Elliptic curve search results

Results (10 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
60690.f1	60690l2	60690.f	60690l	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$8847360$	$3.101036$	$37769548376817211811066153/1011738331054080$	$1.05465$	$6.11912$	$[1, 1, 0, -118828773, -498624543603]$	\(y^2+xy=x^3+x^2-118828773x-498624543603\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
60690.bc1	60690bc2	60690.bc	60690bc	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$35.50516665$	$1$		$0$	$150405120$	$4.517639$	$37769548376817211811066153/1011738331054080$	$1.05465$	$7.66261$	$[1, 0, 1, -34341515548, -2449501992113062]$	\(y^2+xy+y=x^3-34341515548x-2449501992113062\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(2489370012198342337/1911881, 3761219926766054532394209967/1911881)]$
182070.bx1	182070bf2	182070.bx	182070bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{14} \cdot 5 \cdot 7^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$3.781551819$	$1$		$4$	$1203240960$	$5.066948$	$37769548376817211811066153/1011738331054080$	$1.05465$	$7.51181$	$[1, -1, 1, -309073639928, 66136553787052667]$	\(y^2+xy+y=x^3-x^2-309073639928x+66136553787052667\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(321117, -26423)]$
182070.ee1	182070o2	182070.ee	182070o	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{14} \cdot 5 \cdot 7^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$0.691057043$	$1$		$6$	$70778880$	$3.650341$	$37769548376817211811066153/1011738331054080$	$1.05465$	$6.10832$	$[1, -1, 1, -1069458962, 13461793218321]$	\(y^2+xy+y=x^3-x^2-1069458962x+13461793218321\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(18849, -1809)]$
303450.fm1	303450fm2	303450.fm	303450fm	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5^{7} \cdot 7^{6} \cdot 17^{9} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$12.48932935$	$1$		$0$	$3609722880$	$5.322365$	$37769548376817211811066153/1011738331054080$	$1.05465$	$7.45063$	$[1, 1, 1, -858537888688, -306187749014132719]$	\(y^2+xy+y=x^3+x^2-858537888688x-306187749014132719\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(840234965/11, 24122076768927/11)]$
303450.fp1	303450fp2	303450.fp	303450fp	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5^{7} \cdot 7^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1.279745257$	$1$		$6$	$212336640$	$3.905754$	$37769548376817211811066153/1011738331054080$	$1.05465$	$6.10394$	$[1, 0, 0, -2970719338, -62322126511708]$	\(y^2+xy=x^3-2970719338x-62322126511708\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(-31468, 14534)]$
424830.bb1	424830bb2	424830.bb	424830bb	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 7^{12} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$9$	$3$	$0$	$7219445760$	$5.490601$	$37769548376817211811066153/1011738331054080$	$1.05465$	$7.41297$	$[1, 1, 0, -1682734261828, 840177500560518352]$	\(y^2+xy=x^3+x^2-1682734261828x+840177500560518352\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
424830.do1	424830do2	424830.do	424830do	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 7^{12} \cdot 17^{3} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$0$	$424673280$	$4.073990$	$37769548376817211811066153/1011738331054080$	$1.05465$	$6.10124$	$[1, 0, 1, -5822609903, 171010750626146]$	\(y^2+xy+y=x^3-5822609903x+171010750626146\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
485520.dd1	485520dd2	485520.dd	485520dd	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{30} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 17^{9} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$1$	$1$		$1$	$3609722880$	$5.210793$	$37769548376817211811066153/1011738331054080$	$1.05465$	$7.08091$	$[0, -1, 0, -549464248760, 156768127495235952]$	\(y^2=x^3-x^2-549464248760x+156768127495235952\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[]$
485520.fm1	485520fm2	485520.fm	485520fm	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{30} \cdot 3^{8} \cdot 5 \cdot 7^{6} \cdot 17^{3} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	2.3.0.1	2B	$2380$	$12$	$0$	$3.729256553$	$1$		$3$	$212336640$	$3.794182$	$37769548376817211811066153/1011738331054080$	$1.05465$	$5.78256$	$[0, 1, 0, -1901260376, 31908168269844]$	\(y^2=x^3+x^2-1901260376x+31908168269844\)	2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.?	$[(57046, 10444800)]$