Elliptic curve search results

Results (13 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	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
9690.x2	9690t1	9690.x	9690t	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$806400$	$2.950047$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$7.15511$	$1$	$[1, 0, 0, -67032405, 211234007265]$	\(y^2+xy=x^3-67032405x+211234007265\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
29070.f2	29070i1	29070.f	29070i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17 \cdot 19 \)	\( - 2^{30} \cdot 3^{7} \cdot 5 \cdot 17^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$33.22269012$	$1$		$1$	$6451200$	$3.499352$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$7.03163$	$1$	$[1, -1, 0, -603291645, -5703318196155]$	\(y^2+xy=x^3-x^2-603291645x-5703318196155\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(4335606484937973/46091, 285358667106412949103144/46091)]$	$1$
48450.e2	48450f1	48450.e	48450f	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \)	\( - 2^{30} \cdot 3 \cdot 5^{7} \cdot 17^{2} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$19353600$	$3.754765$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.98278$	$1$	$[1, 1, 0, -1675810125, 26404250908125]$	\(y^2+xy=x^3+x^2-1675810125x+26404250908125\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
77520.v2	77520bt1	77520.v	77520bt	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( - 2^{42} \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$19353600$	$3.643192$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.57235$	$1$	$[0, -1, 0, -1072518480, -13518976464960]$	\(y^2=x^3-x^2-1072518480x-13518976464960\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
145350.cv2	145350t1	145350.cv	145350t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 17 \cdot 19 \)	\( - 2^{30} \cdot 3^{7} \cdot 5^{7} \cdot 17^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$5.056519730$	$1$		$5$	$154828800$	$4.304070$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.89195$	$1$	$[1, -1, 1, -15082291130, -712929856810503]$	\(y^2+xy+y=x^3-x^2-15082291130x-712929856810503\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(510449, 352717575)]$	$1$
164730.ce2	164730z1	164730.ce	164730z	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19 \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 17^{8} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$232243200$	$4.366653$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.88266$	$1$	$[1, 1, 1, -19372365051, 1037812050057993]$	\(y^2+xy+y=x^3+x^2-19372365051x+1037812050057993\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
184110.m2	184110bt1	184110.m	184110bt	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 17 \cdot 19^{2} \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19^{10} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$240.7194661$	$1$		$1$	$290304000$	$4.422264$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.87456$	$1$	$[1, 1, 0, -24198698212, -1448902453227056]$	\(y^2+xy=x^3+x^2-24198698212x-1448902453227056\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(96997456938981623501160905219690496685732799126457746649783606609061983118838317922859287259069198127330275/569037200642963086529342691132444064219052142614509, 24818174763339656053504740783543310046105995529343597497912628044870825262158396277635576037316035619944342849559955476047934683048614514845578592155142236393577/569037200642963086529342691132444064219052142614509)]$	$1$
232560.bb2	232560bb1	232560.bb	232560bb	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 17 \cdot 19 \)	\( - 2^{42} \cdot 3^{7} \cdot 5 \cdot 17^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$8.133335131$	$1$		$1$	$154828800$	$4.192497$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.52146$	$1$	$[0, 0, 0, -9652666323, 365022017220242]$	\(y^2=x^3-9652666323x+365022017220242\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(9588023/13, 10768174/13)]$	$1$
310080.bj2	310080bj1	310080.bj	310080bj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( - 2^{48} \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19^{4} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$1$	$1$		$1$	$154828800$	$3.989765$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.18069$	$1$	$[0, -1, 0, -4290073921, 108156101793601]$	\(y^2=x^3-x^2-4290073921x+108156101793601\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[ ]$	$1$
310080.ep2	310080ep1	310080.ep	310080ep	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 17 \cdot 19 \)	\( - 2^{48} \cdot 3 \cdot 5 \cdot 17^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$211.3092497$	$1$		$1$	$154828800$	$3.989765$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.18069$	$1$	$[0, 1, 0, -4290073921, -108156101793601]$	\(y^2=x^3+x^2-4290073921x-108156101793601\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(7570399270915906448476848107144149147430133729938235849744261922624994101292112077067388006105/209822184839208933728189446545718359677368853, 601407605591592637412525355234162605986517377327155670130668511871040081854112966126130411521504376501568707759458735743723809101314638059104/209822184839208933728189446545718359677368853)]$	$1$
387600.fp2	387600fp1	387600.fp	387600fp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 17 \cdot 19 \)	\( - 2^{42} \cdot 3 \cdot 5^{7} \cdot 17^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$98.44278357$	$1$		$1$	$464486400$	$4.447914$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.50076$	$1$	$[0, 1, 0, -26812962008, -1689925684044012]$	\(y^2=x^3+x^2-26812962008x-1689925684044012\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(397371602838846365566005096492442545743102044/17121832373455533615, 7860561917702581417224021746084167022881049461370663833042425324722/17121832373455533615)]$	$1$
474810.dq2	474810dq1	474810.dq	474810dq	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \cdot 19 \)	\( - 2^{30} \cdot 3 \cdot 5 \cdot 7^{6} \cdot 17^{2} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$8.922172030$	$1$		$3$	$290304000$	$3.923000$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$5.91792$	$1$	$[1, 1, 1, -3284587846, -72456549079741]$	\(y^2+xy+y=x^3+x^2-3284587846x-72456549079741\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(1708461, 2230970623)]$	$1$
494190.bv2	494190bv1	494190.bv	494190bv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 17^{2} \cdot 19 \)	\( - 2^{30} \cdot 3^{7} \cdot 5 \cdot 17^{8} \cdot 19^{4} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2040$	$12$	$0$	$241.4257742$	$1$		$1$	$1857945600$	$4.915955$	$-33310267215676521662102631121/606601354244259840$	$1.02765$	$6.80870$	$1$	$[1, -1, 0, -174351285459, -28021099702851275]$	\(y^2+xy=x^3-x^2-174351285459x-28021099702851275\)	2.3.0.a.1, 30.6.0.a.1, 136.6.0.?, 2040.12.0.?	$[(107381753146821417193384992745677711150124884044751340615232509038251421077383076678500964305026604270822169/414621384896997825675406469955137070716374957858256, 23270135573267670367335564378623495421098668335030140994456596807931295316397896388612812404458111551005939968544382926045427373611780661847479232806165282154357/414621384896997825675406469955137070716374957858256)]$	$1$

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