Elliptic curve search results

Results (8 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
17430.o1	17430o2	17430.o	17430o	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 83 \)	\( 2 \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	2.3.0.1	2B	$9960$	$12$	$0$	$0.472288295$	$1$		$8$	$30720$	$0.918427$	$3087199234101529/199326394890$	$0.90458$	$3.65208$	$[1, 0, 1, -3034, 60362]$	\(y^2+xy+y=x^3-3034x+60362\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[(58, 254)]$
52290.ck1	52290cr2	52290.ck	52290cr	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 83 \)	\( 2 \cdot 3^{16} \cdot 5 \cdot 7^{2} \cdot 83^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$1$	$4$	$2$	$0$	$245760$	$1.467733$	$3087199234101529/199326394890$	$0.90458$	$3.88950$	$[1, -1, 1, -27302, -1629781]$	\(y^2+xy+y=x^3-x^2-27302x-1629781\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[]$
87150.ca1	87150bz2	87150.ca	87150bz	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 83 \)	\( 2 \cdot 3^{10} \cdot 5^{7} \cdot 7^{2} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$2.230595196$	$1$		$0$	$737280$	$1.723146$	$3087199234101529/199326394890$	$0.90458$	$3.98428$	$[1, 1, 1, -75838, 7545281]$	\(y^2+xy+y=x^3+x^2-75838x+7545281\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[(-905/2, 29951/2)]$
122010.l1	122010k2	122010.l	122010k	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 83 \)	\( 2 \cdot 3^{10} \cdot 5 \cdot 7^{8} \cdot 83^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$1$	$4$	$2$	$0$	$1474560$	$1.891382$	$3087199234101529/199326394890$	$0.90458$	$4.04219$	$[1, 1, 0, -148642, -20852894]$	\(y^2+xy=x^3+x^2-148642x-20852894\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[]$
139440.c1	139440cj2	139440.c	139440cj	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 83 \)	\( 2^{13} \cdot 3^{10} \cdot 5 \cdot 7^{2} \cdot 83^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$4.198149470$	$1$		$3$	$737280$	$1.611574$	$3087199234101529/199326394890$	$0.90458$	$3.71316$	$[0, -1, 0, -48536, -3863184]$	\(y^2=x^3-x^2-48536x-3863184\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[(-102, 126)]$
261450.i1	261450i2	261450.i	261450i	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 83 \)	\( 2 \cdot 3^{16} \cdot 5^{7} \cdot 7^{2} \cdot 83^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$6.859698692$	$1$		$12$	$5898240$	$2.272453$	$3087199234101529/199326394890$	$0.90458$	$4.16180$	$[1, -1, 0, -682542, -204405134]$	\(y^2+xy=x^3-x^2-682542x-204405134\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[(989, 8843), (-505, 3614)]$
366030.en1	366030en2	366030.en	366030en	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 83 \)	\( 2 \cdot 3^{16} \cdot 5 \cdot 7^{8} \cdot 83^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$24.42314785$	$1$		$0$	$11796480$	$2.440689$	$3087199234101529/199326394890$	$0.90458$	$4.21009$	$[1, -1, 1, -1337783, 561690357]$	\(y^2+xy+y=x^3-x^2-1337783x+561690357\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[(6095/2, 356943/2), (4175/2, 134763/2)]$
418320.ex1	418320ex2	418320.ex	418320ex	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 83 \)	\( 2^{13} \cdot 3^{16} \cdot 5 \cdot 7^{2} \cdot 83^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$9960$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.160881$	$3087199234101529/199326394890$	$0.90458$	$3.90725$	$[0, 0, 0, -436827, 104742794]$	\(y^2=x^3-436827x+104742794\)	2.3.0.a.1, 40.6.0.b.1, 996.6.0.?, 9960.12.0.?	$[]$