Elliptic curve search results

Results (23 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
3570.n1	3570q2	3570.n	3570q	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.165071985$	$1$		$10$	$30720$	$1.628181$	$17460273607244690041/918397653311250$	$0.98339$	$5.41623$	$[1, 0, 1, -54048, 4606756]$	\(y^2+xy+y=x^3-54048x+4606756\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(80, 852)]$
10710.bf1	10710be2	10710.bf	10710be	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$245760$	$2.177486$	$17460273607244690041/918397653311250$	$0.98339$	$5.48534$	$[1, -1, 1, -486428, -124382419]$	\(y^2+xy+y=x^3-x^2-486428x-124382419\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
17850.bc1	17850bd2	17850.bc	17850bd	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$737280$	$2.432899$	$17460273607244690041/918397653311250$	$0.98339$	$5.51220$	$[1, 1, 1, -1351188, 575844531]$	\(y^2+xy+y=x^3+x^2-1351188x+575844531\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
24990.a1	24990c2	24990.a	24990c	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$0$	$1474560$	$2.601135$	$17460273607244690041/918397653311250$	$0.98339$	$5.52841$	$[1, 1, 0, -2648328, -1582765722]$	\(y^2+xy=x^3+x^2-2648328x-1582765722\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
28560.bp1	28560cw2	28560.bp	28560cw	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$737280$	$2.321327$	$17460273607244690041/918397653311250$	$0.98339$	$5.12919$	$[0, -1, 0, -864760, -294832400]$	\(y^2=x^3-x^2-864760x-294832400\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
53550.bd1	53550bi2	53550.bd	53550bi	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{10} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$14.23354474$	$1$		$0$	$5898240$	$2.982208$	$17460273607244690041/918397653311250$	$0.98339$	$5.56142$	$[1, -1, 0, -12160692, -15559963034]$	\(y^2+xy=x^3-x^2-12160692x-15559963034\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(16081151/58, 36311496371/58)]$
60690.e1	60690e2	60690.e	60690e	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 17^{8} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.631715882$	$1$		$2$	$8847360$	$3.044788$	$17460273607244690041/918397653311250$	$0.98339$	$5.56640$	$[1, 1, 0, -15619733, 22648613187]$	\(y^2+xy=x^3+x^2-15619733x+22648613187\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(5441, 311567)]$
74970.ee1	74970ed2	74970.ee	74970ed	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 7^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$4$	$2$	$0$	$11796480$	$3.150444$	$17460273607244690041/918397653311250$	$0.98339$	$5.57456$	$[1, -1, 1, -23834957, 42710839539]$	\(y^2+xy+y=x^3-x^2-23834957x+42710839539\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
85680.a1	85680dw2	85680.a	85680dw	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$2.240322639$	$1$		$3$	$5898240$	$2.870636$	$17460273607244690041/918397653311250$	$0.98339$	$5.21341$	$[0, 0, 0, -7782843, 7968257642]$	\(y^2=x^3-7782843x+7968257642\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-59, 91800)]$
114240.cx1	114240bj2	114240.cx	114240bj	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$0.992251046$	$1$		$7$	$5898240$	$2.667904$	$17460273607244690041/918397653311250$	$0.98339$	$4.87574$	$[0, -1, 0, -3459041, 2362118241]$	\(y^2=x^3-x^2-3459041x+2362118241\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(536, 25725)]$
114240.fp1	114240iu2	114240.fp	114240iu	$2$	$2$	\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{19} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$5898240$	$2.667904$	$17460273607244690041/918397653311250$	$0.98339$	$4.87574$	$[0, 1, 0, -3459041, -2362118241]$	\(y^2=x^3+x^2-3459041x-2362118241\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
124950.gz1	124950in2	124950.gz	124950in	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 7^{16} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$29.85488193$	$1$		$0$	$35389440$	$3.405857$	$17460273607244690041/918397653311250$	$0.98339$	$5.59308$	$[1, 0, 0, -66208213, -197713298833]$	\(y^2+xy=x^3-66208213x-197713298833\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(59414853476423/66598, 337301851798593225923/66598)]$
142800.jm1	142800cb2	142800.jm	142800cb	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$17694720$	$3.126049$	$17460273607244690041/918397653311250$	$0.98339$	$5.24727$	$[0, 1, 0, -21619008, -36897288012]$	\(y^2=x^3+x^2-21619008x-36897288012\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
182070.cx1	182070q2	182070.cx	182070q	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2 \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$4$	$2$	$0$	$70778880$	$3.594093$	$17460273607244690041/918397653311250$	$0.98339$	$5.60573$	$[1, -1, 1, -140577602, -611653133649]$	\(y^2+xy+y=x^3-x^2-140577602x-611653133649\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
199920.fu1	199920bz2	199920.fu	199920bz	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17 \)	\( 2^{13} \cdot 3^{2} \cdot 5^{4} \cdot 7^{16} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$35389440$	$3.294285$	$17460273607244690041/918397653311250$	$0.98339$	$5.26802$	$[0, 1, 0, -42373256, 101212259700]$	\(y^2=x^3+x^2-42373256x+101212259700\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
303450.hf1	303450hf2	303450.hf	303450hf	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 17^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{10} \cdot 7^{10} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$4$	$2$	$0$	$212336640$	$3.849506$	$17460273607244690041/918397653311250$	$0.98339$	$5.62168$	$[1, 0, 0, -390493338, 2831857635042]$	\(y^2+xy=x^3-390493338x+2831857635042\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
342720.lv1	342720lv2	342720.lv	342720lv	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{19} \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$47185920$	$3.217209$	$17460273607244690041/918397653311250$	$0.98339$	$4.97265$	$[0, 0, 0, -31131372, 63746061136]$	\(y^2=x^3-31131372x+63746061136\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
342720.ma1	342720ma2	342720.ma	342720ma	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \)	\( 2^{19} \cdot 3^{8} \cdot 5^{4} \cdot 7^{10} \cdot 17^{2} \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1.627371226$	$1$		$23$	$47185920$	$3.217209$	$17460273607244690041/918397653311250$	$0.98339$	$4.97265$	$[0, 0, 0, -31131372, -63746061136]$	\(y^2=x^3-31131372x-63746061136\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(-3322, 54880), (-3770, 6048)]$
374850.hv1	374850hv2	374850.hv	374850hv	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 17 \)	\( 2 \cdot 3^{8} \cdot 5^{10} \cdot 7^{16} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$20.36158199$	$1$		$0$	$283115520$	$3.955162$	$17460273607244690041/918397653311250$	$0.98339$	$5.62791$	$[1, -1, 0, -595873917, 5338259068491]$	\(y^2+xy=x^3-x^2-595873917x+5338259068491\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(11210378559/791, 313804379357778/791)]$
424830.ep1	424830ep2	424830.ep	424830ep	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 17^{2} \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{16} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$4$	$2$	$0$	$424673280$	$4.017746$	$17460273607244690041/918397653311250$	$0.98339$	$5.63151$	$[1, 0, 1, -765366943, -7770770423944]$	\(y^2+xy+y=x^3-765366943x-7770770423944\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$
428400.hq1	428400hq2	428400.hq	428400hq	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \)	\( 2^{13} \cdot 3^{8} \cdot 5^{10} \cdot 7^{10} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$3.279432811$	$1$		$5$	$141557760$	$3.675354$	$17460273607244690041/918397653311250$	$0.98339$	$5.31104$	$[0, 0, 0, -194571075, 996032205250]$	\(y^2=x^3-194571075x+996032205250\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(759, 921298)]$
431970.hk1	431970hk2	431970.hk	431970hk	$2$	$2$	\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 17 \)	\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 11^{6} \cdot 17^{2} \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$12.43776156$	$1$		$0$	$33177600$	$2.827129$	$17460273607244690041/918397653311250$	$0.98339$	$4.52322$	$[1, 0, 0, -6539750, -6138132318]$	\(y^2+xy=x^3-6539750x-6138132318\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[(1454431/2, 1752543449/2)]$
485520.fp1	485520fp2	485520.fp	485520fp	$2$	$2$	\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 17^{2} \)	\( 2^{13} \cdot 3^{2} \cdot 5^{4} \cdot 7^{10} \cdot 17^{8} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.6	2B	$952$	$12$	$0$	$1$	$1$		$1$	$212336640$	$3.737934$	$17460273607244690041/918397653311250$	$0.98339$	$5.31762$	$[0, 1, 0, -249915736, -1450011075436]$	\(y^2=x^3+x^2-249915736x-1450011075436\)	2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.?	$[]$