Elliptic curve search results

Results (19 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
2046.c1	2046b1	2046.c	2046b	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{10} \cdot 3^{11} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$8184$	$12$	$0$	$2.669723862$	$1$		$5$	$7040$	$1.340952$	$7219775199978393625/1917563839488$	$0.99118$	$5.69588$	$[1, 1, 0, -40265, 3092421]$	\(y^2+xy=x^3+x^2-40265x+3092421\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(82, 551)]$
6138.k1	6138l1	6138.k	6138l	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{10} \cdot 3^{17} \cdot 11 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$56320$	$1.890259$	$7219775199978393625/1917563839488$	$0.99118$	$5.73419$	$[1, -1, 1, -362390, -83857755]$	\(y^2+xy+y=x^3-x^2-362390x-83857755\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
16368.t1	16368s1	16368.t	16368s	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{11} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1.347262256$	$1$		$7$	$168960$	$2.034100$	$7219775199978393625/1917563839488$	$0.99118$	$5.33244$	$[0, 1, 0, -644248, -199203436]$	\(y^2=x^3+x^2-644248x-199203436\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(-460, 162)]$
22506.y1	22506ba1	22506.y	22506ba	$2$	$2$	\( 2 \cdot 3 \cdot 11^{2} \cdot 31 \)	\( 2^{10} \cdot 3^{11} \cdot 11^{7} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$844800$	$2.539902$	$7219775199978393625/1917563839488$	$0.99118$	$5.76865$	$[1, 1, 1, -4872128, -4140372895]$	\(y^2+xy+y=x^3+x^2-4872128x-4140372895\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
49104.t1	49104bm1	49104.t	49104bm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{17} \cdot 11 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$1351680$	$2.583405$	$7219775199978393625/1917563839488$	$0.99118$	$5.40034$	$[0, 0, 0, -5798235, 5372694538]$	\(y^2=x^3-5798235x+5372694538\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
51150.cb1	51150cq1	51150.cb	51150cq	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$0.258224194$	$1$		$15$	$1013760$	$2.145672$	$7219775199978393625/1917563839488$	$0.99118$	$4.89554$	$[1, 0, 0, -1006638, 388565892]$	\(y^2+xy=x^3-1006638x+388565892\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(696, 4674)]$
63426.n1	63426j1	63426.n	63426j	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 31^{2} \)	\( 2^{10} \cdot 3^{11} \cdot 11 \cdot 31^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$5.160502535$	$1$		$1$	$6758400$	$3.057945$	$7219775199978393625/1917563839488$	$0.99118$	$5.79033$	$[1, 0, 1, -38695166, -92629349008]$	\(y^2+xy+y=x^3-38695166x-92629349008\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(93723/2, 27461987/2)]$
65472.r1	65472br1	65472.r	65472br	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{28} \cdot 3^{11} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$15.93460456$	$1$		$1$	$1351680$	$2.380672$	$7219775199978393625/1917563839488$	$0.99118$	$5.04086$	$[0, -1, 0, -2576993, -1591050495]$	\(y^2=x^3-x^2-2576993x-1591050495\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(-60543413/257, 5285145524/257)]$
65472.cf1	65472r1	65472.cf	65472r	$2$	$2$	\( 2^{6} \cdot 3 \cdot 11 \cdot 31 \)	\( 2^{28} \cdot 3^{11} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1.504245517$	$1$		$5$	$1351680$	$2.380672$	$7219775199978393625/1917563839488$	$0.99118$	$5.04086$	$[0, 1, 0, -2576993, 1591050495]$	\(y^2=x^3+x^2-2576993x+1591050495\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(946, 837)]$
67518.k1	67518s1	67518.k	67518s	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 31 \)	\( 2^{10} \cdot 3^{17} \cdot 11^{7} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$6758400$	$3.089207$	$7219775199978393625/1917563839488$	$0.99118$	$5.79150$	$[1, -1, 0, -43849152, 111746219008]$	\(y^2+xy=x^3-x^2-43849152x+111746219008\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
100254.u1	100254w1	100254.u	100254w	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \cdot 31 \)	\( 2^{10} \cdot 3^{11} \cdot 7^{6} \cdot 11 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$2027520$	$2.313908$	$7219775199978393625/1917563839488$	$0.99118$	$4.78477$	$[1, 0, 1, -1973011, -1066619410]$	\(y^2+xy+y=x^3-1973011x-1066619410\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
153450.c1	153450cr1	153450.c	153450cr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 31 \)	\( 2^{10} \cdot 3^{17} \cdot 5^{6} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$8.482298844$	$1$		$3$	$8110080$	$2.694977$	$7219775199978393625/1917563839488$	$0.99118$	$4.99715$	$[1, -1, 0, -9059742, -10491279084]$	\(y^2+xy=x^3-x^2-9059742x-10491279084\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(78915, 22112724)]$
180048.cs1	180048n1	180048.cs	180048n	$2$	$2$	\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 31 \)	\( 2^{22} \cdot 3^{11} \cdot 11^{7} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$20275200$	$3.233047$	$7219775199978393625/1917563839488$	$0.99118$	$5.46472$	$[0, 1, 0, -77954048, 264827957172]$	\(y^2=x^3+x^2-77954048x+264827957172\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
190278.bh1	190278i1	190278.bh	190278i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 11 \cdot 31^{2} \)	\( 2^{10} \cdot 3^{17} \cdot 11 \cdot 31^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$8.509302639$	$1$		$1$	$54067200$	$3.607254$	$7219775199978393625/1917563839488$	$0.99118$	$5.80928$	$[1, -1, 1, -348256490, 2500992423209]$	\(y^2+xy+y=x^3-x^2-348256490x+2500992423209\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(270823/11, 1750548309/11)]$
196416.bv1	196416w1	196416.bv	196416w	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{28} \cdot 3^{17} \cdot 11 \cdot 31^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$3.344128724$	$1$		$3$	$10813440$	$2.929981$	$7219775199978393625/1917563839488$	$0.99118$	$5.12732$	$[0, 0, 0, -23192940, 42981556304]$	\(y^2=x^3-23192940x+42981556304\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[(79546, 22394880)]$
196416.cu1	196416dd1	196416.cu	196416dd	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 31 \)	\( 2^{28} \cdot 3^{17} \cdot 11 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$16$	$2$	$1$	$10813440$	$2.929981$	$7219775199978393625/1917563839488$	$0.99118$	$5.12732$	$[0, 0, 0, -23192940, -42981556304]$	\(y^2=x^3-23192940x-42981556304\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
300762.eh1	300762eh1	300762.eh	300762eh	$2$	$2$	\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 11 \cdot 31 \)	\( 2^{10} \cdot 3^{17} \cdot 7^{6} \cdot 11 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$16220160$	$2.863213$	$7219775199978393625/1917563839488$	$0.99118$	$4.89061$	$[1, -1, 1, -17757095, 28798724063]$	\(y^2+xy+y=x^3-x^2-17757095x+28798724063\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
345774.bg1	345774bg1	345774.bg	345774bg	$2$	$2$	\( 2 \cdot 3 \cdot 11 \cdot 13^{2} \cdot 31 \)	\( 2^{10} \cdot 3^{11} \cdot 11 \cdot 13^{6} \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$1$		$1$	$16220160$	$2.623428$	$7219775199978393625/1917563839488$	$0.99118$	$4.61151$	$[1, 1, 1, -6804873, 6828073143]$	\(y^2+xy+y=x^3+x^2-6804873x+6828073143\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$
409200.dl1	409200dl1	409200.dl	409200dl	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 31 \)	\( 2^{22} \cdot 3^{11} \cdot 5^{6} \cdot 11 \cdot 31^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$8184$	$12$	$0$	$1$	$9$	$3$	$1$	$24330240$	$2.838818$	$7219775199978393625/1917563839488$	$0.99118$	$4.75143$	$[0, -1, 0, -16106208, -24868217088]$	\(y^2=x^3-x^2-16106208x-24868217088\)	2.3.0.a.1, 66.6.0.a.1, 248.6.0.?, 8184.12.0.?	$[ ]$

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