cdot 3^{5} \cdot 5 \cdot 7^{9} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$169$	$13$	$0$	$22983367680$	$6.631866$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$8.66670$	$[0, 1, 0, -59134481956440, -175089732594702786540]$	\(y^2=x^3+x^2-59134481956440x-175089732594702786540\)	15960.2.0.?	$[ ]$
418950.m1	418950m1	418950.m	418950m	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{11} \cdot 5^{7} \cdot 7^{3} \cdot 19 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$1$	$1$		$0$	$26266705920$	$6.319794$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$7.95657$	$[1, -1, 0, -16970992908417, 26919090475475527741]$	\(y^2+xy=x^3-x^2-16970992908417x+26919090475475527741\)	15960.2.0.?	$[ ]$
418950.s1	418950s1	418950.s	418950s	$1$	$1$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19 \)	\( - 2^{81} \cdot 3^{11} \cdot 5^{7} \cdot 7^{9} \cdot 19 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$15960$	$2$	$0$	$706.4359219$	$1$		$0$	$183866941440$	$7.292747$	$-138357846491853121383730987168838623/55816105091607428996184145920$	$1.08251$	$8.85847$	$[1, -1, 0, -831578652512442, -9233246369930800990284]$	\(y^2+xy=x^3-x^2-831578652512442x-9233246369930800990284\)	15960.2.0.?	$[(100932380270193181679971450326607094538836696166895716577718987675995171000014317494094185660916398946971501801153162194750835851944990135943381684092396788027891720906219725812958229455536946977487260211653285399773261075002928865788674172246824220901184241116045125670999513253428753422071138387815724864449/1569050404249125375095736607512147978860843607863882093713361901141778830791680719074496500700710843541836408142622651229727031056872364575581433888879, 617766452549134570663461623969918058272234465346004212805136058793638260073789927143630390673611324035605086835517676489066443593898734390026147486868067938181435489443938240399202272866186185165081468448458486566254529410138182058470537364776813441879649964810291403519809650488465440502131358413897949611740973685821892491895531381352824244599714264938164483973845893424812922088429148965984554981366228041509659733036063954936894229140435267764710803498636202/1569050404249125375095736607512147978860843607863882093713361901141778830791680719074496500700710843541836408142622651229727031056872364575581433888879)]$

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