Elliptic curve search results

Results (19 matches)

 

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
1003.d1	1003d1	1003.d	1003d	$1$	$1$	\( 17 \cdot 59 \)	\( - 17 \cdot 59^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$	✓					$2006$	$2$	$0$	$0.545993865$	$1$		$0$	$180$	$-0.038056$	$-7622111232/3491443$	$0.84891$	$3.37697$	$[0, 0, 1, -41, 135]$	\(y^2+y=x^3-41x+135\)	2006.2.0.?	$[(9/2, 55/2)]$
9027.a1	9027a1	9027.a	9027a	$1$	$1$	\( 3^{2} \cdot 17 \cdot 59 \)	\( - 3^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$5760$	$0.511250$	$-7622111232/3491443$	$0.84891$	$3.28603$	$[0, 0, 1, -369, -3652]$	\(y^2+y=x^3-369x-3652\)	2006.2.0.?	$[]$
16048.n1	16048w1	16048.n	16048w	$1$	$1$	\( 2^{4} \cdot 17 \cdot 59 \)	\( - 2^{12} \cdot 17 \cdot 59^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$10.11253152$	$1$		$0$	$7200$	$0.655091$	$-7622111232/3491443$	$0.84891$	$3.26903$	$[0, 0, 0, -656, -8656]$	\(y^2=x^3-656x-8656\)	2006.2.0.?	$[(16273/23, 201335/23)]$
17051.d1	17051d1	17051.d	17051d	$1$	$1$	\( 17^{2} \cdot 59 \)	\( - 17^{7} \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$51840$	$1.378551$	$-7622111232/3491443$	$0.84891$	$4.13966$	$[0, 0, 1, -11849, 664483]$	\(y^2+y=x^3-11849x+664483\)	2006.2.0.?	$[]$
25075.c1	25075f1	25075.c	25075f	$1$	$1$	\( 5^{2} \cdot 17 \cdot 59 \)	\( - 5^{6} \cdot 17 \cdot 59^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$0.674918375$	$1$		$12$	$23040$	$0.766663$	$-7622111232/3491443$	$0.84891$	$3.25718$	$[0, 0, 1, -1025, 16906]$	\(y^2+y=x^3-1025x+16906\)	2006.2.0.?	$[(85, 737), (1585/6, 51517/6)]$
49147.g1	49147b1	49147.g	49147b	$1$	$1$	\( 7^{2} \cdot 17 \cdot 59 \)	\( - 7^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$4$	$2$	$0$	$64800$	$0.934899$	$-7622111232/3491443$	$0.84891$	$3.24116$	$[0, 0, 1, -2009, -46391]$	\(y^2+y=x^3-2009x-46391\)	2006.2.0.?	$[]$
59177.a1	59177e1	59177.a	59177e	$1$	$1$	\( 17 \cdot 59^{2} \)	\( - 17 \cdot 59^{9} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$5.703531853$	$1$		$0$	$626400$	$2.000713$	$-7622111232/3491443$	$0.84891$	$4.35032$	$[0, 0, 1, -142721, -27777510]$	\(y^2+y=x^3-142721x-27777510\)	2006.2.0.?	$[(11859/5, 419398/5)]$
64192.bm1	64192r1	64192.bm	64192r	$1$	$1$	\( 2^{6} \cdot 17 \cdot 59 \)	\( - 2^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$14400$	$0.308517$	$-7622111232/3491443$	$0.84891$	$2.48394$	$[0, 0, 0, -164, 1082]$	\(y^2=x^3-164x+1082\)	2006.2.0.?	$[]$
64192.bn1	64192co1	64192.bn	64192co	$1$	$1$	\( 2^{6} \cdot 17 \cdot 59 \)	\( - 2^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$14400$	$0.308517$	$-7622111232/3491443$	$0.84891$	$2.48394$	$[0, 0, 0, -164, -1082]$	\(y^2=x^3-164x-1082\)	2006.2.0.?	$[]$
121363.a1	121363f1	121363.a	121363f	$1$	$1$	\( 11^{2} \cdot 17 \cdot 59 \)	\( - 11^{6} \cdot 17 \cdot 59^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$2.301816097$	$1$		$2$	$243000$	$1.160892$	$-7622111232/3491443$	$0.84891$	$3.22254$	$[0, 0, 1, -4961, -180018]$	\(y^2+y=x^3-4961x-180018\)	2006.2.0.?	$[(108, 737)]$
144432.bo1	144432x1	144432.bo	144432x	$1$	$1$	\( 2^{4} \cdot 3^{2} \cdot 17 \cdot 59 \)	\( - 2^{12} \cdot 3^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$230400$	$1.204397$	$-7622111232/3491443$	$0.84891$	$3.21928$	$[0, 0, 0, -5904, 233712]$	\(y^2=x^3-5904x+233712\)	2006.2.0.?	$[]$
153459.a1	153459a1	153459.a	153459a	$1$	$1$	\( 3^{2} \cdot 17^{2} \cdot 59 \)	\( - 3^{6} \cdot 17^{7} \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$1658880$	$1.927856$	$-7622111232/3491443$	$0.84891$	$3.92996$	$[0, 0, 1, -106641, -17941048]$	\(y^2+y=x^3-106641x-17941048\)	2006.2.0.?	$[]$
169507.a1	169507a1	169507.a	169507a	$1$	$1$	\( 13^{2} \cdot 17 \cdot 59 \)	\( - 13^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$388800$	$1.244419$	$-7622111232/3491443$	$0.84891$	$3.21636$	$[0, 0, 1, -6929, 297144]$	\(y^2+y=x^3-6929x+297144\)	2006.2.0.?	$[]$
225675.bo1	225675bo1	225675.bo	225675bo	$1$	$1$	\( 3^{2} \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 3^{6} \cdot 5^{6} \cdot 17 \cdot 59^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$18.23798340$	$1$		$0$	$737280$	$1.315969$	$-7622111232/3491443$	$0.84891$	$3.21134$	$[0, 0, 1, -9225, -456469]$	\(y^2+y=x^3-9225x-456469\)	2006.2.0.?	$[(306098545/1366, 3984067137227/1366)]$
272816.bb1	272816bb1	272816.bb	272816bb	$1$	$1$	\( 2^{4} \cdot 17^{2} \cdot 59 \)	\( - 2^{12} \cdot 17^{7} \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$1$		$0$	$2073600$	$2.071697$	$-7622111232/3491443$	$0.84891$	$3.88721$	$[0, 0, 0, -189584, -42526928]$	\(y^2=x^3-189584x-42526928\)	2006.2.0.?	$[]$
362083.a1	362083a1	362083.a	362083a	$1$	$1$	\( 17 \cdot 19^{2} \cdot 59 \)	\( - 17 \cdot 19^{6} \cdot 59^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$9.648052480$	$1$		$0$	$1292760$	$1.434164$	$-7622111232/3491443$	$0.84891$	$3.20353$	$[0, 0, 1, -14801, -927680]$	\(y^2+y=x^3-14801x-927680\)	2006.2.0.?	$[(11824/7, 1059897/7)]$
401200.bs1	401200bs1	401200.bs	401200bs	$1$	$1$	\( 2^{4} \cdot 5^{2} \cdot 17 \cdot 59 \)	\( - 2^{12} \cdot 5^{6} \cdot 17 \cdot 59^{3} \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$1$	$4$	$2$	$0$	$921600$	$1.459810$	$-7622111232/3491443$	$0.84891$	$3.20191$	$[0, 0, 0, -16400, -1082000]$	\(y^2=x^3-16400x-1082000\)	2006.2.0.?	$[]$
426275.b1	426275b1	426275.b	426275b	$1$	$1$	\( 5^{2} \cdot 17^{2} \cdot 59 \)	\( - 5^{6} \cdot 17^{7} \cdot 59^{3} \)	$2$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$2.387209906$	$1$		$8$	$6635520$	$2.183270$	$-7622111232/3491443$	$0.84891$	$3.85666$	$[0, 0, 1, -296225, 83060406]$	\(y^2+y=x^3-296225x+83060406\)	2006.2.0.?	$[(-561, 8525), (595, 10837)]$
442323.a1	442323a1	442323.a	442323a	$1$	$1$	\( 3^{2} \cdot 7^{2} \cdot 17 \cdot 59 \)	\( - 3^{6} \cdot 7^{6} \cdot 17 \cdot 59^{3} \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$2006$	$2$	$0$	$0.585007064$	$1$		$4$	$2073600$	$1.484205$	$-7622111232/3491443$	$0.84891$	$3.20040$	$[0, 0, 1, -18081, 1252550]$	\(y^2+y=x^3-18081x+1252550\)	2006.2.0.?	$[(-56, 1445)]$