Elliptic curve search results

Results (18 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
3315.c2	3315f2	3315.c	3315f	$2$	$2$	\( 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	4.6.0.5	2B	$26520$	$48$	$0$	$0.582412249$	$1$		$8$	$640$	$0.032832$	$1723683599/10989225$	$0.85519$	$2.90789$	$[1, 0, 0, 25, -150]$	\(y^2+xy=x^3+25x-150\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(7, 16)]$
9945.g2	9945e2	9945.g	9945e	$2$	$2$	\( 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$8840$	$48$	$0$	$1.150311033$	$1$		$4$	$5120$	$0.582138$	$1723683599/10989225$	$0.85519$	$3.27694$	$[1, -1, 0, 225, 4050]$	\(y^2+xy=x^3-x^2+225x+4050\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 4420.12.0.?, 8840.48.0.?	$[(10, 80)]$
16575.h2	16575c2	16575.h	16575c	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.283347749$	$1$		$4$	$15360$	$0.837551$	$1723683599/10989225$	$0.85519$	$3.42011$	$[1, 1, 0, 625, -18750]$	\(y^2+xy=x^3+x^2+625x-18750\)	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4420.12.0.?, 5304.12.0.?, $\ldots$	$[(50, 350)]$
43095.o2	43095k2	43095.o	43095k	$2$	$2$	\( 3 \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 3^{2} \cdot 5^{2} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$0$	$107520$	$1.315308$	$1723683599/10989225$	$0.85519$	$3.65112$	$[1, 0, 1, 4221, -333773]$	\(y^2+xy+y=x^3+4221x-333773\)	2.3.0.a.1, 4.6.0.a.1, 312.12.0.?, 2040.12.0.?, 4420.12.0.?, $\ldots$	$[ ]$
49725.h2	49725m2	49725.h	49725m	$2$	$2$	\( 3^{2} \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1.206920805$	$1$		$6$	$122880$	$1.386858$	$1723683599/10989225$	$0.85519$	$3.68220$	$[1, -1, 1, 5620, 511872]$	\(y^2+xy+y=x^3-x^2+5620x+511872\)	2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 1768.12.0.?, 4420.12.0.?, $\ldots$	$[(24, 800)]$
53040.bd2	53040br2	53040.bd	53040br	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$0.884196138$	$1$		$9$	$40960$	$0.725980$	$1723683599/10989225$	$0.85519$	$2.93137$	$[0, -1, 0, 400, 9600]$	\(y^2=x^3-x^2+400x+9600\)	2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(2, 102)]$
56355.c2	56355a2	56355.c	56355a	$2$	$2$	\( 3 \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.434543088$	$1$		$6$	$184320$	$1.449438$	$1723683599/10989225$	$0.85519$	$3.70872$	$[1, 1, 1, 7219, -744172]$	\(y^2+xy+y=x^3+x^2+7219x-744172\)	2.3.0.a.1, 4.6.0.a.1, 408.12.0.?, 1560.12.0.?, 4420.12.0.?, $\ldots$	$[(86, 679)]$
129285.h2	129285be2	129285.h	129285be	$2$	$2$	\( 3^{2} \cdot 5 \cdot 13^{2} \cdot 17 \)	\( - 3^{8} \cdot 5^{2} \cdot 13^{8} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$1$	$1$		$0$	$860160$	$1.864613$	$1723683599/10989225$	$0.85519$	$3.87037$	$[1, -1, 1, 37993, 9011864]$	\(y^2+xy+y=x^3-x^2+37993x+9011864\)	2.3.0.a.1, 4.6.0.a.1, 104.12.0.?, 680.12.0.?, 4420.12.0.?, $\ldots$	$[ ]$
159120.bq2	159120by2	159120.bq	159120by	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.12.0.37	2B	$8840$	$48$	$0$	$1$	$1$		$1$	$327680$	$1.275286$	$1723683599/10989225$	$0.85519$	$3.21283$	$[0, 0, 0, 3597, -262798]$	\(y^2=x^3+3597x-262798\)	2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 4420.12.0.?, 8840.48.0.?	$[ ]$
162435.q2	162435y2	162435.q	162435y	$2$	$2$	\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$185640$	$48$	$0$	$1.366752134$	$1$		$22$	$230400$	$1.005787$	$1723683599/10989225$	$0.85519$	$2.93777$	$[1, 1, 1, 1224, 52674]$	\(y^2+xy+y=x^3+x^2+1224x+52674\)	2.3.0.a.1, 4.6.0.a.1, 168.12.0.?, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(34, 350), (-11, 200)]$
169065.bk2	169065z2	169065.bk	169065z	$2$	$2$	\( 3^{2} \cdot 5 \cdot 13 \cdot 17^{2} \)	\( - 3^{8} \cdot 5^{2} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$8840$	$48$	$0$	$5.388454883$	$1$		$2$	$1474560$	$1.998745$	$1723683599/10989225$	$0.85519$	$3.91783$	$[1, -1, 0, 64971, 20157610]$	\(y^2+xy=x^3-x^2+64971x+20157610\)	2.3.0.a.1, 4.6.0.a.1, 136.12.0.?, 520.12.0.?, 4420.12.0.?, $\ldots$	$[(2174, 101054)]$
212160.o2	212160hf2	212160.o	212160hf	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.660514625$	$1$		$23$	$327680$	$1.072554$	$1723683599/10989225$	$0.85519$	$2.93912$	$[0, -1, 0, 1599, -78399]$	\(y^2=x^3-x^2+1599x-78399\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(65, 544), (33, 96)]$
212160.fi2	212160bt2	212160.fi	212160bt	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 13 \cdot 17 \)	\( - 2^{18} \cdot 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1$	$1$		$1$	$327680$	$1.072554$	$1723683599/10989225$	$0.85519$	$2.93912$	$[0, 1, 0, 1599, 78399]$	\(y^2=x^3+x^2+1599x+78399\)	2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[ ]$
215475.l2	215475t2	215475.l	215475t	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13^{2} \cdot 17 \)	\( - 3^{2} \cdot 5^{8} \cdot 13^{8} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$3.019778919$	$1$		$14$	$2580480$	$2.120026$	$1723683599/10989225$	$0.85519$	$3.95895$	$[1, 1, 1, 105537, -41721594]$	\(y^2+xy+y=x^3+x^2+105537x-41721594\)	2.3.0.a.1, 4.6.0.a.1, 408.12.0.?, 1560.12.0.?, 4420.12.0.?, $\ldots$	$[(304, 4157), (355, 6197)]$
265200.eu2	265200eu2	265200.eu	265200eu	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 13 \cdot 17 \)	\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$1.455139037$	$1$		$7$	$983040$	$1.530699$	$1723683599/10989225$	$0.85519$	$3.32684$	$[0, 1, 0, 9992, 1219988]$	\(y^2=x^3+x^2+9992x+1219988\)	2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 4420.12.0.?, 5304.12.0.?, $\ldots$	$[(-52, 750)]$
281775.bv2	281775bv2	281775.bv	281775bv	$2$	$2$	\( 3 \cdot 5^{2} \cdot 13 \cdot 17^{2} \)	\( - 3^{2} \cdot 5^{8} \cdot 13^{2} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$26520$	$48$	$0$	$5.507540529$	$1$		$0$	$4423680$	$2.254158$	$1723683599/10989225$	$0.85519$	$4.00258$	$[1, 0, 1, 180474, -93382427]$	\(y^2+xy+y=x^3+180474x-93382427\)	2.3.0.a.1, 4.6.0.a.1, 312.12.0.?, 2040.12.0.?, 4420.12.0.?, $\ldots$	$[(6913/3, 592492/3)]$
401115.br2	401115br2	401115.br	401115br	$2$	$2$	\( 3 \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17 \)	\( - 3^{2} \cdot 5^{2} \cdot 11^{6} \cdot 13^{2} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$291720$	$48$	$0$	$1$	$1$		$0$	$921600$	$1.231779$	$1723683599/10989225$	$0.85519$	$2.94213$	$[1, 0, 1, 3022, 202673]$	\(y^2+xy+y=x^3+3022x+202673\)	2.3.0.a.1, 4.6.0.a.1, 264.12.0.?, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[ ]$
487305.dq2	487305dq2	487305.dq	487305dq	$2$	$2$	\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 13 \cdot 17 \)	\( - 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	4.6.0.5	2B	$61880$	$48$	$0$	$5.752647201$	$1$		$2$	$1843200$	$1.555094$	$1723683599/10989225$	$0.85519$	$3.19464$	$[1, -1, 0, 11016, -1411187]$	\(y^2+xy=x^3-x^2+11016x-1411187\)	2.3.0.a.1, 4.6.0.a.1, 56.12.0-4.a.1.1, 4420.12.0.?, 8840.24.0.?, $\ldots$	$[(7884, 696121)]$

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